Journal of Scientific Computing

Article	Citations
Error Estimates for Approximations of Time-Fractional Biharmonic Equation with Nonsmooth Data	795
A Randomized Algorithm for Tensor Singular Value Decomposition Using an Arbitrary Number of Passes	156
Accelerated High-Index Saddle Dynamics Method for Searching High-Index Saddle Points	76
An ALE Numerical Method for the Waterline Evolution of a Floating Object with Non-linear Shallow-water Equations	66
Strong Convergence Rates for a Full Discretization of Stochastic Wave Equation with Nonlinear Damping	62
An Essential Seventh-Order Weighted Compact Adaptive Scheme for Hyperbolic Conservation Laws	52
A Compact Subcell WENO Limiting Strategy Using Immediate Neighbors for Runge-Kutta Discontinuous Galerkin Methods for Unstructured Meshes	49
Solving Non-linear Kolmogorov Equations in Large Dimensions by Using Deep Learning: A Numerical Comparison of Discretization Schemes	48
Robust Implicit Adaptive Low Rank Time-Stepping Methods for Matrix Differential Equations	45
A Novel Stochastic Interacting Particle-Field Algorithm for 3D Parabolic-Parabolic Keller-Segel Chemotaxis System	44
Numerical Solutions of Stochastic PDEs Driven by Ornstein–Uhlenbeck Noise	42
Monotonicity, Bounds and Acceleration of Block Gauss and Gauss–Radau Quadrature for Computing $$B^T \phi (A) B$$	37
Finite Difference Time Domain Methods for the Dirac Equation Coupled with the Chern–Simons Gauge Field	36
Nonstaggered Central Scheme Under Steady-State Discretization for Solving the Ripa Model	36
A Unified Arbitrary Lagrangian–Eulerian Model for Fluid–Structure Interaction Problems Involving Flows in Flexible Channels	34
Energy-Conserved Splitting Multidomain Legendre-Tau Spectral Method for Two Dimensional Maxwell’s Equations	33
On Robustly Convergent and Efficient Iterative Methods for Anisotropic Radiative Transfer	33
Stability and Functional Superconvergence of Narrow-Stencil Second-Derivative Generalized Summation-By-Parts Discretizations	33
Analysis of Spectral Volume Methods for 1D Linear Scalar Hyperbolic Equations	32
Pressure-Tight and Non-stiff Volume Penalization for Compressible Flows	32
Optimal Convergence and Long-Time conservation of Exponential Integration for Schrödinger Equations in a Normal or Highly Oscillatory Regime	32
Error Estimates of the Godunov Method for the Multidimensional Compressible Euler System	31
A Conforming Discontinuous Galerkin Finite Element Method for Linear Elasticity Interface Problems	31
RETRACTED ARTICLE: Model Order Reduction Method Based on Machine Learning for Parameterized Time-Dependent Partial Differential Equations	29
A Numerical Method for Singularly Perturbed Convection-diffusion Problems Posed on Smooth Domains	29

A Posteriori Error Control and Adaptivity for the IMEX BDF2 Method for PIDEs with Application to Options Pricing Models	28
A Posteriori Error Analysis of a Mixed Finite Element Method for the Coupled Brinkman–Forchheimer and Double-Diffusion Equations	27
A RBF-WENO Finite Difference Scheme for Non-linear Degenerate Parabolic Equations	25
Red Light Green Light Method for Solving Large Markov Chains	25
Image Multiplicative Denoising Using Adaptive Euler’s Elastica as the Regularization	24
Local Error Estimates for Runge–Kutta Discontinuous Galerkin Methods with Upwind-Biased Numerical Fluxes for a Linear Hyperbolic Equation in One-Dimension with Discontinuous Initial Data	24
Stochastic Regularized Newton Methods for Nonlinear Equations	24
High-Order Linearly Implicit Structure-Preserving Exponential Integrators for the Nonlinear Schrödinger Equation	24
A Limited-Memory Riemannian Symmetric Rank-One Trust-Region Method with a Restart Strategy	22
