OOIR: Observatory of International Research

Papers

(The TQCC of SIAM Journal on Numerical Analysis is 5. 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 2021-06-01 to 2025-06-01.)

Article	Citations
Robust Preconditioning and Error Estimates for Optimal Control of the Convection--Diffusion--Reaction Equation with Limited Observation in Isogeometric Analysis	53
Rational Methods for Abstract, Linear, Nonhomogeneous Problems without Order Reduction	39
A Robust Lower-Order Mixed Finite Element Method for a Strain Gradient Elastic Model	34
VEM-Nitsche Fully Discrete Polytopal Scheme for Frictionless Contact-Mechanics	26
Nonlinear Eigenvalue Methods for Linear Pointwise Stability of Nonlinear Waves	25
Gamma-Convergent Projection-Free Finite Element Methods for Nematic Liquid Crystals: The Ericksen Model	23
Exponential Convergence of $hp$-FEM for the Integral Fractional Laplacian in Polygons	23
Exponential Integrators for Quasilinear Wave-Type Equations	23
Numerical Reconstruction of Diffusion and Potential Coefficients from Two Observations: Decoupled Recovery and Error Estimates	23
Sparse Monte Carlo Method for Nonlocal Diffusion Problems	22
Finite-Element Domain Approximation for Maxwell Variational Problems on Curved Domains	22
Approximations of Energy Minimization in Cell-Induced Phase Transitions of Fibrous Biomaterials: $\Gamma$-Convergence Analysis	21
${\boldsymbol{H^1}}$ -Norm Stability and Convergence of an L2-Type Method on Nonuniform Meshes for Subdiffusion Equation	20
Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property	19
A Note on Sampling Recovery of Multivariate Functions in the Uniform Norm	18
Multiple Relaxation Exponential Runge–Kutta Methods for the Nonlinear Schrödinger Equation	17
An Asymptotic Preserving Discontinuous Galerkin Method for a Linear Boltzmann Semiconductor Model	16
A Study of Numerical Pollution of the Decoupled Algorithm for the Convection Model in Superposed Fluid and Porous Layers	15
A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry	15
Quasi-Optimal Error Estimates for the Finite Element Approximation of Stable Harmonic Maps with Nodal Constraints	15
A Uniform Preconditioner for a Newton Algorithm for Total Variation Minimization and Minimum-Surface Problems	14
Radial Complex Scaling for Anisotropic Scalar Resonance Problems	14
Inverse Wave-Number-Dependent Source Problems for the Helmholtz Equation	14
The Unique Continuation Problem for the Heat Equation Discretized with a High-Order Space-Time Nonconforming Method	13
Error Bounds for Discrete Minimizers of the Ginzburg–Landau Energy in the High-$\boldsymbol{\kappa }$ Regime	13

