Journal of Scientific Computing

Papers
(The TQCC of Journal of Scientific Computing is 4. 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 2020-11-01 to 2024-11-01.)
ArticleCitations
Scientific Machine Learning Through Physics–Informed Neural Networks: Where we are and What’s Next587
A Comprehensive Deep Learning-Based Approach to Reduced Order Modeling of Nonlinear Time-Dependent Parametrized PDEs127
A Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Square Phase Field Crystal Equation69
Time-Fractional Allen–Cahn Equations: Analysis and Numerical Methods62
The High Order Augmented Finite Volume Methods Based on Series Expansion for Nonlinear Degenerate Parabolic Equations58
Unconditional Stability and Optimal Error Estimates of Euler Implicit/Explicit-SAV Scheme for the Navier–Stokes Equations56
Mathematical Analysis and the Local Discontinuous Galerkin Method for Caputo–Hadamard Fractional Partial Differential Equation50
Subgradient Extragradient Method with Double Inertial Steps for Variational Inequalities45
Generalised Latent Assimilation in Heterogeneous Reduced Spaces with Machine Learning Surrogate Models45
Solving the Kolmogorov PDE by Means of Deep Learning40
Numerical Solution of the Parametric Diffusion Equation by Deep Neural Networks39
On High Order ADER Discontinuous Galerkin Schemes for First Order Hyperbolic Reformulations of Nonlinear Dispersive Systems37
Improved Architectures and Training Algorithms for Deep Operator Networks37
A Preconditioning Technique for an All-at-once System from Volterra Subdiffusion Equations with Graded Time Steps36
Numerical solution and bifurcation analysis of nonlinear partial differential equations with extreme learning machines34
Strong Convergence of Self-adaptive Inertial Algorithms for Solving Split Variational Inclusion Problems with Applications33
Inertial-Type Algorithm for Solving Split Common Fixed Point Problems in Banach Spaces33
Convergence of Relaxed Inertial Subgradient Extragradient Methods for Quasimonotone Variational Inequality Problems30
On Thermodynamically Compatible Finite Volume Methods and Path-Conservative ADER Discontinuous Galerkin Schemes for Turbulent Shallow Water Flows30
An Energy Stable Finite Element Scheme for the Three-Component Cahn–Hilliard-Type Model for Macromolecular Microsphere Composite Hydrogels30
Analysis of the SBP-SAT Stabilization for Finite Element Methods Part I: Linear Problems29
Stabilized Exponential-SAV Schemes Preserving Energy Dissipation Law and Maximum Bound Principle for The Allen–Cahn Type Equations28
Nonlinear Transform Induced Tensor Nuclear Norm for Tensor Completion27
Adaptive Radial Basis Function Partition of Unity Interpolation: A Bivariate Algorithm for Unstructured Data27
Algorithms for Nonnegative Matrix Factorization with the Kullback–Leibler Divergence26
Relaxed Forward–Backward Splitting Methods for Solving Variational Inclusions and Applications26
Tensor Completion via Fully-Connected Tensor Network Decomposition with Regularized Factors25
IDENT: Identifying Differential Equations with Numerical Time Evolution24
Arbitrarily High-Order Maximum Bound Preserving Schemes with Cut-off Postprocessing for Allen–Cahn Equations24
Optimal Strong Convergence of Finite Element Methods for One-Dimensional Stochastic Elliptic Equations with Fractional Noise23
The Nonconforming Virtual Element Method for a Stationary Stokes Hemivariational Inequality with Slip Boundary Condition23
Non-linear Manifold Reduced-Order Models with Convolutional Autoencoders and Reduced Over-Collocation Method22
Two Descent Dai-Yuan Conjugate Gradient Methods for Systems of Monotone Nonlinear Equations22
