Journal of Computational Mathematics

Papers
(The TQCC of Journal of Computational Mathematics 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 2020-11-01 to 2024-11-01.)
ArticleCitations
Deep ReLU Networks Overcome the Curse of Dimensionality for Generalized Bandlimited Functions18
Theoretical Analysis of the Reproducing Kernel Gradient Smoothing Integration Technique in Galerkin Meshless Methods16
Physics Informed Neural Networks (PINNs) For Approximating Nonlinear Dispersive PDEs11
An Improved Two-Grid Technique for the Nonlinear Time-Fractional Parabolic Equation Based on the Block-Centered Finite Difference Method10
A Mixed Virtual Element Method for the Boussinesq Problem on Polygonal meshes9
Discrete Energy Analysis of the Third-Order Variable-Step BDF Time-Stepping for Diffusion Equations8
A Two-Grid Finite Element Approximation for Nonlinear Time Fractional Two-Term Mixed Sub-Diffusion and Diffusion Wave Equations7
Exponential Tikhonov Regularization Method for Solving an Inverse Source Problem of Time Fractional Diffusion Equation6
Superconvergence Analysis of Low Order Nonconforming Mixed Finite Element Methods for Time-Dependent Navier-Stokes Equations6
Two Novel Gradient Methods with Optimal Step Sizes6
Stochastic Trust-Region Methods with Trust-Region Radius Depending on Probabilistic Models5
Second Order Unconditionally Stable and Convergent Linearized Scheme for a Fluid-Fluid Interaction Model5
Boundary Value Methods for Caputo Fractional Differential Equations5
Sub-Optimal Convergence of Discontinuous Galerkin Methods with Central Fluxes for Linear Hyperbolic Equations with Even Degree Polynomial Approximations5
Accelerated Optimization with Orthogonality Constraints5
Unconditionally Optimal Error Estimates of the Bilinear-Constant Scheme for Time-Dependent Navier-Stokes Equations4
The Random Batch Method for $N$-Body Quantum Dynamics4
Stable Boundary Conditions and Discretization for $P_N$ Equations4
Two-Grid Finite Element Method for Time-Fractional Nonlinear Schrödinger Equation4
A New Adaptive Subspace Minimization Three-Term Conjugate Gradient Algorithm for Unconstrained Optimization3
Constraint-Preserving Energy-Stable Scheme for the 2D Simplified Ericksen-Leslie System3
On Distributed $H^1$ Shape Gradient Flows in Optimal Shape Design of Stokes Flows: Convergence Analysis and Numerical Applications3
Quadrature Methods for Highly Oscillatory Singular Integrals3
Stable and Robust Recovery of Approximately $k$-Sparse Signals with Partial Support Information in Noise Settings via Weighted $ℓ_p\ (0 < p ≤ 1)$ Minimization3
Stability Analysis of the Split-Step Theta Method for Nonlinear Regime-Switching Jump Systems3
Numerical Analysis of a Nonlinear Singularly Perturbed Delay Volterra Integro-Differential Equation on an Adaptive Grid3
Stable Recovery of Sparse Signals With Non-Convex Weighted $r$-Norm Minus 1-Norm3
Degree Elevation and Knot Insertion for Generalized Bézier Surfaces and Their Application to Isogeometric Analysis3
Sparse Recovery Based on the Generalized Error Function2
Two-Grid Algorithm of $H^{1}$-Galerkin Mixed Finite Element Methods for Semilinear Parabolic Integro-Differential Equations2
Heavy Ball Flexible GMRES Method for Nonsymmetric Linear Systems2
A Variational Analysis for the Moving Finite Element Method for Gradient Flows2
Uniform Stability and Error Analysis for Some Discontinuous Galerkin Methods2
Alikhanov Linearized Galerkin Finite Element Methods for Nonlinear Time-Fractional Schrödinger Equations2
Estimation and Uncertainty Quantification for Piecewise Smooth Signal Recovery2
A Linearly-Implicit Energy-Preserving Algorithm for the Two-Dimensional Space-Fractional Nonlinear Schrödinger Equation Based on the SAV Approach2
An Indefinite-Proximal-Based Strictly Contractive Peaceman-Rachford Splitting Method2
The Convergence of Truncated Euler-Maruyama Method for Stochastic Differential Equations with Piecewise Continuous Arguments Under Generalized One-Sided Lipschitz Condition2
The Wasserstein-Fisher-Rao Metric for Waveform Based Earthquake Location2
Strong Convergence of the Euler-Maruyama Method for Nonlinear Stochastic Volterra Integral Equations with Time-Dependent Delay2
A Fast Compact Difference Method for Two-Dimensional Nonlinear Space-Fractional Complex Ginzburg-Landau Equations2
The Nonconforming Crouzeix-Raviart Element Approximation and Two-Grid Discretizations for the Elastic Eigenvalue Problem2
Sharp Pointwise-in-Time Error Estimate of L1 Scheme for Nonlinear Subdiffusion Equations2
An Energy-Stable Parametric Finite Element Method for Simulating Solid-State Dewetting Problems in Three Dimensions2
An $L^{\infty}$ Second Order Cartesian Method for 3D Anisotropic Interface Problems2
Primal-Dual Path-Following Methods and the Trust-Region Updating Strategy for Linear Programming with Noisy Data2
Image Restoration under Cauchy Noise with Sparse Representation Prior and Total Generalized Variation2
Local Gaussian-Collocation Scheme to Approximate the Solution of Nonlinear Fractional Differential Equations Using Volterra Integral Equations2
Conservative Conforming and Nonconforming VEMs for Fourth Order Nonlinear Schrödinger Equations with Trapped Term1
Well-Conditioned Frames for High Order Finite Element Methods1
