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	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
Numerical Reconstruction of Diffusion and Potential Coefficients from Two Observations: Decoupled Recovery and Error Estimates	25
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
Exponential Integrators for Quasilinear Wave-Type Equations	24
An Asymptotic Preserving Discontinuous Galerkin Method for a Linear Boltzmann Semiconductor Model	22
Sparse Monte Carlo Method for Nonlocal Diffusion Problems	22
Finite-Element Domain Approximation for Maxwell Variational Problems on Curved Domains	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
Numerical Staggered Schemes for the Free-Congested Navier--Stokes Equations	16
A Posteriori Error Control for the Allen–Cahn Equation with Variable Mobility	16
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
Secant Acceleration of Sequential Residual Methods for Solving Large-Scale Nonlinear Systems of Equations	15
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
Multistage Discontinuous Petrov–Galerkin Time-Marching Scheme for Nonlinear Problems	14
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
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
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
On Energy Laws and Stability of Runge--Kutta Methods for Linear Seminegative Problems	12
Space-Time Virtual Elements for the Heat Equation	12
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
Convergence in Total Variation of the Euler--Maruyama Scheme Applied to Diffusion Processes with Measurable Drift Coefficient and Additive Noise	11
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
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
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
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
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
Convolution Quadrature for the Quasilinear Subdiffusion Equation	8
ContHutch++: Stochastic Trace Estimation For Implicit Integral Operators	8
Virtual Element Methods Without Extrinsic Stabilization	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
Analysis of a Filtered Time-Stepping Finite Element Method for Natural Convection 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
Randomized Least-Squares with Minimal Oversampling and Interpolation in General Spaces	8
Numerical Analysis of the Parallel Orbital-Updating Approach for Eigenvalue Problems	8
Numerical Analysis for Convergence of a Sample-Wise Backpropagation Method for Training Stochastic Neural Networks	8
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
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
A New Thermodynamically Compatible Finite Volume Scheme for Magnetohydrodynamics	6
Wavenumber Explicit Convergence of a Multiscale Generalized Finite Element Method for Heterogeneous Helmholtz Problems	6
Optimization and Convergence of Numerical Attractors for Discrete-Time Quasi-Linear Lattice System	6
PML and High-Accuracy Boundary Integral Equation Solver for Wave Scattering by a Locally Defected Periodic Surface	6
Exponential Convergence of Deep Operator Networks for Elliptic Partial Differential Equations	6
Local Transparent Boundary Conditions for Wave Propagation in Fractal Trees (II). Error and Complexity Analysis	6
Sinc-$\theta$ Schemes for Backward Stochastic Differential Equations	6
Discontinuous Galerkin Methods for 3D–1D Systems	6
Numerical Approximation of Biharmonic Wave Maps into Spheres	6
Trefftz Discontinuous Galerkin Approximation of an Acoustic Waveguide	6
An Entropic Method for Discrete Systems with Gibbs Entropy	6
Provably Convergent Newton–Raphson Method: Theoretically Robust Recovery of Primitive Variables in Relativistic MHD	6
Stability and Error Analysis of IMEX SAV Schemes for the Magneto-Hydrodynamic Equations	6
Irrational-Window-Filter Projection Method and Application to Quasiperiodic Schrödinger Eigenproblems	6
A Monolithic Divergence-Conforming HDG Scheme for a Linear Fluid-Structure Interaction Model	6
Erratum: Analysis and Numerical Approximation of Stationary Second-Order Mean Field Game Partial Differential Inclusions	6
Formulae for Mixed Moments of Wiener Processes and a Stochastic Area Integral	6
Optimal Maximum Norm Estimates for Virtual Element Methods	6
Adaptive FEM for Parameter-Errors in Elliptic Linear-Quadratic Parameter Estimation Problems	6
Recovery Based Linear Finite Element Methods for Hamilton–Jacobi–Bellman Equation with Cordes Coefficients	6
On Maximal Regularity Estimates for Discontinuous Galerkin Time-Discrete Methods	6
Multiscale Hybrid-Mixed Methods for the Stokes and Brinkman Equations—A Priori Analysis	6
On Uncertainty Quantification of Eigenvalues and Eigenspaces with Higher Multiplicity	6
Applying an Oriented Divergence Theorem to Swept Face Remap	5
Finite Elements for div- and divdiv-Conforming Symmetric Tensors in Arbitrary Dimension	5
Finite Element Approximation of Large-Scale Isometric Deformations of Parametrized Surfaces	5
Adaptive Finite Element Approximations for Elliptic Problems using Regularized Forcing Data	5
A Convergent Evolving Finite Element Method with Artificial Tangential Motion for Surface Evolution under a Prescribed Velocity Field	5
The Discovery of Dynamics via Linear Multistep Methods and Deep Learning: Error Estimation	5