Mesh-Robustness of an Energy Stable BDF2 Scheme with Variable Steps for the Cahn–Hilliard Model22
Rank-Adaptive Tensor Methods for High-Dimensional Nonlinear PDEs22
A Symmetric Fractional-order Reduction Method for Direct Nonuniform Approximations of Semilinear Diffusion-wave Equations21
CWENO Finite-Volume Interface Capturing Schemes for Multicomponent Flows Using Unstructured Meshes21
A High-Order and Unconditionally Energy Stable Scheme for the Conservative Allen–Cahn Equation with a Nonlocal Lagrange Multiplier20
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 FEM20
Nonconvex Optimization for Robust Tensor Completion from Grossly Sparse Observations20
A Class of New High-order Finite-Volume TENO Schemes for Hyperbolic Conservation Laws with Unstructured Meshes19
The Unified Theory of Shifted Convolution Quadrature for Fractional Calculus19
A Novel Regularization Based on the Error Function for Sparse Recovery19
High-Order Linearly Implicit Structure-Preserving Exponential Integrators for the Nonlinear Schrödinger Equation19
Convergence and Stability in Maximum Norms of Linearized Fourth-Order Conservative Compact Scheme for Benjamin–Bona–Mahony–Burgers’ Equation19
Numerical Bifurcation Analysis of PDEs From Lattice Boltzmann Model Simulations: a Parsimonious Machine Learning Approach19
An Efficient Randomized Algorithm for Computing the Approximate Tucker Decomposition19
Eigenvalues of Quaternion Tensors with Applications to Color Video Processing19
A Novel Scheme to Capture the Initial Dramatic Evolutions of Nonlinear Subdiffusion Equations19
Efficient, Positive, and Energy Stable Schemes for Multi-D Poisson–Nernst–Planck Systems18
Variational Physics Informed Neural Networks: the Role of Quadratures and Test Functions18
A Limited-Memory Riemannian Symmetric Rank-One Trust-Region Method with a Restart Strategy18
Acceleration of Primal–Dual Methods by Preconditioning and Simple Subproblem Procedures18
Convergence Analysis of Hybrid High-Order Methods for the Wave Equation18
The Quasi-reversibility Method to Numerically Solve an Inverse Source Problem for Hyperbolic Equations18
Multi-Dimensional Image Recovery via Fully-Connected Tensor Network Decomposition Under the Learnable Transforms18
High Order Finite Difference Multi-resolution WENO Method for Nonlinear Degenerate Parabolic Equations18
Deep-HyROMnet: A Deep Learning-Based Operator Approximation for Hyper-Reduction of Nonlinear Parametrized PDEs17
Element-Free Galerkin Analysis of Stokes Problems Using the Reproducing Kernel Gradient Smoothing Integration17
$$\beta $$-Robust Superconvergent Analysis of a Finite Element Method for the Distributed Order Time-Fractional Diffusion Equation17
A Posteriori Subcell Finite Volume Limiter for General $$P_NP_M$$ Schemes: Applications from Gasdynamics to Relativistic Magnetohydrodynamics17
Strong Convergence of Forward–Reflected–Backward Splitting Methods for Solving Monotone Inclusions with Applications to Image Restoration and Optimal Control16
Unconditionally Energy-Stable Finite Element Scheme for the Chemotaxis-Fluid System16
Coupled Iterative Analysis for Stationary Inductionless Magnetohydrodynamic System Based on Charge-Conservative Finite Element Method16
Mixed Finite Element Method for a Hemivariational Inequality of Stationary Navier–Stokes Equations16
Monomial Augmentation Guidelines for RBF-FD from Accuracy Versus Computational Time Perspective16
Higher Order Approximation for Stochastic Space Fractional Wave Equation Forced by an Additive Space-Time Gaussian Noise16
Stability and Error Estimate of the Operator Splitting Method for the Phase Field Crystal Equation16
