[1] Sharp Estimation Of Convergence Rate For Self-Consistent Field Iteration to Solve Eigenvector-Dependent Nonlinear Eigenvalue Problems

[2] On Nonlinear Matrix Equations from the First Standard Form

[3] On Generalizing Trace Minimization Principles

[4] Maximizing Sum of Coupled Traces with Applications

[5] Trace ratio optimization with an application to multi-view learning

[6] Multi-view Orthonormalized Partial Least Squares: Regularizations and Deep Extensions

[7] A hybrid WENO scheme for steady-state simulations of Euler equations

[8] A simplified multilayer perceptron detector for the hybrid WENO scheme

[9] A new hybrid WENO scheme with the high-frequency region for hyperbolic conservation laws

[10] Arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for KdV type equations

[11] Corrector Analysis of a Heterogeneous Multi-scale Scheme for Elliptic Equations with Random Potential

[12] Target Identification Using Dictionary Matching of Generalized Polarization Tensors

[13] Corrector theory for MsFEM and HMM in random media

[14] Sparse Gaussian processes for solving nonlinear PDEs

[15] Numerical methods for mean field games based on Gaussian processes and Fourier features

[16] An efficient method for computing stationary states of phase field crystal models

[17] Convergence analysis for iterative data-driven tight frame construction scheme

[18] PET-MRI Joint Reconstruction by Joint Sparsity Based Tight Frame Regularization

[19] Whole Brain Susceptibility Mapping Using Harmonic Incompatibility Removal

[20] Efficient Numerical Methods for Computing the Stationary States of Phase Field Crystal Models

[21] An Adaptive Block Bregman Proximal Gradient Method for Computing Stationary States of Multicomponent Phase-Field Crystal Model

[22] High-Order Bound-Preserving Finite Difference Methods for Multispecies and Multireaction Detonations

[23] Maximum-principle-preserving local discontinuous Galerkin methods for Allen-Cahn equations,

[24] Discontinuous Galerkin Method with Staggered Hybridization for a Class of Nonlinear Stokes Equations

[25] An adaptive SDG method for the Stokes system

[26] Moving-Water Equilibria Preserving Partial Relaxation Scheme for the Saint-Venant System

[27] Positivity-preserving third order DG schemes for Poisson–Nernst–Planck equations

[28] Error Estimates of a Regularized Finite Difference Method for the Logarithmic Schrödinger Equation

[29] A Uniformly and Optimally Accurate Method for the Zakharov System in the Subsonic Limit Regime

[30] A Lawson-type exponential integrator for the Korteweg–de Vries equation

[31] Uniform error bounds of a finite difference method for the Klein-Gordon-Zakharov system in the subsonic limit regime

[32] Uniform Error Bounds of a Finite Difference Method for the Zakharov System in the Subsonic Limit Regime via an Asymptotic Consistent Formulation

[33] Numerical study of the logarithmic Schrodinger equation with repulsive harmonic potential

[34] Uniform error bounds of time-splitting spectral methods for the long-time dynamics of the nonlinear Klein–Gordon equation with weak nonlinearity

[35] Error estimates of local energy regularization for the logarithmic Schrödinger equation

[36] A Conservative Linearly-Implicit Compact Difference Scheme for the Quantum Zakharov System

[37] An exponential integrator sine pseudospectral method for the generalized improved Boussinesq equation

[38] A uniformly first-order accurate method for Klein-Gordon-Zakharov system in simultaneous high-plasma-frequency and subsonic limit regime

[39] On the accurate evaluation of unsteady Stokes layer potentials in moving two-dimensional geometries

[40] An Integral Equation Method for the Simulation of Doubly-Periodic Suspensions of Rigid Bodies in a Shearing Viscous Flow

[41] Explicit Unconditionally Stable Methods For the Heat Equation via Potential Theory

[42] Hybrid Asymptotic/Numerical Methods for the Evaluation of Layer Heat Potentials in Two Dimensions

[43] An Adaptive Fast Gauss Transform in Two Dimensions

[44] Unfitted Nitsche's method for computing wave modes in topological materials

[45] Unfitted Nitsche's method for computing band structures in phononic crystals with impurities

[46] Bloch theory-based gradient recovery method for computing topological edge modes in photonic graphene

[47] High-order positivity-preserving well-balanced discontinuous Galerkin methods for Euler equations with gravitation on unstructured meshes

[48] A new hydrostatic reconstruction scheme based on subcell reconstructions

[49] A Mixed Discontinuous Galerkin Method Without Interior Penalty for Time-Dependent Fourth Order Problems

[50] Arbitrary Lagrangian-Eulerian local discontinuous Galerkin method for linear convection-diffusion equations

[51] Positivity-preserving well-balanced arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the shallow water equations

[52] Local discontinuous Galerkin methods to a dispersive system of KdV-type equations

[53] Optimal convergence and superconvergence of semi-Lagrangian discontinuous Galerkin methods for linear convection equations in one space dimension

[54] The hybrid dimensional representation of permeability tensor: a reinterpretation of the discrete fracture model and its extension on nonconforming meshes

[55] Kurdyka- Lojasiewicz exponent via inf-projection

[56] A semidefinite program approach for computing the maximum eigenvalue of a class of structured tensors and its applications in hypergraphs and copositivity test

[57] Convergent semidefinite programming relaxations for global bilevel polynomial optimization problems

[58] A note on alternating projections for ill-posed semidefinite feasibility problems

[59] Trust-region problems with linear inequality constraints: exact SDP relaxation, global optimality and robust optimization

[60] Analysis of the Convergence Rate for the Cyclic Projection Algorithm Applied to Basic Semialgebraic Convex Sets

[61] A Scalable Algorithm for Large-scale Unsupervised Multi-view Partial Least Squares

[62] A Self-Consistent-Field Iteration for Orthogonal Canonical Correlation Analysis

[63] A Fast Algorithm For Fast Train Palindromic Quadratic Eigenvalue Problems

[64] A Block Chebyshev-Davidson Method for Linear Response Eigenvalue Problems

[65] Probabilistic Structure Learning for EEG/MEG Source Imaging with Hierarchical Graph Prior

[66] First-order Perturbation Theory for Eigenvalues and Eigenvectors

[67] An Efficient Numerical Method for the Symmetric Positive Definite Second-Order Cone Linear Complementarity Problem

[68] Entropy symmetrization and high-order accurate entropy stable numerical schemes for relativistic MHD equations