The Gradient Descent Method for the Convexification to Solve Boundary Value Problems of Quasi-Linear PDEs and a Coefficient Inverse Problem	22
An Oscillation-free Discontinuous Galerkin Method for Shallow Water Equations	22
Newton-Based Methods for Finding the Positive Ground State of Gross-Pitaevskii Equations	22
Accuracy-Enhancement of Discontinuous Galerkin Methods for PDEs Containing High Order Spatial Derivatives	22
Sparse Spectral-Galerkin Method on An Arbitrary Tetrahedron Using Generalized Koornwinder Polynomials	22
An Energy-based Overset Finite Element Method for Pseudo-static Structural Analysis	22
A Least-Squares Method for the Solution of the Non-smooth Prescribed Jacobian Equation	21
A Kernel-Independent Sum-of-Exponentials Method	21
Residual Type a Posteriori Error Estimates for the Time-Dependent Poisson–Nernst–Planck Equations	21
An Efficient QSC Approximation of Variable-Order Time-Fractional Mobile-Immobile Diffusion Equations with Variably Diffusive Coefficients	20
Error Analysis of an Unfitted HDG Method for a Class of Non-linear Elliptic Problems	20
Preconditioners with Symmetrized Techniques for Space Fractional Cahn-Hilliard Equations	20
Superconvergent Postprocessing of the Continuous Galerkin Time Stepping Method for Nonlinear Initial Value Problems with Application to Parabolic Problems	20
Superconvergent Pseudostress-Velocity Finite Element Methods for the Oseen Equations	20
Accurate High-Order Tensor-Product Generalized Summation-By-Parts Discretizations of Hyperbolic Conservation Laws: General Curved Domains and Functional Superconvergence	20
GRPDA Revisited: Relaxed Condition and Connection to Chambolle-Pock’s Primal-Dual Algorithm	19
Bound-preserving Flux Limiting for High-Order Explicit Runge–Kutta Time Discretizations of Hyperbolic Conservation Laws	19
An Extended Range of Stable Flux Reconstruction Schemes on Quadrilaterals for Various Polynomial Bases	19
High Order Discontinuous Cut Finite Element Methods for Linear Hyperbolic Conservation Laws with an Interface	19
Solving Elliptic PDE’s Using Polynomial Splines on Curved Triangulations	18
A Non-intrusive Solution to the Ill-Conditioning Problem of the Gradient-Enhanced Gaussian Covariance Matrix for Gaussian Processes	18
A Finite Volume Method for the 3D Lagrangian Ideal Compressible Magnetohydrodynamics	18
A Novel Spectral Approximation and Error Estimation for Transmission Eigenvalues in Spherical Domains	18
Optimal-Order Convergence of a Two-Step BDF Method for the Navier–Stokes Equations with $$H^1$$ Initial Data	18
High Order Conservative Schemes for the Generalized Benjamin–Ono Equation on the Unbounded Domain	18
A Posteriori Analysis for a Mixed FEM Discretization of the Linear Elasticity Spectral Problem	17
Uniform Bounds with Difference Quotients for Proper Orthogonal Decomposition Reduced Order Models of the Burgers Equation	17
An Efficient hp-Adaptive Strategy for a Level-Set Ghost-Fluid Method	17
Adaptive Virtual Element Method for Optimal Control Problem Governed by Stokes Equations	17
Quantifying the Structural Stability of Simplicial Homology	17
An Accelerated Smoothing Gradient Method for Nonconvex Nonsmooth Minimization in Image Processing	17
Triangularized Orthogonalization-Free Method for Solving Extreme Eigenvalue Problems	17
A Unified Primal-Dual Algorithm Framework for Inequality Constrained Problems	17
Maximum Principle Preserving Space and Time Flux Limiting for Diagonally Implicit Runge–Kutta Discretizations of Scalar Convection-diffusion Equations	16
Fast IIF–WENO Method on Non-uniform Meshes for Nonlinear Space-Fractional Convection–Diffusion–Reaction Equations	16
