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 2021-11-01 to 2025-11-01.)

Article	Citations
Simplified Explicit Exponential Runge-Kutta Methods Without Order Reduction	20
Mini-Batch Stochastic Conjugate Gradient Algorithms with Minimal Variance	15
An Accelerated Stochastic Trust Region Method for Stochastic Optimization	14
A Positivity-Preserving Finite Element Method for Quantum Drift-Diffusion Model	11
Two-Grid Finite Element Method for Time-Fractional Nonlinear Schrödinger Equation	10
Adaptive Stochastic Meshfree Methods for Optimal Control Problem Governed by Random Elliptic Equations	10
Optimal Point-Wise Error Estimate of Two Second-Order Accurate Finite Difference Schemes for the Heat Equation with Concentrated Capacity	9
Augmented Subspace Scheme for Eigenvalue Problem by Weak Galerkin Finite Element Method	9
Analysis of Two New Parareal Algorithms Based on Diagonalization for Time-Periodic Problems	9
Error Estimates of a Class of Serendipity Virtual Element Methods for Semilinear Parabolic Integro-Differential Equations on Curved Domains	7
A Conforming Quadratic Polygonal Element and Its Application to Stokes Equations	6
A New Coupled Subdiffusion Model and Its Partitioned Time-Stepping Algorithm	6
Analysis of Multiphysics Finite Element Method for a Nonlinear Poroelasticity Model	6
Theoretical Analysis of the Reproducing Kernel Gradient Smoothing Integration Technique in Galerkin Meshless Methods	6
Stability Analysis for Maximum Principle Preserving Explicit Isotropic Schemes of the Allen-Cahn Equation	6
Central Limit Theorem for Temporal Average of Backward Euler-Maruyama Method	6
A Uniform Convergent Petrov-Galerkin Method for a Class of Turning Point Problems	5
Unconditional Convergence and Error Estimates of a Fully Discrete Finite Element Method for the Micropolar Navier-Stokes Equations	5
Numerical Approximation of the Invariant Distribution for a Class of Stochastic Damped Wave Equations	5
Optimal Error Estimates of the Local Discontinuous Galerkin Method with Generalized Numerical Fluxes for One-Dimensional KdV Type Equations	5
Stochastic Variational Inequality Approaches to the Stochastic Generalized Nash Equilibrium with Shared Constraints	5
Computing Harmonic Maps and Conformal Maps on Point Clouds	4
A Priori Error Estimates for Obstacle Optimal Control Problem, Where the Obstacle Is the Control Itself	4
Tensor Neural Network and Its Numerical Integration	4
Analysis of Arbitrary High Order Spectral Volume Method for Hyperbolic Conservation Laws Over Rectangular Meshes	4

