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 2020-05-01 to 2024-05-01.)

Article	Citations
Relu Deep Neural Networks and Linear Finite Elements	63
Computational Multiscale Methods for Linear Heterogeneous Poroelasticity	16
How to Prove the Discrete Reliability for Nonconforming Finite Element Methods	16
Deep ReLU Networks Overcome the Curse of Dimensionality for Generalized Bandlimited Functions	15
Theoretical Analysis of the Reproducing Kernel Gradient Smoothing Integration Technique in Galerkin Meshless Methods	15
An Improved Two-Grid Technique for the Nonlinear Time-Fractional Parabolic Equation Based on the Block-Centered Finite Difference Method	10
A Mixed Virtual Element Method for The Boussinesq Problem on Polygonal meshes	9
Physics Informed Neural Networks (PINNs) For Approximating Nonlinear Dispersive PDEs	9
An Error Analysis Method SPP-BEAM and a Construction Guideline of Nonconforming Finite Elements for Fourth Order Elliptic Problems	7
Two-Variable Jacobi Polynomials for Solving Some Fractional Partial Differential Equations	6
Accelerated Optimization with Orthogonality Constraints	5
Superconvergence Analysis of Low Order Nonconforming Mixed Finite Element Methods for Time-Dependent Navier-Stokes Equations	5
Two Novel Gradient Methods with Optimal Step Sizes	5
Boundary Value Methods for Caputo Fractional Differential Equations	5
An Efficient ADER Discontinuous Galerkin Scheme for Directly Solving Hamilton-Jacobi Equation	5
A Two-Grid Finite Element Approximation for Nonlinear Time Fractional Two-Term Mixed Sub-Diffusion and Diffusion Wave Equations	5
Discrete Energy Analysis of the Third-Order Variable-Step BDF Time-Stepping for Diffusion Equations	5
Stable Boundary Conditions and Discretization for $P_N$ Equations	4
Second Order Unconditionally Stable and Convergent Linearized Scheme for a Fluid-Fluid Interaction Model	4
Solving Systems of Quadratic Equations Via Exponential-Type Gradient Descent Algorithm	4
Variational Discretization of A Control-Constrained Parabolic Bang-Bang Optimal Control Problem	4
Stochastic Trust-Region Methods with Trust-Region Radius Depending on Probabilistic Models	4
Unconditionally Optimal Error Estimates of the Bilinear-Constant Scheme for Time-Dependent Navier-Stokes Equations	4
Recovery Based Finite Element Method for Biharmonic Equation in 2D	4
A Fully Discrete Implicit-Explicit Finite Element Method for Solving the Fitzhugh-Nagumo Model	3

Quadrature Methods for Highly Oscillatory Singular Integrals	3
Robust Inexact Alternating Optimization for Matrix Completion with Outliers	3
On Distributed $H^1$ Shape Gradient Flows in Optimal Shape Design of Stokes Flows: Convergence Analysis and Numerical Applications	3
Sub-Optimal Convergence of Discontinuous Galerkin Methods with Central Fluxes for Linear Hyperbolic Equations with Even Degree Polynomial Approximations	3
The Shifted-Inverse Power Weak Galerkin Method for Eigenvalue Problems	3
Stable Recovery of Sparse Signals With Non-Convex Weighted $r$-Norm Minus 1-Norm	3
On New Strategies to Control the Accuracy of WENO Algorithm Close to Discontinuities II: Cell Averages and Multiresolution	3
Convergence Rate of the Truncated Euler-Maruyama Method for Neutral Stochastic Differential Delay Equations with Markovian Switching	3
The Quadratic Specht Triangle	3
Piecewise Sparse Recovery Via Piecewise Inverse Scale Space Algorithm with Deletion Rule	3
Exponential Tikhonov Regularization Method for Solving an Inverse Source Problem of Time Fractional Diffusion Equation	3
A New Approximation Algorithm for the Matching Distance in Multidimensional Persistence	3
The Random Batch Method for N-Body Quantum Dynamics	3
Stability Analysis of the Split-Step Theta Method for Nonlinear Regime-Switching Jump Systems	3
An Energy-Stable Parametric Finite Element Method for Simulating Solid-State Dewetting Problems in Three Dimensions	2
An $L^{\infty}$ Second Order Cartesian Method for 3D Anisotropic Interface Problems	2
Efficient Linear Schemes with Unconditional Energy Stability for the Phase Field Model of Solid-State Dewetting Problems	2
Image Denoising Via Time-Delay Regularization Coupled Nonlinear Diffusion Equations	2
Corner-Cutting Subdivision Surfaces of General Degrees with Parameters	2
A Balanced Oversampling Finite Element Method for Elliptic Problems with Observational Boundary Data	2
Estimation and Uncertainty Quantification for Piecewise Smooth Signal Recovery	2
The Plateau-Bézier Problem with Weak-Area Functional	2
Accurate and Efficient Image Reconstruction from Multiple Measurements of Fourier Samples	2
Two-Grid Algorithm of $H^{1}$-Galerkin Mixed Finite Element Methods for Semilinear Parabolic Integro-Differential Equations	2
The Wasserstein-Fisher-Rao Metric for Waveform Based Earthquake Location	2
A High-Order Accuracy Method for Solving the Fractional Diffusion Equations	2
Local Pressure Correction for the Stokes System	2
Strong Convergence of the Euler-Maruyama Method for Nonlinear Stochastic Volterra Integral Equations with Time-Dependent Delay	2
A Fast Compact Difference Method for Two-Dimensional Nonlinear Space-Fractional Complex Ginzburg-Landau Equations	2
Local Gaussian-Collocation Scheme to Approximate the Solution of Nonlinear Fractional Differential Equations Using Volterra Integral Equations	2
Constraint-Preserving Energy-Stable Scheme for the 2D Simplified Ericksen-Leslie System	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
An Indefinite-Proximal-Based Strictly Contractive Peaceman-Rachford Splitting Method	2
A C<sup>0</sup> -Weak Galerkin Finite Element Method for the Two-Dimensional Navier-Stokes Equations in Stream-Function Formulation	2
A Robust Discretization of the Reissner-Mindlin Plate with Arbitrary Polynomial Degree	2
Primal-Dual Path-Following Methods and the Trust-Region Updating Strategy for Linear Programming with Noisy Data	2
Uniform Stability and Error Analysis for Some Discontinuous Galerkin Methods	2
A New Adaptive Subspace Minimization Three-Term Conjugate Gradient Algorithm for Unconstrained Optimization	2
Image Restoration under Cauchy Noise with Sparse Representation Prior and Total Generalized Variation	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