OOIR: Observatory of International Research

Papers

(The TQCC of Journal of Computational Mathematics is 1. 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 2020-03-01 to 2024-03-01.)

Article	Citations
Relu Deep Neural Networks and Linear Finite Elements	61
Deep ReLU Networks Overcome the Curse of Dimensionality for Generalized Bandlimited Functions	15
How to Prove the Discrete Reliability for Nonconforming Finite Element Methods	15
Computational Multiscale Methods for Linear Heterogeneous Poroelasticity	14
Theoretical Analysis of the Reproducing Kernel Gradient Smoothing Integration Technique in Galerkin Meshless Methods	13
An Improved Two-Grid Technique for the Nonlinear Time-Fractional Parabolic Equation Based on the Block-Centered Finite Difference Method	10
Physics Informed Neural Networks (PINNs) For Approximating Nonlinear Dispersive PDEs	9
A Mixed Virtual Element Method for The Boussinesq Problem on Polygonal meshes	8
An Error Analysis Method SPP-BEAM and a Construction Guideline of Nonconforming Finite Elements for Fourth Order Elliptic Problems	7
Boundary Value Methods for Caputo Fractional Differential Equations	5
Two-Variable Jacobi Polynomials for Solving Some Fractional Partial Differential Equations	5
Two Novel Gradient Methods with Optimal Step Sizes	5
An Efficient ADER Discontinuous Galerkin Scheme for Directly Solving Hamilton-Jacobi Equation	5
Stable Boundary Conditions and Discretization for $P_N$ Equations	4
Superconvergence Analysis of Low Order Nonconforming Mixed Finite Element Methods for Time-Dependent Navier-Stokes Equations	4
A Two-Grid Finite Element Approximation for Nonlinear Time Fractional Two-Term Mixed Sub-Diffusion and Diffusion Wave Equations	4
Recovery Based Finite Element Method for Biharmonic Equation in 2D	4
Solving Systems of Quadratic Equations Via Exponential-Type Gradient Descent Algorithm	4
Discrete Energy Analysis of the Third-Order Variable-Step BDF Time-Stepping for Diffusion Equations	4
Robust Inexact Alternating Optimization for Matrix Completion with Outliers	3
The Random Batch Method for N-Body Quantum Dynamics	3
Sub-Optimal Convergence of Discontinuous Galerkin Methods with Central Fluxes for Linear Hyperbolic Equations with Even Degree Polynomial Approximations	3
Piecewise Sparse Recovery Via Piecewise Inverse Scale Space Algorithm with Deletion Rule	3
Quadrature Methods for Highly Oscillatory Singular Integrals	3
Second Order Unconditionally Stable and Convergent Linearized Scheme for a Fluid-Fluid Interaction Model	3

On New Strategies to Control the Accuracy of WENO Algorithm Close to Discontinuities II: Cell Averages and Multiresolution	3
Variational Discretization of A Control-Constrained Parabolic Bang-Bang Optimal Control Problem	3
Stability Analysis of the Split-Step Theta Method for Nonlinear Regime-Switching Jump Systems	3
A Fully Discrete Implicit-Explicit Finite Element Method for Solving the Fitzhugh-Nagumo Model	3
Accelerated Optimization with Orthogonality Constraints	3
A New Approximation Algorithm for the Matching Distance in Multidimensional Persistence	3
On Distributed $H^1$ Shape Gradient Flows in Optimal Shape Design of Stokes Flows: Convergence Analysis and Numerical Applications	3
The Quadratic Specht Triangle	3
Stochastic Trust-Region Methods with Trust-Region Radius Depending on Probabilistic Models	3
Exponential Tikhonov Regularization Method for Solving an Inverse Source Problem of Time Fractional Diffusion Equation	3
Unconditionally Optimal Error Estimates of the Bilinear-Constant Scheme for Time-Dependent Navier-Stokes Equations	3
Local Pressure Correction for the Stokes System	2
The Shifted-Inverse Power Weak Galerkin Method for Eigenvalue Problems	2
Corner-Cutting Subdivision Surfaces of General Degrees with Parameters	2
Image Restoration under Cauchy Noise with Sparse Representation Prior and Total Generalized Variation	2
Constraint-Preserving Energy-Stable Scheme for the 2D Simplified Ericksen-Leslie System	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
Efficient Linear Schemes with Unconditional Energy Stability for the Phase Field Model of Solid-State Dewetting Problems	2
Uniform Stability and Error Analysis for Some Discontinuous Galerkin Methods	2
A Fast Compact Difference Method for Two-Dimensional Nonlinear Space-Fractional Complex Ginzburg-Landau Equations	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
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
A Robust Discretization of the Reissner-Mindlin Plate with Arbitrary Polynomial Degree	2
A High-Order Accuracy Method for Solving the Fractional Diffusion Equations	2
Image Denoising Via Time-Delay Regularization Coupled Nonlinear Diffusion Equations	2
Strong Convergence of the Euler-Maruyama Method for Nonlinear Stochastic Volterra Integral Equations with Time-Dependent Delay	2
A New Adaptive Subspace Minimization Three-Term Conjugate Gradient Algorithm for Unconstrained Optimization	2
Local Gaussian-Collocation Scheme to Approximate the Solution of Nonlinear Fractional Differential Equations Using Volterra Integral Equations	2
Stable Recovery of Sparse Signals With Non-Convex Weighted $r$-Norm Minus 1-Norm	2
The Plateau-Bézier Problem with Weak-Area Functional	2
A C<sup>0</sup> -Weak Galerkin Finite Element Method for the Two-Dimensional Navier-Stokes Equations in Stream-Function Formulation	2
Convergence Rate of the Truncated Euler-Maruyama Method for Neutral Stochastic Differential Delay Equations with Markovian Switching	2
A Cell-Centered ALE Method with HLLC-2D Riemann Solver In 2D Cylindrical Geometry	1
Exponential Time Differencing-Padé Finite Element Method for Nonlinear Convection-Diffusion-Reaction Equations with Time Constant Delay	1
Construction of Bézier Surfaces from Prescribed Boundary	1
Stable and Robust Recovery of Approximately $k$-Sparse Signals with Partial Support Information in Noise Settings via Weighted $ℓ_p\ (0 < P ≤ 1)$ Minimization	1
Arbitrarily High-Order Energy-Conserving Methods for Hamiltonian Problems with Quadratic Holonomic Constraints	1
Unconditionally Optimal Error Analysis of the Second-Order BDF Finite Element Method for the Kuramoto-Tsuzuki Equation	1
Analysis of a Multi-Term Variable-Order Time-Fractional Diffusion Equation and Its Galerkin Finite Element Approximation	1
Convergence of Laplacian Spectra from Random Samples	1
Source Term Identification with Discontinuous Dual Reciprocity Approximation and Quasi-Newton Method from Boundary Observations	1
Two-Phase Image Segmentation by Nonconvex Nonsmooth Models with Convergent Alternating Minimization Algorithms	1
The Wasserstein-Fisher-Rao Metric for Waveform Based Earthquake Location	1
A New Stabilized Finite Element Method for Solving Transient Navier-Stokes Equations with High Reynolds Number	1
Heavy Ball Flexible GMRES Method for Nonsymmetric Linear Systems	1
Required Number of Iterations for Sparse Signal Recovery via Orthogonal Least Squares	1
Achieving Adversarial Robustness Requires An Active Teacher	1

