Journal of Scientific Computing

Papers
(The median citation count of Journal of Scientific Computing is 2. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-11-01 to 2025-11-01.)
ArticleCitations
Heterogeneous Multiscale Methods for the Landau–Lifshitz Equation1415
First-Order Greedy Invariant-Domain Preserving Approximation for Hyperbolic Problems: Scalar Conservation Laws, and p-System79
Computation of Conditional Expectations with Guarantees78
Adaptive Virtual Element Method for Optimal Control Problem Governed by Stokes Equations74
An iDCA with Sieving Strategy for PDE-Constrained Optimization Problems with $$L^{1-2}$$-Control Cost62
Correction to: Just Least Squares: Binary Compressive Sampling with Low Generative Intrinsic Dimension51
Shear Decoupled Parallel Scalable Preconditioners for Nonlinear Thermo-Mechanical Coupled Contact Applications51
Calibration-Based ALE Model Order Reduction for Hyperbolic Problems with Self-Similar Travelling Discontinuities48
Convergent Finite Difference Methods for Fully Nonlinear Elliptic Equations in Three Dimensions47
Efficient Approaches for Verifying the Existence and Bound of Inverse of Linear Operators in Hilbert Spaces42
Riemannian Trust Region Methods for $$\hbox {SC}^1$$ Minimization41
A Certified Reduced-Order Framework Based on Legendre Collocation for a Rayleigh-Bénard Problem39
Randomized Greedy Algorithms for Neural Network Optimization in Solving Partial Differential Equations39
Improved Uniform Error Bounds of Exponential Wave Integrator Method for Long-Time Dynamics of the Space Fractional Klein-Gordon Equation with Weak Nonlinearity38
A Family of Fast Multi-resolution ENO Schemes for Compressible Flows37
Weak Error Analysis for Strong Approximation Schemes of SDEs with Super-Linear Coefficients II Finitely Many Bounded Moments and Higher-Order Schemes35
A Spatio-temporal Optimal, Hybird Compact–WENO Scheme with Minimized Dispersion and Critical-adaptive Dissipation for Solving Compressible Flows35
Weakly Compressible Two-Layer Shallow-Water Flows Along Channels35
Bound-preserving Flux Limiting for High-Order Explicit Runge–Kutta Time Discretizations of Hyperbolic Conservation Laws33
A Randomized Algorithm for Tensor Singular Value Decomposition Using an Arbitrary Number of Passes32
Analysis of the Picard-Newton Iteration for the Navier-Stokes Equations: Global Stability and Quadratic Convergence32
A RBF-WENO Finite Difference Scheme for Non-linear Degenerate Parabolic Equations31
High-Order Linearly Implicit Structure-Preserving Exponential Integrators for the Nonlinear Schrödinger Equation31
A Pressure-Robust a Posteriori Error Estimator of Stokes Problems for a Low Order Nonconforming Divergence-Free Method29
Energy-Stable Finite Element Approximation of the Landau–Lifshitz–Bloch Equation Below the Curie Temperature29
Efficient WENO Schemes for Nonuniform Grids28
A Structure-Preserving Parametric Finite Element Method for Area-Conserved Generalized Curvature Flow28
Bound- and Positivity-Preserving Path-Conservative Central-Upwind AWENO Scheme for the Five-Equation Model of Compressible Two-Component Flows28
Monotonicity, Bounds and Acceleration of Block Gauss and Gauss–Radau Quadrature for Computing $$B^T \phi (A) B$$27
An HDG and CG Method for the Indefinite Time-Harmonic Maxwell’s Equations Under Minimal Regularity27
Jacobian-free high-order weighted compact central schemes for hyperbolic conservation laws27
Machine Learning Moment Closure Models for the Radiative Transfer Equation III: Enforcing Hyperbolicity and Physical Characteristic Speeds27
A Hybridizable Discontinuous Galerkin Method for Magnetic Advection–Diffusion Problems26
