OOIR: Observatory of International Research

Papers

(The TQCC of SIAM Journal on Numerical Analysis is 7. 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 2021-11-01 to 2025-11-01.)

Article	Citations
Robust Preconditioning and Error Estimates for Optimal Control of the Convection--Diffusion--Reaction Equation with Limited Observation in Isogeometric Analysis	61
A Robust Lower-Order Mixed Finite Element Method for a Strain Gradient Elastic Model	45
Rational Methods for Abstract, Linear, Nonhomogeneous Problems without Order Reduction	40
VEM-Nitsche Fully Discrete Polytopal Scheme for Frictionless Contact-Mechanics	33
Multiple Relaxation Exponential Runge–Kutta Methods for the Nonlinear Schrödinger Equation	30
Exponential Convergence of $hp$-FEM for the Integral Fractional Laplacian in Polygons	29
${\boldsymbol{H^1}}$ -Norm Stability and Convergence of an L2-Type Method on Nonuniform Meshes for Subdiffusion Equation	29
A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry	27
Ultra-Weak Least Squares Discretizations for Unique Continuation and Cauchy Problems	26
Gamma-Convergent Projection-Free Finite Element Methods for Nematic Liquid Crystals: The Ericksen Model	26
Nonlinear Eigenvalue Methods for Linear Pointwise Stability of Nonlinear Waves	25
Approximations of Energy Minimization in Cell-Induced Phase Transitions of Fibrous Biomaterials: $\Gamma$-Convergence Analysis	25
Numerical Reconstruction of Diffusion and Potential Coefficients from Two Observations: Decoupled Recovery and Error Estimates	25
Exponential Integrators for Quasilinear Wave-Type Equations	24
Sparse Monte Carlo Method for Nonlocal Diffusion Problems	22
Finite-Element Domain Approximation for Maxwell Variational Problems on Curved Domains	22
An Asymptotic Preserving Discontinuous Galerkin Method for a Linear Boltzmann Semiconductor Model	22
A Study of Numerical Pollution of the Decoupled Algorithm for the Convection Model in Superposed Fluid and Porous Layers	20
Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property	19
Inverse Wave-Number-Dependent Source Problems for the Helmholtz Equation	18
Error Bounds for Discrete Minimizers of the Ginzburg–Landau Energy in the High-$\boldsymbol{\kappa }$ Regime	18
A Note on Sampling Recovery of Multivariate Functions in the Uniform Norm	18
Localized Implicit Time Stepping for the Wave Equation	17
A Priori Error Bounds and Parameter Scalings for the Time-Relaxation Reduced Order Model	17
Quasi-Optimal Error Estimates for the Finite Element Approximation of Stable Harmonic Maps with Nodal Constraints	17

$p$ -Robust Equilibrated Flux Reconstruction in $\boldsymbol{H}(\textrm{curl})$ Based on Local Minimizations: Application to a Posteriori Analysis of the Curl-Curl Problem	17
The Unique Continuation Problem for the Heat Equation Discretized with a High-Order Space-Time Nonconforming Method	16
Radial Complex Scaling for Anisotropic Scalar Resonance Problems	16
A Uniform Preconditioner for a Newton Algorithm for Total Variation Minimization and Minimum-Surface Problems	16
Numerical Staggered Schemes for the Free-Congested Navier--Stokes Equations	16
A Posteriori Error Control for the Allen–Cahn Equation with Variable Mobility	16
A Two-Level Block Preconditioned Jacobi–Davidson Method for Multiple and Clustered Eigenvalues of Elliptic Operators	15
A Priori Analysis of a Tensor ROM for Parameter Dependent Parabolic Problems	15
Secant Acceleration of Sequential Residual Methods for Solving Large-Scale Nonlinear Systems of Equations	15
Learning High-Dimensional McKean–Vlasov Forward-Backward Stochastic Differential Equations with General Distribution Dependence	14
POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution	14
Primal Hybrid Finite Element Method for the Helmholtz Equation	14
Locking-Free Hybrid High-Order Method for Linear Elasticity	14
Multistage Discontinuous Petrov–Galerkin Time-Marching Scheme for Nonlinear Problems	14
Adaptive Multilevel Monte Carlo for Probabilities	13
Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows	13
A Probabilistic Scheme for Semilinear Nonlocal Diffusion Equations with Volume Constraints	13
Stability Results for Backward Nonlinear Diffusion Equations with Temporal Coupling Operator of Local and Nonlocal Type	13
A Monotone Discretization for Integral Fractional Laplacian on Bounded Lipschitz Domains: Pointwise Error Estimates under Hölder Regularity	13
A Convergent Interacting Particle Method and Computation of KPP Front Speeds in Chaotic Flows	13
Domain Decomposition Methods for the Monge–Ampère Equation	12
On the Approximability and Curse of Dimensionality of Certain Classes of High-Dimensional Functions	12
Numerical Methods for Integral Equations of the Second Kind with NonSmooth Solutions of Bounded Variation	12
Convergent FEM for a Membrane Model of Liquid Crystal Polymer Networks	12
Stability and Error Analysis of a Second-Order Consistent Splitting Scheme for the Navier–Stokes Equations	12
Uniform Substructuring Preconditioners for High Order FEM on Triangles and the Influence of Nodal Basis Functions	12
On Energy Laws and Stability of Runge--Kutta Methods for Linear Seminegative Problems	12
Space-Time Virtual Elements for the Heat Equation	12
Analysis of Injection Operators in Geometric Multigrid Solvers for HDG Methods	11
Optimal $\boldsymbol{L}^{\boldsymbol{2}}$ Error Analysis of a Loosely Coupled Finite Element Scheme for Thin-Structure Interactions	11
Perfectly Matched Layer Method for the Wave Scattering Problem by a Step-Like Surface	11
Dispersion Analysis of CIP-FEM for the Helmholtz Equation	11
Conforming Finite Element DIVDIV Complexes and the Application for the Linearized Einstein--Bianchi System	11
Discrete Hyperbolic Curvature Flow in the Plane	11
Stein Variational Gradient Descent on Infinite-Dimensional Space and Applications to Statistical Inverse Problems	11
Numerical Methods and Analysis of Computing Quasiperiodic Systems	11
Convergence in Total Variation of the Euler--Maruyama Scheme Applied to Diffusion Processes with Measurable Drift Coefficient and Additive Noise	11
A New Class of Splitting Methods That Preserve Ergodicity and Exponential Integrability for the Stochastic Langevin Equation	10
An Energy-Stable Parametric Finite Element Method for the Planar Willmore Flow	10
Convergence of the Hiptmair–Xu Preconditioner for $\boldsymbol{H}\textbf{(curl)}$-Elliptic Problems with Jump Coefficients (ii): Main Results	10
Discrete Weak Duality of Hybrid High-Order Methods for Convex Minimization Problems	10
Energy Stable and Maximum Bound Principle Preserving Schemes for the $\boldsymbol {Q}$-Tensor Flow of Liquid Crystals	10
On the Error Rate of Importance Sampling with Randomized Quasi-Monte Carlo	10
Locking-Free Enriched Galerkin Method for Linear Elasticity	10
Convergence Analysis of Discrete High-Index Saddle Dynamics	10
On the Stability of Unconditionally Positive and Linear Invariants Preserving Time Integration Schemes	9
A Fourth-Order Unfitted Characteristic Finite Element Method for Solving the Advection-Diffusion Equation on Time-Varying Domains	9
Discrete Gradient Structure of a Second-Order Variable-Step Method for Nonlinear Integro-Differential Models	9
${H^m}$-Conforming Virtual Elements in Arbitrary Dimension	9
On the Superconvergence of a Hybridizable Discontinuous Galerkin Method for the Cahn–Hilliard Equation	9

On a New Class of BDF and IMEX Schemes for Parabolic Type Equations	9
The Lanczos Tau Framework for Time-Delay Systems: Padé Approximation and Collocation Revisited	9
Analysis and Application of Two Novel Finite Element Methods for Solving Ziolkowski’s PML Model in the Integro-Differential Form	9
Orthogonal Polynomial Approximation and Extended Dynamic Mode Decomposition in Chaos	9
On the Coupling of the Curved Virtual Element Method with the One-Equation Boundary Element Method for 2D Exterior Helmholtz Problems	9
A Local Discontinuous Galerkin Approximation for the $\boldsymbol{p}$ -Navier–Stokes System, Part III: Convergence Rates for the Pressure	9
