OOIR: Observatory of International Research

Papers

(The median citation count 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 2022-05-01 to 2026-05-01.)

Article	Citations
Simplified Explicit Exponential Runge-Kutta Methods Without Order Reduction	19
A Positivity-Preserving Finite Element Method for Quantum Drift-Diffusion Model	17
Mini-Batch Stochastic Conjugate Gradient Algorithms with Minimal Variance	16
An Accelerated Stochastic Trust Region Method for Stochastic Optimization	15
Adaptive Stochastic Meshfree Methods for Optimal Control Problem Governed by Random Elliptic Equations	14
Two-Grid Finite Element Method for Time-Fractional Nonlinear Schrödinger Equation	12
A Superlinearly Convergent Scheme for Multi-term Time-fractional Nonlinear Diffusion Equations with Initial Singularity	11
Optimal Point-Wise Error Estimate of Two Second-Order Accurate Finite Difference Schemes for the Heat Equation with Concentrated Capacity	10
Central Limit Theorem for Temporal Average of Backward Euler-Maruyama Method	10
A Conforming Quadratic Polygonal Element and Its Application to Stokes Equations	10
A New Coupled Subdiffusion Model and Its Partitioned Time-Stepping Algorithm	9
Augmented Subspace Scheme for Eigenvalue Problem by Weak Galerkin Finite Element Method	9
Theoretical Analysis of the Reproducing Kernel Gradient Smoothing Integration Technique in Galerkin Meshless Methods	8
Analysis of Two New Parareal Algorithms Based on Diagonalization for Time-Periodic Problems	8
Error Estimates of a Class of Serendipity Virtual Element Methods for Semilinear Parabolic Integro-Differential Equations on Curved Domains	7
Analysis of Multiphysics Finite Element Method for a Nonlinear Poroelasticity Model	6
A Uniform Convergent Petrov-Galerkin Method for a Class of Turning Point Problems	6
Numerical Approximation of the Invariant Distribution for a Class of Stochastic Damped Wave Equations	6
Optimal Error Estimates of the Local Discontinuous Galerkin Method with Generalized Numerical Fluxes for One-Dimensional KdV Type Equations	6
Proximal ADMM Approach for Image Restoration with Mixed Poisson-Gaussian Noise	5
Unconditionally Optimal Error Estimates of the Bilinear-Constant Scheme for Time-Dependent Navier-Stokes Equations	5
Stochastic Variational Inequality Approaches to the Stochastic Generalized Nash Equilibrium with Shared Constraints	5
The Nyström Method for Elastic Wave Scattering by Unbounded Rough Surfaces	5
Stability Analysis for Maximum Principle Preserving Explicit Isotropic Schemes of the Allen-Cahn Equation	5
A Priori Error Estimates for Obstacle Optimal Control Problem, Where the Obstacle Is the Control Itself	5

A Stochastic Trust-Region Framework for Policy Optimization	5
Computing Harmonic Maps and Conformal Maps on Point Clouds	5
Unconditional Convergence and Error Estimates of a Fully Discrete Finite Element Method for the Micropolar Navier-Stokes Equations	5
Analysis of Arbitrary High Order Spectral Volume Method for Hyperbolic Conservation Laws over Rectangular Meshes	4
Tensor Neural Network and Its Numerical Integration	4
Truncated Euler-Maruyama Method for Time-Changed Stochastic Differential Equations with Super-Linear State Variables and Hölder’s Continuous Time Variables	4
On the Adaptive Deterministic Block Coordinate Descent Method with Momentum for Solving Large Linear Least-Squares Problems	4
Second Order Unconditionally Stable and Convergent Linearized Scheme for a Fluid-Fluid Interaction Model	4
Uniform Error Bounds of a Conservative Compact Finite Difference Method for the Quantum Zakharov System in the Subsonic Limit Regime	4
A Nonlocal Kronecker-Basis-Representation Method for Low-Dose CT Sinogram Recovery	4
An Inexact Proximal DC Algorithm for the Large-Scale Cardinality Constrained Mean-Variance Model in Sparse Portfolio Selection	4
Convergence of Modified Truncated Euler-Maruyama Method for Stochastic Differential Equations with Hölder Diffusion Coefficients	4
On Finite Element Approximations to a Shape Gradient Flow in Shape Optimization of Elliptic Problems	4