An Unconditionally Energy Stable Method for the Anisotropic Phase-Field Crystal Model in Two Dimension26
A Fast Operator-splitting Method for Beltrami Color Image Denoising26
A Class of New High-order Finite-Volume TENO Schemes for Hyperbolic Conservation Laws with Unstructured Meshes26
CWENO Finite-Volume Interface Capturing Schemes for Multicomponent Flows Using Unstructured Meshes25
An Efficient hp-Adaptive Strategy for a Level-Set Ghost-Fluid Method25
Divergence-Conforming Velocity and Vorticity Approximations for Incompressible Fluids Obtained with Minimal Facet Coupling25
A Limited-Memory Riemannian Symmetric Rank-One Trust-Region Method with a Restart Strategy25
Convergence of Chandrashekar’s Second-Derivative Finite-Volume Approximation25
Energy-Conserved Splitting Multidomain Legendre-Tau Spectral Method for Two Dimensional Maxwell’s Equations25
A Proximal Alternating Direction Method of Multipliers for DC Programming with Structured Constraints24
Error Analysis of a Decoupled Finite Element Method for Quad-Curl Problems23
An Entropy Stable Pseudospectral Scheme for Shallow Water Equations in Skew-Symmetric Form on a Cubed Sphere23
A Reduced Half Thresholding Algorithm23
Approximating Moving Point Sources in Hyperbolic Partial Differential Equations23
$$\varphi -$$FD: A Well-conditioned Finite Difference Method Inspired by $$\varphi -$$FEM for General Geometries on Elliptic PDEs23
Smoothing Iterative Consensus-based Optimization Algorithm for Nonsmooth Nonconvex Optimization Problems with Global Optimality23
Parallel Kinetic Schemes for Conservation Laws, with Large Time Steps22
Space-Time Adaptive ADER-DG Finite Element Method with LST-DG Predictor and a posteriori Sub-cell WENO Finite-Volume Limiting for Simulation of Non-stationary Compressible Multicomponent Reactive Flow22
A Nonconvex Nonsmooth Image Prior Based on the Hyperbolic Tangent Function22
An Efficient, Memory-Saving Approach for the Loewner Framework22
Convergence Analysis of Virtual Element Method for Nonlinear Nonlocal Dynamic Plate Equation22
Numerical Simulation of Singularity Propagation Modeled by Linear Convection Equations with Spatially Heterogeneous Nonlocal Interactions21
Mittag-Leffler Stability of Complete Monotonicity-Preserving Schemes for Sub-Diffusion Equations with Time-Dependent Coefficients21
An Efficient Numerical Algorithm for the Model Describing the Competition Between Super- and Sub-diffusions Driven by Fractional Brownian Sheet Noise21
Exact and Numerical Solutions of the Riemann Problem for a Conservative Model of Compressible Two-Phase Flows20
Low Regularity Integrators for the Conservative Allen–Cahn Equation with a Nonlocal Constraint20
A Novel Discrete Fractional Grönwall-Type Inequality and Its Application in Pointwise-in-Time Error Estimates20
A Multi-domain Spectral Method with Mapping Techniques for the Fokker-Planck Equation in Irregular Domains20
A Corrected Inexact Proximal Augmented Lagrangian Method with a Relative Error Criterion for a Class of Group-Quadratic Regularized Optimal Transport Problems19
Error Analysis with Polynomial Dependence on $$\varepsilon ^{-1}$$ in SAV Methods for the Cahn-Hilliard Equation19
Numerical Estimation of the Inverse Eigenvalue Problem for a Weighted Helmholtz Equation19
The Bogner-Fox-Schmit Element Finite Volume Methods on the Shishkin Mesh for Fourth-Order Singularly Perturbed Elliptic Problems18
Guidelines for RBF-FD Discretization: Numerical Experiments on the Interplay of a Multitude of Parameter Choices18
New Analysis of Mixed Finite Element Methods for Incompressible Magnetohydrodynamics18
A Semi-discrete Active Flux Method for the Euler Equations on Cartesian Grids18
Learning Nonlinear Electrical Impedance Tomography18
