Journal of Scientific Computing

Article	Citations
Scientific Machine Learning Through Physics–Informed Neural Networks: Where we are and What’s Next	303
A Comprehensive Deep Learning-Based Approach to Reduced Order Modeling of Nonlinear Time-Dependent Parametrized PDEs	103
Time-Fractional Allen–Cahn Equations: Analysis and Numerical Methods	49
A Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Square Phase Field Crystal Equation	48
The High Order Augmented Finite Volume Methods Based on Series Expansion for Nonlinear Degenerate Parabolic Equations	46
Linearly Implicit and High-Order Energy-Conserving Schemes for Nonlinear Wave Equations	37
Solving the Kolmogorov PDE by Means of Deep Learning	37
Unconditional Stability and Optimal Error Estimates of Euler Implicit/Explicit-SAV Scheme for the Navier–Stokes Equations	37
Mathematical Analysis and the Local Discontinuous Galerkin Method for Caputo–Hadamard Fractional Partial Differential Equation	36
Energy Stable Numerical Schemes for Ternary Cahn-Hilliard System	35
A Preconditioning Technique for an All-at-once System from Volterra Subdiffusion Equations with Graded Time Steps	32
Nonuniform Alikhanov Linearized Galerkin Finite Element Methods for Nonlinear Time-Fractional Parabolic Equations	31
Numerical Solution of the Parametric Diffusion Equation by Deep Neural Networks	31
Generalised Latent Assimilation in Heterogeneous Reduced Spaces with Machine Learning Surrogate Models	30
Inertial-Type Algorithm for Solving Split Common Fixed Point Problems in Banach Spaces	30
On High Order ADER Discontinuous Galerkin Schemes for First Order Hyperbolic Reformulations of Nonlinear Dispersive Systems	29
Subgradient Extragradient Method with Double Inertial Steps for Variational Inequalities	29
Strong Convergence of Self-adaptive Inertial Algorithms for Solving Split Variational Inclusion Problems with Applications	28
Analysis of the SBP-SAT Stabilization for Finite Element Methods Part I: Linear Problems	28
Optimal Order of Uniform Convergence for Finite Element Method on Bakhvalov-Type Meshes	27
An H2N2 Interpolation for Caputo Derivative with Order in (1, 2) and Its Application to Time-Fractional Wave Equations in More Than One Space Dimension	26
An Energy Stable Finite Element Scheme for the Three-Component Cahn–Hilliard-Type Model for Macromolecular Microsphere Composite Hydrogels	26
Finite Element Methods Based on Two Families of Second-Order Numerical Formulas for the Fractional Cable Model with Smooth Solutions	25
On Thermodynamically Compatible Finite Volume Methods and Path-Conservative ADER Discontinuous Galerkin Schemes for Turbulent Shallow Water Flows	25
Exponential Runge–Kutta Method for Two-Dimensional Nonlinear Fractional Complex Ginzburg–Landau Equations	24

A Preconditioning Technique for All-at-Once System from the Nonlinear Tempered Fractional Diffusion Equation	23
Convergence of Relaxed Inertial Subgradient Extragradient Methods for Quasimonotone Variational Inequality Problems	22
An Optimal Transport Approach for the Schrödinger Bridge Problem and Convergence of Sinkhorn Algorithm	22
Numerical solution and bifurcation analysis of nonlinear partial differential equations with extreme learning machines	22
IDENT: Identifying Differential Equations with Numerical Time Evolution	22
Relaxed Forward–Backward Splitting Methods for Solving Variational Inclusions and Applications	20
Relaxation Runge–Kutta Methods for Hamiltonian Problems	20
A General Non-hydrostatic Hyperbolic Formulation for Boussinesq Dispersive Shallow Flows and Its Numerical Approximation	20
Algorithms for Nonnegative Matrix Factorization with the Kullback–Leibler Divergence	19