[69] Positivity-Preserving Analysis of Numerical Schemes for Ideal Magnetohydrodynamics

[70] Provably Positive High-Order Schemes for Ideal Magnetohydrodynamics: Analysis on General Meshes

[71] Admissible States and Physical-Constraints-Preserving Schemes for Relativistic Magnetohydrodynamic Equations

[72] On the reconstruction of boundary impedance of a heat conduction system from nonlocal measurement

[73] On the reconstruction of unknown time-dependent boundary sources for time fractional diffusion process by distributing measurement

[74] Numerical solution of an inverse boundary value problem for the heat equation with unknown inclusions

[75] Numerical reconstruction of unknown Robin inclusions inside a heat conductor by a non-iterative method

[76] An inverse source problem for distributed order time-fractional diffusion equation

[77] Image restoration from noisy incomplete frequency data by alternative iteration scheme

[78] Random batch methods (RBM) for interacting particle systems

[79] FAME: Fast Algorithms for Maxwell’s Equations for Three-Dimensional Photonic Crystals

[80] Numerical Simulations of Viscoelastic Fluid Flows Past a Transverse Slot Using Least-Squares Finite Element Methods

[81] Conservative discontinuous Galerkin methods for the nonlinear Serre equations

[82] On moving mesh WENO schemes with characteristic boundary conditions for Hamilton-Jacobi equations

[83] Discontinuous Galerkin methods for the Ostrovsky-Vakhnenko equation

[84] Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for hyperbolic equations involving $\delta$-singularities

[85] Discontinuous Galerkin methods for short pulse type equations via hodograph transformations

[86] High order arbitrary Lagrangian-Eulerian finite difference WENO scheme for Hamilton-Jacobi equations

[87] Positivity preserving limiters for time-implicit higher order accurate discontinuous Galerkin discretizations

[88] Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws on moving simplex meshes

[89] Local discontinuous Galerkin methods for the μ-Camassa–Holm and μ-Degasperis–Procesi equations

[90] Asymptotic preserving spectral deferred correction methods for hyperbolic systems with relaxation

[91] Stability analysis and error estimates of arbitrary Lagrangian-Eulerian discontinuous Galerkin method coupled with Runge-Kutta time-marching for linear conservation laws

[92] A two-component Matched Interface and Boundary (MIB) regularization for charge singularity in implicit solvation

[93] Variational implicit-solvent predictions of the dry-wet transition pathways for ligand-receptor binding and unbinding kinetics

[94] A Machine Learning Framework for Solving High-Dimensional Mean Field Game and Mean Field Control Problems

[95] Unnormalized optimal transport

[96] Proper Orthogonal Decomposition Method to Nonlinear Filtering Problems in Medium-High Dimension

[97] GPS trajectory data segmentation based on probabilistic logic

[98] An adaptive dynamically low-dimensional approximation method for multiscale stochastic diffusion equations

[99] A model reduction method for multiscale elliptic PDEs with random coefficients using an optimization approach

[100] Multiscale tailored finite point method for second order elliptic equations with rough or highly oscillatory coefficients

[101] An adaptiveANOVA-based data-driven stochastic method for elliptic PDEs with random coefficient

[102] An analysis of the finite-difference method for one-dimensional KleinGordon equation on unbounded domain

[103] Split local absorbing conditions for one-dimensional nonlinear Klein-Gordon equation on unbounded domain

[104] A dynamically bi-orthogonal method for time-dependent stochastic partial differential equations II: Adaptivity and generalizations

[105] A dynamically bi-orthogonal method for time-dependent stochastic partial differential equations I: Derivation and algorithms

[106] On the rate of convergence of finite-difference approximations for Bellman equations with constant coefficients

[107] A time domain blind decorrelation method of convolutive mixtures based on an IIR model

[108] A weighted difference of anisotropic and isotropic total variation for relaxed Mumford-Shah image segmentation

[109] An orthogonal discrete auditory transform

[110] A semi-blind source separation method for differential optical absorption spectroscopy of atmospheric gas mixtures

[111] A randomly perturbed INFOMAX algorithm for blind source separation

[112] A convex model and L1 minimization for musical noise reduction in blind source separation

[113] Computing effective diffusivity of chaotic and stochastic flows using structure-preserving schemes

[114] A numerical study of turbulent flame speeds of curvature and strain G-equations in cellular flows

[115] Point Source Super-resolution Via Non-convex L_1 Based Methods

[116] Minimization of Transformed L_1 Penalty: Theory, Difference of Convex Function Algorithm, and Robust Application in Compressed Sensing

[117] Computing Sparse Representation in a Highly Coherent Dictionary Based on Difference of L_1 and L_1L2

[118] A method for finding structured sparse solutions to nonnegative least squares problems with applications

[119] Harmonic Functions for Data Reconstruction on 3D Manifolds

[120] Variational Method on Discrete Ricci Flow.

[121] Computing and visualizing constant-curvature metrics on hyperbolic 3-manifolds with Boundaries

[122] Geometric registration based on distortion estimation

[123] Discrete curvature flows for surfaces and 3-manifolds

[124] Discrete Ricci flow for geometric routing

[125] Computing general geometric structures on surfaces using Ricci flow

[126] Optimal mass transport for shape matching and comparison

[127] Resilient routing for sensor networks using hyperbolic embedding of universal covering space

[128] Area-preservation mapping using optimal mass transport

[129] Greedy routing with guaranteed delivery using ricci flows

[130] A fast algorithm for edge-preserving variational multichannel image restoration

[131] A fast alternating direction method for TVL1-L2 signal reconstruction from partial Fourier data

[132] Solving a low-rank factorization model for matrix completion by a nonlinear successive over-relaxation algorithm

[133] Fixed-point continuation for \ell_1-minimization: Methodology and convergence

[134] An iterative regularization method for total variation-based image restoration

[135] A modified Newton's method for rational Riccati equations arising in stochastic control

[136] A structure-preserving doubling algorithm for quadratic eigenvalue problems arising from time-delay systems

[137] Numerical studies on structure-preserving algorithms for surface acoustic wave simulations

[138] Solving three dimensional Maxwell eigenvalue problem with fourteen Bravais lattices

[139] Solution of a nonsymmetric algebraic Riccati equation from a one-dimensional multistate transport model

[140] Solution of a nonsymmetric algebraic Riccati equation from a two-dimensional transport model

[141] An efficient numerical algorithm for computing densely distributed positive interior transmission eigenvalues

