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 2022-01-01 to 2026-01-01.)

Article	Citations
Robust Preconditioning and Error Estimates for Optimal Control of the Convection--Diffusion--Reaction Equation with Limited Observation in Isogeometric Analysis	63
A Robust Lower-Order Mixed Finite Element Method for a Strain Gradient Elastic Model	50
Rational Methods for Abstract, Linear, Nonhomogeneous Problems without Order Reduction	48
Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property	38
A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry	35
Gamma-Convergent Projection-Free Finite Element Methods for Nematic Liquid Crystals: The Ericksen Model	30
Approximations of Energy Minimization in Cell-Induced Phase Transitions of Fibrous Biomaterials: $\Gamma$-Convergence Analysis	29
Ultra-Weak Least Squares Discretizations for Unique Continuation and Cauchy Problems	29
Nonlinear Eigenvalue Methods for Linear Pointwise Stability of Nonlinear Waves	28
Numerical Reconstruction of Diffusion and Potential Coefficients from Two Observations: Decoupled Recovery and Error Estimates	27
Multiple Relaxation Exponential Runge–Kutta Methods for the Nonlinear Schrödinger Equation	26
Finite-Element Domain Approximation for Maxwell Variational Problems on Curved Domains	26
An Asymptotic Preserving Discontinuous Galerkin Method for a Linear Boltzmann Semiconductor Model	26
Exponential Integrators for Quasilinear Wave-Type Equations	26
Sparse Monte Carlo Method for Nonlocal Diffusion Problems	26
${\boldsymbol{H^1}}$ -Norm Stability and Convergence of an L2-Type Method on Nonuniform Meshes for Subdiffusion Equation	25
A Study of Numerical Pollution of the Decoupled Algorithm for the Convection Model in Superposed Fluid and Porous Layers	24
A Note on Sampling Recovery of Multivariate Functions in the Uniform Norm	23
VEM-Nitsche Fully Discrete Polytopal Scheme for Frictionless Contact-Mechanics	22
Exponential Convergence of $hp$-FEM for the Integral Fractional Laplacian in Polygons	21
Localized Implicit Time Stepping for the Wave Equation	20
Inverse Wave-Number-Dependent Source Problems for the Helmholtz Equation	20
Error Bounds for Discrete Minimizers of the Ginzburg–Landau Energy in the High-$\boldsymbol{\kappa }$ Regime	20
Quasi-Optimal Error Estimates for the Finite Element Approximation of Stable Harmonic Maps with Nodal Constraints	19
A Uniform Preconditioner for a Newton Algorithm for Total Variation Minimization and Minimum-Surface Problems	18

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

On the Coupling of the Curved Virtual Element Method with the One-Equation Boundary Element Method for 2D Exterior Helmholtz Problems	10
Randomized Least-Squares with Minimal Oversampling and Interpolation in General Spaces	10
On the Stability of Unconditionally Positive and Linear Invariants Preserving Time Integration Schemes	10
Discrete Gradient Structure of a Second-Order Variable-Step Method for Nonlinear Integro-Differential Models	10
An Energy-Stable Parametric Finite Element Method for the Planar Willmore Flow	10
On a New Class of BDF and IMEX Schemes for Parabolic Type Equations	10
Orthogonal Polynomial Approximation and Extended Dynamic Mode Decomposition in Chaos	9
${H^m}$-Conforming Virtual Elements in Arbitrary Dimension	9
On the Convergence of Adaptive Stochastic Collocation for Elliptic Partial Differential Equations with Affine Diffusion	9
An Exponential Spectral Method Using VP Means for Semilinear Subdiffusion Equations with Rough Data	9
On the Superconvergence of a Hybridizable Discontinuous Galerkin Method for the Cahn–Hilliard Equation	9
A Reynolds-SemiRobust Method with Hybrid Velocity and Pressure for the Unsteady Incompressible Navier–Stokes Equations	9
Numerical Analysis of the Parallel Orbital-Updating Approach for Eigenvalue Problems	9
Convolution Quadrature for the Quasilinear Subdiffusion Equation	9
Summation-by-Parts Operators for General Function Spaces	9
Analysis and Application of Two Novel Finite Element Methods for Solving Ziolkowski’s PML Model in the Integro-Differential Form	9
