SIAM Journal on Numerical Analysis

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
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
\(p\) -Robust Equilibrated Flux Reconstruction in \(\boldsymbol{H}(\textrm{curl})\) Based on Local Minimizations: Application to a Posteriori Analysis of the Curl-Curl Problem	13
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 Priori Analysis of a Tensor ROM for Parameter Dependent Parabolic Problems	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
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
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
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
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
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
Numerical Solution of Free Stochastic Differential Equations	4
Recovery Based Linear Finite Element Methods for Hamilton–Jacobi–Bellman Equation with Cordes Coefficients	4
Sinc-$\theta$ Schemes for Backward Stochastic Differential Equations	4
A Monolithic Divergence-Conforming HDG Scheme for a Linear Fluid-Structure Interaction Model	4
Wavenumber Explicit Convergence of a Multiscale Generalized Finite Element Method for Heterogeneous Helmholtz Problems	4
Finite Element Approximation of Large-Scale Isometric Deformations of Parametrized Surfaces	4
An Entropic Method for Discrete Systems with Gibbs Entropy	4
On the Convergence of Sobolev Gradient Flow for the Gross–Pitaevskii Eigenvalue Problem	4
On Uncertainty Quantification of Eigenvalues and Eigenspaces with Higher Multiplicity	4
Multiscale Hybrid-Mixed Methods for the Stokes and Brinkman Equations—A Priori Analysis	4
Optimization and Convergence of Numerical Attractors for Discrete-Time Quasi-Linear Lattice System	4
Irrational-Window-Filter Projection Method and Application to Quasiperiodic Schrödinger Eigenproblems	4
Erratum: Analysis and Numerical Approximation of Stationary Second-Order Mean Field Game Partial Differential Inclusions	4
Local Transparent Boundary Conditions for Wave Propagation in Fractal Trees (II). Error and Complexity Analysis	4
How Sharp Are Error Bounds? –Lower Bounds on Quadrature Worst-Case Errors for Analytic Functions–	4
Applying an Oriented Divergence Theorem to Swept Face Remap	4
On Maximal Regularity Estimates for Discontinuous Galerkin Time-Discrete Methods	4
A New Thermodynamically Compatible Finite Volume Scheme for Magnetohydrodynamics	4
Convergence of Regularized Particle Filters for Stochastic Reaction Networks	4
Discontinuous Galerkin Methods for 3D–1D Systems	4
Stability and Error Analysis of IMEX SAV Schemes for the Magneto-Hydrodynamic Equations	4
Optimal Maximum Norm Estimates for Virtual Element Methods	4
Adaptive FEM for Parameter-Errors in Elliptic Linear-Quadratic Parameter Estimation Problems	4
PML and High-Accuracy Boundary Integral Equation Solver for Wave Scattering by a Locally Defected Periodic Surface	4
Formulae for Mixed Moments of Wiener Processes and a Stochastic Area Integral	4
On the Convergence to Local Limit of Nonlocal Models with Approximated Interaction Neighborhoods	3
Error Analysis Based on Inverse Modified Differential Equations for Discovery of Dynamics Using Linear Multistep Methods and Deep Learning	3
Continuous Time Limit of the Stochastic Ensemble Kalman Inversion: Strong Convergence Analysis	3
An Equilibrated Flux A Posteriori Error Estimator for Defeaturing Problems	3
The Discovery of Dynamics via Linear Multistep Methods and Deep Learning: Error Estimation	3
A New Lagrange Multiplier Approach for Constructing Structure Preserving Schemes, II. Bound Preserving	3
Space-Time Finite Element Methods for Distributed Optimal Control of the Wave Equation	3
Swarm-Based Gradient Descent Meets Simulated Annealing	3
Frequency-Explicit A Posteriori Error Estimates for Finite Element Discretizations of Maxwell's Equations	3
Kernel Interpolation of High Dimensional Scattered Data	3
Finite Element Discretization of the Steady, Generalized Navier–Stokes Equations with Inhomogeneous Dirichlet Boundary Conditions	3
A Unified Trapezoidal Quadrature Method for Singular and Hypersingular Boundary Integral Operators on Curved Surfaces	3
Convergence of Renormalized Finite Element Methods for Heat Flow of Harmonic Maps	3
Duality-Based Error Control for the Signorini Problem	3
Rank-Adaptive Time Integration of Tree Tensor Networks	3
Error Analysis for a Parabolic PDE Model Problem on a Coupled Moving Domain in a Fully Eulerian Framework	3
Novel Design and Analysis of Generalized Finite Element Methods Based on Locally Optimal Spectral Approximations	3
Convergence Analysis of a Fully Discrete Energy-Stable Numerical Scheme for the Q-Tensor Flow of Liquid Crystals	3