Developable Surface Patches Bounded by NURBS Curves	1
An $L^{\infty}$ Second Order Cartesian Method for 3D Anisotropic Interface Problems	1
A Stochastic Moving Balls Approximation Method over a Smooth Inequality Constraint	1
Enhanced Block-Sparse Signal Recovery Performance Via Truncated ℓ<sub>2</sub>/ℓ<sub>1−2</sub> Minimization	1
Primal-Dual Path-Following Methods and the Trust-Region Updating Strategy for Linear Programming with Noisy Data	1
A Stochastic Algorithm for Fault Inverse Problems in Elastic Half Space with Proof of Convergence	1
Well-Conditioned Frames for High Order Finite Element Methods	1
Order Reduced Methods for Quad-Curl Equations with Navier Type Boundary Conditions	1
An Explicit Multistep Scheme for Mean-Field Forward-Backward Stochastic Differential Equations	1
Sharp Pointwise-in-time Error Estimate of L1 Scheme for Nonlinear Subdiffusion Equations	1
A Finite Element Algorithm for Nematic Liquid Crystal Flow Based on the Gauge-Uzawa Method	1
Can a Cubic Spline Curve Be G<sup>3</sup>	1
Superconvergence Analysis of a BDF-Galerkin FEM for the Nonlinear Klein-Gordon-Schr\"{o}dinger Equations with Damping Mechanism	1
Superconvergence Analysis of the Polynomial Preserving Recovery for Elliptic Problems with Robin Boundary Conditions	1
On Discrete Energy Dissipation of Maxwell'S Equations In a Cole-Cole Dispersive Medium	1
The Nonconforming Crouzeix-Raviart Element Approximation and Two-Grid Discretizations for the Elastic Eigenvalue Problem	1
The Convergence of Truncated Euler-Maruyama Method for Stochastic Differential Equations with Piecewise Continuous Arguments Under Generalized One-Sided Lipschitz Condition	1
An Acceleration Strategy for Randomize-Then-Optimize Sampling Via Deep Neural Networks	1
Error Analysis of a Stabilized Finite Element Method for the Generalized Stokes Problem	1
A Discretizing Levenberg-Marquardt Scheme for Solving Nonlinear Ill-Posed Integral Equations	1
Convergence of Numerical Schemes for a Conservation Equation with Convection and Degenerate Diffusion	1
A Multidimensional Filter SQP Algorithm for Nonlinear Programming	1
Numerical Analysis of a Nonlinear Singularly Perturbed Delay Volterra Integro-Differential Equation on an Adaptive Grid	1
Solving Nonlinear Delay-Differential-Algebraic Equations with Singular Perturbation Via Block Boundary Value Methods	1
Construction of Cubature Formulas via Bivariate Quadratic Spline Spaces over Non-Uniform Type-2 Triangulation	1
A Trust-region Method for Nonsmooth Nonconvex Optimization	1
An Adaptive Trust-Region Method for Generalized Eigenvalues of Symmetric Tensors	1
Convergence of Backpropagation with Momentum for Network Architectures with Skip Connections	1
A Hybrid Viscosity Approximation Method for a Common Solution of a General System of Variational Inequalities, an Equilibrium Problem, and Fixed Point Problems	1
Accelerated Symmetric ADMM and Its Applications in Large-Scale Signal Processing	1
Convergence and Mean-Square Stability of Exponential Euler Method for Semi-Linear Stochastic Delay Integro-Differential Equations	1
Sparse Recovery Based on the Generalized Error Function	1
Two-Stage Fourth-Order Accurate Time Discretizations for 1D and 2D Special Relativistic Hydrodynamics	1