Efficient Monte Carlo Method for Integral Fractional Laplacian in Multiple Dimensions	9
Spectral Analysis of a Mixed Method for Linear Elasticity	9
ContHutch++: Stochastic Trace Estimation For Implicit Integral Operators	9
Regularity Analysis and High-Order Time Stepping Scheme for Quasilinear Subdiffusion	9
Stochastic Convergence of Regularized Solutions and Their Finite Element Approximations to Inverse Source Problems	9
Analysis of Preintegration Followed by Quasi–Monte Carlo Integration for Distribution Functions and Densities	8
Numerical Analysis for Convergence of a Sample-Wise Backpropagation Method for Training Stochastic Neural Networks	8
Higher-Order Convergence of Perfectly Matched Layers in Three-Dimensional Biperiodic Surface Scattering Problems	8
A Space-Time Trefftz Discontinuous Galerkin Method for the Linear Schrödinger Equation	8
Mixed Finite Element Methods for Linear Cosserat Equations	8
Virtual Element Methods Without Extrinsic Stabilization	8
Analysis of a Filtered Time-Stepping Finite Element Method for Natural Convection Problems	8
On Schrödingerization-Based Quantum Algorithms for Linear Dynamical Systems with Inhomogeneous Terms	8
An Adaptive Spectral Method for Oscillatory Second-Order Linear ODEs with Frequency-Independent Cost	8
Convergence of Anisotropic Mesh Adaptation via Metric Optimization	8
Preservation of Quadratic Invariants by Semiexplicit Symplectic Integrators for Nonseparable Hamiltonian Systems	8
Exponential Convolution Quadrature for Nonlinear Subdiffusion Equations with Nonsmooth Initial Data	8
Multilevel Monte Carlo Methods for the Dean–Kawasaki Equation from Fluctuating Hydrodynamics	8
Error Estimation of the Relaxation Finite Difference Scheme for the Nonlinear Schrödinger Equation	8
A Monolithic Divergence-Conforming HDG Scheme for a Linear Fluid-Structure Interaction Model	7
Optimal Maximum Norm Estimates for Virtual Element Methods	7
Trefftz Discontinuous Galerkin Approximation of an Acoustic Waveguide	7
Convergence of Regularized Particle Filters for Stochastic Reaction Networks	7
Multiscale Hybrid-Mixed Methods for the Stokes and Brinkman Equations—A Priori Analysis	7
Equations with Infinite Delay: Pseudospectral Discretization for Numerical Stability and Bifurcation in an Abstract Framework	7
Second Order Exponential Splittings in the Presence of Unbounded and Time-Dependent Operators: Construction and Convergence	7
Wavenumber Explicit Convergence of a Multiscale Generalized Finite Element Method for Heterogeneous Helmholtz Problems	7
On Maximal Regularity Estimates for Discontinuous Galerkin Time-Discrete Methods	7
Discontinuous Galerkin Methods for 3D–1D Systems	7
Numerical Solution of Free Stochastic Differential Equations	7
Improved Uniform Error Bounds on Time-Splitting Methods for Long-Time Dynamics of the Nonlinear Klein--Gordon Equation with Weak Nonlinearity	7
The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems	7
On Uncertainty Quantification of Eigenvalues and Eigenspaces with Higher Multiplicity	7
Recovery Based Linear Finite Element Methods for Hamilton–Jacobi–Bellman Equation with Cordes Coefficients	7
Numerical Approximation of Biharmonic Wave Maps into Spheres	7
Formulae for Mixed Moments of Wiener Processes and a Stochastic Area Integral	7
Irrational-Window-Filter Projection Method and Application to Quasiperiodic Schrödinger Eigenproblems	7
A Variable Time Step Time Filter Algorithm for the Geothermal System	7
Isoparametric Unfitted BDF--Finite Element Method for PDEs on Evolving Domains	7
Sinc-$\theta$ Schemes for Backward 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	18
A Posteriori Error Control for the Allen–Cahn Equation with Variable Mobility	18
Numerical Staggered Schemes for the Free-Congested Navier--Stokes Equations	18
Radial Complex Scaling for Anisotropic Scalar Resonance Problems	18
A Priori Error Bounds and Parameter Scalings for the Time-Relaxation Reduced Order Model	17
The Unique Continuation Problem for the Heat Equation Discretized with a High-Order Space-Time Nonconforming Method	17
Secant Acceleration of Sequential Residual Methods for Solving Large-Scale Nonlinear Systems of Equations	16
