OOIR: Observatory of International Research

Papers

(The TQCC of SIAM Journal on Numerical Analysis is 8. 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 2022-05-01 to 2026-05-01.)

Article	Citations
Rational Methods for Abstract, Linear, Nonhomogeneous Problems without Order Reduction	78
VEM-Nitsche Fully Discrete Polytopal Scheme for Frictionless Contact-Mechanics	55
Ultra-Weak Least Squares Discretizations for Unique Continuation and Cauchy Problems	54
Exponential Integrators for Quasilinear Wave-Type Equations	38
Nonlinear Eigenvalue Methods for Linear Pointwise Stability of Nonlinear Waves	38
Sparse Monte Carlo Method for Nonlocal Diffusion Problems	35
\({\boldsymbol{H^1}}\) -Norm Stability and Convergence of an L2-Type Method on Nonuniform Meshes for Subdiffusion Equation	33
A Robust Lower-Order Mixed Finite Element Method for a Strain Gradient Elastic Model	33
A Study of Numerical Pollution of the Decoupled Algorithm for the Convection Model in Superposed Fluid and Porous Layers	29
A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry	29
A Note on Sampling Recovery of Multivariate Functions in the Uniform Norm	28
Exponential Convergence of \(hp\)-FEM for the Integral Fractional Laplacian in Polygons	28
Numerical Reconstruction of Diffusion and Potential Coefficients from Two Observations: Decoupled Recovery and Error Estimates	28
Finite-Element Domain Approximation for Maxwell Variational Problems on Curved Domains	25
Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property	25
Multiple Relaxation Exponential Runge–Kutta Methods for the Nonlinear Schrödinger Equation	24
An Asymptotic Preserving Discontinuous Galerkin Method for a Linear Boltzmann Semiconductor Model	23
Inverse Wave-Number-Dependent Source Problems for the Helmholtz Equation	22
The Unique Continuation Problem for the Heat Equation Discretized with a High-Order Space-Time Nonconforming Method	22
Localized Implicit Time Stepping for the Wave Equation	22
Radial Complex Scaling for Anisotropic Scalar Resonance Problems	21
A Uniform Preconditioner for a Newton Algorithm for Total Variation Minimization and Minimum-Surface Problems	20
Numerical Staggered Schemes for the Free-Congested Navier--Stokes Equations	20
Quasi-Optimal Error Estimates for the Finite Element Approximation of Stable Harmonic Maps with Nodal Constraints	20
A Two-Level Block Preconditioned Jacobi–Davidson Method for Multiple and Clustered Eigenvalues of Elliptic Operators	19