Geometric Ergodicity for Hamiltonian Monte Carlo on Compact Manifolds	9
Stochastic Convergence of Regularized Solutions and Their Finite Element Approximations to Inverse Source Problems	9
Spectral Analysis of a Mixed Method for Linear Elasticity	9
Analysis of a Filtered Time-Stepping Finite Element Method for Natural Convection Problems	8
Virtual Element Methods Without Extrinsic Stabilization	8
Randomized Least-Squares with Minimal Oversampling and Interpolation in General Spaces	8
Numerical Analysis of the Parallel Orbital-Updating Approach for Eigenvalue Problems	8
An Exponential Spectral Method Using VP Means for Semilinear Subdiffusion Equations with Rough Data	8
Preservation of Quadratic Invariants by Semiexplicit Symplectic Integrators for Nonseparable Hamiltonian Systems	8
Convolution Quadrature for the Quasilinear Subdiffusion Equation	8
ContHutch++: Stochastic Trace Estimation For Implicit Integral Operators	8
Numerical Analysis for Convergence of a Sample-Wise Backpropagation Method for Training Stochastic Neural Networks	8
On the Convergence of Adaptive Stochastic Collocation for Elliptic Partial Differential Equations with Affine Diffusion	8
Regularity Analysis and High-Order Time Stepping Scheme for Quasilinear Subdiffusion	8
Mixed Finite Element Methods for Linear Cosserat Equations	7
Second Order Exponential Splittings in the Presence of Unbounded and Time-Dependent Operators: Construction and Convergence	7
Higher-Order Convergence of Perfectly Matched Layers in Three-Dimensional Biperiodic Surface Scattering Problems	7
Exponential Convolution Quadrature for Nonlinear Subdiffusion Equations with Nonsmooth Initial Data	7
A Variable Time Step Time Filter Algorithm for the Geothermal System	7
Equations with Infinite Delay: Pseudospectral Discretization for Numerical Stability and Bifurcation in an Abstract Framework	7
Convergence of Regularized Particle Filters for Stochastic Reaction Networks	7
Efficient Monte Carlo Method for Integral Fractional Laplacian in Multiple Dimensions	7
An Adaptive Spectral Method for Oscillatory Second-Order Linear ODEs with Frequency-Independent Cost	7
Convergence of Anisotropic Mesh Adaptation via Metric Optimization	7
On Schrödingerization-Based Quantum Algorithms for Linear Dynamical Systems with Inhomogeneous Terms	7
Multilevel Monte Carlo Methods for the Dean–Kawasaki Equation from Fluctuating Hydrodynamics	7
Isoparametric Unfitted BDF--Finite Element Method for PDEs on Evolving Domains	7
A Space-Time Trefftz Discontinuous Galerkin Method for the Linear Schrödinger Equation	7
Summation-by-Parts Operators for General Function Spaces	7
Analysis of Preintegration Followed by Quasi–Monte Carlo Integration for Distribution Functions and Densities	7
The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems	7
Error Estimation of the Relaxation Finite Difference Scheme for the Nonlinear Schrödinger Equation	7
Improved Uniform Error Bounds on Time-Splitting Methods for Long-Time Dynamics of the Nonlinear Klein--Gordon Equation with Weak Nonlinearity	7
Numerical Solution of Free Stochastic Differential Equations	7

\(p\) -Robust Equilibrated Flux Reconstruction in \(\boldsymbol{H}(\textrm{curl})\) Based on Local Minimizations: Application to a Posteriori Analysis of the Curl-Curl Problem	17
The Unique Continuation Problem for the Heat Equation Discretized with a High-Order Space-Time Nonconforming Method	16
Radial Complex Scaling for Anisotropic Scalar Resonance Problems	16
A Uniform Preconditioner for a Newton Algorithm for Total Variation Minimization and Minimum-Surface Problems	16
Numerical Staggered Schemes for the Free-Congested Navier--Stokes Equations	16
A Posteriori Error Control for the Allen–Cahn Equation with Variable Mobility	16
A Two-Level Block Preconditioned Jacobi–Davidson Method for Multiple and Clustered Eigenvalues of Elliptic Operators	15
A Priori Analysis of a Tensor ROM for Parameter Dependent Parabolic Problems	15