Primal Hybrid Finite Element Method for the Helmholtz Equation	16
Locking-Free Hybrid High-Order Method for Linear Elasticity	16
A Two-Level Block Preconditioned Jacobi–Davidson Method for Multiple and Clustered Eigenvalues of Elliptic Operators	16
A Priori Analysis of a Tensor ROM for Parameter Dependent Parabolic Problems	15
Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows	15
A Monotone Discretization for Integral Fractional Laplacian on Bounded Lipschitz Domains: Pointwise Error Estimates under Hölder Regularity	15
A Probabilistic Scheme for Semilinear Nonlocal Diffusion Equations with Volume Constraints	15
Multistage Discontinuous Petrov–Galerkin Time-Marching Scheme for Nonlinear Problems	15
POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution	15
A Convergent Interacting Particle Method and Computation of KPP Front Speeds in Chaotic Flows	15
Learning High-Dimensional McKean–Vlasov Forward-Backward Stochastic Differential Equations with General Distribution Dependence	14
Stability Results for Backward Nonlinear Diffusion Equations with Temporal Coupling Operator of Local and Nonlocal Type	14
Uniform Substructuring Preconditioners for High Order FEM on Triangles and the Influence of Nodal Basis Functions	14
On Energy Laws and Stability of Runge--Kutta Methods for Linear Seminegative Problems	13
Numerical Methods for Integral Equations of the Second Kind with NonSmooth Solutions of Bounded Variation	13
Optimal \(\boldsymbol{L}^{\boldsymbol{2}}\) Error Analysis of a Loosely Coupled Finite Element Scheme for Thin-Structure Interactions	13
Numerical Methods and Analysis of Computing Quasiperiodic Systems	13
Convergent FEM for a Membrane Model of Liquid Crystal Polymer Networks	13
Space-Time Virtual Elements for the Heat Equation	13
Domain Decomposition Methods for the Monge–Ampère Equation	13
On the Approximability and Curse of Dimensionality of Certain Classes of High-Dimensional Functions	13
Geometric Low-Rank Approximation of the Zeitlin Model of Incompressible Fluids on the Sphere	12
Conforming Finite Element DIVDIV Complexes and the Application for the Linearized Einstein--Bianchi System	12
Adaptive Multilevel Monte Carlo for Probabilities	12
Stability and Error Analysis of a Second-Order Consistent Splitting Scheme for the Navier–Stokes Equations	12
Locking-Free Enriched Galerkin Method for Linear Elasticity	11
Stein Variational Gradient Descent on Infinite-Dimensional Space and Applications to Statistical Inverse Problems	11
Convergence of the Hiptmair–Xu Preconditioner for \(\boldsymbol{H}\textbf{(curl)}\)-Elliptic Problems with Jump Coefficients (ii): Main Results	11
A New Class of Splitting Methods That Preserve Ergodicity and Exponential Integrability for the Stochastic Langevin Equation	11
Convergence in Total Variation of the Euler--Maruyama Scheme Applied to Diffusion Processes with Measurable Drift Coefficient and Additive Noise	11
Discrete Hyperbolic Curvature Flow in the Plane	11
Analysis of Injection Operators in Geometric Multigrid Solvers for HDG Methods	11
Dispersion Analysis of CIP-FEM for the Helmholtz Equation	11
Discrete Weak Duality of Hybrid High-Order Methods for Convex Minimization Problems	11
Perfectly Matched Layer Method for the Wave Scattering Problem by a Step-Like Surface	11
A Convergence Analysis Of Lawson’s Iteration For Computing Polynomial And Rational Minimax Approximations	11
On the Error Rate of Importance Sampling with Randomized Quasi-Monte Carlo	11
Energy Stable and Maximum Bound Principle Preserving Schemes for the \(\boldsymbol {Q}\)-Tensor Flow of Liquid Crystals	11
A Local Discontinuous Galerkin Approximation for the \(\boldsymbol{p}\) -Navier–Stokes System, Part III: Convergence Rates for the Pressure	10
Convergence Analysis of Discrete High-Index Saddle Dynamics	10
Geometric Ergodicity for Hamiltonian Monte Carlo on Compact Manifolds	10
The Lanczos Tau Framework for Time-Delay Systems: Padé Approximation and Collocation Revisited	10
A Fourth-Order Unfitted Characteristic Finite Element Method for Solving the Advection-Diffusion Equation on Time-Varying Domains	10