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 2021-05-01 to 2025-05-01.)

Article	Citations
Robust Preconditioning and Error Estimates for Optimal Control of the Convection--Diffusion--Reaction Equation with Limited Observation in Isogeometric Analysis	52
Nonlinear Eigenvalue Methods for Linear Pointwise Stability of Nonlinear Waves	36
A Robust Lower-Order Mixed Finite Element Method for a Strain Gradient Elastic Model	32
Gamma-Convergent Projection-Free Finite Element Methods for Nematic Liquid Crystals: The Ericksen Model	25
Sparse Monte Carlo Method for Nonlocal Diffusion Problems	25
A Study of Numerical Pollution of the Decoupled Algorithm for the Convection Model in Superposed Fluid and Porous Layers	23
Numerical Reconstruction of Diffusion and Potential Coefficients from Two Observations: Decoupled Recovery and Error Estimates	23
Rational Methods for Abstract, Linear, Nonhomogeneous Problems without Order Reduction	23
Exponential Integrators for Quasilinear Wave-Type Equations	22
An Asymptotic Preserving Discontinuous Galerkin Method for a Linear Boltzmann Semiconductor Model	21
Finite-Element Domain Approximation for Maxwell Variational Problems on Curved Domains	20
VEM-Nitsche Fully Discrete Polytopal Scheme for Frictionless Contact-Mechanics	20
Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property	19
Exponential Convergence of $hp$-FEM for the Integral Fractional Laplacian in Polygons	18
Approximations of Energy Minimization in Cell-Induced Phase Transitions of Fibrous Biomaterials: $\Gamma$-Convergence Analysis	17
Multiple Relaxation Exponential Runge–Kutta Methods for the Nonlinear Schrödinger Equation	17
A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry	15
The Unique Continuation Problem for the Heat Equation Discretized with a High-Order Space-Time Nonconforming Method	14
${\boldsymbol{H^1}}$ -Norm Stability and Convergence of an L2-Type Method on Nonuniform Meshes for Subdiffusion Equation	14
A Uniform Preconditioner for a Newton Algorithm for Total Variation Minimization and Minimum-Surface Problems	14
A Note on Sampling Recovery of Multivariate Functions in the Uniform Norm	14
$p$ -Robust Equilibrated Flux Reconstruction in $\boldsymbol{H}(\textrm{curl})$ Based on Local Minimizations: Application to a Posteriori Analysis of the Curl-Curl Problem	13
Quasi-Optimal Error Estimates for the Finite Element Approximation of Stable Harmonic Maps with Nodal Constraints	13
Numerical Staggered Schemes for the Free-Congested Navier--Stokes Equations	13
A Priori Analysis of a Tensor ROM for Parameter Dependent Parabolic Problems	12

Inverse Wave-Number-Dependent Source Problems for the Helmholtz Equation	12
Localized Implicit Time Stepping for the Wave Equation	12
Learning High-Dimensional McKean–Vlasov Forward-Backward Stochastic Differential Equations with General Distribution Dependence	12
Error Bounds for Discrete Minimizers of the Ginzburg–Landau Energy in the High-$\boldsymbol{\kappa }$ Regime	12
Locking-Free Hybrid High-Order Method for Linear Elasticity	12
POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution	12
Radial Complex Scaling for Anisotropic Scalar Resonance Problems	12
Stability Results for Backward Nonlinear Diffusion Equations with Temporal Coupling Operator of Local and Nonlocal Type	12
A Probabilistic Scheme for Semilinear Nonlocal Diffusion Equations with Volume Constraints	11
Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows	11
A Monotone Discretization for Integral Fractional Laplacian on Bounded Lipschitz Domains: Pointwise Error Estimates under Hölder Regularity	11
A Convergent Interacting Particle Method and Computation of KPP Front Speeds in Chaotic Flows	11
A Two-Level Block Preconditioned Jacobi–Davidson Method for Multiple and Clustered Eigenvalues of Elliptic Operators	11
Multistage Discontinuous Petrov–Galerkin Time-Marching Scheme for Nonlinear Problems	10
Optimal $\boldsymbol{L}^{\boldsymbol{2}}$ Error Analysis of a Loosely Coupled Finite Element Scheme for Thin-Structure Interactions	10
Convergent FEM for a Membrane Model of Liquid Crystal Polymer Networks	10
Adaptive Multilevel Monte Carlo for Probabilities	10
Space-Time Virtual Elements for the Heat Equation	10
Primal Hybrid Finite Element Method for the Helmholtz Equation	10
On Energy Laws and Stability of Runge--Kutta Methods for Linear Seminegative Problems	10
Numerical Methods for Integral Equations of the Second Kind with NonSmooth Solutions of Bounded Variation	10
Secant Acceleration of Sequential Residual Methods for Solving Large-Scale Nonlinear Systems of Equations	10
Numerical Methods and Analysis of Computing Quasiperiodic Systems	9
Domain Decomposition Methods for the Monge–Ampère Equation	9
Uniform Substructuring Preconditioners for High Order FEM on Triangles and the Influence of Nodal Basis Functions	9
On the Approximability and Curse of Dimensionality of Certain Classes of High-Dimensional Functions	9
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
Discrete Hyperbolic Curvature Flow in the Plane	8
Stability and Error Analysis of a Second-Order Consistent Splitting Scheme for the Navier–Stokes Equations	8
Conforming Finite Element DIVDIV Complexes and the Application for the Linearized Einstein--Bianchi System	8
Stein Variational Gradient Descent on Infinite-Dimensional Space and Applications to Statistical Inverse Problems	8
Perfectly Matched Layer Method for the Wave Scattering Problem by a Step-Like Surface	8
Dispersion Analysis of CIP-FEM for the Helmholtz Equation	8
Convergence in Total Variation of the Euler--Maruyama Scheme Applied to Diffusion Processes with Measurable Drift Coefficient and Additive Noise	8
Analysis of Injection Operators in Geometric Multigrid Solvers for HDG Methods	8
On a New Class of BDF and IMEX Schemes for Parabolic Type Equations	7
A Fourth-Order Unfitted Characteristic Finite Element Method for Solving the Advection-Diffusion Equation on Time-Varying Domains	7
A New Class of Splitting Methods That Preserve Ergodicity and Exponential Integrability for the Stochastic Langevin Equation	7
Discrete Gradient Structure of a Second-Order Variable-Step Method for Nonlinear Integro-Differential Models	7
The Lanczos Tau Framework for Time-Delay Systems: Padé Approximation and Collocation Revisited	7
On the Stability of Unconditionally Positive and Linear Invariants Preserving Time Integration Schemes	7
Convergence Analysis of Discrete High-Index Saddle Dynamics	7
An Energy-Stable Parametric Finite Element Method for the Planar Willmore Flow	7
Discrete Weak Duality of Hybrid High-Order Methods for Convex Minimization Problems	7
On the Error Rate of Importance Sampling with Randomized Quasi-Monte Carlo	7
On the Coupling of the Curved Virtual Element Method with the One-Equation Boundary Element Method for 2D Exterior Helmholtz Problems	7
Energy Stable and Maximum Bound Principle Preserving Schemes for the $\boldsymbol {Q}$-Tensor Flow of Liquid Crystals	7
A Local Discontinuous Galerkin Approximation for the $\boldsymbol{p}$ -Navier–Stokes System, Part III: Convergence Rates for the Pressure	7
${H^m}$-Conforming Virtual Elements in Arbitrary Dimension	6