[142] Large-scale Stein and Lyapunov equations, Smith method, and applications

[143] Nonlinear and linear elastic impact theory

[144] Surface segmentation using global conformal structure

[145] Multilevel quality-guided phase unwrapping algorithm for real-time three-dimensional shape reconstruction

[146] I-LAMM for sparse learning: Simultaneous control of algorithmic complexity and statistical error

[147] A fast Huygens sweeping method for capturing paraxial multi-color optical self-focusing in nematic liquid crystals

[148] A fast sweeping method for eikonal equations on implicit surfaces

[149] Modified Virtual Grid Difference for Discretizing the Laplace--Beltrami Operator on Point Clouds

[150] An adjoint state method for numerical approximation of continuous traffic congestion equilibria

[151] A new continuous max-flow algorithm for multiphase image segmentation using super-level set functions

[152] The backward phase flow method for the Eulerian finite time Lyapunov exponent computations

[153] An Eulerian approach for computing the finite time Lyapunov exponent

[154] Guarantees of Riemannian optimization for low rank matrix recovery

[155] A grid based particle method for solving partial differential equations on evolving surfaces and modeling high order geometrical motion

[156] Generalized pseudopolar format algorithm for radar imaging with highly suboptimal aperture length

[157] Modeling for laser-material interaction to predict and control the cross sectional area of coaxial laser cladding with powder

[158] Sensing and control for geometry stability of the melt pool and the cross sectional area in laser cladding

[159] A filter active-set algorithm for ball/sphere constrained optimization problem

[160] On unitary elements defined on Lorentz cone and their applications

[161] A continuation approach for solving binary quadratic program based on a class of NCP-functions

[162] Unified smoothing functions for absolute value equation associated with second-order cone

[163] Two unconstrained optimization approaches for the Euclidean -centrum location problem

[164] A neural network based on the generalized FB function for nonlinear convex programs with second-order cone constraints

[165] Proximal-like algorithm using the quasi D-function for convex second-order cone programming

[166] Numerical comparisons of two effective methods for mixed complementarity problems

[167] An R-linearly convergent derivative-free algorithm for the NCPs based on the generalized Fischer-Burmeister merit function

[168] The SC1 property of the squared norm of the SOC FischerBurmeister function

[169] One-Shot Domain Decomposition Methods for Shape Optimization Problems

[170] Simulating flows passing a wind turbine with a fully implicit domain decomposition method

[171] Parallel One-Shot Lagrange--Newton--Krylov--Schwarz Algorithms for Shape Optimization of Steady Incompressible Flows

[172] Online mixed multiscale finite element method with oversampling and its applications

[173] Multiscale stabilization for convection diffusion equations with heterogeneous velocity and diffusion coefficients

[174] Staggered discontinuous Galerkin methods for the Helmholtz equations with large wave number

[175] A Constraint energy minimizing generalized multiscale finite element method for parabolic equations

[176] Staggered discontinuous Galerkin approximation for immersed boundary method

[177] On overlapping domain decomposition methods for high-contrast multiscale problems

[178] Adaptive generalized multiscale finite element methods for H (curl)-elliptic problems with heterogeneous coefficients

[179] Reiterated multiscale model reduction using the generalized multiscale finite element method

[180] BDDC and FETI-DP methods with enriched coarse spaces for elliptic problems with oscillatory and high contrast coefficients

[181] A ray-based IPDG method for high-frequency time-domain acoustic wave propagation in inhomogeneous media

[182] Cluster-based generalized multiscale finite element method for elliptic PDEs with random coefficients

[183] An Adaptive Staggered Discontinuous Galerkin Method for the Steady State ConvectionDiffusion Equation

[184] Mixed GMsFEM for the simulation of waves in highly heterogeneous media

[185] Deep global model reduction learning

[186] Multiscale simulations for coupled flow and transport using the generalized multiscale finite element method

[187] Computational multiscale methods for linear heterogeneous poroelasticity

[188] An adaptive generalized multiscale discontinuous Galerkin method for high-contrast flow problems

[189] Generalized multiscale finite element methods for spacetime heterogeneous parabolic equations

[190] Nonlocal multicontinuum (NLMC) upscaling of mixed dimensional coupled flow problem for embedded and discrete fracture models

[191] Constraint energy minimizing generalized multiscale finite element method in the mixed formulation

[192] An enriched multiscale mortar space for high contrast flow problems

[193] Deep multiscale model learning

[194] Multiscale stabilization for convection-dominated diffusion in heterogeneous media

[195] Staggered discontinuous Galerkin methods for the incompressible NavierStokes equations

[196] Fast online generalized multiscale finite element method using constraint energy minimization

[197] A staggered discontinuous Galerkin method for the simulation of seismic waves with surface topography

[198] Online adaptive local multiscale model reduction for heterogeneous problems in perforated domains

[199] Adaptive mixed GMsFEM for flows in heterogeneous media

[200] Coupling of multiscale and multi-continuum approaches

[201] An online generalized multiscale discontinuous Galerkin method (GMsDGM) for flows in heterogeneous media

[202] BDDC and FETI-DP preconditioners with adaptive coarse spaces for three-dimensional elliptic problems with oscillatory and high contrast coefficients

[203] Generalized multiscale finite-element method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media

[204] Residual-driven online generalized multiscale finite element methods

[205] Mixed generalized multiscale finite element methods and applications

[206] Adaptive multiscale model reduction with generalized multiscale finite element methods

[207] M\"untz-Galerkin methods and applications to mixed Dirichlet-Neumann boundary value problems

[208] The iterative convolution-thresholding method (ICTM) for image segmentation

[209] Structure-Preserving Methods for Computing Complex Band Structures of Three Dimensional Photonic Crystals

[210] Stability analysis and error estimates of local discontinuous Galerkin methods for convection-diffusion equations on overlapping meshes

[211] Local discontinuous Galerkin method for incompressible miscible displacement problem in porous media

[212] Superconvergence of discontinuous Galerkin methods for linear hyperbolic equations with singular initial data

[213] Interior Estimates of Semidiscrete Finite Element Methods for Parabolic Problems with Distributional Data

[214] Energy dissipative local discontinuous Galerkin methods for Keller-Segel chemotaxis model

[215] Conservative local discontinuous Galerkin method for compressible miscible displacements in porous media

[216] High-order local discontinuous Galerkin method for simulating wormhole propagation