Cut-Off Error Splitting Technique for Conservative Nonconforming VEM for N-Coupled Nonlinear Schrödinger–Boussinesq Equations18
Variable-Order Fractional Laplacian and its Accurate and Efficient Computations with Meshfree Methods18
Linearly Implicit Schemes Preserve the Maximum Bound Principle and Energy Dissipation for the Time-fractional Allen–Cahn Equation18
A Conservative Sharp-Interface Numerical Method for Two-dimensional Compressible Two-phase Flows18
A New Approach to Shooting Methods for Terminal Value Problems of Fractional Differential Equations17
Preconditioned Three-Operator Splitting Algorithm with Applications to Image Restoration17
An Exactly Curl-Free Staggered Semi-Implicit Finite Volume Scheme for a First Order Hyperbolic Model of Viscous Two-Phase Flows with Surface Tension17
Structure-Preserving Combined High-Order Compact Schemes for Multiple Order Spatial Derivatives Differential Equations17
Scale-Invariant Multi-resolution Alternative WENO Scheme for the Euler Equations16
HHO Methods for the Incompressible Navier-Stokes and the Incompressible Euler Equations16
Absolute-Value Based Preconditioner for Complex-Shifted Laplacian Systems16
Subgradient Extragradient Method with Double Inertial Steps for Variational Inequalities16
The Order-p Tensor Linear Complementarity Problem for Images Deblurring16
An $$\alpha $$-Robust and Second-Order Accurate Scheme for a Subdiffusion Equation15
Free-Boundary Problems for Wave–Structure Interactions in Shallow-Water: DG-ALE Description and Local Subcell Correction15
Unconditionally Energy-Stable and Locking-Free Parallel Splitting Finite Element Method for the Biot Model15
Optimal A Priori Error Estimates for Elliptic Interface Problems: Weak Galerkin Mixed Finite Element Approximations15
Order of Convergence of Splitting Schemes for Deterministic/Stochastic Gross-Pitaevskii Equations with Rotating Angular Momentum15
A Hybrid Two-Grid Algorithm for the Steady Magnetohydrodynamic System14
Conjugate Gradients Acceleration of Coordinate Descent for Linear Systems14
Weak Versus Strong Wall Boundary Conditions for the Incompressible Navier-Stokes Equations14
Optimal Parameters for Numerical Solvers of PDEs14
Artificial Viscosity to Get Both Robustness and Discrete Entropy Inequalities14
First- and Half-order Schemes for Regime Switching Stochastic Differential Equation with Non-differentiable Drift Coefficient14
Subdivision Schemes Based on Weighted Local Polynomial Regression: A New Technique for the Convergence Analysis14
A Semi-discrete First-Order Low Regularity Exponential Integrator for the “good” Boussinesq Equation Without Loss of Regularity14
An Adaptive Superfast Inexact Proximal Augmented Lagrangian Method for Smooth Nonconvex Composite Optimization Problems14
Numerical Conservations of Energy, Momentum and Actions in the Full Discretisation for Nonlinear Wave Equations13
Auto-Weighted Multiple Graph Regularized Non-negative Tensor Tucker Decomposition for Clustering13
On Approximate Matrix Factorization and TASE W-Methods for the Time Integration of Parabolic Partial Differential Equations13
Decoupled, Positivity-Preserving and Unconditionally Energy Stable Schemes for the Electrohydrodynamic Flow with Variable Density13
Convergence Analysis for Virtual Element Discretizations of the Cardiac Bidomain Model13
Numerical Bifurcation Analysis of PDEs From Lattice Boltzmann Model Simulations: a Parsimonious Machine Learning Approach13
Convergence Analysis of Linearized BDF2 Virtual Element Method for Strongly Nonlinear Parabolic Problems on General Polygonal Meshes13
An Accelerated Alternating Partial Bregman Algorithm for ReLU-based Matrix Decomposition13