Fifth-Order Hermite Targeted Essentially Non-oscillatory Schemes for Hyperbolic Conservation Laws16
A Second Order Energy Dissipative Scheme for Time Fractional L$$^{2}$$ Gradient Flows using SAV Approach16
Optimal Petrov–Galerkin Spectral Approximation Method for the Fractional Diffusion, Advection, Reaction Equation on a Bounded Interval16
Numerical Approximation of the Two-Component PFC Models for Binary Colloidal Crystals: Efficient, Decoupled, and Second-Order Unconditionally Energy Stable Schemes15
The Role of Boundary Conditions on Convergence Properties of Peridynamic Model for Transient Heat Transfer15
DeC and ADER: Similarities, Differences and a Unified Framework15
Tensor Arnoldi–Tikhonov and GMRES-Type Methods for Ill-Posed Problems with a t-Product Structure15
Exact and Numerical Solutions of the Riemann Problem for a Conservative Model of Compressible Two-Phase Flows15
A Fully-Mixed Formulation for the Steady Double-Diffusive Convection System Based upon Brinkman–Forchheimer Equations15
Weak Convergence Rates for an Explicit Full-Discretization of Stochastic Allen–Cahn Equation with Additive Noise15
Cut-Off Error Splitting Technique for Conservative Nonconforming VEM for N-Coupled Nonlinear Schrödinger–Boussinesq Equations15
Unconditionally Maximum Bound Principle Preserving Linear Schemes for the Conservative Allen–Cahn Equation with Nonlocal Constraint15
Robust Grey Wolf Optimizer for Multimodal Optimizations: A Cross-Dimensional Coordination Approach14
A Second Order Energy Stable BDF Numerical Scheme for the Swift–Hohenberg Equation14
On a Reconstruction of a Solely Time-Dependent Source in a Time-Fractional Diffusion Equation with Non-smooth Solutions14
An Efficient Algorithm for Computing the Approximate t-URV and its Applications14
Well-Balancing via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts13
Accurate Computations with Collocation and Wronskian Matrices of Jacobi Polynomials13
Variational Framework for Structure-Preserving Electromagnetic Particle-in-Cell Methods13
High Order Compact Block-Centered Finite Difference Schemes for Elliptic and Parabolic Problems13
A Virtual Element Method for the Steklov Eigenvalue Problem Allowing Small Edges13
On the Asymptotic Linear Convergence Speed of Anderson Acceleration Applied to ADMM13
Constrained High-Index Saddle Dynamics for the Solution Landscape with Equality Constraints13
A New Discontinuous Galerkin Method for Elastic Waves with Physically Motivated Numerical Fluxes13
Fully Discrete Discontinuous Galerkin Numerical Scheme with Second-Order Temporal Accuracy for the Hydrodynamically Coupled Lipid Vesicle Model12
A Dimensional Splitting Exponential Time Differencing Scheme for Multidimensional Fractional Allen-Cahn Equations12
On a New Spatial Discretization for a Regularized 3D Compressible Isothermal Navier–Stokes–Cahn–Hilliard System of Equations with Boundary Conditions12
Learning Nonlinear Electrical Impedance Tomography12
Bound-preserving Flux Limiting for High-Order Explicit Runge–Kutta Time Discretizations of Hyperbolic Conservation Laws12
Data-Driven Reduced Order Modelling for Patient-Specific Hemodynamics of Coronary Artery Bypass Grafts with Physical and Geometrical Parameters12
Linear High-Order Energy-Preserving Schemes for the Nonlinear Schrödinger Equation with Wave Operator Using the Scalar Auxiliary Variable Approach12
Positivity-Preserving Well-Balanced Arbitrary Lagrangian–Eulerian Discontinuous Galerkin Methods for the Shallow Water Equations12
A Global-in-time Domain Decomposition Method for the Coupled Nonlinear Stokes and Darcy Flows12
A Quasi-Conservative Discontinuous Galerkin Method for Multi-component Flows Using the Non-oscillatory Kinetic Flux12