Theoretical Analyses on Discrete Formulae of Directional Differentials in the Finite Point Method	4
Two Families of $n$-Rectangle Nonconforming Finite Elements for Sixth-Order Elliptic Equations	3
Error Analysis for Parabolic Optimal Control Problems with Measure Data in a Nonconvex Polygonal Domain	3
A Simple Error Estimate of Discontinuous Galerkin Methods for Elliptic Equations with Low Regularity	3
Elliptic Reconstruction and a Posteriori Error Estimates for Fully Discrete Semilinear Parabolic Optimal Control Problems	3
Invariant Region Preserving Reconstruction and Enhanced Stability of the Central Scheme in Two Dimensions	3
Uniform Error Bounds of an Energy-Preserving Exponential Wave Integrator Fourier Pseudo-Spectral Method for the Nonlinear Schrödinger Equation with Wave Operator and Weak Nonlinearity	3
Low-Rank Matrix Completion with Poisson Observations via Nuclear Norm and Total Variation Constraints	3
Characterizing the Rate of Convergence of the Augmented Lagrange Method for Nonlinear Programming	3
Stabilized Nonconforming Mixed Finite Element Method for Linear Elasticity on Rectangular or Cubic Meshes	3
Impulse Noise Removal by L1 Weighted Nuclear Norm Minimization	3
Legendre-Gauss-Radau Spectral Collocation Method for Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations	3
Space-Time Continuous and Time Discontinuous Galerkin Schemes Based on Isogeometric Analysis for Nonlinear Time-Fractional Partial Differential Equations	3
A SSLE-Type Algorithm of Quasi-Strongly Sub-Feasible Directions for Inequality Constrained Minimax Problems	3
Modified Split-Step Theta Method for Stochastic Differential Equations Driven by Fractional Brownian Motion	3
Simplified Explicit Exponential Runge-Kutta Methods Without Order Reduction	2
A High Order Scheme for Fractional Differential Equations with the Caputo-Hadamard Derivative	2
Numerical Analysis for Stochastic Time-Space Fractional Diffusion Equation Driven by Fractional Gaussian Noise	2
A New Hybridized Mixed Weak Galerkin Method for Second-Order Elliptic Problems	2
Stable and Robust Recovery of Approximately $k$-Sparse Signals with Partial Support Information in Noise Settings via Weighted $ℓ_p\ (0 < p ≤ 1)$ Minimization	2
Solving Systems of Phaseless Equations via Riemannian Optimization with Optimal Sampling Complexity	2
Image Super-Resolution Reconstruction by Huber Regularization and Tailored Finite Point Method	2
An SQP-Type Proximal Gradient Method for Composite Optimization Problems with Equality Constraints	2
An Energy-Stable Parametric Finite Element Method for Simulating Solid-State Dewetting Problems in Three Dimensions	2
Space-Time Deep Neural Network Approximations for High-Dimensional Partial Differential Equations	2
Stabilization-Free Virtual Element Method for the Transmission Eigenvalue Problem on Anisotropic Media	2
A Low Order Globally Divergence-Free WG Finite Element Method for Steady Thermally Coupled Incompressible MHD Flow	2
A Linearly-Implicit Energy-Preserving Algorithm for the Two-Dimensional Space-Fractional Nonlinear Schrödinger Equation Based on the SAV Approach	2
Chaotic Synchronization of Quaternionic Neural Networks with Time-Varying Delays and Its Application in Cryptosystem	2
A Hybrid Viscosity Approximation Method for a Common Solution of a General System of Variational Inequalities, an Equilibrium Problem, and Fixed Point Problems	2
Heavy Ball Flexible GMRES Method for Nonsymmetric Linear Systems	2
Knot Placement for B-Spline Curve Approximation via $L_{∞, 1}$-Norm and Differential Evolution Algorithm	2
On Polynomial PMLs for Helmholtz Scattering Problems with High Wave-numbers	2
Generalized Jacobi Spectral Galerkin Method for Fractional-Order Volterra Integro-Differential Equations with Weakly Singular Kernels	2
An Adaptive Algorithm for L1-Fidelity Color Image Restoration	2
Regularity Theory and Numerical Algorithm for the Time-Fractional Klein-Kramers Equation	2
Required Number of Iterations for Sparse Signal Recovery via Orthogonal Least Squares	2

Weak Convergence Analysis of a Splitting-up Method for Stochastic Differential Equations	2