Inexact Fixed-Point Proximity Algorithm for the $$\ell _0$$ Sparse Regularization Problem13
Strong Stability Preserving Multistep Schemes for Forward Backward Stochastic Differential Equations13
An Improved Arrow–Hurwicz Method for the Steady-State Navier–Stokes Equations12
Hierarchical Orthogonal Factorization: Sparse Least Squares Problems12
On Convergence Rates of Proximal Alternating Direction Method of Multipliers12
A Grid-Overlay Finite Difference Method for Inhomogeneous Dirichlet Problems of the Fractional Laplacian on Arbitrary Bounded Domains12
Correction to: A Mass-Preserving Two-Step Lagrange–Galerkin Scheme for Convection-Diffusion Problems12
Boundary Estimation from Point Clouds: Algorithms, Guarantees and Applications12
Gauss Newton Method for Solving Variational Problems of PDEs with Neural Network Discretizaitons12
Exponential Approximation Space Based Finite Volume WENO Scheme for Solving the Five-equation Model of Compressible Two-medium Flows12
Riemannian Accelerated Spectral Conjugate Gradient Method for the Tensor Completion Arising in the Color Image Restoration12
Distance Preserving Model Order Reduction of Graph-Laplacians and Cluster Analysis12
Adapting Cubic Hermite Splines to the Presence of Singularities Through Correction Terms12
A Fast Solver for Generalized Optimal Transport Problems Based on Dynamical System and Algebraic Multigrid12
A $$\tau $$-Preconditioner for Space Fractional Diffusion Equation with Non-separable Variable Coefficients12
Convergence Analysis of the Localized Orthogonal Decomposition Method for the Semiclassical Schrödinger Equations with Multiscale Potentials12
Modified Patankar Linear Multistep Methods for Production-Destruction Systems12
A Modified Tseng Splitting Method with Double Inertial Steps for Solving Monotone Inclusion Problems12
A Non-iterative Reconstruction Method For The Geometric Inverse Problem For The Wave Equation12
On Snapshot-Based Model Reduction Under Compatibility Conditions for a Nonlinear Flow Problem on Networks12
Two-Stage Model Reduction Approaches for the Efficient and Certified Solution of Parametrized Optimal Control Problems12
A theoretical study on the effect of mass lumping on the discrete frequencies in immersogeometric analysis11
A Two-Grid Decoupled Algorithm for a Multi-Dimensional Darcy–Brinkman Fracture Model11
An Exactly Curl-Free Finite-Volume/Finite-Difference Scheme for a Hyperbolic Compressible Isentropic Two-Phase Model11
Generalized Boundary Integral Equation Method for Boundary Value Problems of Two-D Isotropic Lattice Laplacian11
Analyses of the Contour Integral Method for Time Fractional Normal-Subdiffusion Transport Equation11
Finite Element Approximations of a Class of Nonlinear Stochastic Wave Equations with Multiplicative Noise11
A Nonmonotone Active-Set Semismooth Newton Method for Matrix Approximation with Group Regularization11
Perturbed Runge–Kutta Methods for Mixed Precision Applications11
A Robust and Adaptive GenEO-Type Domain Decomposition Preconditioner for $$\textbf{H}(\textbf{curl})$$ Problems in Three-Dimensional General Topologies11
Parallel Numerical Picard Iteration Methods11
Learning Proper Orthogonal Decomposition of Complex Dynamics Using Heavy-ball Neural ODEs11
Free-Boundary Conformal Parameterization of Point Clouds11
A Compressed Sensing Based Least Squares Approach to Semi-supervised Local Cluster Extraction11
A Multipoint Flux Approximation with a Diamond Stencil and a Non-Linear Defect Correction Strategy for the Numerical Solution of Steady State Diffusion Problems in Heterogeneous and Anisotropic Media 11
A Physical-Constraint-Preserving Discontinuous Galerkin Method for Weakly Compressible Two-Phase Flows11