Optimal Strong Convergence of Finite Element Methods for One-Dimensional Stochastic Elliptic Equations with Fractional Noise	19
The Nonconforming Virtual Element Method for a Stationary Stokes Hemivariational Inequality with Slip Boundary Condition	19
Spatially-Adaptive Variational Reconstructions for Linear Inverse Electrical Impedance Tomography	18
CWENO Finite-Volume Interface Capturing Schemes for Multicomponent Flows Using Unstructured Meshes	18
A Symmetric Fractional-order Reduction Method for Direct Nonuniform Approximations of Semilinear Diffusion-wave Equations	18
Adaptive Radial Basis Function Partition of Unity Interpolation: A Bivariate Algorithm for Unstructured Data	18
Nonlinear Transform Induced Tensor Nuclear Norm for Tensor Completion	17
The Quasi-reversibility Method to Numerically Solve an Inverse Source Problem for Hyperbolic Equations	17
The Unified Theory of Shifted Convolution Quadrature for Fractional Calculus	17
High-Order Linearly Implicit Structure-Preserving Exponential Integrators for the Nonlinear Schrödinger Equation	17
Penalty-Free Any-Order Weak Galerkin FEMs for Elliptic Problems on Quadrilateral Meshes	17
Nonconvex Optimization for Robust Tensor Completion from Grossly Sparse Observations	16
High Order Finite Difference Multi-resolution WENO Method for Nonlinear Degenerate Parabolic Equations	16
Arbitrarily High-Order Maximum Bound Preserving Schemes with Cut-off Postprocessing for Allen–Cahn Equations	16
Optimal Petrov–Galerkin Spectral Approximation Method for the Fractional Diffusion, Advection, Reaction Equation on a Bounded Interval	16
Cauchy Noise Removal by Weighted Nuclear Norm Minimization	16
Efficient, Positive, and Energy Stable Schemes for Multi-D Poisson–Nernst–Planck Systems	16
Improved Architectures and Training Algorithms for Deep Operator Networks	16
A High-Order and Unconditionally Energy Stable Scheme for the Conservative Allen–Cahn Equation with a Nonlocal Lagrange Multiplier	15
Numerical Approximation of the Two-Component PFC Models for Binary Colloidal Crystals: Efficient, Decoupled, and Second-Order Unconditionally Energy Stable Schemes	15
A Linearly Implicit Structure-Preserving Scheme for the Camassa–Holm Equation Based on Multiple Scalar Auxiliary Variables Approach	15
An Efficient Spline Collocation Method for a Nonlinear Fourth-Order Reaction Subdiffusion Equation	15
A Novel Scheme to Capture the Initial Dramatic Evolutions of Nonlinear Subdiffusion Equations	15
A Uniformly Convergent Weak Galerkin Finite Element Method on Shishkin Mesh for 1d Convection–Diffusion Problem	15
Stabilized Exponential-SAV Schemes Preserving Energy Dissipation Law and Maximum Bound Principle for The Allen–Cahn Type Equations	15
Rank-Adaptive Tensor Methods for High-Dimensional Nonlinear PDEs	15
A Quasi-Conservative Discontinuous Galerkin Method for Solving Five Equation Model of Compressible Two-Medium Flows	15
Two Descent Dai-Yuan Conjugate Gradient Methods for Systems of Monotone Nonlinear Equations	14
Accelerating the Convergence of the Moment Method for the Boltzmann Equation Using Filters	14
Convergence Analysis of Hybrid High-Order Methods for the Wave Equation	14
Unconditionally Maximum Bound Principle Preserving Linear Schemes for the Conservative Allen–Cahn Equation with Nonlocal Constraint	14
Fifth-Order Hermite Targeted Essentially Non-oscillatory Schemes for Hyperbolic Conservation Laws	14
Convergence and Stability in Maximum Norms of Linearized Fourth-Order Conservative Compact Scheme for Benjamin–Bona–Mahony–Burgers’ Equation	14
Acceleration of Primal–Dual Methods by Preconditioning and Simple Subproblem Procedures	14
A Modified Fifth Order Finite Difference Hermite WENO Scheme for Hyperbolic Conservation Laws	13