The Nonconforming Crouzeix-Raviart Element Approximation and Two-Grid Discretizations for the Elastic Eigenvalue Problem	2
Uniform Sufficient Condition For the Recovery of Non-Strictly Block $k$-Sparse Signals by Weighted $ℓ_{2,p} $− $\alpha ℓ_{2,q}$ Nonconvex Minimization Method	2
A Newton-Type Globally Convergent Interior-Point Method to Solve Multi-Objective Optimization Problems	2
Crank-Nicolson Galerkin Approximations for Logarithmic Klein-Gordon Equation	2
A Stabilizer Free Weak Galerkin Finite Element Method for Brinkman Equations	2
High Oder Probabilistic Numerical Methods for Forward Backward Stochastic Differential Equations	2
General Full Implicit Strong Taylor Approximations for Stiff Stochastic Differential Equations	2
A Cell-Centered Multigrid Solver for the Finite Volume Discretization of Anisotropic Elliptic Interface Problems on Irregular Domains	2
The Truncated EM Method for Jump-Diffusion SDDEs with Super-Linearly Growing Diffusion and Jump Coefficients	2
A Novel Scheme for the Nonlinear Subdiffusion Equation with a Variable Exponent	2
A Hybrid Two-Level Finite Element Method for the Stationary Natural Convection Problem and Parallel Implementation	2
Estimation and Uncertainty Quantification for Piecewise Smooth Signal Recovery	2
Adaptive Virtual Element Method for Convection Dominated Diffusion Equations	2
Logistic Stochastic Differential Equations with Power-Law	2
An Indefinite-Proximal-Based Strictly Contractive Peaceman-Rachford Splitting Method	2
Variable Step-Size BDF3 Method for Allen-Cahn Equation	2
Stochastic Variance Reduced Gradient for Tensor Recovery	2
A Two-Grid Finite Element Approximation for Nonlinear Time Fractional Two-Term Mixed Sub-Diffusion and Diffusion Wave Equations	2
Analysis of Two Any Order Spectral Volume Methods for 1-D Linear Hyperbolic Equations with Degenerate Variable Coefficients	1
Compact Finite Difference Scheme for Some Sobolev Type Equations with Dirichlet Boundary Condition	1
A Linearly-Implicit Structure-Preserving Exponential Time Differencing Scheme for Hamiltonian PDEs	1
Reconstruction of Sparse Polynomials via Quasi-Orthogonal Matching Pursuit Method	1
A New Global Optimization Algorithm for Mixed-Integer Quadratically Constrained Quadratic Fractional Programming Problem	1
Stochastic Trust-Region Methods with Trust-Region Radius Depending on Probabilistic Models	1
Error Analysis of Stabilized Convex Splitting ${\rm BDF}k$ Method for the Molecular Beam Epitaxial Model with Slope Selection	1
Numerical Ergodicity and Uniform Estimate of Monotone SPDEs Driven by Multiplicative Noise	1
An Efficient Finite Difference Method for Stochastic Linear Second-Order Boundary-Value Problems Driven by Additive White Noises	1
Long-Time Oscillatory Energy Conservation of Total Energy-Preserving Methods for Highly Oscillatory Hamiltonian Systems	1
A Finite Volume Method Preserving Maximum Principle for the Conjugate Heat Transfer Problems with General Interface Conditions	1
A New projection-Based Stabilized Virtual Element Approximation for Three-Field Poroelasticity	1
Error Analysis of Virtual Element Methods for the Time-Dependent Poisson-Nernst-Planck Equations	1
Simultaneously Imaging an Inhomogeneous Conductive Medium and Various Impenetrable Obstacles	1
Superconvergence Error Estimates of the Lowest-Order Raviart-Thomas Galerkin Mixed Finite Element Method for Nonlinear Thermistor Equations	1
Generalized Jacobi Spectral Galerkin Method for Fractional-Order Volterra Integro-Differential Equations	1
On the Superconvergence of Collocation Methods Based on Two Post-Processing Techniques for Fractional Integro-Differential Equations with Weakly Singular Kernels	1
High Performance Parallel Block Supernode Direct Solver for Stiffness Equation	1
Quantum Simulation of a Class of Highly-Oscillatory Transport Equations via Schrödingerisation	1
Spectral Solutions of a Fractional-Order Mathematical Model for Lung Cancer, Sensitivity Analysis, and Feedback Control	1
A Space-Time Trefftz DG Method for the Second Order Time-Dependent Maxwell System in Anisotropic Media	1
Nonmonotone Local Minimax Methods for Finding Multiple Saddle Points	1
