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 2022-06-01 to 2026-06-01.)

Article	Citations
Mini-Batch Stochastic Conjugate Gradient Algorithms with Minimal Variance	20
An Accelerated Stochastic Trust Region Method for Stochastic Optimization	18
Adaptive Stochastic Meshfree Methods for Optimal Control Problem Governed by Random Elliptic Equations	16
A Positivity-Preserving Finite Element Method for Quantum Drift-Diffusion Model	15
Simplified Explicit Exponential Runge-Kutta Methods Without Order Reduction	15
A Superlinearly Convergent Scheme for Multi-term Time-fractional Nonlinear Diffusion Equations with Initial Singularity	12
Two-Grid Finite Element Method for Time-Fractional Nonlinear Schrödinger Equation	12
A Conforming Quadratic Polygonal Element and Its Application to Stokes Equations	10
Analysis of Two New Parareal Algorithms Based on Diagonalization for Time-Periodic Problems	10
Error Estimates of a Class of Serendipity Virtual Element Methods for Semilinear Parabolic Integro-Differential Equations on Curved Domains	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
Central Limit Theorem for Temporal Average of Backward Euler-Maruyama Method	8
A New Coupled Subdiffusion Model and Its Partitioned Time-Stepping Algorithm	8
Analysis of Multiphysics Finite Element Method for a Nonlinear Poroelasticity Model	7
Theoretical Analysis of the Reproducing Kernel Gradient Smoothing Integration Technique in Galerkin Meshless Methods	7
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
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
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

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
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
Second Order Unconditionally Stable and Convergent Linearized Scheme for a Fluid-Fluid Interaction Model	4
Two Families of $n$-Rectangle Nonconforming Finite Elements for Sixth-Order Elliptic Equations	4
Theoretical Analyses on Discrete Formulae of Directional Differentials in the Finite Point Method	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
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
Uniform Error Bounds of a Conservative Compact Finite Difference Method for the Quantum Zakharov System in the Subsonic Limit Regime	4
On Finite Element Approximations to a Shape Gradient Flow in Shape Optimization of Elliptic Problems	4
Truncated Euler-Maruyama Method for Time-Changed Stochastic Differential Equations with Super-Linear State Variables and Hölder’s Continuous Time Variables	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
Stabilized Nonconforming Mixed Finite Element Method for Linear Elasticity on Rectangular or Cubic Meshes	3
Space-Time Continuous and Time Discontinuous Galerkin Schemes Based on Isogeometric Analysis for Nonlinear Time-Fractional Partial Differential Equations	3
Invariant Region Preserving Reconstruction and Enhanced Stability of the Central Scheme in Two Dimensions	3
On the Adaptive Deterministic Block Coordinate Descent Method with Momentum for Solving Large Linear Least-Squares Problems	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
General Full Implicit Strong Taylor Approximations for Stiff Stochastic Differential Equations	3
Modified Split-Step Theta Method for Stochastic Differential Equations Driven by Fractional Brownian Motion	3
Impulse Noise Removal by L1 Weighted Nuclear Norm Minimization	3
Error Analysis for Parabolic Optimal Control Problems with Measure Data in a Nonconvex Polygonal Domain	3
A High Order Scheme for Fractional Differential Equations with the Caputo-Hadamard Derivative	3
Elliptic Reconstruction and a Posteriori Error Estimates for Fully Discrete Semilinear Parabolic Optimal Control Problems	3
Heavy Ball Flexible GMRES Method for Nonsymmetric Linear Systems	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
Legendre-Gauss-Radau Spectral Collocation Method for Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations	3
A Cell-Centered Multigrid Solver for the Finite Volume Discretization of Anisotropic Elliptic Interface Problems on Irregular Domains	2
High Order Probabilistic Numerical Methods For Forward Backward Stochastic Differential Equations	2
Adaptive Virtual Element Method for Convection Dominated Diffusion Equations	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
Variable Step-Size BDF3 Method for Allen-Cahn Equation	2
Estimation and Uncertainty Quantification for Piecewise Smooth Signal Recovery	2
Solving Systems of Phaseless Equations via Riemannian Optimization with Optimal Sampling Complexity	2
A Novel Scheme for the Nonlinear Subdiffusion Equation with a Variable Exponent	2
The Nonconforming Crouzeix-Raviart Element Approximation and Two-Grid Discretizations for the Elastic Eigenvalue Problem	2
A Linearly-Implicit Energy-Preserving Algorithm for the Two-Dimensional Space-Fractional Nonlinear Schrödinger Equation Based on the SAV Approach	2
An SQP-Type Proximal Gradient Method for Composite Optimization Problems with Equality Constraints	2
A Newton-Type Globally Convergent Interior-Point Method to Solve Multi-Objective Optimization Problems	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
An Indefinite-Proximal-Based Strictly Contractive Peaceman-Rachford Splitting Method	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
A Low Order Globally Divergence-Free WG Finite Element Method for Stead Thermally Coupled Incompressible MHD Flow	2
A Stabilizer Free Weak Galerkin Finite Element Method for Brinkman Equations	2
An Energy-Stable Parametric Finite Element Method for Simulating Solid-State Dewetting Problems in Three Dimensions	2

A Restarted and Randomized Algorithm for Evaluating Energy of Extremely Large-Scale Graph	2
Generalized Jacobi Spectral Galerkin Method for Fractional-Order Volterra Integro-Differential Equations with Weakly Singular Kernels	2
A Hybrid Two-Level Finite Element Method for the Stationary Natural Convection Problem and Parallel Implementation	2
Required Number of Iterations for Sparse Signal Recovery via Orthogonal Least Squares	2
Regularity Theory and Numerical Algorithm for the Time-Fractional Klein-Kramers Equation	2
Logistic Stochastic Differential Equations with Power-Law	2
Simplified Explicit Exponential Runge-Kutta Methods Without Order Reduction	2
Weak Convergence Analysis of a Splitting-up Method for Stochastic Differential Equations	2
Chaotic Synchronization of Quaternionic Neural Networks with Time-Varying Delays and Its Application in Cryptosystem	2
Numerical Analysis for Stochastic Time-Space Fractional Diffusion Equation Driven by Fractional Gaussian Noise	2
Knot Placement for B-Spline Curve Approximation via $L_{∞, 1}$-Norm and Differential Evolution Algorithm	2
Stochastic Variance Reduced Gradient for Tensor Recovery	2
Crank-Nicolson Galerkin Approximations for Logarithmic Klein-Gordon Equation	2
Stabilization-Free Virtual Element Method for the Transmission Eigenvalue Problem on Anisotropic Media	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
A Two-Grid Finite Element Approximation for Nonlinear Time Fractional Two-Term Mixed Sub-Diffusion and Diffusion Wave Equations	2
Image Super-Resolution Reconstruction by Huber Regularization and Tailored Finite Point Method	2
Space-Time Deep Neural Network Approximations for High-Dimensional Partial Differential Equations	2
A New Hybridized Mixed Weak Galerkin Method for Second-Order Elliptic Problems	2
Dynamic-Stabilization-Based Linear Schemes for the Allen-Cahn Equation with Degenerate Mobility	2