OOIR: Observatory of International Research

Papers

(The TQCC of Numerical Mathematics-Theory Methods and Applications 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 2021-12-01 to 2025-12-01.)

Article	Citations
Symmetric-Adjoint and Symplectic-Adjoint Runge-Kutta Methods and Their Applications	42
A Generalized Selectively Relaxed Matrix Splitting Preconditioning Strategy for Three-Dimensional Flux-Limited Multi-Group Radiation Diffusion Equations	32
A Priori Error Estimate of Nonconforming Virtual Element Method for Convection Dominated Diffusion Equation	25
Character Modelling with Sketches and ODE-Based Shape Creation	23
Analysis and Optimal Control of a System of Hemivariational Inequalities Arising in Non-Stationary Navier-Stokes Equation with Thermal Effects	23
A Third Order Accurate in Time, BDF-Type Energy Stable Scheme for the Cahn-Hilliard Equation	14
L1/Local Discontinuous Galerkin Method for the Time-Fractional Stokes Equation	12
Sparse Deep Neural Network for Nonlinear Partial Differential Equations	10
New Extrapolation Modulus-Based Economical Cascadic Multigrid Method for Variational Inequality Problems with Nonlinear Source Terms	9
On Discontinuous and Continuous Approximations to Second-Kind Volterra Integral Equations	8
New Log Basis Functions with a Scaling Factor and Their Applications	8
Space-Time Decomposition of Kalman Filter	8
Fusing Infrared and Visible Images via a First-Order Model	7
Green Function Method for Quantum Transport Based on the Generalized Fourier Transform	6
Low Rank and Total Variation Based Two-Phase Method for Image Deblurring with Salt-and-Pepper Impulse Noise	6
Mixed Finite Element Methods for the Ferrofluid Model with Magnetization Paralleled to the Magnetic Field	6
Convergence Analysis of a Quasi-Monte Carlo-Based Deep Learning Algorithm for Solving Partial Differential Equations	5
Enhancing RBF-FD Efficiency for Highly Non-Uniform Node Distributions via Adaptivity	5
PI-VEGAN: Physics Informed Variational Embedding Generative Adversarial Networks for Stochastic Differential Equations	5
A Class of Efficient Multistep Methods for Forward Backward Stochastic Differential Equations	4
A Study on CFL Conditions for the DG Solution of Conservation Laws on Adaptive Moving Meshes	4
Convergence of Weak Galerkin Finite Element Method for Second Order Linear Wave Equation in Heterogeneous Media	4
HRW: Hybrid Residual and Weak Form Loss for Solving Elliptic Interface Problems with Neural Network	4
Efficient Hermite Spectral-Galerkin Methods for Nonlocal Diffusion Equations in Unbounded Domains	4
A Space-Time Extrapolation Cascadic Multigrid Method for 2D Linear Parabolic Problems	4

Manifold Triangular Mesh Editing Based on Finite Differences and Fourier Series	4
An Energy Stable Filtered Backward Euler Scheme for the MBE Equation with Slope Selection	4
Implicit-Explicit Time Discretization Schemes for a Class of Semilinear Wave Equations with Nonautonomous Dampings	4
Numerical Algorithm with Fourth-Order Spatial Accuracy for Solving the Time-Fractional Dual-Phase-Lagging Nanoscale Heat Conduction Equation	3
Semi-Discrete and Fully Discrete Weak Galerkin Finite Element Methods for a Quasistatic Maxwell Viscoelastic Model	3
Projection Improved SPAI Preconditioner for FGMRES	3
Stability and Error Analysis of SAV Semi-Discrete Scheme for Cahn-Hilliard-Navier-Stokes Model	3
A BDF2-SSAV Numerical Scheme with Fourier-Spectral Method for a Droplet Thin Film Coarsening Model	3
A Highly Efficient Adaptive Mesh Refinement Algorithm for the 1D Schrödinger-Poisson Problem	3
On Quadratic Wasserstein Metric with Squaring Scaling for Seismic Velocity Inversion	3
Analysis of Deep Ritz Methods for Semilinear Elliptic Equations	3
A Hybrid Scheme of Level Set and Diffuse Interface Methods for Simulating Multi-Phase Compressible Flows	2
Machine Learning-Based Bias Correction for the GEIM Model	2
Fourier Convergence Analysis for a Fokker-Planck Equation of Tempered Fractional Langevin-Brownian Motion	2
A Stabilized Physics Informed Neural Networks Method for Wave Equations	2
Solving the Helmholtz Equation by Sparse Fundamental Solution Neural Network	2
A Fast Compact Block-Centered Finite Difference Method on Graded Meshes for Time-Fractional Reaction-Diffusion Equations and Its Robust Analysis	2
A Novel Class of Energy-Preserving Runge-Kutta Methods for the Korteweg-de Vries Equation	2
The Discontinuous Galerkin Method by Divergence-Free Patch Reconstruction for Stokes Eigenvalue Problems	2
Entirely Exponential-Type Scheme (E2S) for Optimization Problems with Singularly Perturbed ODE Constraints: The Model Problem	2
Efficient and Accurate Numerical Methods Using the Accelerated Spectral Deferred Correction for Solving Fractional Differential Equations	2
A Highly Efficient USOR-like Iterative Method for the Stationary Wigner Equation with Scattering	2
A Robust Modified Weak Galerkin Finite Element Method for Reaction-Diffusion Equations	2
Two Globally Convergent Hybrid CG Methods with Adaptive Restart Strategy for Riemannian Optimization	2
A Robust Hybrid Spectral Method for Nonlocal Problems with Weakly Singular Kernels	2
Convergence Analysis of OT-Flow for Sample Generation	2
Convergent and Orthogonality Preserving Schemes for Approximating the Kohn-Sham Orbitals	2