OOIR: Observatory of International Research

Papers

(The TQCC of Journal of Computational Mathematics 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 2022-08-01 to 2026-08-01.)

Article	Citations
Mini-Batch Stochastic Conjugate Gradient Algorithms with Minimal Variance	21
An Accelerated Stochastic Trust Region Method for Stochastic Optimization	19
Adaptive Stochastic Meshfree Methods for Optimal Control Problem Governed by Random Elliptic Equations	18
Two-Grid Finite Element Method for Time-Fractional Nonlinear Schrödinger Equation	15
A Positivity-Preserving Finite Element Method for Quantum Drift-Diffusion Model	15
Analysis of Two New Parareal Algorithms Based on Diagonalization for Time-Periodic Problems	12
Theoretical Analysis of the Reproducing Kernel Gradient Smoothing Integration Technique in Galerkin Meshless Methods	12
Simplified Explicit Exponential Runge-Kutta Methods Without Order Reduction	12
Error Estimates of a Class of Serendipity Virtual Element Methods for Semilinear Parabolic Integro-Differential Equations on Curved Domains	11
A Superlinearly Convergent Scheme for Multi-term Time-fractional Nonlinear Diffusion Equations with Initial Singularity	11
Central Limit Theorem for Temporal Average of Backward Euler-Maruyama Method	11
Augmented Subspace Scheme for Eigenvalue Problem by Weak Galerkin Finite Element Method	9
Optimal Point-Wise Error Estimate of Two Second-Order Accurate Finite Difference Schemes for the Heat Equation with Concentrated Capacity	8
A New Coupled Subdiffusion Model and Its Partitioned Time-Stepping Algorithm	7
A Priori Error Estimates for Obstacle Optimal Control Problem, Where the Obstacle Is the Control Itself	7
Optimal Error Estimates of the Local Discontinuous Galerkin Method with Generalized Numerical Fluxes for One-Dimensional KdV Type Equations	7
A Uniform Convergent Petrov-Galerkin Method for a Class of Turning Point Problems	6
Stability Analysis for Maximum Principle Preserving Explicit Isotropic Schemes of the Allen-Cahn Equation	6
Stochastic Variational Inequality Approaches to the Stochastic Generalized Nash Equilibrium with Shared Constraints	6
Numerical Approximation of the Invariant Distribution for a Class of Stochastic Damped Wave Equations	6
Analysis of Arbitrary High Order Spectral Volume Method for Hyperbolic Conservation Laws over Rectangular Meshes	5
A Stochastic Trust-Region Framework for Policy Optimization	5
Computing Harmonic Maps and Conformal Maps on Point Clouds	5
Uniform Error Bounds of a Conservative Compact Finite Difference Method for the Quantum Zakharov System in the Subsonic Limit Regime	5
Proximal ADMM Approach for Image Restoration with Mixed Poisson-Gaussian Noise	5