Efficient High-Order Space-Angle-Energy Polytopic Discontinuous Galerkin Finite Element Methods for Linear Boltzmann Transport	16
On the Global Complexity of a Derivative-Free Levenberg-Marquardt Algorithm via Orthogonal Spherical Smoothing	16
Last-passage Monte Carlo Algorithm for Charge Density on a Conducting Spherical Surface	16
Optimal Balanced-Norm Error Estimate of the LDG Method for Reaction–Diffusion Problems I: The One-Dimensional Case	16
An Efficient Algorithm for Computing the Approximate t-URV and its Applications	16
A High-Order Eulerian–Lagrangian Runge–Kutta Finite Volume (EL–RK–FV) Method for Scalar Nonlinear Conservation Laws	16

Supervised Low-Rank Semi-nonnegative Matrix Factorization with Frequency Regularization for Forecasting Spatio-temporal Data	16
Anisotropic a Posteriori Error Analysis for the Two-Step Backward Differentiation Formula for Parabolic Integro-Differential Equation	16
Spectral Analysis of High Order Continuous FEM for Hyperbolic PDEs on Triangular Meshes: Influence of Approximation, Stabilization, and Time-Stepping	16
A Nonconforming Extended Virtual Element Method for Elliptic Interface Problems	15
Machine Learning Moment Closure Models for the Radiative Transfer Equation III: Enforcing Hyperbolicity and Physical Characteristic Speeds	15
Improved Efficiency of Multilevel Monte Carlo for Stochastic PDE through Strong Pairwise Coupling	15
First-Order Positivity-Preserving Entropy Stable Scheme for the 3-D Compressible Navier–Stokes Equations	15
A Penalty-Free and Essentially Stabilization-Free DG Method for Convection-Dominated Second-Order Elliptic Problems	15
Hierarchical Model Reduction Driven by Machine Learning for Parametric Advection-Diffusion-Reaction Problems in the Presence of Noisy Data	15
Heterogeneous Multiscale Methods for the Landau–Lifshitz Equation	15
Discontinuous Galerkin Methods for a First-Order Semi-Linear Hyperbolic Continuum Model of a Topological Resonator Dimer Array	14
Penalty-Free Any-Order Weak Galerkin FEMs for Linear Elasticity on Quadrilateral Meshes	14
Residual Viscosity Stabilized RBF-FD Methods for Solving Nonlinear Conservation Laws	14
A Structure-Preserving Parametric Finite Element Method for Area-Conserved Generalized Curvature Flow	14
A VMiPG Method for Composite Optimization with Nonsmooth Term Having No Closed-form Proximal Mapping	14
Very High-Order Accurate Discontinuous Galerkin Method for Curved Boundaries with Polygonal Meshes	14
SLERP-TVDRK (STVDRK) Methods for Ordinary Differential Equations on Spheres	14
Time Adaptivity in Model Predictive Control	14
The Cartesian Grid Active Flux Method with Adaptive Mesh Refinement	14
A Fast Sine Transform Accelerated High-Order Finite Difference Method for Parabolic Problems over Irregular Domains	14
Stochastic Galerkin Methods for Time-Dependent Radiative Transfer Equations with Uncertain Coefficients	13
Generalized Truncated Moment Problems with Unbounded Sets	13
Weakly Compressible Two-Layer Shallow-Water Flows Along Channels	13
A Preconditioned MINRES Method for Block Lower Triangular Toeplitz Systems	13
Universal AMG Accelerated Embedded Boundary Method Without Small Cell Stiffness	13
Operator Inference of Non-Markovian Terms for Learning Reduced Models from Partially Observed State Trajectories	12
A Flux Reconstruction Stochastic Galerkin Scheme for Hyperbolic Conservation Laws	12
On the Choice of Robin Parameters for the Optimized Schwarz Method for Domains with Non-Conforming Heterogeneities	12
Discretization of a Distributed Optimal Control Problem with a Stochastic Parabolic Equation Driven by Multiplicative Noise	12
Error Estimate of a Fully Discrete Finite Element Method for Incompressible Vector Potential Magnetohydrodynamic System	12