A p-Adaptive Discontinuous Galerkin Method with hp-Shock Capturing12
Orthogonal Dual Graph-Regularized Nonnegative Matrix Factorization for Co-Clustering12
Improved Deep Neural Networks with Domain Decomposition in Solving Partial Differential Equations12
Guidelines for RBF-FD Discretization: Numerical Experiments on the Interplay of a Multitude of Parameter Choices12
Stochastic Gradient Descent with Polyak’s Learning Rate12
A Reduced Order Model Approach to Inverse Scattering in Lossy Layered Media12
A Class of Lagrangian–Eulerian Shock-Capturing Schemes for First-Order Hyperbolic Problems with Forcing Terms11
Non-Intrusive Reduced-Order Modeling of Parameterized Electromagnetic Scattering Problems using Cubic Spline Interpolation11
A High-Order Well-Balanced Positivity-Preserving Moving Mesh DG Method for the Shallow Water Equations With Non-Flat Bottom Topography11
Unconditional Energy Dissipation and Error Estimates of the SAV Fourier Spectral Method for Nonlinear Fractional Generalized Wave Equation11
The Gradient Descent Method for the Convexification to Solve Boundary Value Problems of Quasi-Linear PDEs and a Coefficient Inverse Problem11
Optimal Error Estimates of Coupled and Divergence-Free Virtual Element Methods for the Poisson–Nernst–Planck/Navier–Stokes Equations and Applications in Electrochemical Systems11
Convergence and Supercloseness in a Balanced Norm of Finite Element Methods on Bakhvalov-Type Meshes for Reaction-Diffusion Problems11
A C0 Interior Penalty Finite Element Method for Flexoelectricity11
The Nonconvex Tensor Robust Principal Component Analysis Approximation Model via the Weighted $$\ell _p$$-Norm Regularization11
A Posteriori Error Analysis for Variable-Coefficient Multiterm Time-Fractional Subdiffusion Equations11
Accelerated Information Gradient Flow11
An Efficient Numerical Algorithm for Solving Data Driven Feedback Control Problems11
An Implicit–Explicit Second-Order BDF Numerical Scheme with Variable Steps for Gradient Flows11
A Posteriori Error Estimates of Spectral Approximations for Second Order Partial Differential Equations in Spherical Geometries11
Implicit Multirate GARK Methods11
Development of Pressure-Robust Discontinuous Galerkin Finite Element Methods for the Stokes Problem10
Adaptive Virtual Element Method for Optimal Control Problem Governed by General Elliptic Equation10
DCT-Former: Efficient Self-Attention with Discrete Cosine Transform10
A Golden Ratio Primal–Dual Algorithm for Structured Convex Optimization10
The Active Flux Scheme for Nonlinear Problems10
Analysis of Fully Discrete Mixed Finite Element Methods for Time-dependent Stochastic Stokes Equations with Multiplicative Noise10
A Positivity Preserving, Energy Stable Finite Difference Scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes System10
Spectral Properties of High-Order Element Types for Implicit Large Eddy Simulation10
Matrix Equation Techniques for Certain Evolutionary Partial Differential Equations10
A Weakly Non-hydrostatic Shallow Model for Dry Granular Flows10
A Virtual Element Method for the Wave Equation on Curved Edges in Two Dimensions10
Stability Analysis of Polytopic Discontinuous Galerkin Approximations of the Stokes Problem with Applications to Fluid–Structure Interaction Problems10
Complexity of Proximal Augmented Lagrangian for Nonconvex Optimization with Nonlinear Equality Constraints10
Asymptotic-Preserving Neural Networks for Multiscale Time-Dependent Linear Transport Equations10
An Adaptive Dynamical Low Rank Method for the Nonlinear Boltzmann Equation10
Sharp Error Estimate of an Implicit BDF2 Scheme with Variable Time Steps for the Phase Field Crystal Model10