An Analysis of Offline Model-Based Learning with Action Noise11
The Existence Theory of the Nonlinear Discrete System and the Convergence Theory of the Gummel Iteration for the PNP Equations11
An Interpolated Galerkin Finite Element Method for the Poisson Equation10
Fast Alternating Direction Multipliers Method by Generalized Krylov Subspaces10
A Third-Order Finite Volume Semi-Implicit Method for the Shallow Water-Exner Model10
On Numerical Integration and Conservation of Cell-Centered Finite Difference Method10
Multidimensional WENO-AO Reconstructions Using a Simplified Smoothness Indicator and Applications to Conservation Laws10
A Weak Galerkin Finite Element Method Can Compute Both Upper and Lower Eigenvalue Bounds10
The Homotopy Method for the Complete Solution of Quadratic Two-parameter Eigenvalue Problems10
Energy Stability and Maximum Principle of Skeletal Finite Element Method for Allen–Cahn Equation with Exponential Time Differencing Schemes10
The Mixed Discontinuous Galerkin Method for Transmission Eigenvalues for Anisotropic Medium10
Locking-Free and Locally-Conservative Enriched Galerkin Method for Poroelasticity10
Flexible Ultra-convergence Structures for the Finite Volume Element Method10
Unisolvency for Polynomial Interpolation in Simplices with Symmetrical Nodal Distributions10
A Semi Matrix-Free Twogrid Preconditioner for the Helmholtz Equation with Near Optimal Shifts10
Implementation, Realization and an Effective Solver of Two-Equation Turbulence Models10
Mixed Virtual Element Methods for a Stress-velocity-rotation Formulation in Viscoelasticity10
Second-Order Error Analysis for Fractal Mobile/Immobile Allen–Cahn Equation on Graded Meshes10
$$\beta $$-Robust Superconvergent Analysis of a Finite Element Method for the Distributed Order Time-Fractional Diffusion Equation10
Finite Element Grad Grad Complexes and Elasticity Complexes on Cuboid Meshes10
Preconditioned Legendre Spectral Galerkin Methods for the Non-separable Elliptic Equation10
An Optimal Control Deep Learning Method to Design Artificial Viscosities for Discontinuous Galerkin Schemes10
A Fully Discrete Decoupled Finite Element Method for the Thermally Coupled Incompressible Magnetohydrodynamic Problem9
Asymptotic Methods for Fractional Helmholtz Equations in the High Frequency Regime9
The Well-Posedness and Discontinuous Galerkin Approximation for the Non-Newtonian Stokes–Darcy–Forchheimer Coupling System9
A Particle-in-Cell Method for Plasmas with a Generalized Momentum Formulation, Part II: Enforcing the Lorenz Gauge Condition9
Learn an Index Operator by CNN for Solving Diffusive Optical Tomography: A Deep Direct Sampling Method9
An Oscillation-Free Spectral Volume Method for Hyperbolic Conservation Laws9
Higher Order Time Discretization Method for the Stochastic Stokes Equations with Multiplicative Noise9
A Multilinear HJB-POD Method for the Optimal Control of PDEs on a Tree Structure9
Provable Stochastic Algorithm for Large-Scale Fully-Connected Tensor Network Decomposition9
Temporal Second-Order Fast Finite Difference/Compact Difference Schemes for Time-Fractional Generalized Burgers’ Equations9
Two Dimensional Analysis and Optimization of Hybrid MDCD-TENO Schemes9
Efficient Arbitrary-High-Order TENO Schemes with Local Adaptive Dissipation for Compressible Flow Simulation on Unstructured Meshes9
Efficient a Posteriori Error Control of a Concurrent Multiscale Method with Sharp Interface for Crystalline Defects9
Analysis of a Parallel Grad-Div Stabilized Method for the Navier–Stokes Problem with Friction Boundary Conditions9
Well-Balancing via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts9
Quantifying Measurement-Induced Disturbance to Distinguish Correlations as Classical or Quantum9