A Split-form, Stable CG/DG-SEM for Wave Propagation Modeled by Linear Hyperbolic Systems	12
A Dynamic Mode Decomposition Based Reduced-Order Model For Parameterized Time-Dependent Partial Differential Equations	12
Efficient Structure Preserving Schemes for the Klein–Gordon–Schrödinger Equations	12
Entropy Stable Flux Correction for Hydrostatic Reconstruction Scheme for Shallow Water Flows	12
Mortar-based Entropy-Stable Discontinuous Galerkin Methods on Non-conforming Quadrilateral and Hexahedral Meshes	12
Discrete Adjoint Computations for Relaxation Runge–Kutta Methods	12
The Exponential SAV Approach for the Time-Fractional Allen–Cahn and Cahn–Hilliard Phase-Field Models	12
Robust Flux Reconstruction and a Posteriori Error Analysis for an Elliptic Problem with Discontinuous Coefficients	12
An HDG and CG Method for the Indefinite Time-Harmonic Maxwell’s Equations Under Minimal Regularity	12
Time Step Restrictions for Strong-Stability-Preserving Multistep Runge–Kutta Discontinuous Galerkin Methods	11
Inverses of SBP-SAT Finite Difference Operators Approximating the First and Second Derivative	11
Calibration-Based ALE Model Order Reduction for Hyperbolic Problems with Self-Similar Travelling Discontinuities	11
A Linearized L1-Galerkin FEM for Non-smooth Solutions of Kirchhoff Type Quasilinear Time-Fractional Integro-Differential Equation	11
Numerical Solution of the Parametric Diffusion Equation by Deep Neural Networks	11
Numerical Analysis of the Plateau Problem by the Method of Fundamental Solutions	11
A Hybridizable Discontinuous Galerkin Method for Magnetic Advection–Diffusion Problems	11
A New Finite Element Method for Elliptic Optimal Control Problems with Pointwise State Constraints in Energy Spaces	11
A Conforming Virtual Element Method Based on Unfitted Meshes for the Elliptic Interface Problem	11
Construction and Analysis of Structure-Preserving Numerical Algorithm for Two-Dimensional Damped Nonlinear Space Fractional Schrödinger equation	11
Efficient WENO Schemes for Nonuniform Grids	11
Mesh-Informed Neural Networks for Operator Learning in Finite Element Spaces	11
Analysis of a New Accelerated Waveform Relaxation Method Based on the Time-Parallel Algorithm	11
$$hp$$-Optimal Interior Penalty Discontinuous Galerkin Methods for the Biharmonic Problem	11
A Virtual Element Method for the Steklov Eigenvalue Problem Allowing Small Edges	11
Numerical Methods for Fourth-Order PDEs on Overlapping Grids with Application to Kirchhoff–Love Plates	10
Jacobian-Free Explicit Multiderivative Runge–Kutta Methods for Hyperbolic Conservation Laws	10
A Positivity-Preserving Finite Volume Scheme with Least Square Interpolation for 3D Anisotropic Diffusion Equation	10
On the Stochastic Magnus Expansion and Its Application to SPDEs	10
CWENO Finite-Volume Interface Capturing Schemes for Multicomponent Flows Using Unstructured Meshes	10
Curvature-Dependent Elastic Bending Total Variation Model for Image Inpainting with the SAV Algorithm	10
A Quasi-Conservative Discontinuous Galerkin Method for Multi-component Flows Using the Non-oscillatory Kinetic Flux	10
Convergent Finite Difference Methods for Fully Nonlinear Elliptic Equations in Three Dimensions	10
Lie–Trotter Splitting for the Nonlinear Stochastic Manakov System	10
Structure-Preserving Algorithm and Its Error Estimate for the Relativistic Charged-Particle Dynamics Under the Strong Magnetic Field	10
An Entropy Stable Discontinuous Galerkin Method for the Two-Layer Shallow Water Equations on Curvilinear Meshes	10
High Order Structure-Preserving Finite Difference WENO Schemes for MHD Equations with Gravitation in all Sonic Mach Numbers	10