Mixed Finite Element Method for Modified Poisson–Nernst–Planck/Navier–Stokes Equations9
The Deep Learning Galerkin Method for the General Stokes Equations9
Robust Low Transformed Multi-Rank Tensor Methods for Image Alignment9
Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Schemes for Shallow Water Models9
Two L1 Schemes on Graded Meshes for Fractional Feynman-Kac Equation9
A Multigrid Multilevel Monte Carlo Method for Stokes–Darcy Model with Random Hydraulic Conductivity and Beavers–Joseph Condition9
A New Class of A Stable Summation by Parts Time Integration Schemes with Strong Initial Conditions9
Strong Convergence of the Modified Inertial Extragradient Method with Line-Search Process for Solving Variational Inequality Problems in Hilbert Spaces9
Discontinuity Computing Using Physics-Informed Neural Networks9
Banded Preconditioners for Riesz Space Fractional Diffusion Equations9
Error Estimate of a Fully Discrete Finite Element Method for Incompressible Vector Potential Magnetohydrodynamic System9
A Convergent Post-processed Discontinuous Galerkin Method for Incompressible Flow with Variable Density9
A Fast Algorithm for the Variable-Order Spatial Fractional Advection-Diffusion Equation9
Numerical Analysis of Two Galerkin Discretizations with Graded Temporal Grids for Fractional Evolution Equations9
A Robust High Order Alternative WENO Scheme for the Five-Equation Model9
Energy Stability of BDF Methods up to Fifth-Order for the Molecular Beam Epitaxial Model Without Slope Selection9
Constructive Deep ReLU Neural Network Approximation9
The Arrow–Hurwicz Iterative Finite Element Method for the Stationary Thermally Coupled Incompressible Magnetohydrodynamics Flow8
A Training Set Subsampling Strategy for the Reduced Basis Method8
Lax-Wendroff Approximate Taylor Methods with Fast and Optimized Weighted Essentially Non-oscillatory Reconstructions8
Stabilizing Radial Basis Function Methods for Conservation Laws Using Weakly Enforced Boundary Conditions8
An Arbitrary High Order Well-Balanced ADER-DG Numerical Scheme for the Multilayer Shallow-Water Model with Variable Density8
Sketch-Based Empirical Natural Gradient Methods for Deep Learning8
Energy Stable Nodal Discontinuous Galerkin Methods for Nonlinear Maxwell’s Equations in Multi-dimensions8
An Exactly Curl-Free Staggered Semi-Implicit Finite Volume Scheme for a First Order Hyperbolic Model of Viscous Two-Phase Flows with Surface Tension8
A Linear Finite Difference Scheme for the Two-Dimensional Nonlinear Schrödinger Equation with Fractional Laplacian8
On the Stochastic Magnus Expansion and Its Application to SPDEs8
A Unified Arbitrary Lagrangian–Eulerian Model for Fluid–Structure Interaction Problems Involving Flows in Flexible Channels8
Large-Scale Bayesian Optimal Experimental Design with Derivative-Informed Projected Neural Network8
Moreau Envelope Augmented Lagrangian Method for Nonconvex Optimization with Linear Constraints8
A Comparative Study from Spectral Analyses of High-Order Methods with Non-Constant Advection Velocities8
Second Order Fully Semi-Lagrangian Discretizations of Advection-Diffusion-Reaction Systems8
Numerical Computation of Partial Differential Equations by Hidden-Layer Concatenated Extreme Learning Machine8
Arbitrary High Order WENO Finite Volume Scheme with Flux Globalization for Moving Equilibria Preservation8
DeepSets and Their Derivative Networks for Solving Symmetric PDEs8
Verifiability of the Data-Driven Variational Multiscale Reduced Order Model8
A New Sixth-Order Finite Difference WENO Scheme for Fractional Differential Equations8
An Efficient Low-Dissipation High-Order TENO Scheme for MHD Flows8
