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

[2] On Generalizing Trace Minimization Principles

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[31] Low Dimensional Manifold Model for Image Processing

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

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

[34] Kurdyka- Lojasiewicz exponent via inf-projection

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

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

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

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

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

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

[41] Automated backward error analysis for numerical code

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

[43] Weighted Nonlocal Laplacian on Interpolation from Sparse Data

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

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

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

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

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

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

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

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

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

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

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

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

[56] Maximizing Sum of Coupled Traces with Applications

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

[58] Coordinate-friendly structures, algorithms and applications

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

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

[61] Low Dimensional Manifold Model in Hyperspectral Image Reconstruction

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[78] Deep multiscale model learning

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[94] Staggered discontinuous Galerkin approximation for immersed boundary method

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

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

[97] Harmonic Extension on Point Cloud

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

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

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

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

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

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

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

[105] Mathematical Simulation of Cloaking Metamaterial Structures

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

[107] A generalized MAC scheme on curvilinear domains

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

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

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

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

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

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

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

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

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

[117] Mixed generalized multiscale finite element methods and applications

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[132] A robust reconstruction for unstructured WENO schemes

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

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

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

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

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

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

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

[140] Convex non-convex image segmentation

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

[142] Artificial Boundary Conditions and Finite Difference Approximations for

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

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

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

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

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

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

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

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

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

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

[153] Parareal multiscale methods for highly oscillatory dynamical systems

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

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

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

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

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

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

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

[161] Optimal mass transport for shape matching and comparison

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[176] A Nonlocal Stokes system with volume constraints

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[191] Nonlinear and linear elastic impact theory

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[221] Structure-preserving flows of symplectic matrix pairs

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[247] Accurate Evaluation of Electrostatics for Macromolecules in Solution

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[264] A four-dimensional Neumann ovaloid

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[279] Explicit and Implicit TVD Schemes for Conservation

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

[281] GPS trajectory data segmentation based on probabilistic logic

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

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

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

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

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

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

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

[289] Uniform spectral convergence of the

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

[291] Heat source identification based on l1 constrained minimization

[292] Gauge method for viscous incompressible flows

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

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

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

[296] Data-Driven Time-Frequency Analysis

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

[298] Convergence of Laplacian Spectra from Random Samples

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[319] Variational Method on Discrete Ricci Flow.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[355] A Harmonic Extension Approach for Collaborative Ranking

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

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

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

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

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

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

[362] Unnormalized optimal transport

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

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

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

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

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

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

[369] Gauge finite element method for incompressible flows

[370] Coupling of multiscale and multi-continuum approaches

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[399] Sparse Gaussian processes for solving nonlinear PDEs

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

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

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

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

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

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

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

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

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

[409] Deep global model reduction learning

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[433] Surface segmentation using global conformal structure

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[451] An Adaptive Fast Gauss Transform in Two Dimensions

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[468] Whole Brain Susceptibility Mapping Using Harmonic Incompatibility Removal

[469] Convergence of gauge method for incompressible flow

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

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

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

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

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

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

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

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

[478] Projection method II: Godunov-Ryabenki analysis

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

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

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

[482] Optimal penalty parameter for C^0 IPDG

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[510] An adaptive SDG method for the Stokes system

[511] Bregman Iterative Model Using the G-norm

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

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

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

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

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

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

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

[519] Computational multiscale methods for linear heterogeneous poroelasticity

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

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

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

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

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

[525] Discrete Ricci flow for geometric routing

[526] A Nonlinear Diffusion Model for Image Restoration

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

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

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

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

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

[532] Adaptive mixed GMsFEM for flows in heterogeneous media

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

[534] Sparse Time Frequency Representations and Dynamical Systems

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

[536] Greedy routing with guaranteed delivery using ricci flows

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

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

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

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

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

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

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

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

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

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

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

[548] An orthogonal discrete auditory transform

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

[550] Introduction to LAPACK

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

[552] Essential compact scheme for unsteady viscous incompressible flows

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

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

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

[556] Area-preservation mapping using optimal mass transport

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[578] Geometric registration based on distortion estimation