[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