Numerical Mathematics-Theory Methods and Applications

Papers
(The TQCC of Numerical Mathematics-Theory Methods and Applications is 1. 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 2021-06-01 to 2025-06-01.)
ArticleCitations
A Priori Error Estimate of Nonconforming Virtual Element Method for Convection Dominated Diffusion Equation32
A Generalized Selectively Relaxed Matrix Splitting Preconditioning Strategy for Three-Dimensional Flux-Limited Multi-Group Radiation Diffusion Equations28
L1/Local Discontinuous Galerkin Method for the Time-Fractional Stokes Equation21
Symmetric-Adjoint and Symplectic-Adjoint Runge-Kutta Methods and Their Applications21
Analysis and Optimal Control of a System of Hemivariational Inequalities Arising in Non-Stationary Navier-Stokes Equation with Thermal Effects18
A Third Order Accurate in Time, BDF-Type Energy Stable Scheme for the Cahn-Hilliard Equation9
Character Modelling with Sketches and ODE-Based Shape Creation9
On Discontinuous and Continuous Approximations to Second-Kind Volterra Integral Equations9
New Log Basis Functions with a Scaling Factor and Their Applications7
New Extrapolation Modulus-based Economical Cascadic Multigrid Method for Variational Inequality Problems with Nonlinear Source Terms7
Fusing Infrared and Visible Images via a First-Order Model6
Sparse Deep Neural Network for Nonlinear Partial Differential Equations5
Space-Time Decomposition of Kalman Filter5
Mixed Finite Element Methods for the Ferrofluid Model with Magnetization Paralleled to the Magnetic Field5
Enhancing RBF-FD Efficiency for Highly Non-Uniform Node Distributions via Adaptivity4
Low Rank and Total Variation Based Two-Phase Method for Image Deblurring with Salt-and-Pepper Impulse Noise4
PI-VEGAN: Physics Informed Variational Embedding Generative Adversarial Networks for Stochastic Differential Equations4
Convergence Analysis of a Quasi-Monte Carlo-Based Deep Learning Algorithm for Solving Partial Differential Equations4
Green Function Method for Quantum Transport Based on the Generalized Fourier Transform3
Manifold Triangular Mesh Editing Based on Finite Differences and Fourier Series3
An Energy Stable Filtered Backward Euler Scheme for the MBE Equation with Slope Selection3
A Study on CFL Conditions for the DG Solution of Conservation Laws on Adaptive Moving Meshes3
Efficient Hermite Spectral-Galerkin Methods for Nonlocal Diffusion Equations in Unbounded Domains3
A Class of Efficient Multistep Methods for Forward Backward Stochastic Differential Equations3
HRW: Hybrid Residual and Weak Form Loss for Solving Elliptic Interface Problems with Neural Network3
Convergence of Weak Galerkin Finite Element Method for Second Order Linear Wave Equation in Heterogeneous Media2
On Quadratic Wasserstein Metric with Squaring Scaling for Seismic Velocity Inversion2
Semi-Discrete and Fully Discrete Weak Galerkin Finite Element Methods for a Quasistatic Maxwell Viscoelastic Model2
The Discontinuous Galerkin Method by Divergence-Free Patch Reconstruction for Stokes Eigenvalue Problems2
A BDF2-SSAV Numerical Scheme with Fourier-Spectral Method for a Droplet Thin Film Coarsening Model2
Projection Improved SPAI Preconditioner for FGMRES2
Analysis of Deep Ritz Methods for Semilinear Elliptic Equations2
Stability and Error Analysis of SAV Semi-Discrete Scheme for Cahn-Hilliard-Navier-Stokes Model2
A Hybrid Scheme of Level Set and Diffuse Interface Methods for Simulating Multi-Phase Compressible Flows2
Numerical Algorithm with Fourth-Order Spatial Accuracy for Solving the Time-Fractional Dual-Phase-Lagging Nanoscale Heat Conduction Equation2
Implicit-Explicit Time Discretization Schemes for a Class of Semilinear Wave Equations with Nonautonomous Dampings2
A Robust Modified Weak Galerkin Finite Element Method for Reaction-Diffusion Equations2
A Novel Class of Energy-Preserving Runge-Kutta Methods for the Korteweg-de Vries Equation2
Penalized Schemes for Hamilton-Jacobi-Bellman Quasi-Variational Inequalities Arising in Regime Switching Utility Maximization with Optimal Stopping1
Finite Difference Method for Inhomogeneous Fractional Dirichlet Problem1
Analysis and Efficient Implementation of Quadratic Spline Collocation ADI Methods for Variable-Order Time-Fractional Mobile-Immobile Diffusion Equations1
Novel High-Order Mass- and Energy-Conservative Runge-Kutta Integrators for the Regularized Logarithmic Schrödinger Equation1
A Convergence Analysis of a Structure-Preserving Gradient Flow Method for the All-Electron Kohn-Sham Model1
An Efficient Variational Model for Multiplicative Noise Removal1
Convergence Analysis of Split-Douglas-Rachford Algorithm and a Novel Preconditioned ADMM with an Improved Condition1
Convergence Analysis of OT-Flow for Sample Generation1
Two Dynamical Models Based on Projection Operator for Solving the System of Absolute Value Equations Associated with Second-Order Cone1
A Structure-Preserving JKO Scheme for the Size-Modified Poisson-Nernst-Planck-Cahn-Hilliard Equations1
Approximation of the Spectral Fractional Powers of the Laplace-Beltrami Operator1
The Recovery Guarantee for Orthogonal Matching Pursuit Method to Reconstruct Sparse Polynomials1
Splitting ADI Scheme for Fractional Laplacian Wave Equations1
Noise Robust Physics-Informed Generative Adversarial Networks for Solving Stochastic Differential Equations1
A Local Deep Learning Method for Solving High Order Partial Differential Equations1
Convergent and Orthogonality Preserving Schemes for Approximating the Kohn-Sham Orbitals1
Efficient and Accurate Numerical Methods Using the Accelerated Spectral Deferred Correction for Solving Fractional Differential Equations1
A Robust Hybrid Spectral Method for Nonlocal Problems with Weakly Singular Kernels1
A Divergence-Free $P_k$ CDG Finite Element for the Stokes Equations on Triangular and Tetrahedral Meshes1
The Direct Discontinuous Galerkin Method with Explicit-Implicit-Null Time Discretizations for Nonlinear Diffusion Equations1
An Efficient Mapped WENO Scheme Using Approximate Constant Mapping1
A Second-Order Semi-Implicit Method for the Inertial Landau-Lifshitz-Gilbert Equation1
Richardson Extrapolation of the Euler Scheme for Backward Stochastic Differential Equations1
A Modified Version of the PRESB Preconditioner for a Class of Non-Hermitian Complex Systems of Linear Equations1
New Splitting Algorithms for Multiplicative Noise Removal Based on Aubert-Aujol Model1
A Stabilized Physics Informed Neural Networks Method for Wave Equations1
A Fast Compact Block-Centered Finite Difference Method on Graded Meshes for Time-Fractional Reaction-Diffusion Equations and Its Robust Analysis1
Fourier Convergence Analysis for a Fokker-Planck Equation of Tempered Fractional Langevin-Brownian Motion1
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