Error Estimates for First- and Second-Order Lagrange–Galerkin Moving Mesh Schemes for the One-Dimensional Convection–Diffusion Equation	10
Asymptotic-Preserving Neural Networks for Multiscale Vlasov–Poisson–Fokker–Planck System in the High-Field Regime	10
A Quasi-Conservative Alternative WENO Finite Difference Scheme for Solving Compressible Multicomponent Flows	10
A First-Order Image Restoration Model that Promotes Image Contrast Preservation	10
A Semi-implicit Stochastic Multiscale Method for Radiative Heat Transfer Problem in Composite Materials	10
A Robust and High Precision Algorithm for Elastic Scattering Problems from Cornered Domains	10
Error Estimates and Adaptivity of the Space-Time Discontinuous Galerkin Method for Solving the Richards Equation	10
Random Walks in Frequency and the Reconstruction of Obstacles with Cavities from Multi-frequency Data	10
An Efficient Hessian Based Algorithm for Singly Linearly and Box Constrained Least Squares Regression	10
An Extension of the Morley Element on General Polytopal Partitions Using Weak Galerkin Methods	9
Time-Limited Balanced Truncation for Data Assimilation Problems	9
A MOOD-MUSCL Hybrid Formulation for the Non-conservative Shallow-Water System	9
Implicit-Explicit Schemes for Compressible Cahn–Hilliard–Navier–Stokes Equations	9
The Role of Boundary Conditions on Convergence Properties of Peridynamic Model for Transient Heat Transfer	9

Projected Gradient Method Combined with Homotopy Techniques for Volume-Measure-Preserving Optimal Mass Transportation Problems	9
The Quasi-reversibility Method to Numerically Solve an Inverse Source Problem for Hyperbolic Equations	9
Anisotropic Weakly Over-Penalised Symmetric Interior Penalty Method for the Stokes Equation	9
A Modified A Posteriori Subcell Limiter for High Order Flux Reconstruction Scheme for One-Dimensional Detonation Simulation	9
Sharp Error Estimate of an Implicit BDF2 Scheme with Variable Time Steps for the Phase Field Crystal Model	9
A Second-Order SO(3)-Preserving and Energy-Stable Scheme for Orthonormal Frame Gradient Flow Model of Biaxial Nematic Liquid Crystals	9
Preasymptotic Error Analysis of the HDG Method for Helmholtz Equation with Large Wave Number	9
Enhanced Low-Rank Tensor Recovery Fusing Reweighted Tensor Correlated Total Variation Regularization for Image Denoising	9
An Unconditionally Energy Stable Method for the Anisotropic Phase-Field Crystal Model in Two Dimension	9
A Numerical Method for Solving Elliptic Equations on Real Closed Algebraic Curves and Surfaces	9
Fast Sparse Grid Simulations of Fifth Order WENO Scheme for High Dimensional Hyperbolic PDEs	9
A Second Order Accurate, Positivity Preserving Numerical Method for the Poisson–Nernst–Planck System and Its Convergence Analysis	9
Primal Hybrid Method For Quasilinear Parabolic Problems	9
Bona–Smith-Type systems in Bounded Domains with Slip-Wall Boundary Conditions: Theoretical Justification and a Conservative Numerical Scheme	9
An Efficient Randomized Algorithm for Computing the Approximate Tucker Decomposition	9
Hybridized Summation-by-Parts Finite Difference Methods	9
Implicit Gradients Based Conservative Numerical Scheme for Compressible Flows	8
Second Order Convergence of a Modified MAC Scheme for Stokes Interface Problems	8
First-Order Greedy Invariant-Domain Preserving Approximation for Hyperbolic Problems: Scalar Conservation Laws, and p-System	8
Optimal Parameters for Third Order Runge–Kutta Exponential Integrators for Convection–Diffusion Problems	8
Multi-dimensional Scaling from K-Nearest Neighbourhood Distances	8
Flux Globalization Based Well-Balanced Central-Upwind Schemes for Hydrodynamic Equations with General Free Energy	8
Quadrature Rules on Triangles and Tetrahedra for Multidimensional Summation-By-Parts Operators	8