A Finite Difference Method for Two Dimensional Elliptic Interface Problems with Imperfect Contact	1
Gradient Flow Finite Element Discretisations with Energy-Based Adaptivity for Excited States of Schrödinger's Equation	1
Annealed Importance Sampling for Ising Models with Mixed Boundary Conditions	1
A Trust-Region Method for Nonsmooth Nonconvex Optimization	1
Stable Recovery of Sparse Signals with Non-Convex Weighted $r$-Norm Minus 1-Norm	1
A Perturbed Quasi-Newton Algorithm for Bound-Constrained Global Optimization	1
A Novel TGMFECN Dimension Reduction Method Based on POD for the Improved Nonlinear Fourth-Order Cahn-Hilliard Equations	1
A Multiple-Invariants Preserving Scheme for Modified Two-Component Euler-Poincaré Equations	1
Optimal Control for Multiscale Elliptic Equations with Rough Coefficients	1
A Restarted and Randomized Algorithm for Evaluating Energy of Extremely Large-Scale Graph	1
A Deep Learning Based Discontinuous Galerkin Method for Hyperbolic Equations with Discontinuous Solutions and Random Uncertainties	1
Positivity-Preserving Local Discontinuous Galerkin Method for Pattern Formation Dynamical Model in Polymerizing Actin Flocks	1
Binary Least Squares: An Algorithm for Binary Sparse Signal Recovery	1
Unconditionally Optimal Error Analysis of the Second-Order BDF Finite Element Method for the Kuramoto-Tsuzuki Equation	1
Stability and Error Estimates of Ultra-Weak Local Discontinuous Galerkin Method with Spectral Deferred Correction Time-Marching for PDEs with High Order Spatial Derivatives	1
Reconstructed Discontinuous Approximation to Stokes Equation in a Sequential Least Squares Formulation	1
Stochastic Proximal Linearized ADMM for Sparse Distribution Control Problem Constrained by Random Elliptic Equation	1
Two-Step Scheme for Backward Stochastic Differential Equations	1
Greedy Local Refinement for Analysis-Suitable ${\\rm T}$-Splines with Linear Complexity	1
Error Analysis of the Second-Order Serendipity Virtual Element Method for Semilinear Pseudo-Parabolic Equations on Curved Domains	1
Three Anderson Accelerated Iterative Methods for Solving Large Scale Linear Equations	1
Inversion of Trace Formulas for a Sturm-Liouville Operator	1
A Posteriori Error Analysis of the PML Finite Volume Method for the Scattering Problem by a Periodic Chiral Structure	1
A Fast Free Memory Method for an Efficient Computation of Convolution Kernels	1
A Scalar Auxiliary Variable (SAV) Finite Element Numerical Scheme for the Cahn-Hilliard-Hele-Shaw System with Dynamic Boundary Conditions	1
Unconditional Superconvergent Analysis of Quasi-Wilson Element for Benjamin-Bona-Mahoney Equation	1
Superconvergence Analysis of a BDF-Galerkin FEM for the Nonlinear Klein-Gordon-Schrödinger Equations with Damping Mechanism	1
Monotonicity Corrections for Nine-Point Scheme of Diffusion Equations	1
A New Finite Element Space for Expanded Mixed Finite Element Method	1
Two Novel Classes of Arbitrary High-Order Structure-Preserving Algorithms for Canonical Hamiltonian Systems	1
An Oscillation-Free Discontinuous Galerkin Method for a Nonlinear Stochastic Convection-Dominated Diffusion Problem and Its Error Analysis	1
An Inertial-Relaxed Three-Term Conjugate Gradient Projection Method for Large-Scale Unconstrained Nonlinear Pseudo-Monotone Equations with Applications	1
Stationary Distribution of Stochastic Hopfield Neural Network with Cross-Diffusion Under Time-Varying Modified Markov Switching	1
Alternating Optimization Method for Isogeometric Topology Optimization with Stress Constraints	1
Invariants-Preserving Du Fort-Frankel Schemes and Their Analyses for Nonlinear Schrödinger Equations with Wave Operator	1
Solving Nonlinear Delay-Differential-Algebraic Equations with Singular Perturbation via Block Boundary Value Methods	1
Exponential Time Differencing-Padé Finite Element Method for Nonlinear Convection-Diffusion-Reaction Equations with Time Constant Delay	1
Discrete Energy Analysis of the Third-Order Variable-Step BDF Time-Stepping for Diffusion Equations	1
Superlinearly Convergent Algorithms for Stochastic Time-Fractional Equations Driven by White Noise	1