Nanofluid Heat Transfer in Wavy-Wall Channels with Different Geometries: A Finite-Volume Lattice Boltzmann Study	13
Stability and Error Estimate of the Operator Splitting Method for the Phase Field Crystal Equation	13
A Sharp $$\alpha $$-Robust $$L^\infty (H^1)$$ Error Bound for a Time-Fractional Allen-Cahn Problem Discretised by the Alikhanov $$L2-1_\sigma $$ Scheme and a Standard FEM	13
A Posteriori Subcell Finite Volume Limiter for General $$P_NP_M$$ Schemes: Applications from Gasdynamics to Relativistic Magnetohydrodynamics	13
Coupled Iterative Analysis for Stationary Inductionless Magnetohydrodynamic System Based on Charge-Conservative Finite Element Method	13
Entropy Stable Discontinuous Galerkin Schemes on Moving Meshes for Hyperbolic Conservation Laws	13

$$\beta $$-Robust Superconvergent Analysis of a Finite Element Method for the Distributed Order Time-Fractional Diffusion Equation	13
Exact and Numerical Solutions of the Riemann Problem for a Conservative Model of Compressible Two-Phase Flows	13
The Role of Boundary Conditions on Convergence Properties of Peridynamic Model for Transient Heat Transfer	13
A Virtual Element Method for the Steklov Eigenvalue Problem Allowing Small Edges	13
A Fully-Mixed Formulation for the Steady Double-Diffusive Convection System Based upon Brinkman–Forchheimer Equations	13
Strong Convergence of Forward–Reflected–Backward Splitting Methods for Solving Monotone Inclusions with Applications to Image Restoration and Optimal Control	12
Mixed Finite Element Method for a Hemivariational Inequality of Stationary Navier–Stokes Equations	12
Finite Difference/Finite Element Method for Tempered Time Fractional Advection–Dispersion Equation with Fast Evaluation of Caputo Derivative	12
A Limited-Memory Riemannian Symmetric Rank-One Trust-Region Method with a Restart Strategy	12
Entropy Stable and Well-Balanced Discontinuous Galerkin Methods for the Nonlinear Shallow Water Equations	12
Efficient Implementation of Adaptive Order Reconstructions	12
Deep-HyROMnet: A Deep Learning-Based Operator Approximation for Hyper-Reduction of Nonlinear Parametrized PDEs	12
A Class of New High-order Finite-Volume TENO Schemes for Hyperbolic Conservation Laws with Unstructured Meshes	12
Tensor Arnoldi–Tikhonov and GMRES-Type Methods for Ill-Posed Problems with a t-Product Structure	12
A Novel Regularization Based on the Error Function for Sparse Recovery	12
Higher Order Approximation for Stochastic Space Fractional Wave Equation Forced by an Additive Space-Time Gaussian Noise	12
POD–Galerkin Model Order Reduction for Parametrized Time Dependent Linear Quadratic Optimal Control Problems in Saddle Point Formulation	11
Numerical Bifurcation Analysis of PDEs From Lattice Boltzmann Model Simulations: a Parsimonious Machine Learning Approach	11
Element-Free Galerkin Analysis of Stokes Problems Using the Reproducing Kernel Gradient Smoothing Integration	11
A Second Order Energy Stable BDF Numerical Scheme for the Swift–Hohenberg Equation	11
A Weakly Non-hydrostatic Shallow Model for Dry Granular Flows	11
Effect of Mesh Quality on Flux Reconstruction in Multi-dimensions	11
Error Estimates for an Immersed Finite Element Method for Second Order Hyperbolic Equations in Inhomogeneous Media	11
Barrier Function Local and Global Analysis of an L1 Finite Element Method for a Multiterm Time-Fractional Initial-Boundary Value Problem	11
Collocation of Next-Generation Operators for Computing the Basic Reproduction Number of Structured Populations	11
An Efficient Randomized Algorithm for Computing the Approximate Tucker Decomposition	11
DeC and ADER: Similarities, Differences and a Unified Framework	11
Linear High-Order Energy-Preserving Schemes for the Nonlinear Schrödinger Equation with Wave Operator Using the Scalar Auxiliary Variable Approach	11