A Stochastic Algorithm for Fault Inverse Problems in Elastic Half Space with Proof of Convergence1
Analysis of a Multi-Term Variable-Order Time-Fractional Diffusion Equation and Its Galerkin Finite Element Approximation1
Construction of Cubature Formulas via Bivariate Quadratic Spline Spaces over Non-Uniform Type-2 Triangulation1
Semi-Implicit Spectral Deferred Correction Methods Based on Second-Order Time Integration Schemes for Nonlinear PDEs1
A Finite Element Algorithm for Nematic Liquid Crystal Flow Based on the Gauge-Uzawa Method1
Solving Nonlinear Delay-Differential-Algebraic Equations with Singular Perturbation via Block Boundary Value Methods1
An Adaptive Trust-Region Method for Generalized Eigenvalues of Symmetric Tensors1
Generalized Jacobi Spectral Galerkin Method for Fractional-Order Volterra Integro-Differential Equations with Weakly Singular Kernels1
Strong Convergence of the Euler-Maruyama Method for a Class of Stochastic Volterra Integral Equations1
Tensor Neural Network and Its Numerical Integration1
Two-Step Scheme for Backward Stochastic Differential Equations1
A Discretizing Levenberg-Marquardt Scheme for Solving Nonlinear Ill-Posed Integral Equations1
Improved Harmonic Incompatibility Removal for Susceptibility Mapping via Reduction of Basis Mismatch1
Optimal Control for Multiscale Elliptic Equations with Rough Coefficients1
Near-Field Imaging of an Inhomogeneous Cavity with a Modified Factorization Method1
Exponential Time Differencing-Padé Finite Element Method for Nonlinear Convection-Diffusion-Reaction Equations with Time Constant Delay1
Arbitrarily High-Order Energy-Conserving Methods for Hamiltonian Problems with Quadratic Holonomic Constraints1
Banded $M$-Matrix Splitting Preconditioner for Riesz Space Fractional Reaction-Dispersion Equation1
Construction of Bézier Surfaces from Prescribed Boundary1
Convergence of Backpropagation with Momentum for Network Architectures with Skip Connections1
A Cell-Centered Multigrid Solver for the Finite Volume Discretization of Anisotropic Elliptic Interface Problems on Irregular Domains1
A Nonlocal Kronecker-Basis-Representation Method for Low-Dose CT Sinogram Recovery1
A Trust-Region Method for Nonsmooth Nonconvex Optimization1
The Truncated EM Method for Jump-Diffusion SDDEs with Super-Linearly Growing Diffusion and Jump Coefficients1
A Modified Weak Galerkin Finite Element Method for Singularly Perturbed Parabolic Convection-Diffusion-Reaction Problems1
Can a Cubic Spline Curve Be G<sup>3</sup>1
An Explicit Multistep Scheme for Mean-Field Forward-Backward Stochastic Differential Equations1
Convergence and Mean-Square Stability of Exponential Euler Method for Semi-Linear Stochastic Delay Integro-Differential Equations1
Semi-Proximal Point Method for Nonsmooth Convex-Concave Minimax Optimization1
A Hybrid Viscosity Approximation Method for a Common Solution of a General System of Variational Inequalities, an Equilibrium Problem, and Fixed Point Problems1
An Acceleration Strategy for Randomize-Then-Optimize Sampling via Deep Neural Networks1
Analysis of the Implicit-Explicit Ultra-Weak Discontinuous Galerkin Method for Convection-Diffusion Problems1
Implicit-Explicit Runge-Kutta-Rosenbrock Methods with Error Analysis for Nonlinear Stiff Differential Equations1
Required Number of Iterations for Sparse Signal Recovery via Orthogonal Least Squares1
Image Space Branch-Reduction-Bound Algorithm for Globally Solving the Sum of Affine Ratios Problem1
Unconditionally Optimal Error Analysis of the Second-Order BDF Finite Element Method for the Kuramoto-Tsuzuki Equation1
Efficient Nonnegative Matrix Factorization via Modified Monotone Barzilai-Borwein Method with Adaptive Step Sizes Strategy1
Unconditional Convergence and Error Estimates of a Fully Discrete Finite Element Method for the Micropolar Navier-Stokes Equations1
Convergence of Numerical Schemes for a Conservation Equation with Convection and Degenerate Diffusion1
Source Term Identification with Discontinuous Dual Reciprocity Approximation and Quasi-Newton Method from Boundary Observations1
A Stabilizer Free Weak Galerkin Finite Element Method for Brinkman Equations1
A $\theta$-$L$ Approach for Solving Solid-State Dewetting Problems1
A Newton-Type Globally Convergent Interior-Point Method to Solve Multi-Objective Optimization Problems1
Two-Phase Image Segmentation by Nonconvex Nonsmooth Models with Convergent Alternating Minimization Algorithms1
Achieving Adversarial Robustness Requires an Active Teacher1
Accelerated Symmetric ADMM and Its Applications in Large-Scale Signal Processing1
On Discrete Energy Dissipation of Maxwell's Equations in a Cole-Cole Dispersive Medium1
A Stochastic Trust-Region Framework for Policy Optimization1
Superconvergence Analysis of a BDF-Galerkin FEM for the Nonlinear Klein-Gordon-Schrödinger Equations with Damping Mechanism1
A Deep Learning Based Discontinuous Galerkin Method for Hyperbolic Equations with Discontinuous Solutions and Random Uncertainties1
Mixed Discontinuous Galerkin Method for Quasi-Newtonian Stokes Flows1
Strong Convergence of a Fully Discrete Finite Element Method for a Class of Semilinear Stochastic Partial Differential Equations with Multiplicative Noise1
Inversion of Trace Formulas for a Sturm-Liouville Operator1
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