Analysis of Multiphysics Finite Element Method for a Nonlinear Poroelasticity Model	5
Convergence of Modified Truncated Euler-Maruyama Method for Stochastic Differential Equations with Hölder Diffusion Coefficients	5
The Nyström Method for Elastic Wave Scattering by Unbounded Rough Surfaces	5
Unconditional Convergence and Error Estimates of a Fully Discrete Finite Element Method for the Micropolar Navier-Stokes Equations	5
Impulse Noise Removal by L1 Weighted Nuclear Norm Minimization	4
Legendre-Gauss-Radau Spectral Collocation Method for Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations	4
Second Order Unconditionally Stable and Convergent Linearized Scheme for a Fluid-Fluid Interaction Model	4
Tensor Neural Network and Its Numerical Integration	4
Invariant Region Preserving Reconstruction and Enhanced Stability of the Central Scheme in Two Dimensions	4
Truncated Euler-Maruyama Method for Time-Changed Stochastic Differential Equations with Super-Linear State Variables and Hölder’s Continuous Time Variables	4
On Finite Element Approximations to a Shape Gradient Flow in Shape Optimization of Elliptic Problems	4
On the Adaptive Deterministic Block Coordinate Descent Method with Momentum for Solving Large Linear Least-Squares Problems	4
Two Families of $n$-Rectangle Nonconforming Finite Elements for Sixth-Order Elliptic Equations	4
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	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
Low-Rank Matrix Completion with Poisson Observations via Nuclear Norm and Total Variation Constraints	3
A Simple Error Estimate of Discontinuous Galerkin Methods for Elliptic Equations with Low Regularity	3
Dynamic-Stabilization-Based Linear Schemes for the Allen-Cahn Equation with Degenerate Mobility	3
The Lowest Equal-Order Multiphysics Finite Element Methods For A Biot Model With Secondary Consolidation	3
Simplified Explicit Exponential Runge-Kutta Methods Without Order Reduction	3
A High Order Scheme for Fractional Differential Equations with the Caputo-Hadamard Derivative	3
Modified Split-Step Theta Method for Stochastic Differential Equations Driven by Fractional Brownian Motion	3
Characterizing the Rate of Convergence of the Augmented Lagrange Method for Nonlinear Programming	3
A SSLE-Type Algorithm of Quasi-Strongly Sub-Feasible Directions for Inequality Constrained Minimax Problems	3
High Order Probabilistic Numerical Methods For Forward Backward Stochastic Differential Equations	3
General Full Implicit Strong Taylor Approximations for Stiff Stochastic Differential Equations	3
Error Analysis for Parabolic Optimal Control Problems with Measure Data in a Nonconvex Polygonal Domain	3
Space-Time Continuous and Time Discontinuous Galerkin Schemes Based on Isogeometric Analysis for Nonlinear Time-Fractional Partial Differential Equations	3
A Hybrid Viscosity Approximation Method for a Common Solution of a General System of Variational Inequalities, an Equilibrium Problem, and Fixed Point Problems	3
Heavy Ball Flexible GMRES Method for Nonsymmetric Linear Systems	3
Chaotic Synchronization of Quaternionic Neural Networks with Time-Varying Delays and Its Application in Cryptosystem	3
A Novel Scheme for the Nonlinear Subdiffusion Equation with a Variable Exponent	2
Solving Systems of Phaseless Equations via Riemannian Optimization with Optimal Sampling Complexity	2
Required Number of Iterations for Sparse Signal Recovery via Orthogonal Least Squares	2
Generalized Jacobi Spectral Galerkin Method for Fractional-Order Volterra Integro-Differential Equations with Weakly Singular Kernels	2
Adaptive Virtual Element Method for Convection Dominated Diffusion Equations	2
Stochastic Variance Reduced Gradient for Tensor Recovery	2
A Low Order Globally Divergence-Free WG Finite Element Method for Stead 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
On Polynomial PMLs for Helmholtz Scattering Problems with High Wave-numbers	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 Hybrid Two-Level Finite Element Method For The Stationary Natural Convection Problem And Parallel Implement	2
A Multiple-Invariants Preserving Scheme For Modified Two-Component Euler-Poincaré Equations	2
Superconvergence Error Estimates of the Lowest-Order Raviart-Thomas Galerkin Mixed Finite Element Method for Nonlinear Thermistor Equations	2
The Truncated EM Method for Jump-Diffusion SDDEs with Super-Linearly Growing Diffusion and Jump Coefficients	2
An Adaptive Algorithm for L1-Fidelity Color Image Restoration	2
Space-Time Deep Neural Network Approximations for High-Dimensional Partial Differential Equations	2
Weak Convergence Analysis of a Splitting-up Method for Stochastic Differential Equations	2
An Energy-Stable Parametric Finite Element Method for Simulating Solid-State Dewetting Problems in Three Dimensions	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
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
Regularity Theory and Numerical Algorithm for the Time-Fractional Klein-Kramers Equation	2
Image Super-Resolution Reconstruction by Huber Regularization and Tailored Finite Point Method	2
Error Analysis of Virtual Element Methods for the Time-Dependent Poisson-Nernst-Planck Equations	2
Estimation and Uncertainty Quantification for Piecewise Smooth Signal Recovery	2
Inverse Source Problem for a Subdiffusion Equation with Multiple Fractional Derivatives	2
An SQP-Type Proximal Gradient Method for Composite Optimization Problems with Equality Constraints	2
Logistic Stochastic Differential Equations with Power-Law	2
Numerical Analysis for Stochastic Time-Space Fractional Diffusion Equation Driven by Fractional Gaussian Noise	2
Stabilization-Free Virtual Element Method for the Transmission Eigenvalue Problem on Anisotropic Media	2
A Stabilizer Free Weak Galerkin Finite Element Method for Brinkman Equations	2
A Cell-Centered Multigrid Solver for the Finite Volume Discretization of Anisotropic Elliptic Interface Problems on Irregular Domains	2
Variable Step-Size BDF3 Method for Allen-Cahn Equation	2
The Nonconforming Crouzeix-Raviart Element Approximation and Two-Grid Discretizations for the Elastic Eigenvalue Problem	2
An Indefinite-Proximal-Based Strictly Contractive Peaceman-Rachford Splitting Method	2
A New Finite Element Space for Expanded Mixed Finite Element Method	2
A Finite Volume Method Preserving Maximum Principle for the Conjugate Heat Transfer Problems with General Interface Conditions	2