Numerical Staggered Schemes for the Free-Congested Navier--Stokes Equations	13
Localized Implicit Time Stepping for the Wave Equation	13
Locking-Free Hybrid High-Order Method for Linear Elasticity	13
$p$ -Robust Equilibrated Flux Reconstruction in $\boldsymbol{H}(\textrm{curl})$ Based on Local Minimizations: Application to a Posteriori Analysis of the Curl-Curl Problem	13
Secant Acceleration of Sequential Residual Methods for Solving Large-Scale Nonlinear Systems of Equations	12
Primal Hybrid Finite Element Method for the Helmholtz Equation	12
A Convergent Interacting Particle Method and Computation of KPP Front Speeds in Chaotic Flows	12
A Two-Level Block Preconditioned Jacobi–Davidson Method for Multiple and Clustered Eigenvalues of Elliptic Operators	12
Multistage Discontinuous Petrov–Galerkin Time-Marching Scheme for Nonlinear Problems	12
A Priori Analysis of a Tensor ROM for Parameter Dependent Parabolic Problems	12
Stability Results for Backward Nonlinear Diffusion Equations with Temporal Coupling Operator of Local and Nonlocal Type	12
Space-Time Virtual Elements for the Heat Equation	11
Learning High-Dimensional McKean–Vlasov Forward-Backward Stochastic Differential Equations with General Distribution Dependence	11
POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution	11
On Energy Laws and Stability of Runge--Kutta Methods for Linear Seminegative Problems	11
Uniform Substructuring Preconditioners for High Order FEM on Triangles and the Influence of Nodal Basis Functions	11
Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows	11
On the Approximability and Curse of Dimensionality of Certain Classes of High-Dimensional Functions	11
A Monotone Discretization for Integral Fractional Laplacian on Bounded Lipschitz Domains: Pointwise Error Estimates under Hölder Regularity	11
A Probabilistic Scheme for Semilinear Nonlocal Diffusion Equations with Volume Constraints	11
Numerical Methods for Integral Equations of the Second Kind with NonSmooth Solutions of Bounded Variation	11
Optimal $\boldsymbol{L}^{\boldsymbol{2}}$ Error Analysis of a Loosely Coupled Finite Element Scheme for Thin-Structure Interactions	10
Numerical Methods and Analysis of Computing Quasiperiodic Systems	10
Stability and Error Analysis of a Second-Order Consistent Splitting Scheme for the Navier–Stokes Equations	10
Convergent FEM for a Membrane Model of Liquid Crystal Polymer Networks	10
Adaptive Multilevel Monte Carlo for Probabilities	10
Domain Decomposition Methods for the Monge–Ampère Equation	10
Perfectly Matched Layer Method for the Wave Scattering Problem by a Step-Like Surface	9
Convergence in Total Variation of the Euler--Maruyama Scheme Applied to Diffusion Processes with Measurable Drift Coefficient and Additive Noise	9
Stein Variational Gradient Descent on Infinite-Dimensional Space and Applications to Statistical Inverse Problems	9
Analysis of Injection Operators in Geometric Multigrid Solvers for HDG Methods	8
A Fourth-Order Unfitted Characteristic Finite Element Method for Solving the Advection-Diffusion Equation on Time-Varying Domains	8
A Local Discontinuous Galerkin Approximation for the $\boldsymbol{p}$ -Navier–Stokes System, Part III: Convergence Rates for the Pressure	8
Discrete Weak Duality of Hybrid High-Order Methods for Convex Minimization Problems	8
Discrete Hyperbolic Curvature Flow in the Plane	8
Conforming Finite Element DIVDIV Complexes and the Application for the Linearized Einstein--Bianchi System	8
Dispersion Analysis of CIP-FEM for the Helmholtz Equation	8
The Lanczos Tau Framework for Time-Delay Systems: Padé Approximation and Collocation Revisited	8
A New Class of Splitting Methods That Preserve Ergodicity and Exponential Integrability for the Stochastic Langevin Equation	8
Convergence of the Hiptmair–Xu Preconditioner for $\boldsymbol{H}\textbf{(curl)}$-Elliptic Problems with Jump Coefficients (ii): Main Results	8
Locking-Free Enriched Galerkin Method for Linear Elasticity	8
Energy Stable and Maximum Bound Principle Preserving Schemes for the $\boldsymbol {Q}$-Tensor Flow of Liquid Crystals	8
An Energy-Stable Parametric Finite Element Method for the Planar Willmore Flow	8
Randomized Least-Squares with Minimal Oversampling and Interpolation in General Spaces	7
Numerical Analysis for Convergence of a Sample-Wise Backpropagation Method for Training Stochastic Neural Networks	7
Analysis and Application of Two Novel Finite Element Methods for Solving Ziolkowski’s PML Model in the Integro-Differential Form	7
On the Coupling of the Curved Virtual Element Method with the One-Equation Boundary Element Method for 2D Exterior Helmholtz Problems	7
Convergence Analysis of Discrete High-Index Saddle Dynamics	7
Spectral Analysis of a Mixed Method for Linear Elasticity	7
${H^m}$-Conforming Virtual Elements in Arbitrary Dimension	7