Efficient Conformal Parameterization of Multiply-Connected Surfaces Using Quasi-Conformal Theory8
Variance-Based Subgradient Extragradient Method for Stochastic Variational Inequality Problems8
The Operator-Splitting Method for Cahn-Hilliard is Stable8
Tensor Completion via A Generalized Transformed Tensor T-Product Decomposition Without t-SVD8
Weighted Hyper-Laplacian Prior with Overlapping Group Sparsity for Image Restoration under Cauchy Noise8
A Well-Balanced and Positivity-Preserving Numerical Model for Shallow Water Flows in Channels with Wet–Dry Fronts8
Free-Boundary Conformal Parameterization of Point Clouds8
L1 Method on Nonuniform Meshes for Linear Time-Fractional Diffusion Equations with Constant Time Delay8
A High Order Compact FD Framework for Elliptic BVPs Involving Singular Sources, Interfaces, and Irregular Domains8
Adaptive HDG Methods for the Brinkman Equations with Application to Optimal Control8
A Local Radial Basis Function Method for the Laplace–Beltrami Operator8
Global-in-Time $$H^1$$-Stability of L2-1$$_\sigma $$ Method on General Nonuniform Meshes for Subdiffusion Equation8
Efficient Structure Preserving Schemes for the Klein–Gordon–Schrödinger Equations8
High-Order Finite-Volume TENO Schemes with Dual ENO-Like Stencil Selection for Unstructured Meshes8
Analysis of a New NFV Scheme Preserving DMP for Two-Dimensional Sub-diffusion Equation on Distorted Meshes7
A Power Method for Computing the Dominant Eigenvalue of a Dual Quaternion Hermitian Matrix7
Numerical Approximations and Error Analysis of the Cahn–Hilliard Equation with Reaction Rate Dependent Dynamic Boundary Conditions7
Efficient Color Image Segmentation via Quaternion-based $$L_1/L_2$$ Regularization7
Finite Element Methods for Large-Strain Poroelasticity/Chemotaxis Models Simulating the Formation of Myocardial Oedema7
Energy Plus Maximum Bound Preserving Runge–Kutta Methods for the Allen–Cahn Equation7
A Class of Positive Semi-discrete Lagrangian–Eulerian Schemes for Multidimensional Systems of Hyperbolic Conservation Laws7
Uniform Stability and Convergence with Respect to $$(\nu , \mu , s, 1-\sigma )$$ of the Three Iterative Finite Element Solutions for the 3D Steady MHD Equations7
An hp-Version Jacobi Spectral Collocation Method for the Third-Kind VIEs7
Optimal Runge-Kutta Stability Polynomials for Multidimensional High-Order Methods7
Preconditioners with Symmetrized Techniques for Space Fractional Cahn-Hilliard Equations7
A Mean Field Game Inverse Problem7
Finite Element Method for Fractional Parabolic Integro-Differential Equations with Smooth and Nonsmooth Initial Data7
Goal-Oriented Sensitivity Analysis of Hyperparameters in Deep Learning7
Sensitivity Parameter-Independent Characteristic-Wise Well-Balanced Finite Volume WENO Scheme for the Euler Equations Under Gravitational Fields7
Operator Inference of Non-Markovian Terms for Learning Reduced Models from Partially Observed State Trajectories7
High Order Finite Difference Alternative WENO Scheme for Multi-component Flows7
A Line Search Based Proximal Stochastic Gradient Algorithm with Dynamical Variance Reduction7
Numerical Analysis of a Fast Finite Element Method for a Hidden-Memory Variable-Order Time-Fractional Diffusion Equation7
A High-Order Residual-Based Viscosity Finite Element Method for the Ideal MHD Equations7
Bernstein-Bézier Galerkin-Characteristics Finite Element Method for Convection-Diffusion Problems7
New Analysis of Mixed Finite Element Methods for Incompressible Magnetohydrodynamics7
Conforming Virtual Element Methods for Sobolev Equations7
Meshless Symplectic and Multi-symplectic Local RBF Collocation Methods for Hamiltonian PDEs7