[217] Bound-Preserving Discontinuous Galerkin Method for Compressible Miscible Displacement in Porous Media

[218] High-Order bound-preserving discontinuous Galerkin methods for wormhole propagation on triangular meshes

[219] High-order bound-preserving discontinuous Galerkin methods for compressible miscible displacements in porous media on triangular meshes

[220] Third-order conservative sign-preserving and steady-state-preserving time integrations and applications in stiff multispecies and multireaction detonations

[221] Third order maximum-principle-satisfying DG schemes for convection-diffusion problems with anisotropic diffusivity

[222] Green's function for anisotropic dispersive poroelastic media based on the Radon transform and eigenvector diagonalization

[223] Error bounds for parametric polynomial systems with applications to higher-order stability analysis and convergence rates

[224] A high order accurate bound-preserving compact finite difference scheme for scalar convection diffusion equations

[225] Superconvergence of Discontinuous Galerkin methods for linear hyperbolic equations

[226] Towards Ultrahigh Dimensional Feature Selection for Big Data

[227] An efficient algorithm for second-order cone linear complementarity problems

[228] A nested Lanczos method for the trust-region subproblem

[229] Real-Time Solution of Time-Varying Yau Filtering Problems via Direct Method

[230] Suboptimal Linear Estimation for Continuous-discrete Bilinear Systems

[231] The suboptimal method via probabilists' Hermite polynomials to solve nonlinear filtering problems

[232] Direct method for Yau filtering system with nonlinear observations

[233] Convergence rate analysis for averaged fixed point iterations in common fixed point problems

[234] Convergence rate analysis for the higher order power method in best rank one approximations of tensors

[235] New fractional error bounds for polynomial systems with applications to Hölderian stability in optimization and spectral theory of tensors

[236] Total variation and tight frame image segmentation with intensity inhomogeneity

[237] Error estimates and post-processing of local discontinuous Galerkin method for Schrödinger equations

[238] Conservative and dissipative local discontinuous Galerkin methods for Korteweg-de Vries type equations

[239] An arbitrary Lagrangian-Eulerian local discontinuous Galerkin method for Hamilton-Jacobi equations

[240] Semi-implicit spectral deferred correction methods for highly nonlinear partial differential equations

[241] Maximum-principle-preserving third-order local discontinuous Galerkin method for convection-diffusion equations on overlapping meshes

[242] High-order bound-preserving discontinuous Galerkin methods for stiff multispecies detonation

[243] Computing the full spectrum of large sparse palindromic quadratic eigenvalue problems arising from surface Green's function calculations

[244] Solving Three Dimensional Maxwell Eigenvalue Problems with Fourteen Bravais Lattices

[245] Spectral viscosity method with generalized Hermite functions for nonlinear conservation laws

[246] Error Analysis of the Wiener-Askey Polynomial Chaoswith Hyperbolic Cross Approximation and Its Applicationto Differential Equations with Random Inputs

[247] Discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials on unstructured meshes

[248] Third order implicit-explicit Runge-Kutta local discontinuous Galerkin methods with suitable boundary treatment for convection-diffusion problems with Dirichlet boundary conditions

[249] Conservative high order positivity-preserving discontinuous Galerkin methods for linear hyperbolic and radiative transfer equations

[250] Bound-preserving modified exponential Runge-Kutta discontinuous Galerkin methods for scalar hyperbolic equations with stiff source terms

[251] On the time growth of the error of the DG method for advective problems

[252] Discontinuous-Galerkin methods for a kinetic model of self-organized dynamics

[253] Superconvergence of discontinuous Galerkin method for nonlinear hyperbolic equations

[254] Optimal error estimates of the semidiscrete central discontinuous Galerkin methods for linear hyperbolic equations

[255] Entropy stable high order discontinuous Galerkin methods for ideal compressible MHD on structured meshes

[256] Implicit positivity-preserving high order discontinuous Galerkin methods for conservation laws

[257] A discontinuous Galerkin method for nonlinear parabolic equations and gradient flow problems with interaction potentials

[258] Local discontinuous Galerkin methods with implicit-explicit time-marching for time-dependent incompressible fluid flow

[259] On local conservation of numerical methods for conservation laws

[260] Positivity-preserving high-order schemes for conservation laws on arbitrarily distributed point clouds with a simple WENO limiter

[261] Positivity-preserving and symmetry-preserving Lagrangian schemes for compressible Euler equations in cylindrical coordinates

[262] Numerical study on the convergence to steady state solutions of a new class of high order WENO schemes

[263] Unconditional energy stability analysis of a second order implicit-explicit local discontinuous Galerkin method for the Cahn-Hilliard equation

[264] A new trouble-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws

[265] Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws

[266] Superconvergence of discontinuous Galerkin methods for 1-D linear hyperbolic equations with degenerate variable coefficients

[267] Discontinuous Galerkin deterministic solvers for a Boltzmann-Poisson model of hot electron transport by averaged empirical pseudopotential band structures

[268] Discontinuous Galerkin methods for weakly coupled hyperbolic multi-domain problems

[269] Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for the time-dependent fourth order PDEs

[270] A simple bound-preserving sweeping technique for conservative numerical approximations

[271] Optimal non-dissipative discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials

[272] Finite difference Hermite WENO schemes for the Hamilton-Jacobi equations

[273] A phase-based interior penalty discontinuous Galerkin method for the Helmholtz equation with spatially varying wavenumber

[274] Analysis of an embedded discontinuous Galerkin method with implicit-explicit time-marching for convection-diffusion problems

[275] Local discontinuous Galerkin method for the Keller-Segel chemotaxis model

[276] A second-order asymptotic-preserving and positive-preserving discontinuous Galerkin scheme for the Kerr-Debye model

[277] Stability of the fourth order Runge-Kutta method for time-dependent partial differential equations

[278] Accurate Solution and Gradient Computation for Elliptic Interface Problems with Variable Coefficients

[279] A fast spectral method for the boltzmann collision operator with general collision kernels

[280] A four-dimensional Neumann ovaloid

[281] Measures with predetermined regularity and inhomogeneous self-similar sets

[282] Approximate Separability of the Green's Function of the Helmholtz Equation in the High Frequency Limit

[283] Compute Quasi-Conformal Map on Point Cloud by Point Integral Method

[284] A Nonlocal Stokes system with volume constraints

[285] Nonlocal approximation of elliptic operators with anisotropic coefficients on manifold