On the Convergence of Adaptive Stochastic Collocation for Elliptic Partial Differential Equations with Affine Diffusion	7
Analysis of a Filtered Time-Stepping Finite Element Method for Natural Convection Problems	7
Discrete Gradient Structure of a Second-Order Variable-Step Method for Nonlinear Integro-Differential Models	7
On the Error Rate of Importance Sampling with Randomized Quasi-Monte Carlo	7
Orthogonal Polynomial Approximation and Extended Dynamic Mode Decomposition in Chaos	7
Stochastic Convergence of Regularized Solutions and Their Finite Element Approximations to Inverse Source Problems	7
On the Superconvergence of a Hybridizable Discontinuous Galerkin Method for the Cahn–Hilliard Equation	7
ContHutch++: Stochastic Trace Estimation For Implicit Integral Operators	7
On a New Class of BDF and IMEX Schemes for Parabolic Type Equations	7
On the Stability of Unconditionally Positive and Linear Invariants Preserving Time Integration Schemes	7
Geometric Ergodicity for Hamiltonian Monte Carlo on Compact Manifolds	7
An Exponential Spectral Method Using VP Means for Semilinear Subdiffusion Equations with Rough Data	6
Second Order Exponential Splittings in the Presence of Unbounded and Time-Dependent Operators: Construction and Convergence	6
Analysis of Preintegration Followed by Quasi–Monte Carlo Integration for Distribution Functions and Densities	6
Efficient Monte Carlo Method for Integral Fractional Laplacian in Multiple Dimensions	6
Higher-Order Convergence of Perfectly Matched Layers in Three-Dimensional Biperiodic Surface Scattering Problems	6
Preservation of Quadratic Invariants by Semiexplicit Symplectic Integrators for Nonseparable Hamiltonian Systems	6
Summation-by-Parts Operators for General Function Spaces	6
An Adaptive Spectral Method for Oscillatory Second-Order Linear ODEs with Frequency-Independent Cost	6
Virtual Element Methods Without Extrinsic Stabilization	6
Multilevel Monte Carlo Methods for the Dean–Kawasaki Equation from Fluctuating Hydrodynamics	6
Exponential Convolution Quadrature for Nonlinear Subdiffusion Equations with Nonsmooth Initial Data	6
Mixed Finite Element Methods for Linear Cosserat Equations	6
Isoparametric Unfitted BDF--Finite Element Method for PDEs on Evolving Domains	6
Improved Uniform Error Bounds on Time-Splitting Methods for Long-Time Dynamics of the Nonlinear Klein--Gordon Equation with Weak Nonlinearity	5
A New Thermodynamically Compatible Finite Volume Scheme for Magnetohydrodynamics	5
Wavenumber Explicit Convergence of a Multiscale Generalized Finite Element Method for Heterogeneous Helmholtz Problems	5
Exponential Convergence of Deep Operator Networks for Elliptic Partial Differential Equations	5
Erratum: Analysis and Numerical Approximation of Stationary Second-Order Mean Field Game Partial Differential Inclusions	5
Sinc-$\theta$ Schemes for Backward Stochastic Differential Equations	5
Equations with Infinite Delay: Pseudospectral Discretization for Numerical Stability and Bifurcation in an Abstract Framework	5
Multiscale Hybrid-Mixed Methods for the Stokes and Brinkman Equations—A Priori Analysis	5
The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems	5
On Maximal Regularity Estimates for Discontinuous Galerkin Time-Discrete Methods	5
On Uncertainty Quantification of Eigenvalues and Eigenspaces with Higher Multiplicity	5
Formulae for Mixed Moments of Wiener Processes and a Stochastic Area Integral	5
Optimization and Convergence of Numerical Attractors for Discrete-Time Quasi-Linear Lattice System	5
Irrational-Window-Filter Projection Method and Application to Quasiperiodic Schrödinger Eigenproblems	5
A Space-Time Trefftz Discontinuous Galerkin Method for the Linear Schrödinger Equation	5
Convergence of Anisotropic Mesh Adaptation via Metric Optimization	5
A Variable Time Step Time Filter Algorithm for the Geothermal System	5
Numerical Approximation of Biharmonic Wave Maps into Spheres	5
Numerical Solution of Free Stochastic Differential Equations	5
A Monolithic Divergence-Conforming HDG Scheme for a Linear Fluid-Structure Interaction Model	5
Stability and Error Analysis of IMEX SAV Schemes for the Magneto-Hydrodynamic Equations	5
Convergence of Regularized Particle Filters for Stochastic Reaction Networks	5
Error Estimation of the Relaxation Finite Difference Scheme for the Nonlinear Schrödinger Equation	5