On the Asymptotic Convergence and Acceleration of Gradient Methods9
A Convergent Post-processed Discontinuous Galerkin Method for Incompressible Flow with Variable Density9
Well-Balanced Fifth-Order Finite Volume WENO Schemes with Constant Subtraction Technique for Shallow Water Equations9
A Primal Staggered Discontinuous Galerkin Method on Polytopal Meshes9
Body-Fitted Tracking Within a Surface via a Level Set Based Mesh Evolution Method9
Rank Properties and Computational Methods for Orthogonal Tensor Decompositions9
A Mixed FEM for a Time-Fractional Fokker–Planck Model9
Inverting Incomplete Fourier Transforms by a Sparse Regularization Model and Applications in Seismic Wavefield Modeling9
Error Estimates of EDG-HDG Methods for the Stokes Equations with Dirac Measures9
A New Multi-Domain Spectral Method for Korteweg-de Vries Equation on The Whole Line8
The Arrow–Hurwicz Iterative Finite Element Method for the Stationary Thermally Coupled Incompressible Magnetohydrodynamics Flow8
A Scalable Space-Time Domain Decomposition Approach for Solving Large Scale Nonlinear Regularized Inverse Ill Posed Problems in 4D Variational Data Assimilation8
Homotopy Relaxation Training Algorithms for Infinite-Width Two-Layer ReLU Neural Networks8
Representation Theory Based Algorithm to Compute Boltzmann’s Bilinear Collision Operator in the Irreducible Spectral Burnett Ansatz Efficiently8
High-Order CENO Finite-Volume Scheme with Anisotropic Adaptive Mesh Refinement: Efficient Inexact Newton Method for Steady Three-Dimensional Flows8
Pointwise Error Estimates of Numerical Solutions to Linear Quadratic Optimal Control Problems8
A Parallel-in-Time Implementation of the Numerov Method For Wave Equations8
A Modified Convective Formulation in Navier–Stokes Simulations8
Error Estimates for Approximations of Time-Fractional Biharmonic Equation with Nonsmooth Data8
A High-Order Discrete Energy Decay and Maximum-Principle Preserving Scheme for Time Fractional Allen–Cahn Equation8
A Novel Two-Stage Robust Tensor Completion Method via Enhanced Global Recovery and Local Patch-Level Refinement8
A Smoothed Augmented Lagrangian Framework for Convex Optimization with Nonsmooth Constraints8
An Unconditionally Energy Stable and Positive Upwind DG Scheme for the Keller–Segel Model8
A Posteriori Error Analysis of the Hybrid High-Order Method for the Stokes Problem8
An Ultra-weak Local Discontinuous Galerkin Method with Generalized Numerical Fluxes for the KdV–Burgers–Kuramoto Equation8
An Efficient Spectral-Galerkin Method for Second Kind Weakly Singular VIEs with Highly Oscillatory Kernels8
Splitting Finite Element Approximations for Quasi-Static Electroporoelasticity Equations8
A Pseudostress-Based Mixed-Primal Finite Element Method for Stress-Assisted Diffusion Problems in Banach Spaces8
Accurate High-Order Tensor-Product Generalized Summation-By-Parts Discretizations of Hyperbolic Conservation Laws: General Curved Domains and Functional Superconvergence8
New Low-Dissipation Central-Upwind Schemes. Part II8
A New Insight on Augmented Lagrangian Method with Applications in Machine Learning8
Fast Sinkhorn II: Collinear Triangular Matrix and Linear Time Accurate Computation of Optimal Transport8
Positivity-Preserving and Well-Balanced Adaptive Surface Reconstruction Schemes for Shallow Water Equations with Wet-Dry Fronts8
A Rigorous Integrator and Global Existence for Higher-Dimensional Semilinear Parabolic PDEs via Semigroup Theory8
Error Estimates for Finite Element Approximation of Dirichlet Boundary Control for Stokes Equations in $$\mathbf{L} ^2(\Gamma )$$8
Solving Stochastic Optimal Control Problem via Stochastic Maximum Principle with Deep Learning Method8