[286] A Harmonic Extension Approach for Collaborative Ranking

[287] Solitary waves bifurcated from Bloch-band edges in two- dimensional periodic media

[288] Linear instability of two-dimensional low-amplitude gap solitons near band edges in periodic media

[289] Removing the Stiffness of Elastic Force from the Immersed Boundary Method for the 2D Stokes Equations

[290] An Efficient Semi-Implicit Immersed Boundary Method for the Navier-Stokes Equations

[291] Adaptive Data Analysis via Sparse Time-Frequency Representation

[292] On Singularity Formation of a 3D Model for Incompressible Navier-Stokes Equations

[293] Dynamic Growth Estimates of Maximum Vorticity for 3D Incompressible Euler Equations and the SQG Model

[294] A Decadal Microwave Record of Tropical Air Temperature from AMSU-A/Aqua Observations

[295] Data-Driven Time-Frequency Analysis

[296] A Multiscale Model Reduction Method for Partial Differential Equations

[297] Sparse time-frequency representation of nonlinear and nonstationary data

[298] Convergence of a Data-Driven Time-Frequency Analysis Method

[299] Sparse Time Frequency Representations and Dynamical Systems

[300] Extraction of Intrawave Signals Using Sparse Time-Frequency Representation Method

[301] On the Uniqueness of Sparse Time-Frequency Representation of Multiscale Data

[302] Extracting a shape function for a signal with intrawave frequency modulation

[303] Sparse time-frequency decomposition based on dictionary adaptation

[304] A convergent point integral method for isotropic elliptic equations on point cloud

[305] Identification of time-varying cable tension forces based on adaptive sparse time-frequency analysis of cable vibrations

[306] Sparse Time-Frequency decomposition for multiple signals with same frequencies

[307] Enforce the Dirichlet boundary condition by volume constraint in Point Integral method

[308] A Two-Level Method for Sparse Time-Frequency Representation of Multiscale Data

[309] Convergence of the Point Integral method for Poisson Equation on Point Cloud

[310] Low Dimensional Manifold Model for Image Processing

[311] Convergence of Laplacian Spectra from Random Samples

[312] Low Dimensional Manifold Model in Hyperspectral Image Reconstruction

[313] Point integral method for elliptic equations with variable coefficients on point cloud

[314] Toward the Finite-Time Blowup of the 3D Incompressible Euler Equations: a Numerical Investigation

[315] A Fast Randomized Eigensolver with Structured LDL Factorization Update

[316] Point Integral Method for Solving Poisson-type Equations on Manifolds from Point Clouds with Convergence Guarantees

[317] Analysis of a new stabilized finite element method for the reaction-convection-diffusion equations with a large reaction coefficient

[318] Analysis of the small viscosity and large reaction coefficient in the computation of the generalized Stokes problem by a novel stabilized finite element method

[319] Computation of Maxwell singular solution by nodal-continuous elements

[320] An SPD stabilized finite element method for Stokes equations

[321] Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints

[322] Parametrized maximum principle preserving flux limiters for high order schemes solving hyperbolic conservation laws: one-dimensional scalar problem

[323] Asymptotically compatible schemes and applications to robust discretization of nonlocal models

[324] An unconditionally energy stable penalty immersed boundary method for simulating the dynamics of an inextensible interface interacting with a solid particle

[325] Regularized Least Squares Approximations on the Sphere Using Spherical Designs

[326] A new stabilized linear finite element method for solving reaction-convection-diffusion equations

[327] Coordinate-friendly structures, algorithms and applications

[328] A novel technique for constructing difference schemes for systems of singularly perturbed equations

[329] Restoration of Images Corrupted by Impulse Noise and Mixed Gaussian Impulse Noise Using Blind Inpainting

[330] ARock: an Algorithmic Framework for Asynchronous Parallel Coordinate Updates

[331] Accelerated first-order primal-dual proximal methods for linearly constrained composite convex programming

[332] A globally convergent algorithm for nonconvex optimization based on block coordinate update

[333] A block coordinate descent method for regularized multiconvex optimization with applications to nonnegative tensor factorization and completion

[334] Computational complexity study on Krylov integration factor WENO method for high spatial dimension convection-diffusion problems

[335] Krylov integration factor method on sparse grids for high spatial dimension convection-diffusion equations

[336] Krylov single-step implicit integration factor WENO method for advection-diffusion-reaction equations

[337] High order fixed-point sweeping WENO methods for steady state of hyperbolic conservation laws and its convergence study

[338] A third order fast sweeping method with linear computational complexity for Eikonal equations

[339] A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws

[340] Krylov implicit integration factor WENO methods for semilinear and fully nonlinear advection–diffusion–reaction equations

[341] A robust reconstruction for unstructured WENO schemes

[342] On convergence of the immersed boundary method for elliptic interface problems

[343] Hexagonal grid methods with applications to partial differential equations

[344] Local discontinuous Galerkin method and high order semi-implicit scheme for the phase field crystal equation

[345] Efficient high order semi-implicit time discretization and local discontinuous Galerkin methods for highly nonlinear PDEs

[346] High order local discontinuous Galerkin methods for the Allen-Cahn equation: analysis and simulation

[347] Fast solver for the local discontinuous Galerkin discretization of the KdV type equations

[348] An efficient, unconditionally energy stable local discontinuous Galerkin scheme for the Cahn-Hilliard-Brinkman system

[349] An efficient fully-discrete local discontinuous Galerkin method for the Cahn-Hilliard-Hele-Shaw system

[350] Efficient solvers of discontinuous Galerkin discretization for the Cahn-Hilliard equation

[351] Heat source identification based on l1 constrained minimization

[352] Fast sweeping methods for hyperbolic systems of conservation laws at steady state II

[353] Fast sweeping methods for hyperbolic systems of conservation laws at steady state

[354] Parareal multiscale methods for highly oscillatory dynamical systems

[355] An implicit interface boundary integral method for Poisson's equation on arbitrary domains

[356] Integration over curves and surfaces defined by the closest point mapping

[357] A null space free Jacobi-Davidson iteration for Maxwell's operator

[358] A robust numerical algorithm for computing Maxwell's transmission eigenvalue problems

[359] Continuation Methods for Computing Z-/H-eigenpairs of Nonnegative Tensors

[360] Reconstruction of a persistent random walk from exit time distributions

[361] Superconvergence of discontinuous Galerkin methods based on upwind-biased fluxes for 1D linear hyperbolic equations

