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

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

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

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

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

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

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

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

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

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

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

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

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

[14] Low Dimensional Manifold Model for Image Processing

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

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

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

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

[19] Automated backward error analysis for numerical code

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

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

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

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

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

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

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

[27] Weighted Nonlocal Laplacian on Interpolation from Sparse Data

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

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

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

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

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

[33] Kurdyka- Lojasiewicz exponent via inf-projection

[34] On Generalizing Trace Minimization Principles

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

[36] Towards Ultrahigh Dimensional Feature Selection for Big Data

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

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

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

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

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

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

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

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

[45] Low Dimensional Manifold Model in Hyperspectral Image Reconstruction

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

[47] Coordinate-friendly structures, algorithms and applications

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

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

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

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

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

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

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

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

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

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

[58] Maximizing Sum of Coupled Traces with Applications

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[75] Mathematical Simulation of Cloaking Metamaterial Structures

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

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

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

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

[80] Deep multiscale model learning

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

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

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

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

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

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

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

[88] Convex non-convex image segmentation

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[106] Mixed generalized multiscale finite element methods and applications

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

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

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

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

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

[112] A robust reconstruction for unstructured WENO schemes

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

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

[115] A generalized MAC scheme on curvilinear domains

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

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

[118] Parareal multiscale methods for highly oscillatory dynamical systems

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

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

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

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

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

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

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

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

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

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

[129] Harmonic Extension on Point Cloud

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

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

[132] Staggered discontinuous Galerkin approximation for immersed boundary method

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

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

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

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

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

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

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

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

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

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

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

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

[145] Structure-preserving flows of symplectic matrix pairs

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

[147] Artificial Boundary Conditions and Finite Difference Approximations for

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

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

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

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

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

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

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

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

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

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

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

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

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

[161] Accurate Evaluation of Electrostatics for Macromolecules in Solution

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

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

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

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

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

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

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

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

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

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

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

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

[174] A Nonlocal Stokes system with volume constraints

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

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

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

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

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

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

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

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

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

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

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

[186] Heat source identification based on l1 constrained minimization

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[206] Explicit and Implicit TVD Schemes for Conservation

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

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

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

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

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

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

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

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

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

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

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

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

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

[220] Nonlinear and linear elastic impact theory

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