Finite Element Discretizations for Variable-Order Fractional Diffusion Problems	8
Shear Decoupled Parallel Scalable Preconditioners for Nonlinear Thermo-Mechanical Coupled Contact Applications	8
Cauchy Noise Removal via Convergent Plug-and-Play Framework with Outliers Detection	8
Deterministic Neural Networks Optimization from a Continuous and Energy Point of View	8
Error Constants for the Semi-Discrete Galerkin Approximation of the Linear Heat Equation	8
An Adaptive Time Filter Algorithm with Different Subdomain Time Steps for Super-Hydrophobic Proppants Based on the 3D Unsteady-State Triple-Porosity Stokes Model	8
Solving High-Dimensional Partial Differential Equations Using Tensor Neural Network and A Posteriori Error Estimators	8
A Modified Convective Formulation in Navier–Stokes Simulations	8
A New Alternative WENO Scheme Based on Exponential Polynomial Interpolation with an Improved Order of Accuracy	8
On the Dynamics of the Boundary Vorticity for Incompressible Viscous Flows	8
A Unified Bregman Alternating Minimization Algorithm for Generalized DC Programs with Application to Imaging	8
Adaptive Radial Basis Function Partition of Unity Interpolation: A Bivariate Algorithm for Unstructured Data	8
Optimal Switching Time Control Constrained by Immiscible Two-Phase Porous Media Flow Based on the Discontinuous Galerkin Method	8
An Optimal Multigrid Algorithm for the Combining $$P_1$$-$$Q_1$$ Finite Element Approximations of Interface Problems Based on Local Anisotropic Fitting Meshes	8
A Modified Rotated-$$Q_1$$ Finite Element for the Stokes Equations on Quadrilateral and Hexahedral Meshes	8
Corrector-Predictor Interior-Point Method With New Search Direction for Semidefinite Optimization	8
A Family of Fast Multi-resolution ENO Schemes for Compressible Flows	8
Solving Advection–Diffusion Equation by Proper Generalized Decomposition with Coordinate Transformation	8
Riemannian Trust Region Methods for $$\hbox {SC}^1$$ Minimization	8
Heavy-Ball-Based Optimal Thresholding Algorithms for Sparse Linear Inverse Problems	8
Second-Order and Nonuniform Time-Stepping Schemes for Time Fractional Evolution Equations with Time–Space Dependent Coefficients	8
Solving the Kolmogorov PDE by Means of Deep Learning	8
A Unifying Algebraic Framework for Discontinuous Galerkin and Flux Reconstruction Methods Based on the Summation-by-Parts Property	8
Error Estimates for Adaptive Spectral Decompositions	8
Sorted $$L_1/L_2$$ Minimization for Sparse Signal Recovery	8
Enhancing Electrical Impedance Tomography Reconstruction Using Learned Half-Quadratic Splitting Networks with Anderson Acceleration	7
Local-Maximum-and-Minimum-Preserving Solution Remapping Technique to Accelerate Flow Convergence for Discontinuous Galerkin Methods in Shape Optimization Design	7
A Unified Theory of Non-overlapping Robin–Schwarz Methods: Continuous and Discrete, Including Cross Points	7
Study on $$L_1$$ over $$L_2$$ Minimization for Nonnegative Signal Recovery	7
High-Order Accurate Entropy Stable Schemes for Relativistic Hydrodynamics with General Synge-Type Equation of State	7
A Second-Order Fast Huygens Sweeping Method for Time-Dependent Schrödinger Equations with Perfectly Matched Layers	7
Numerical Solution of the Biot/Elasticity Interface Problem Using Virtual Element Methods	7
Efficient Approaches for Verifying the Existence and Bound of Inverse of Linear Operators in Hilbert Spaces	7
Unconditional Optimal Error Estimates of Linearized, Decoupled and Conservative Galerkin FEMs for the Klein–Gordon–Schrödinger Equation	7
A Single-Step Correction Scheme of Crank–Nicolson Convolution Quadrature for the Subdiffusion Equation	7