Surrogate Modeling of Resonant Behavior in Scattering Problems Through Adaptive Rational Approximation and Sketching8
Tensor Completion via A Generalized Transformed Tensor T-Product Decomposition Without t-SVD8
A Unifying Algebraic Framework for Discontinuous Galerkin and Flux Reconstruction Methods Based on the Summation-by-Parts Property8
High Order Conservative Schemes for the Generalized Benjamin–Ono Equation on the Unbounded Domain8
Efficient Structure-Preserving Scheme for the Space Fractional Allen–Cahn Equation with Logarithmic Flory–Huggins Potential7
Multi-dimensional Scaling from K-Nearest Neighbourhood Distances7
High Order Structure-Preserving Finite Difference WENO Schemes for MHD Equations with Gravitation in all Sonic Mach Numbers7
A Numerical Method for Singularly Perturbed Convection-diffusion Problems Posed on Smooth Domains7
Very High-Order Accurate Discontinuous Galerkin Method for Curved Boundaries with Polygonal Meshes7
Time-Limited Balanced Truncation for Data Assimilation Problems7
Hierarchical Model Reduction Driven by Machine Learning for Parametric Advection-Diffusion-Reaction Problems in the Presence of Noisy Data7
Numerical Analysis of Two-Dimensional Time-Fractional Allen-Cahn Equation on a New Non-uniform Mesh Construction Strategy7
Detecting Near Resonances in Acoustic Scattering7
Generalized Truncated Moment Problems with Unbounded Sets7
Partial Newton-Correction Method for Multiple Fixed Points of Semi-linear Differential Operators by Legendre–Gauss–Lobatto Pseudospectral Method7
Entropy–Preserving and Entropy–Stable Relaxation IMEX and Multirate Time–Stepping Methods7
Doubly relaxed forward-Douglas–Rachford splitting for the sum of two nonconvex and a DC function7
High-Order Accurate Entropy Stable Schemes for Relativistic Hydrodynamics with General Synge-Type Equation of State7
A Penalty-Free and Essentially Stabilization-Free DG Method for Convection-Dominated Second-Order Elliptic Problems7
Study on $$L_1$$ over $$L_2$$ Minimization for Nonnegative Signal Recovery7
A New Finite Element Method for Elliptic Optimal Control Problems with Pointwise State Constraints in Energy Spaces7
Convergent Sixth-order Compact Finite Difference Method for Variable-Coefficient Elliptic PDEs in Curved Domains7
Conformal Finite Element Methods for Nonlinear Rosenau-Burgers-Biharmonic Models7
Scientific Machine Learning Through Physics–Informed Neural Networks: Where we are and What’s Next7
A Posteriori Error Analysis of a Mixed Finite Element Method for the Coupled Brinkman–Forchheimer and Double-Diffusion Equations7
An Eulerian Approach to Regularized JKO Scheme with Low-Rank Tensor Decompositions for Bayesian Inversion7
Primal Hybrid Method For Quasilinear Parabolic Problems7
Second Order Convergence of a Modified MAC Scheme for Stokes Interface Problems7
A Modified Rotated-$$Q_1$$ Finite Element for the Stokes Equations on Quadrilateral and Hexahedral Meshes7
A Lowest-Degree Conservative Finite Element Scheme for Incompressible Stokes Problems on General Triangulations7
A Nonnested Augmented Subspace Method for Elliptic Eigenvalue Problems with Curved Interfaces7
A Unified Arbitrary Lagrangian–Eulerian Model for Fluid–Structure Interaction Problems Involving Flows in Flexible Channels7
Improved Uniform Error Bounds on a Lawson-type Exponential Integrator Method for Long-Time Dynamics of the Nonlinear Double Sine-Gordon Equation7
Global Convergence of Natural Policy Gradient with Hessian-Aided Momentum Variance Reduction7
A Nonconforming Extended Virtual Element Method for Elliptic Interface Problems7
A Posteriori Error Estimator for Elliptic Interface Problems in a Fictitious Domain Formulation7
0.11276507377625