Optimal Error Estimates of SAV Crank–Nicolson Finite Element Method for the Coupled Nonlinear Schrödinger Equation7
Second-Order and Nonuniform Time-Stepping Schemes for Time Fractional Evolution Equations with Time–Space Dependent Coefficients7
Adaptive HDG Methods for the Steady-State Incompressible Navier–Stokes Equations7
Second-Order Convergence of the Linearly Extrapolated Crank–Nicolson Method for the Navier–Stokes Equations with $$\mathbf{H^1}$$ Initial Data7
Stochastic Variance Reduced Gradient Methods Using a Trust-Region-Like Scheme7
A High-Order Two-Grid Difference Method for Nonlinear Time-Fractional Biharmonic Problems and Its Unconditional $$\alpha $$-Robust Error Estimates7
On Developing Piecewise Rational Mapping with Fine Regulation Capability for WENO Schemes7
Unconditional Convergence of Conservative Spectral Galerkin Methods for the Coupled Fractional Nonlinear Klein–Gordon–Schrödinger Equations7
A Reduced Basis Method for Radiative Transfer Equation7
A Quasi-Conservative Discontinuous Galerkin Method for Multi-component Flows Using the Non-oscillatory Kinetic Flux II: ALE Framework7
Solving Nonlinear Systems of Equations Via Spectral Residual Methods: Stepsize Selection and Applications7
A Modified Tseng Splitting Method with Double Inertial Steps for Solving Monotone Inclusion Problems7
Scale-Invariant Multi-resolution Alternative WENO Scheme for the Euler Equations7
Fast Cadzow’s Algorithm and a Gradient Variant7
Second Order, Unconditionally Stable, Linear Ensemble Algorithms for the Magnetohydrodynamics Equations7
Generalized Exponential Time Differencing Schemes for Stiff Fractional Systems with Nonsmooth Source Term7
Efficient Alternating Least Squares Algorithms for Low Multilinear Rank Approximation of Tensors7
An Accelerated Smoothing Gradient Method for Nonconvex Nonsmooth Minimization in Image Processing7
Smoothing Strategy Along with Conjugate Gradient Algorithm for Signal Reconstruction7
Bifidelity Data-Assisted Neural Networks in Nonintrusive Reduced-Order Modeling7
Virtual Element Method for Solving an Inhomogeneous Brusselator Model With and Without Cross-Diffusion in Pattern Formation7
Residual Viscosity Stabilized RBF-FD Methods for Solving Nonlinear Conservation Laws7
A Fully Divergence-Free Finite Element Scheme for Stationary Inductionless Magnetohydrodynamic Equations7
Highly Efficient and Energy Stable Schemes for the 2D/3D Diffuse Interface Model of Two-Phase Magnetohydrodynamics7
Topology-Preserving 3D Image Segmentation Based on Hyperelastic Regularization6
On Diagonal Dominance of FEM Stiffness Matrix of Fractional Laplacian and Maximum Principle Preserving Schemes for the Fractional Allen–Cahn Equation6
Error Estimates of the Godunov Method for the Multidimensional Compressible Euler System6
Efficient Spectral Methods for PDEs with Spectral Fractional Laplacian6
Poly-Sinc Solution of Stochastic Elliptic Differential Equations6
Image Multiplicative Denoising Using Adaptive Euler’s Elastica as the Regularization6
Machine Learning Moment Closure Models for the Radiative Transfer Equation III: Enforcing Hyperbolicity and Physical Characteristic Speeds6
A Novel Discrete Fractional Grönwall-Type Inequality and Its Application in Pointwise-in-Time Error Estimates6
Discretization of a Distributed Optimal Control Problem with a Stochastic Parabolic Equation Driven by Multiplicative Noise6
Projected Gradient Method Combined with Homotopy Techniques for Volume-Measure-Preserving Optimal Mass Transportation Problems6
A Fast Operator-splitting Method for Beltrami Color Image Denoising6
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