Uniform Error Bounds of a Conservative Compact Finite Difference Method for the Quantum Zakharov System in the Subsonic Limit Regime	3
A Stochastic Trust-Region Framework for Policy Optimization	3
Truncated Euler-Maruyama Method for Time-Changed Stochastic Differential Equations with Super-Linear State Variables and Hölder’s Continuous Time Variables	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
Invariant Region Preserving Reconstruction and Enhanced Stability of the Central Scheme in Two Dimensions	3
Second Order Unconditionally Stable and Convergent Linearized Scheme for a Fluid-Fluid Interaction Model	3
The Nyström Method for Elastic Wave Scattering by Unbounded Rough Surfaces	3
Convergence of Modified Truncated Euler-Maruyama Method for Stochastic Differential Equations with Hölder Diffusion Coefficients	3
On Finite Element Approximations to a Shape Gradient Flow in Shape Optimization of Elliptic Problems	3
Impulse Noise Removal by L1 Weighted Nuclear Norm Minimization	3
A Nonlocal Kronecker-Basis-Representation Method for Low-Dose CT Sinogram Recovery	3
Proximal ADMM Approach for Image Restoration with Mixed Poisson-Gaussian Noise	3
Unconditionally Optimal Error Estimates of the Bilinear-Constant Scheme for Time-Dependent Navier-Stokes Equations	3
Legendre-Gauss-Radau Spectral Collocation Method for Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations	3
An Inexact Proximal DC Algorithm for the Large-Scale Cardinality Constrained Mean-Variance Model in Sparse Portfolio Selection	3
Theoretical Analyses on Discrete Formulae of Directional Differentials in the Finite Point Method	3
On Polynomial PMLs for Helmholtz Scattering Problems with High Wave-numbers	2
A Newton-Type Globally Convergent Interior-Point Method to Solve Multi-Objective Optimization Problems	2
Knot Placement for B-Spline Curve Approximation via $L_{∞, 1}$-Norm and Differential Evolution Algorithm	2
A SSLE-Type Algorithm of Quasi-Strongly Sub-Feasible Directions for Inequality Constrained Minimax Problems	2
Elliptic Reconstruction and a Posteriori Error Estimates for Fully Discrete Semilinear Parabolic Optimal Control Problems	2
Space-Time Continuous and Time Discontinuous Galerkin Schemes Based on Isogeometric Analysis for Nonlinear Time-Fractional Partial Differential Equations	2
Error Analysis for Parabolic Optimal Control Problems with Measure Data in a Nonconvex Polygonal Domain	2
Two Families of $n$-Rectangle Nonconforming Finite Elements for Sixth-Order Elliptic Equations	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 Stabilizer Free Weak Galerkin Finite Element Method for Brinkman Equations	2
Crank-Nicolson Galerkin Approximations for Logarithmic Klein-Gordon Equation	2
Variable Step-Size BDF3 Method for Allen-Cahn Equation	2
A Linearly-Implicit Energy-Preserving Algorithm for the Two-Dimensional Space-Fractional Nonlinear Schrödinger Equation Based on the SAV Approach	2
An Indefinite-Proximal-Based Strictly Contractive Peaceman-Rachford Splitting Method	2
Adaptive Virtual Element Method for Convection Dominated Diffusion Equations	2
Simplified Explicit Exponential Runge-Kutta Methods Without Order Reduction	2
A High Order Scheme for Fractional Differential Equations with the Caputo-Hadamard Derivative	2
Heavy Ball Flexible GMRES Method for Nonsymmetric Linear Systems	2
Modified Split-Step Theta Method for Stochastic Differential Equations Driven by Fractional Brownian Motion	2
Stabilization-Free Virtual Element Method for the Transmission Eigenvalue Problem on Anisotropic Media	2
Stabilized Nonconforming Mixed Finite Element Method for Linear Elasticity on Rectangular or Cubic Meshes	2
Solving Systems of Phaseless Equations via Riemannian Optimization with Optimal Sampling Complexity	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
Numerical Analysis for Stochastic Time-Space Fractional Diffusion Equation Driven by Fractional Gaussian Noise	2
Physics Informed Neural Networks (PINNs) For Approximating Nonlinear Dispersive PDEs	2
An Energy-Stable Parametric Finite Element Method for Simulating Solid-State Dewetting Problems in Three Dimensions	2
Weak Convergence Analysis of a Splitting-Up Method for Stochastic Differential Equations	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
General Full Implicit Strong Taylor Approximations for Stiff Stochastic Differential Equations	2
Low-Rank Matrix Completion with Poisson Observations via Nuclear Norm and Total Variation Constraints	2
Analysis of a Fully Discrete Finite Element Method for Parabolic Interface Problems with Nonsmooth Initial Data	2
Chaotic Synchronization of Quaternionic Neural Networks with Time-Varying Delays and Its Application in Cryptosystem	2
A New Hybridized Mixed Weak Galerkin Method for Second-Order Elliptic Problems	2
An Adaptive Algorithm for L1-Fidelity Color Image Restoration	2

A Cell-Centered Multigrid Solver for the Finite Volume Discretization of Anisotropic Elliptic Interface Problems on Irregular Domains