Monomial Augmentation Guidelines for RBF-FD from Accuracy Versus Computational Time Perspective	11
A Second Order Energy Dissipative Scheme for Time Fractional L$$^{2}$$ Gradient Flows using SAV Approach	11
On a New Spatial Discretization for a Regularized 3D Compressible Isothermal Navier–Stokes–Cahn–Hilliard System of Equations with Boundary Conditions	11
A Low Cost Semi-implicit Low-Mach Relaxation Scheme for the Full Euler Equations	10
Strong Stability Preserving Second Derivative General Linear Methods with Runge–Kutta Stability	10
A New Discontinuous Galerkin Method for Elastic Waves with Physically Motivated Numerical Fluxes	10
Generalized Bernoulli Polynomials: Solving Nonlinear 2D Fractional Optimal Control Problems	10
Superconvergence Analysis of the Runge–Kutta Discontinuous Galerkin Methods for a Linear Hyperbolic Equation	10
An Edge Detector Based on Artificial Neural Network with Application to Hybrid Compact-WENO Finite Difference Scheme	10
Learning Nonlinear Electrical Impedance Tomography	10
A Quasi-Conservative Discontinuous Galerkin Method for Multi-component Flows Using the Non-oscillatory Kinetic Flux	10
A Fixed Point Iterative Method for Tensor Complementarity Problems	10
Orthogonal Dual Graph-Regularized Nonnegative Matrix Factorization for Co-Clustering	10
Non-linear Manifold Reduced-Order Models with Convolutional Autoencoders and Reduced Over-Collocation Method	10
On the Asymptotic Linear Convergence Speed of Anderson Acceleration Applied to ADMM	10
A Dimensional Splitting Exponential Time Differencing Scheme for Multidimensional Fractional Allen-Cahn Equations	10
A Posteriori Error Estimates for the Virtual Element Method for the Stokes Problem	10
Implicit Multirate GARK Methods	10
Comparison of ROW, ESDIRK, and BDF2 for Unsteady Flows with the High-Order Flux Reconstruction Formulation	10
Mesh-Robustness of an Energy Stable BDF2 Scheme with Variable Steps for the Cahn–Hilliard Model	10
On a Reconstruction of a Solely Time-Dependent Source in a Time-Fractional Diffusion Equation with Non-smooth Solutions	10
Constrained High-Index Saddle Dynamics for the Solution Landscape with Equality Constraints	10
High Order Compact Block-Centered Finite Difference Schemes for Elliptic and Parabolic Problems	10
Accurate Computations with Collocation and Wronskian Matrices of Jacobi Polynomials	10
Error Analysis of a New Fractional-Step Method for the Incompressible Navier–Stokes Equations with Variable Density	9
Mathematics and Numerics for Balance Partial Differential-Algebraic Equations (PDAEs)	9
Multi-Dimensional Image Recovery via Fully-Connected Tensor Network Decomposition Under the Learnable Transforms	9
The Active Flux Scheme for Nonlinear Problems	9
A Reduced Order Model Approach to Inverse Scattering in Lossy Layered Media	9
The Gradient Descent Method for the Convexification to Solve Boundary Value Problems of Quasi-Linear PDEs and a Coefficient Inverse Problem	9
A Class of Lagrangian–Eulerian Shock-Capturing Schemes for First-Order Hyperbolic Problems with Forcing Terms	9
Variational Framework for Structure-Preserving Electromagnetic Particle-in-Cell Methods	9
Convergence and Supercloseness in a Balanced Norm of Finite Element Methods on Bakhvalov-Type Meshes for Reaction-Diffusion Problems	9
Optimal Energy Conserving and Energy Dissipative Local Discontinuous Galerkin Methods for the Benjamin–Bona–Mahony Equation	9
Robust Grey Wolf Optimizer for Multimodal Optimizations: A Cross-Dimensional Coordination Approach	9
Positivity-Preserving Well-Balanced Arbitrary Lagrangian–Eulerian Discontinuous Galerkin Methods for the Shallow Water Equations	9