A Reduced Order Model Approach to Inverse Scattering in Lossy Layered Media	7
Discontinuous Galerkin Methods for Hemivariational Inequalities in Contact Mechanics	7
Stiffened Gas Approximation and GRP Resolution for Compressible Fluid Flows of Real Materials	7
A Spatio-temporal Optimal, Hybird Compact–WENO Scheme with Minimized Dispersion and Critical-adaptive Dissipation for Solving Compressible Flows	7
Improved Uniform Error Bounds of Exponential Wave Integrator Method for Long-Time Dynamics of the Space Fractional Klein-Gordon Equation with Weak Nonlinearity	7
A Fast Operator-splitting Method for Beltrami Color Image Denoising	7
Data-Driven Extrapolation Via Feature Augmentation Based on Variably Scaled Thin Plate Splines	7
Efficient Conformal Parameterization of Multiply-Connected Surfaces Using Quasi-Conformal Theory	7
An Analysis on the Finite Volume Schemes and the Discrete Lyapunov Inequalities for the Chemotaxis System	7
Discontinuous Galerkin Methods for Network Patterning Phase-Field Models	7
Computation of Conditional Expectations with Guarantees	7
The Nonconforming Virtual Element Method with Curved Edges	7
A Positivity-Preserving and Robust Fast Solver for Time-Fractional Convection–Diffusion Problems	7
Two L1 Schemes on Graded Meshes for Fractional Feynman-Kac Equation	7
A p-Adaptive Discontinuous Galerkin Method with hp-Shock Capturing	7
Sharp Error Bounds for a Fractional Collocation Method for Weakly Singular Volterra Integral Equations with Variable Exponent	7
A Class of New High-order Finite-Volume TENO Schemes for Hyperbolic Conservation Laws with Unstructured Meshes	7
A Nonnested Augmented Subspace Method for Elliptic Eigenvalue Problems with Curved Interfaces	7
Entropy–Preserving and Entropy–Stable Relaxation IMEX and Multirate Time–Stepping Methods	7
Improved Error Bounds of the Strang Splitting Method for the Highly Oscillatory Fractional Nonlinear Schrödinger Equation	7
A High-Order Two-Grid Difference Method for Nonlinear Time-Fractional Biharmonic Problems and Its Unconditional $$\alpha $$-Robust Error Estimates	7
A Priori Error Analysis of Linear and Nonlinear Periodic Schrödinger Equations with Analytic Potentials	7
A High-Order Maximum-Principle-Satisfying Discontinuous Galerkin Method for the Level Set Problem	7
Conforming, Nonconforming and DG Methods for the Stationary Generalized Burgers-Huxley Equation	7
A Spherical Harmonic Discontinuous Galerkin Method for Radiative Transfer Equations with Vacuum Boundary Conditions	7
An iDCA with Sieving Strategy for PDE-Constrained Optimization Problems with $$L^{1-2}$$-Control Cost	7
Multigrid Algorithm for Immersed Finite Element Discretizations of Elliptic Interface Problems	7
Second-Order Convergence of the Linearly Extrapolated Crank–Nicolson Method for the Navier–Stokes Equations with $$\mathbf{H^1}$$ Initial Data	7
A Two-Grid Spectral Deferred Correction Method for the Multi-Order Fractional Differential Equations	7
Error Estimates of Finite Difference Methods for the Biharmonic Nonlinear Schrödinger Equation	7
An hp-Version Jacobi Spectral Collocation Method for the Third-Kind VIEs	7
Topology-Preserving 3D Image Segmentation Based on Hyperelastic Regularization	6
Unconditional Energy Dissipation and Error Estimates of the SAV Fourier Spectral Method for Nonlinear Fractional Generalized Wave Equation	6
New Analysis of Mixed Finite Element Methods for Incompressible Magnetohydrodynamics	6
Convergence Analysis of Virtual Element Method for Nonlinear Nonlocal Dynamic Plate Equation	6
A Method to Solve Hamilton–Jacobi Type Equation on Unstructured Meshes	6
A Narrow Band Numerical Method for a Surface Reaction-Diffusion System Coupled with Surface Motion	6