Error Bounds for Discrete Minimizers of the Ginzburg–Landau Energy in the High-\(\boldsymbol{\kappa }\) Regime	19
\(p\) -Robust Equilibrated Flux Reconstruction in \(\boldsymbol{H}(\textrm{curl})\) Based on Local Minimizations: Application to a Posteriori Analysis of the Curl-Curl Problem	19
A Priori Error Bounds and Parameter Scalings for the Time-Relaxation Reduced Order Model	19
Secant Acceleration of Sequential Residual Methods for Solving Large-Scale Nonlinear Systems of Equations	19
A Posteriori Error Control for the Allen–Cahn Equation with Variable Mobility	19
POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution	18
A Convergent Interacting Particle Method and Computation of KPP Front Speeds in Chaotic Flows	18
A Priori Analysis of a Tensor ROM for Parameter Dependent Parabolic Problems	18
Locking-Free Hybrid High-Order Method for Linear Elasticity	17
Stability Results for Backward Nonlinear Diffusion Equations with Temporal Coupling Operator of Local and Nonlocal Type	17
Learning High-Dimensional McKean–Vlasov Forward-Backward Stochastic Differential Equations with General Distribution Dependence	16
Multistage Discontinuous Petrov–Galerkin Time-Marching Scheme for Nonlinear Problems	16
A Monotone Discretization for Integral Fractional Laplacian on Bounded Lipschitz Domains: Pointwise Error Estimates under Hölder Regularity	16
Primal Hybrid Finite Element Method for the Helmholtz Equation	16
A Probabilistic Scheme for Semilinear Nonlocal Diffusion Equations with Volume Constraints	15
Geometric Low-Rank Approximation of the Zeitlin Model of Incompressible Fluids on the Sphere	15
Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows	15
Uniform Substructuring Preconditioners for High Order FEM on Triangles and the Influence of Nodal Basis Functions	15
Numerical Methods for Integral Equations of the Second Kind with NonSmooth Solutions of Bounded Variation	15
Space-Time Virtual Elements for the Heat Equation	14
Optimal \(\boldsymbol{L}^{\boldsymbol{2}}\) Error Analysis of a Loosely Coupled Finite Element Scheme for Thin-Structure Interactions	14
Domain Decomposition Methods for the Monge–Ampère Equation	14
Convergent FEM for a Membrane Model of Liquid Crystal Polymer Networks	14
On Energy Laws and Stability of Runge--Kutta Methods for Linear Seminegative Problems	13
Numerical Methods and Analysis of Computing Quasiperiodic Systems	13
Adaptive Multilevel Monte Carlo for Probabilities	13
On the Approximability and Curse of Dimensionality of Certain Classes of High-Dimensional Functions	13
Convergence in Total Variation of the Euler--Maruyama Scheme Applied to Diffusion Processes with Measurable Drift Coefficient and Additive Noise	12
Perfectly Matched Layer Method for the Wave Scattering Problem by a Step-Like Surface	12
A Convergence Analysis Of Lawson’s Iteration For Computing Polynomial And Rational Minimax Approximations	12
Dispersion Analysis of CIP-FEM for the Helmholtz Equation	12
Scaling Optimized Hermite Approximation Methods	12
Convergence of the Hiptmair–Xu Preconditioner for \(\boldsymbol{H}\textbf{(curl)}\)-Elliptic Problems with Jump Coefficients (ii): Main Results	12
Conforming Finite Element DIVDIV Complexes and the Application for the Linearized Einstein--Bianchi System	12
Stability and Error Analysis of a Second-Order Consistent Splitting Scheme for the Navier–Stokes Equations	12
Discrete Hyperbolic Curvature Flow in the Plane	12
Analysis of Injection Operators in Geometric Multigrid Solvers for HDG Methods	12
Stein Variational Gradient Descent on Infinite-Dimensional Space and Applications to Statistical Inverse Problems	12
Convergence Analysis of Discrete High-Index Saddle Dynamics	11
On the Stability of Unconditionally Positive and Linear Invariants Preserving Time Integration Schemes	11
Discrete Gradient Structure of a Second-Order Variable-Step Method for Nonlinear Integro-Differential Models	11
An Energy-Stable Parametric Finite Element Method for the Planar Willmore Flow	11
Energy Stable and Maximum Bound Principle Preserving Schemes for the \(\boldsymbol {Q}\)-Tensor Flow of Liquid Crystals	11
A Fourth-Order Unfitted Characteristic Finite Element Method for Solving the Advection-Diffusion Equation on Time-Varying Domains	11
On the Coupling of the Curved Virtual Element Method with the One-Equation Boundary Element Method for 2D Exterior Helmholtz Problems	11
A New Class of Splitting Methods That Preserve Ergodicity and Exponential Integrability for the Stochastic Langevin Equation	11
A Local Discontinuous Galerkin Approximation for the \(\boldsymbol{p}\) -Navier–Stokes System, Part III: Convergence Rates for the Pressure	11
On the Error Rate of Importance Sampling with Randomized Quasi-Monte Carlo	11
Discrete Weak Duality of Hybrid High-Order Methods for Convex Minimization Problems	11
On a New Class of BDF and IMEX Schemes for Parabolic Type Equations	10