Variational Physics Informed Neural Networks: the Role of Quadratures and Test Functions	9
Deferred Correction Methods for Ordinary Differential Equations	9
Cut-Off Error Splitting Technique for Conservative Nonconforming VEM for N-Coupled Nonlinear Schrödinger–Boussinesq Equations	9
An Efficient Algorithm for Computing the Approximate t-URV and its Applications	9
A Parareal Finite Volume Method for Variable-Order Time-Fractional Diffusion Equations	9
On Two-Level Oseen Penalty Iteration Methods for the 2D/3D Stationary Incompressible Magnetohydronamics	9
Non-Intrusive Reduced-Order Modeling of Parameterized Electromagnetic Scattering Problems using Cubic Spline Interpolation	9
Well-Balancing via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts	9
A C0 Interior Penalty Finite Element Method for Flexoelectricity	9
Numerical Analysis of Two Galerkin Discretizations with Graded Temporal Grids for Fractional Evolution Equations	9
Unconditionally Energy-Stable Finite Element Scheme for the Chemotaxis-Fluid System	9
Regularization Technique for an Inverse Space-Fractional Backward Heat Conduction Problem	9
A Posteriori Error Estimates of Spectral Approximations for Second Order Partial Differential Equations in Spherical Geometries	9
A Global-in-time Domain Decomposition Method for the Coupled Nonlinear Stokes and Darcy Flows	9
Eulerian Model for Simulating Multi-Fluid Flows with an Arbitrary Number of Immiscible Compressible Components	9
Accelerated Information Gradient Flow	9

Structure-Preserving Numerical Approximations to a Non-isothermal Hydrodynamic Model of Binary Fluid Flows	9
Tensor Completion via Fully-Connected Tensor Network Decomposition with Regularized Factors	9
An Efficient Numerical Algorithm for Solving Data Driven Feedback Control Problems	9
Weak Convergence Rates for an Explicit Full-Discretization of Stochastic Allen–Cahn Equation with Additive Noise	9
A MAC Scheme for Coupled Stokes–Darcy Equations on Non-uniform Grids	8
A Fast Algorithm for the Variable-Order Spatial Fractional Advection-Diffusion Equation	8
Variable Smoothing for Convex Optimization Problems Using Stochastic Gradients	8
Matrix Equation Techniques for Certain Evolutionary Partial Differential Equations	8
A Posteriori Error Analysis for Variable-Coefficient Multiterm Time-Fractional Subdiffusion Equations	8
A New Sixth-Order Finite Difference WENO Scheme for Fractional Differential Equations	8
A Total Fractional-Order Variation Model for Image Super-Resolution and Its SAV Algorithm	8
Accurate Eigenvalues of Some Generalized Sign Regular Matrices via Relatively Robust Representations	8
A New Class of A Stable Summation by Parts Time Integration Schemes with Strong Initial Conditions	8
A New Discontinuity Indicator for Hybrid WENO Schemes	8
Spectral Properties of High-Order Element Types for Implicit Large Eddy Simulation	8
Stochastic Gradient Descent with Polyak’s Learning Rate	8
A Fully Discrete Mixed Finite Element Method for the Stochastic Cahn–Hilliard Equation with Gradient-Type Multiplicative Noise	8
Data-Driven Reduced Order Modelling for Patient-Specific Hemodynamics of Coronary Artery Bypass Grafts with Physical and Geometrical Parameters	8
A Hybrid Finite Difference WENO-ZQ Fast Sweeping Method for Static Hamilton–Jacobi Equations	8
Group Sparse Representation for Restoring Blurred Images with Cauchy Noise	8
Fully Discrete Discontinuous Galerkin Numerical Scheme with Second-Order Temporal Accuracy for the Hydrodynamically Coupled Lipid Vesicle Model	8
A High-Order Well-Balanced Positivity-Preserving Moving Mesh DG Method for the Shallow Water Equations With Non-Flat Bottom Topography	8
A High Order Compact FD Framework for Elliptic BVPs Involving Singular Sources, Interfaces, and Irregular Domains	8