[362] Bregman Iterative Model Using the G-norm

[363] A fast and robust algorithm for image restoration with periodic boundary conditions

[364] A Fast Method for Reconstruction of Total-Variation MR Images With a Periodic Boundary Condition

[365] Weighted-average alternating minimization method for magnetic resonance image reconstruction based on compressive sensing

[366] A fast method for L1–L2 modeling for MR image compressive sensing

[367] An image restoration model combining mixed L1/L2 fidelity terms

[368] Convergence of second-order schemes for isentropic gas dynamics

[369] Projection method I: convergence and numerical boundary layers

[370] The effects of numerical viscosities I: slowly moving shocks

[371] Finite difference schemes for incompressible flows in the vorticity formulations

[372] Vorticity boundary condition and related issues for finite difference schemes

[373] Essential compact scheme for unsteady viscous incompressible flows

[374] Projection method II: Godunov-Ryabenki analysis

[375] Finite difference methods for 3D viscous incompressible flows in the vorticity-vector potential formulation on non-staggered grids

[376] Convergence of difference schemes with high resolutions to conservation laws

[377] Finite difference schemes for incompressible flows in the impulse-velocity formulation

[378] The reconstruction of upwind fluxes for conservation laws, its behavior in dynamic and steady state calculations

[379] Generalized monotone schemes, discrete paths of extrema, and discrete entropy conditions

[380] Convergence of a Galerkin method for 2-D discontinuous Euler flows

[381] A high order discontinuous Galerkin method for incompressible flows

[382] Convergence of gauge method for incompressible flow

[383] Gauge finite element method for incompressible flows

[384] An energy preserving MAC-Yee scheme for the incompressible MHD equation

[385] Simple finite element method in vorticity formulation for incompressible flow

[386] Analysis of finite difference schemes for unsteady Navier-Stokes equations in vorticity formulation

[387] Projection method III: spatial discretization on the staggered grid

[388] Finite Difference Schemes for Incompressible Flow Based on Local Pressure Boundary Conditions

[389] Fourth order convergence of a compact difference solver for incompressible flow

[390] Positivity property of second-order flux-splitting schemes for the compressible Euler equations

[391] Concepts and application of time limiters to high resolution schemes

[392] A fourth order compact scheme for incompressible Boussinesq equations

[393] Finite volume scheme for multi-dimensional drift-diffusion equations and convergence analysis

[394] Accurate Evaluation of Electrostatics for Macromolecules in Solution

[395] Gauge method for viscous incompressible flows

[396] Analysis of a fourth order finite difference method for the incompressible Boussinesq equations

[397] High order finite difference method for unsteady incompressible flow on multi-connected domain in vorticity-stream function formulation

[398] Energy and helicity preserving schemes for hydro- and magnetohydro-dynamics flows with symmetry

[399] Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term

[400] Convergence Analysis of the Energy and Helicity Preserving Scheme for Axisymmetric Flows

[401] Mach-number uniform asymptotic-preserving Gauge schemes for compressible flows

[402] A Nonlinear Diffusion Model for Image Restoration

[403] Analysis of a sequential regularization method for the unsteady Navier-Stokes equations

[404] Analysis of an asymptotic preserving scheme for the Euler-Poisson system in the quasineutral limit

[405] Long time numerical solutyion of the Navier-Stokes equations based on a sequential regularization formulation

[406] A fourth order numerical method for the primitive equations formulated in mean vorticity

[407] Error estimates for finite-element Navier-Stokes solvers without standard inf-sup conditions

[408] Analysis of an asymptotic preserving scheme for linear kinetic equations in the diffusion limit

[409] Stable and accurate pressure approximation for unsteady incompressible viscous flow

[410] An FFT based fast Poisson solver on spherical shells

[411] An All-Speed Asymptotic-Preserving Method for the Isentropic Euler and Navier-Stokes Equations

[412] Conservative Multi-Dimensional Semi-Lagrangian Finite Difference Scheme: Stability and Applications to the Kinetic and Fluid Simulations

[413] On the Vlasov-Maxwell System with a Strong Magnetic Field

[414] A Hierarchical Uniformly High Order DG-IMEX Scheme for the 1D BGK Equation

[415] Local Analysis of Local Discontinuous Galerkin Method for the Time-Dependent Singularly Perturbed Problem

[416] A generalized MAC scheme on curvilinear domains

[417] A local pressure boundary condition spectral collocation scheme for the three-dimensional Navier-Stokes equations

[418] Simple finite element numerical simulation of incompressible flow over non-rectangular domains and the super-convergence analysis

[419] Entropic sub-cell shock capturing schemes via Jin-Xin relaxation and Glimm front sampling for scalar hyperbolic conservation laws

[420] Positivity-preserving and asymptotic preserving method for 2D Keller-Segal equations

[421] Explicit and Implicit TVD Schemes for Conservation

[422] Uniform spectral convergence of the

[423] Superconvergence analysis for maxwell’s equations in dispersive media

[424] Developing finite element methods for maxwell’s equations in a cole–cole dispersive medium

[425] Mathematical Simulation of Cloaking Metamaterial Structures

[426] Optimal L2 Error Estimates for the Interior Penalty DGMethod forMaxwell’s Equations in Cold Plasma

[427] An implicit leap-frog discontinuous Galerkin method for the time-domain Maxwell’s equations in metamaterials

[428] Developing a time-domain finite-element method for modeling of electromagnetic cylindrical cloaks

[429] Superconvergence Analysis for Time-Dependent Maxwell’s Equations in Metamaterials

[430] Modeling backward wave propagation in metamaterials by the finite element time-domain method

[431] Numerical Study of the Plasma-Lorentz Model in Metamaterials

[432] An adaptive edge finite element method for electromagnetic cloaking simulation

[433] Total reflection and cloaking by zero index metamaterials loaded with rectangular dielectric defects

[434] Well-posedness study for a time-domain spherical cloaking model

[435] Mathematical analysis and time-domain finite element simulation of carpet cloak

[436] Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials

[437] Well-posedness study and finite element simulation of time-domain cylindrical and elliptical cloaks

[438] The Superconvergence Phenomenon and Proof of the MAC Scheme for the Stokes Equations on Non-uniform Rectangular Meshes

[439] Modeling and analysis of the optical black hole in metamaterials by the finite element time-domain method

[440] Superconvergence analysis of Yee scheme for metamaterial Maxwell’s equations on non-uniform rectangular meshes