A Reynolds-SemiRobust Method with Hybrid Velocity and Pressure for the Unsteady Incompressible Navier–Stokes Equations	10
Randomized Least-Squares with Minimal Oversampling and Interpolation in General Spaces	10
Orthogonal Polynomial Approximation and Extended Dynamic Mode Decomposition in Chaos	10
Regularity Analysis and High-Order Time Stepping Scheme for Quasilinear Subdiffusion	10
The Lanczos Tau Framework for Time-Delay Systems: Padé Approximation and Collocation Revisited	10
Spectral Analysis of a Mixed Method for Linear Elasticity	10
Analysis and Application of Two Novel Finite Element Methods for Solving Ziolkowski’s PML Model in the Integro-Differential Form	10
On the Superconvergence of a Hybridizable Discontinuous Galerkin Method for the Cahn–Hilliard Equation	10
Geometric Ergodicity for Hamiltonian Monte Carlo on Compact Manifolds	10
Convolution Quadrature for the Quasilinear Subdiffusion Equation	10
Wasserstein Convergence Rates for Stochastic Particle Approximation of Boltzmann Models	10
\({H^m}\)-Conforming Virtual Elements in Arbitrary Dimension	10
Summation-by-Parts Operators for General Function Spaces	9
Higher-Order Convergence of Perfectly Matched Layers in Three-Dimensional Biperiodic Surface Scattering Problems	9
Analysis of a Filtered Time-Stepping Finite Element Method for Natural Convection Problems	9
Virtual Element Methods Without Extrinsic Stabilization	9
Improved High-Index Saddle Dynamics for Finding Saddle Points and Solution Landscape	9
Efficient Monte Carlo Method for Integral Fractional Laplacian in Multiple Dimensions	9
An Exponential Spectral Method Using VP Means for Semilinear Subdiffusion Equations with Rough Data	9
Numerical Analysis for Convergence of a Sample-Wise Backpropagation Method for Training Stochastic Neural Networks	9
ContHutch++: Stochastic Trace Estimation For Implicit Integral Operators	9
Second Order in Time Finite Element Schemes for Curve Shortening Flow and Curve Diffusion	9
Analysis of Preintegration Followed by Quasi–Monte Carlo Integration for Distribution Functions and Densities	9
Accuracy of the Ensemble Kalman Filter in the Near-Linear Setting	9
Preservation of Quadratic Invariants by Semiexplicit Symplectic Integrators for Nonseparable Hamiltonian Systems	9
Numerical Analysis of the Parallel Orbital-Updating Approach for Eigenvalue Problems	9
An Adaptive Spectral Method for Oscillatory Second-Order Linear ODEs with Frequency-Independent Cost	8
Convergence of Anisotropic Mesh Adaptation via Metric Optimization	8
Multilevel Monte Carlo Methods for the Dean–Kawasaki Equation from Fluctuating Hydrodynamics	8
Numerical Solution of Free Stochastic Differential Equations	8
The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems	8
Improved Uniform Error Bounds on Time-Splitting Methods for Long-Time Dynamics of the Nonlinear Klein--Gordon Equation with Weak Nonlinearity	8
Mixed Finite Element Methods for Linear Cosserat Equations	8
Second Order Exponential Splittings in the Presence of Unbounded and Time-Dependent Operators: Construction and Convergence	8
Error Estimation of the Relaxation Finite Difference Scheme for the Nonlinear Schrödinger Equation	8
Irrational-Window-Filter Projection Method and Application to Quasiperiodic Schrödinger Eigenproblems	8
Equations with Infinite Delay: Pseudospectral Discretization for Numerical Stability and Bifurcation in an Abstract Framework	8
Isoparametric Unfitted BDF--Finite Element Method for PDEs on Evolving Domains	8
A Variable Time Step Time Filter Algorithm for the Geothermal System	8
On Schrödingerization-Based Quantum Algorithms for Linear Dynamical Systems with Inhomogeneous Terms	8
Multiscale Hybrid-Mixed Methods for the Stokes and Brinkman Equations—A Priori Analysis	8