Stochastic Convergence of Regularized Solutions and Their Finite Element Approximations to Inverse Source Problems	6
Randomized Least-Squares with Minimal Oversampling and Interpolation in General Spaces	6
ContHutch++: Stochastic Trace Estimation For Implicit Integral Operators	6
Spectral Analysis of a Mixed Method for Linear Elasticity	6
Analysis and Application of Two Novel Finite Element Methods for Solving Ziolkowski’s PML Model in the Integro-Differential Form	6
On the Convergence of Adaptive Stochastic Collocation for Elliptic Partial Differential Equations with Affine Diffusion	6
Virtual Element Methods Without Extrinsic Stabilization	6
Efficient Monte Carlo Method for Integral Fractional Laplacian in Multiple Dimensions	6
Geometric Ergodicity for Hamiltonian Monte Carlo on Compact Manifolds	6
On the Superconvergence of a Hybridizable Discontinuous Galerkin Method for the Cahn–Hilliard Equation	6
Orthogonal Polynomial Approximation and Extended Dynamic Mode Decomposition in Chaos	6
Exponential Convolution Quadrature for Nonlinear Subdiffusion Equations with Nonsmooth Initial Data	6
A Variable Time Step Time Filter Algorithm for the Geothermal System	5
An Adaptive Spectral Method for Oscillatory Second-Order Linear ODEs with Frequency-Independent Cost	5
An Exponential Spectral Method Using VP Means for Semilinear Subdiffusion Equations with Rough Data	5
Summation-by-Parts Operators for General Function Spaces	5
Numerical Analysis for Convergence of a Sample-Wise Backpropagation Method for Training Stochastic Neural Networks	5
Analysis of Preintegration Followed by Quasi–Monte Carlo Integration for Distribution Functions and Densities	5
The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems	5
Isoparametric Unfitted BDF--Finite Element Method for PDEs on Evolving Domains	5
Mixed Finite Element Methods for Linear Cosserat Equations	5
A Space-Time Trefftz Discontinuous Galerkin Method for the Linear Schrödinger Equation	5
Preservation of Quadratic Invariants by Semiexplicit Symplectic Integrators for Nonseparable Hamiltonian Systems	5
Equations with Infinite Delay: Pseudospectral Discretization for Numerical Stability and Bifurcation in an Abstract Framework	5
Higher-Order Convergence of Perfectly Matched Layers in Three-Dimensional Biperiodic Surface Scattering Problems	5
Error Estimation of the Relaxation Finite Difference Scheme for the Nonlinear Schrödinger Equation	5
Exponential Convergence of Deep Operator Networks for Elliptic Partial Differential Equations	5
Multilevel Monte Carlo Methods for the Dean–Kawasaki Equation from Fluctuating Hydrodynamics	5
Convergence of Anisotropic Mesh Adaptation via Metric Optimization	5
Analysis of a Filtered Time-Stepping Finite Element Method for Natural Convection Problems	5
Second Order Exponential Splittings in the Presence of Unbounded and Time-Dependent Operators: Construction and Convergence	5
Improved Uniform Error Bounds on Time-Splitting Methods for Long-Time Dynamics of the Nonlinear Klein--Gordon Equation with Weak Nonlinearity	5