Secant Acceleration of Sequential Residual Methods for Solving Large-Scale Nonlinear Systems of Equations	15
Learning High-Dimensional McKean–Vlasov Forward-Backward Stochastic Differential Equations with General Distribution Dependence	14
POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution	14
Primal Hybrid Finite Element Method for the Helmholtz Equation	14
Locking-Free Hybrid High-Order Method for Linear Elasticity	14
Multistage Discontinuous Petrov–Galerkin Time-Marching Scheme for Nonlinear Problems	14
Adaptive Multilevel Monte Carlo for Probabilities	13
Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows	13
A Probabilistic Scheme for Semilinear Nonlocal Diffusion Equations with Volume Constraints	13
Stability Results for Backward Nonlinear Diffusion Equations with Temporal Coupling Operator of Local and Nonlocal Type	13
A Monotone Discretization for Integral Fractional Laplacian on Bounded Lipschitz Domains: Pointwise Error Estimates under Hölder Regularity	13
A Convergent Interacting Particle Method and Computation of KPP Front Speeds in Chaotic Flows	13
Domain Decomposition Methods for the Monge–Ampère Equation	12
On the Approximability and Curse of Dimensionality of Certain Classes of High-Dimensional Functions	12
Numerical Methods for Integral Equations of the Second Kind with NonSmooth Solutions of Bounded Variation	12
Convergent FEM for a Membrane Model of Liquid Crystal Polymer Networks	12
Stability and Error Analysis of a Second-Order Consistent Splitting Scheme for the Navier–Stokes Equations	12
Uniform Substructuring Preconditioners for High Order FEM on Triangles and the Influence of Nodal Basis Functions	12
On Energy Laws and Stability of Runge--Kutta Methods for Linear Seminegative Problems	12
Space-Time Virtual Elements for the Heat Equation	12
Analysis of Injection Operators in Geometric Multigrid Solvers for HDG Methods	11
Optimal \(\boldsymbol{L}^{\boldsymbol{2}}\) Error Analysis of a Loosely Coupled Finite Element Scheme for Thin-Structure Interactions	11
Perfectly Matched Layer Method for the Wave Scattering Problem by a Step-Like Surface	11
Dispersion Analysis of CIP-FEM for the Helmholtz Equation	11
Conforming Finite Element DIVDIV Complexes and the Application for the Linearized Einstein--Bianchi System	11
Discrete Hyperbolic Curvature Flow in the Plane	11
Stein Variational Gradient Descent on Infinite-Dimensional Space and Applications to Statistical Inverse Problems	11
Numerical Methods and Analysis of Computing Quasiperiodic Systems	11
Convergence in Total Variation of the Euler--Maruyama Scheme Applied to Diffusion Processes with Measurable Drift Coefficient and Additive Noise	11
A New Class of Splitting Methods That Preserve Ergodicity and Exponential Integrability for the Stochastic Langevin Equation	10
An Energy-Stable Parametric Finite Element Method for the Planar Willmore Flow	10
Convergence of the Hiptmair–Xu Preconditioner for \(\boldsymbol{H}\textbf{(curl)}\)-Elliptic Problems with Jump Coefficients (ii): Main Results	10
Discrete Weak Duality of Hybrid High-Order Methods for Convex Minimization Problems	10
Energy Stable and Maximum Bound Principle Preserving Schemes for the \(\boldsymbol {Q}\)-Tensor Flow of Liquid Crystals	10
On the Error Rate of Importance Sampling with Randomized Quasi-Monte Carlo	10
Locking-Free Enriched Galerkin Method for Linear Elasticity	10
Convergence Analysis of Discrete High-Index Saddle Dynamics	10
On the Stability of Unconditionally Positive and Linear Invariants Preserving Time Integration Schemes	9
A Fourth-Order Unfitted Characteristic Finite Element Method for Solving the Advection-Diffusion Equation on Time-Varying Domains	9
Discrete Gradient Structure of a Second-Order Variable-Step Method for Nonlinear Integro-Differential Models	9
\({H^m}\)-Conforming Virtual Elements in Arbitrary Dimension	9
On the Superconvergence of a Hybridizable Discontinuous Galerkin Method for the Cahn–Hilliard Equation	9