[441] Effect of dust on Lyman-alpha photon transfer in optically thick halo

[442] A positivity-preserving semi-implicit discontinuous Galerkin scheme for solving extended magnetohydrodynamics equations

[443] Optimal penalty parameter for C^0 IPDG

[444] Positivity-preserving high-order local discontinuous Galerkin method for parabolic equations with blow-up solutions

[445] A combined mixed finite element method and local discontinuous Galerkin method for miscible displacement problem in porous media

[446] A new fifth order finite difference WENO scheme for solving hyperbolic conservation laws

[447] A simple finite volume weighted essentially non-oscillatory schemes on triangular meshes

[448] A new type of modified WENO schemes for solving hyperbolic conservation laws

[449] Divided difference estimates and accuracy enhancement of discontinuous Galerkin methods for nonlinear symmetric systems of hyperbolic conservation laws

[450] Discontinuous Galerkin methods for nonlinear scalar hyperbolic conservation laws: divided difference estimates and accuracy enhancement

[451] Application of generalized Gauss--Radau projections for the local discontinuous Galerkin method for linear convection-diffusion equations

[452] On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier-Stokes equations

[453] Hermite Spectral Method with Hyperbolic Cross Approximations to High-dimensional Parabolic PDEs

[454] Convex non-convex image segmentation

[455] A semiorthogonal generalized Arnoldi method and its variations for quadratic eigenvalue problems

[456] Solving Large-Scale Continuous-Time Algebraic Riccati Equations by Doubling

[457] An efficient fully-discrete local discontinuous Galerkin method for the Cahn–Hilliard–Hele–Shaw system

[458] A Conservative Local Discontinuous Galerkin Method for the Schro ̈ dinger-KdV System

[459] Fourier spectral methods for Degasperis-Procesi equation with discontinuous solutions

[460] A fully discrete stable discontinuous Galerkin method for the thin film epitaxy problem without slope selection

[461] Weighted essentially non-oscillatory schemes for Degasperis-Procesi equation with discontinuous solutions

[462] An efficient implementation of the divergence free constraint in a discontinuous Galerkin method for magnetohydrodynamics on unstructured meshes

[463] Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws: analysis and application in one dimension

[464] A nonlinear weighted least-squares finite element method for the Carreau-Yasuda non-Newtonian model

[465] An adaptively refined least-squares finite element method for generalized Newtonian fluid flows using the Carreau model

[466] Artificial Boundary Conditions and Finite Difference Approximations for

[467] Time-dependent Hermite–Galerkin spectral method and its applications

[468] Global geometrical optics approximation to the high frequency helmholtz equation with discontinuous media

[469] A robust finite difference scheme for strongly coupled systems of singularly perturbed convection-diffusion equations

[470] A mixed H1-conforming finite element method for solving Maxwell's equations with non-H1 solution

[471] Maximum-principle-satisfying space-time conservation element and solution element scheme applied to compressible multifluids

[472] Improvement on spherical symmetry in two-dimensional cylindrical coordinates for a class of control volume Lagrangian schemes

[473] Maximum-principle-satisfying and positivity-preserving high order discontinuous Galerkin schemes for conservation laws on triangular meshes

[474] High order finite difference methods with subcell resolution for advection equations with stiff source terms

[475] Superconvergence of the local discontinuous Galerkin method for linear fourth-order time-dependent problems in one space dimension

[476] Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations

[477] Optimal error estimates of the semidiscrete local discontinuous Galerkin methods for high order wave equations

[478] A minimum entropy principle of high order schemes for gas dynamics equations

[479] Positivity-preserving high order finite difference WENO schemes for compressible Euler equations

[480] Efficient implementation of high order inverse Lax-Wendroff boundary treatment for conservation laws

[481] Maximum-principle-satisfying high order finite volume weighted essentially nonoscillatory schemes for convection-diffusion equations

[482] A conservative Lagrangian scheme for solving compressible fluid flows with multiple internal energy equations

[483] WENO scheme with subcell resolution for computing nonconservative Euler equations with applications to one-dimensional compressible two-medium flows

[484] Discontinuous Galerkin methods for the multi-dimensional Vlasov-Poisson problem

[485] Superconvergence of discontinuous Galerkin method for scalar nonlinear conservation laws in one space dimension

[486] Analysis of optimal superconvergence of discontinuous Galerkin method for linear hyperbolic equations

[487] On high order accurate weighted essentially non-oscillatory and discontinuous Galerkin schemes for compressible turbulence simulations

[488] A simple weighted essentially nonoscillatory limiter for Runge-Kutta discontinuous Galerkin methods

[489] High order well-balanced WENO scheme for the gas dynamics equations under gravitational fields

[490] Improvement of convergence to steady state solutions of Euler equations with weighted compact nonlinear schemes

[491] Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection-diffusion equations on triangular meshes

[492] High resolution WENO simulation of 3D detonation waves

[493] A priori error estimates for semi-discrete discontinuous Galerkin methods solving nonlinear Hamilton-Jacobi equations with smooth solutions

[494] Discontinuous Galerkin method for hyperbolic equations involving $\delta$-singularities: negative-order norm error estimates and applications

[495] An alternative formulation of finite difference weighted ENO schemes with Lax-Wendroff time discretization for conservation laws

[496] Spurious behavior of shock-capturing methods by the fractional step approach: problems containing stiff source terms and discontinuities

[497] Positivity-preserving method for high-order conservative schemes solving compressible Euler equations

[498] Energy conserving local discontinuous Galerkin methods for wave propagation problems

[499] A new class of central compact schemes with spectral-like resolution I: Linear schemes

[500] Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes

[501] Classification and sound generation of two-dimensional interaction of two Taylor vortices

[502] A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws

[503] Angular distribution of Ly$\alpha$ resonant photons emerging from optically thick medium

[504] Discontinuous Galerkin method for Krause's consensus models and pressureless Euler equations

[505] Revisiting Jiang's dynamic continuum model for urban cities

[506] Stability analysis and a priori error estimate of explicit Runge-Kutta discontinuous Galerkin methods for correlated random walk with density-dependent turning rates

[507] Turbulence in the intergalactic medium: solenoidal and dilatational motions and the impact of numerical viscosity

[508] A brief survey on discontinuous Galerkin methods in computational fluid dynamics

[509] Free-stream preserving finite difference schemes on curvilinear meshes

[510] A discontinuous Galerkin scheme for front propagation with obstacles

[511] Error estimates for the third order explicit Runge-Kutta discontinuous Galerkin method for linear hyperbolic equation in one-dimension with discontinuous initial data