Stability of Variable-Step BDF2 and BDF3 Methods	3
Higher-Order Monte Carlo through Cubic Stratification	3
A Convergent Evolving Finite Element Method with Artificial Tangential Motion for Surface Evolution under a Prescribed Velocity Field	3
Two-Scale Finite Element Approximation of a Homogenized Plate Model	3
A Discrete Velocity Numerical Scheme for the Two-Dimensional Bitemperature Euler System	3

Analysis of Local Discontinuous Galerkin Methods with Implicit-Explicit Time Marching for Linearized KdV Equations	3
A Simplified Newton Method to Generate Snapshots for POD Models of Semilinear Optimal Control Problems	3
Finite Elements for div- and divdiv-Conforming Symmetric Tensors in Arbitrary Dimension	3
Robust Finite Elements for Linearized Magnetohydrodynamics	3
A Novel Mixed Spectral Method and Error Estimates for Maxwell Transmission Eigenvalue Problems	3
Harmonic Functions on Finitely Connected Tori	3
Bilinear Optimal Control for the Fractional Laplacian: Analysis and Discretization	3
Adaptive Finite Element Approximations for Elliptic Problems using Regularized Forcing Data	3
The A Posteriori Error Estimates of the FE Approximation of Defective Eigenvalues for Non-Self-Adjoint Eigenvalue Problems	3
A Two-Level Preconditioned Helmholtz Subspace Iterative Method for Maxwell Eigenvalue Problems	3
A Posteriori Error Estimates for Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes	3
A Finite Element Method for Hyperbolic Metamaterials with Applications for Hyperlens	3
Fractal Multiquadric Interpolation Functions	3
An Operator Preconditioned Combined Field Integral Equation for Electromagnetic Scattering	3
Piecewise Linear Interpolation of Noise in Finite Element Approximations of Parabolic SPDEs	3
A Multivariate Spline Based Collocation Method for Numerical Solution of Partial Differential Equations	2
A Hybrid High-Order Method for Quasilinear Elliptic Problems of Nonmonotone Type	2
Numerical Analysis for Maxwell Obstacle Problems in Electric Shielding	2
Corrigendum: A New Lagrange Multiplier Approach for Constructing Structure-Preserving Schemes, II. Bound Preserving	2
A Space-Time Multiscale Mortar Mixed Finite Element Method for Parabolic Equations	2
Spherical Designs for Approximations on Spherical Caps	2
An Entropy Structure Preserving Space-Time Formulation for Cross-Diffusion Systems: Analysis and Galerkin Discretization	2
Analysis of a Monte-Carlo Nystrom Method	2
Accuracy of Spectral Element Method for Wave, Parabolic, and Schrödinger Equations	2
Geometric Two-Scale Integrators for Highly Oscillatory System: Uniform Accuracy and Near Conservations	2
Analysis and Numerical Approximation of Stationary Second-Order Mean Field Game Partial Differential Inclusions	2
Asymptotic-Preserving and Energy Stable Dynamical Low-Rank Approximation	2
Suboptimality of Gauss–Hermite Quadrature and Optimality of the Trapezoidal Rule for Functions with Finite Smoothness	2
Analysis and Approximations of Dirichlet Boundary Control of Stokes Flows in the Energy Space	2
Gaussian Process Regression under Computational and Epistemic Misspecification	2
High Order Splitting Methods for SDEs Satisfying a Commutativity Condition	2
A New Analysis of Empirical Interpolation Methods and Chebyshev Greedy Algorithms	2
Gain Coefficients for Scrambled Halton Points	2
Computing Semigroups with Error Control	2
Leapfrog Methods for Relativistic Charged-Particle Dynamics	2
Polynomial Interpolation of Function Averages on Interval Segments	2
Solving PDEs with Incomplete Information	2
Learning Homogenization for Elliptic Operators	2
Criticality Measure-Based Error Estimates for Infinite Dimensional Optimization	2
Difference Finite Element Method for the 3D Steady Navier–Stokes Equations	2
Approximation of the Value Function for Optimal Control Problems on Stratified Domains	2
Moment Preserving Fourier–Galerkin Spectral Methods and Application to the Boltzmann Equation	2
A Conservative and Energy Stable Discontinuous Spectral Element Method for the Shifted Wave Equation in Second Order Form	2
Stable and Accurate Least Squares Radial Basis Function Approximations on Bounded Domains	2
Value-Gradient Based Formulation of Optimal Control Problem and Machine Learning Algorithm	2
Optimal \(\boldsymbol{{L^2}}\) Error Estimates of Unconditionally Stable Finite Element Schemes for the Cahn–Hilliard–Navier–Stokes System	2
Low Regularity Full Error Estimates for the Cubic Nonlinear Schrödinger Equation	2
A Posteriori Estimates for the Stochastic Total Variation Flow	2
Convergence Analysis of Inexact Two-Grid Methods: A Theoretical Framework	2
Projection Methods for Neural Field Equations	2
Convergence Analysis of Newton–Schur Method for Symmetric Elliptic Eigenvalue Problem	2