A Posteriori Error Estimates of Virtual Element Method for a Simplified Friction Problem	8
A Deuflhard-Type Exponential Integrator Fourier Pseudo-Spectral Method for the “Good” Boussinesq Equation	8
Hybrid High-Order Methods for the Elliptic Obstacle Problem	8
Correction of High-Order BDF Convolution Quadrature for Fractional Feynman–Kac Equation with Lévy Flight	8
Entropy-Stable Multidimensional Summation-by-Parts Discretizations on hp-Adaptive Curvilinear Grids for Hyperbolic Conservation Laws	7
Robust Low Transformed Multi-Rank Tensor Methods for Image Alignment	7
A Golden Ratio Primal–Dual Algorithm for Structured Convex Optimization	7
Maximum Principle Preserving Schemes for Binary Systems with Long-Range Interactions	7
Superconvergence Error Estimate of a Finite Element Method on Nonuniform Time Meshes for Reaction–Subdiffusion Equations	7
Meshless Symplectic and Multi-symplectic Local RBF Collocation Methods for Hamiltonian PDEs	7
On the Stochastic Magnus Expansion and Its Application to SPDEs	7
Optimal Error Estimates of Coupled and Divergence-Free Virtual Element Methods for the Poisson–Nernst–Planck/Navier–Stokes Equations and Applications in Electrochemical Systems	7
Bound-preserving Flux Limiting for High-Order Explicit Runge–Kutta Time Discretizations of Hyperbolic Conservation Laws	7
Stability Analysis of Polytopic Discontinuous Galerkin Approximations of the Stokes Problem with Applications to Fluid–Structure Interaction Problems	7
A Multigrid Multilevel Monte Carlo Method for Stokes–Darcy Model with Random Hydraulic Conductivity and Beavers–Joseph Condition	7
Error Analysis of a Decoupled, Linear Stabilization Scheme for the Cahn–Hilliard Model of Two-Phase Incompressible Flows	7
A Convergent Post-processed Discontinuous Galerkin Method for Incompressible Flow with Variable Density	7
Free-Boundary Conformal Parameterization of Point Clouds	7
A Computational Comparison Between Isogeometric Analysis and Spectral Element Methods: Accuracy and Spectral Properties	7
An Efficient Low-Dissipation High-Order TENO Scheme for MHD Flows	7
A Robust High Order Alternative WENO Scheme for the Five-Equation Model	7
Variance-Based Subgradient Extragradient Method for Stochastic Variational Inequality Problems	7
Adaptive HDG Methods for the Steady-State Incompressible Navier–Stokes Equations	7
A Characteristic-Featured Shock Wave Indicator for Conservation Laws Based on Training an Artificial Neuron	7
On Developing Piecewise Rational Mapping with Fine Regulation Capability for WENO Schemes	7
Operator Inference of Non-Markovian Terms for Learning Reduced Models from Partially Observed State Trajectories	7
A Fully Divergence-Free Finite Element Scheme for Stationary Inductionless Magnetohydrodynamic Equations	7
Virtual Element Method for Solving an Inhomogeneous Brusselator Model With and Without Cross-Diffusion in Pattern Formation	7
Stochastic Variance Reduced Gradient Methods Using a Trust-Region-Like Scheme	7
Stabilizing Radial Basis Function Methods for Conservation Laws Using Weakly Enforced Boundary Conditions	7
Multiscale Simulation for the System of Radiation Hydrodynamics	7
Galerkin Boundary Element Methods for High-Frequency Multiple-Scattering Problems	7
Unconditional Energy Dissipation and Error Estimates of the SAV Fourier Spectral Method for Nonlinear Fractional Generalized Wave Equation	7
Higher Order Time Stepping Methods for Subdiffusion Problems Based on Weighted and Shifted Grünwald–Letnikov Formulae with Nonsmooth Data	7
Bifidelity Data-Assisted Neural Networks in Nonintrusive Reduced-Order Modeling	7
Uniform Stability and Convergence with Respect to $$(\nu , \mu , s, 1-\sigma )$$ of the Three Iterative Finite Element Solutions for the 3D Steady MHD Equations	7