[512] Recovering exponential accuracy from collocation point values of smooth functions with end-point singularities

[513] Positivity-preserving Lagrangian scheme for multi-material compressible flow

[514] Multi-scale discontinuous Galerkin method for solving elliptic problems with curvilinear unidirectional rough coefficients

[515] Chebyshev spectral method for unsteady axisymmetric mixed convection heat transfer of power law fluid over a cylinder with variable transport properties

[516] Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media

[517] Second order symmetry-preserving conservative Lagrangian scheme for compressible Euler equations in two-dimensional cylindrical coordinates

[518] A survey of high order schemes for the shallow water equations

[519] A simple weighted essentially non-oscillatory limiter for the correction procedure via reconstruction (CPR) framework

[520] Development and stability analysis of the inverse Lax-Wendroff boundary treatment for central compact schemes

[521] High order finite difference methods with subcell resolution for stiff multispecies detonation capturing

[522] Stability and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for advection-diffusion problems

[523] A simple weighted essentially non-oscillatory limiter for the correction procedure via reconstruction (CPR) framework on unstructured meshes

[524] A new class of central compact schemes with spectral-like resolution II: Hybrid weighted nonlinear schemes

[525] A priori error estimates to smooth solutions of the third order Runge-Kutta discontinuous Galerkin method for symmetrizable systems of conservation laws

[526] Numerical solution of the viscous surface wave with discontinuous Galerkin method

[527] High order finite difference WENO schemes with positivity-preserving limiter for correlated random walk with density-dependent turning rates

[528] Analysis of sharp superconvergence of local discontinuous Galerkin method for one-dimensional linear parabolic equations

[529] Recovering exponential accuracy in Fourier spectral methods involving piecewise smooth functions with unbounded derivative singularities

[530] Superconvergence of discontinuous Galerkin methods for 2-D hyperbolic equations

[531] Parallel adaptive mesh refinement method based on WENO finite difference scheme for the simulation of multi-dimensional detonation

[532] Reformulating the Hoogendoorn-Bovy predictive dynamic user-optimal model in continuum space with anisotropic condition

[533] Optimal error estimates for discontinuous Galerkin methods based on upwind-biased fluxes for linear hyperbolic equations

[534] Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for nonlinear convection-diffusion problems

[535] A new multiscale discontinuous Galerkin method for the one-dimensional stationary Schr\"{o}dinger equation

[536] Convergence of discontinuous Galerkin schemes for front propagation with obstacles

[537] Analysis of the local discontinuous Galerkin method for the drift-diffusion model of semiconductor devices

[538] Runge-Kutta discontinuous Galerkin method with a simple and compact Hermite WENO limiter

[539] Local discontinuous Galerkin methods with implicit-explicit time-marching for multi-dimensional convection-diffusion problems

[540] Stability analysis of the inverse Lax-Wendroff boundary treatment for high order upwind-biased finite difference schemes

[541] High order fixed-point sweeping WENO methods for steady state of hyperbolic conservation laws and its convergence study

[542] Bound-preserving discontinuous Galerkin methods for relativistic hydrodynamics

[543] Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: From first-order to high-orders. Part I: The one-dimensional case

[544] Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: From first-order to high-orders. Part II: The two-dimensional case

[545] High order WENO and DG methods for time-dependent convection-dominated PDEs: a brief survey of several recent developments

[546] Inverse Lax-Wendroff procedure for numerical boundary conditions of convection-diffusion equations

[547] Stability analysis and error estimates of Lax-Wendroff discontinuous Galerkin methods for linear conservation laws

[548] A high order stable conservative method for solving hyperbolic conservation laws on arbitrarily distributed point clouds

[549] High order positivity-preserving discontinuous Galerkin methods for radiative transfer equations

[550] Stability analysis of the inverse Lax-Wendroff boundary treatment for high order central difference schemes for diffusion equations

[551] Three-dimensional high order large-scale numerical investigation on the air explosion

[552] Error estimates to smooth solutions of semi-discrete discontinuous Galerkin methods with quadrature rules for scalar conservation laws

[553] Runge-Kutta discontinuous Galerkin method with a simple and compact Hermite WENO limiter on unstructured meshes

[554] An efficient class of WENO schemes with adaptive order

[555] H(div) conforming and DG methods for incompressible Euler's equations

[556] A Newton-Type Method with Non-equivalence Deflation for Nonlinear Eigenvalue Problems Arising in Photonic Crystal Modeling

[557] Eigendecomposition of the Discrete Double-Curl Operator with Application to Fast Eigensolver for Three Dimensional Photonic Crystals

[558] Singular Value Decompositions for Single-Curl Operators in Three-Dimensional Maxwell's Equations for Complex Media

[559] Entropy satisfying schemes for computing selection dynamics in competitive interactions

[560] Complete Solution to Seven-point Schemes of Discrete Anisotropic Laplacian on Regular Hexagons

[561] A structure-preserving curve for symplectic pairs and its applications

[562] Structure-preserving flows of symplectic matrix pairs

[563] On a class of nonlinear matrix equations $X\pm A^{\small H}f(X)^{-1}A=Q$

[564] $AB$-algorithm and its application for solving matrix square roots

[565] Harmonic Extension on Point Cloud

[566] Weighted Nonlocal Laplacian on Interpolation from Sparse Data

[567] Low dimensional manifold model with semi-local patches

[568] Introduction to LAPACK

[569] Structured orthogonal inversion of block p-cyclic matrices on multicores with GPU accelerators

[570] Minimization principles and computation for the generalized linear response eigenvalue problem

[571] A Pade approximate linearization algorithm for solving the quadratic eigenvalue problem with low-rank damping

[572] Automated backward error analysis for numerical code

[573] Stability analysis of two-level orthogonal Arnoldi procedure

[574] Linear response eigenvalue problem solved by extended locally optimal preconditioned conjugate gradient methods

[575] A nonlinear QR algorithm for banded nonlinear eigenvalue problems

[576] Convergence analysis of a locally accelerated preconditioned steepest descent method for Hermitian-definite generalized eigenvalue problems

[577] A Structure-preserving Algorithm for Semi-Stabilizing Solutions of Generalized Algebraic Riccati Equations

[578] On Spectral Analysis and A Novel Algorithm for Transmission Eigenvalue Problems

[579] Solving Large-Scale Nonsymmetric Algebraic Riccati Equations by Doubling