Efficient Structure Preserving Schemes for the Klein–Gordon–Schrödinger Equations	7
A Well-Balanced and Positivity-Preserving Numerical Model for Shallow Water Flows in Channels with Wet–Dry Fronts	7
The Fine Error Estimation of Collocation Methods on Uniform Meshes for Weakly Singular Volterra Integral Equations	7
Complexity of Proximal Augmented Lagrangian for Nonconvex Optimization with Nonlinear Equality Constraints	7
Two-Dimensional RBF-ENO Method on Unstructured Grids	6
The Nonconvex Tensor Robust Principal Component Analysis Approximation Model via the Weighted $$\ell _p$$-Norm Regularization	6
Banded Preconditioners for Riesz Space Fractional Diffusion Equations	6
A Class of Positive Semi-discrete Lagrangian–Eulerian Schemes for Multidimensional Systems of Hyperbolic Conservation Laws	6
Preconditioners with Symmetrized Techniques for Space Fractional Cahn-Hilliard Equations	6
Error Estimates of the Godunov Method for the Multidimensional Compressible Euler System	6
Finite Element Method for Fractional Parabolic Integro-Differential Equations with Smooth and Nonsmooth Initial Data	6
Numerical Approximation for Fractional Diffusion Equation Forced by a Tempered Fractional Gaussian Noise	6
An Adaptive Dynamical Low Rank Method for the Nonlinear Boltzmann Equation	6
Continuous Galerkin and Enriched Galerkin Methods with Arbitrary Order Discontinuous Trial Functions for the Elliptic and Parabolic Problems with Jump Conditions	6
An Equilibrated a Posteriori Error Estimator for Arbitrary-Order Nédélec Elements for Magnetostatic Problems	6
Efficient Spectral Methods for PDEs with Spectral Fractional Laplacian	6
Convergence Analysis of Crank–Nicolson Galerkin–Galerkin FEMs for Miscible Displacement in Porous Media	6
A Local Radial Basis Function Method for the Laplace–Beltrami Operator	6
Convergence and Error Estimates for a Finite Difference Scheme for the Multi-dimensional Compressible Navier–Stokes System	6
Efficient Conformal Parameterization of Multiply-Connected Surfaces Using Quasi-Conformal Theory	6
Second-Order and Nonuniform Time-Stepping Schemes for Time Fractional Evolution Equations with Time–Space Dependent Coefficients	6
Semi-implicit Hermite–Galerkin Spectral Method for Distributed-Order Fractional-in-Space Nonlinear Reaction–Diffusion Equations in Multidimensional Unbounded Domains	6
The Deep Learning Galerkin Method for the General Stokes Equations	6
Energy Stable Nodal Discontinuous Galerkin Methods for Nonlinear Maxwell’s Equations in Multi-dimensions	6
Solving Nonlinear Systems of Equations Via Spectral Residual Methods: Stepsize Selection and Applications	6
Efficient Color Image Segmentation via Quaternion-based $$L_1/L_2$$ Regularization	6
A Discontinuous Galerkin Method for the Coupled Stokes and Darcy Problem	6
A Linear Finite Difference Scheme for the Two-Dimensional Nonlinear Schrödinger Equation with Fractional Laplacian	6
Fast Cadzow’s Algorithm and a Gradient Variant	6
Machine Learning Moment Closure Models for the Radiative Transfer Equation III: Enforcing Hyperbolicity and Physical Characteristic Speeds	6
A p-Adaptive Discontinuous Galerkin Method with hp-Shock Capturing	6
Two L1 Schemes on Graded Meshes for Fractional Feynman-Kac Equation	6
Strong Convergence of the Modified Inertial Extragradient Method with Line-Search Process for Solving Variational Inequality Problems in Hilbert Spaces	6
Numerical Analysis of a Fast Finite Element Method for a Hidden-Memory Variable-Order Time-Fractional Diffusion Equation	6
Verifiability of the Data-Driven Variational Multiscale Reduced Order Model	6
DeepSets and Their Derivative Networks for Solving Symmetric PDEs	6