A Hypocoercivity-Exploiting Stabilized Finite Element Method for Kolmogorov Equation	5
Analysis of Complete Radiation Boundary Conditions for Maxwell’s Equations	5
How Sharp Are Error Bounds? –Lower Bounds on Quadrature Worst-Case Errors for Analytic Functions–	5
Stability of Variable-Step BDF2 and BDF3 Methods	5
A Two-Level Preconditioned Helmholtz Subspace Iterative Method for Maxwell Eigenvalue Problems	5
Space-Time Finite Element Methods for Distributed Optimal Control of the Wave Equation	5
Convergence Analysis of a Fully Discrete Energy-Stable Numerical Scheme for the Q-Tensor Flow of Liquid Crystals	5
Two-Scale Finite Element Approximation of a Homogenized Plate Model	5
Error Analysis for a Parabolic PDE Model Problem on a Coupled Moving Domain in a Fully Eulerian Framework	5
A Novel Mixed Spectral Method and Error Estimates for Maxwell Transmission Eigenvalue Problems	5
Frequency-Explicit A Posteriori Error Estimates for Finite Element Discretizations of Maxwell's Equations	5

Higher-Order Monte Carlo through Cubic Stratification	5
On the Convergence of Sobolev Gradient Flow for the Gross–Pitaevskii Eigenvalue Problem	5
The A Posteriori Error Estimates of the FE Approximation of Defective Eigenvalues for Non-Self-Adjoint Eigenvalue Problems	5
A New Lagrange Multiplier Approach for Constructing Structure Preserving Schemes, II. Bound Preserving	5
Continuous Time Limit of the Stochastic Ensemble Kalman Inversion: Strong Convergence Analysis	5
Bilinear Optimal Control for the Fractional Laplacian: Analysis and Discretization	5
Duality-Based Error Control for the Signorini Problem	5
An Operator Preconditioned Combined Field Integral Equation for Electromagnetic Scattering	4
Convergence of Renormalized Finite Element Methods for Heat Flow of Harmonic Maps	4
Error Analysis Based on Inverse Modified Differential Equations for Discovery of Dynamics Using Linear Multistep Methods and Deep Learning	4
A Posteriori Error Estimates for Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes	4
Approximating Volumetric Shape Gradients for Shape Optimization with Curved Boundaries Constrained by Parabolic PDEs	4
Rank-Adaptive Time Integration of Tree Tensor Networks	4
Explicit Runge–Kutta Methods that Alleviate Order Reduction	4
Quasi-Monte Carlo for Partial Differential Equations with Generalized Gaussian Input Uncertainty	4
A Discrete Velocity Numerical Scheme for the Two-Dimensional Bitemperature Euler System	4
Piecewise Linear Interpolation of Noise in Finite Element Approximations of Parabolic SPDEs	4
Harmonic Functions on Finitely Connected Tori	4
Finite Element Approximation of Stationary Fokker–Planck–Kolmogorov Equations with Application to Periodic Numerical Homogenization	4
On the Convergence to Local Limit of Nonlocal Models with Approximated Interaction Neighborhoods	4
Swarm-Based Gradient Descent Meets Simulated Annealing	4
An Equilibrated Flux A Posteriori Error Estimator for Defeaturing Problems	4
Kernel Interpolation of High Dimensional Scattered Data	4
Analysis of Local Discontinuous Galerkin Methods with Implicit-Explicit Time Marching for Linearized KdV Equations	4
Fractal Multiquadric Interpolation Functions	4
A Simplified Newton Method to Generate Snapshots for POD Models of Semilinear Optimal Control Problems	4
Dynamic Ritz Projection of Mean Curvature Flow and Optimal \(\boldsymbol{L^2}\) Convergence of Parametric FEM	4
A Finite Element Method for Hyperbolic Metamaterials with Applications for Hyperlens	4
Spectral ACMS: A Robust Localized Approximated Component Mode Synthesis Method	4
Robust Finite Elements for Linearized Magnetohydrodynamics	4
Novel Design and Analysis of Generalized Finite Element Methods Based on Locally Optimal Spectral Approximations	4
Convergence Analysis of the Monte Carlo Method for the Random Navier–Stokes–Fourier System	4
Moment Preserving Fourier–Galerkin Spectral Methods and Application to the Boltzmann Equation	4
A Unified Trapezoidal Quadrature Method for Singular and Hypersingular Boundary Integral Operators on Curved Surfaces	4
Finite Element Discretization of the Steady, Generalized Navier–Stokes Equations with Inhomogeneous Dirichlet Boundary Conditions	4
A Conservative and Energy Stable Discontinuous Spectral Element Method for the Shifted Wave Equation in Second Order Form	4
POD-ROM Methods: From a Finite Set of Snapshots to Continuous-in-Time Approximations	3
A Multivariate Spline Based Collocation Method for Numerical Solution of Partial Differential Equations	3
A New Analysis of Empirical Interpolation Methods and Chebyshev Greedy Algorithms	3
Gaussian Process Regression under Computational and Epistemic Misspecification	3
Analysis and Approximations of Dirichlet Boundary Control of Stokes Flows in the Energy Space	3
Criticality Measure-Based Error Estimates for Infinite Dimensional Optimization	3
A Posteriori Estimates for the Stochastic Total Variation Flow	3
A Localized Orthogonal Decomposition Method for Heterogeneous Stokes Problems	3
Achieving High Convergence Rates by Quasi-Monte Carlo and Importance Sampling for Unbounded Integrands	3
Optimal \(\boldsymbol{{L^2}}\) Error Estimates of Unconditionally Stable Finite Element Schemes for the Cahn–Hilliard–Navier–Stokes System	3
Analysis of a Monte-Carlo Nystrom Method	3
Suboptimality of Gauss–Hermite Quadrature and Optimality of the Trapezoidal Rule for Functions with Finite Smoothness	3
Geometric Two-Scale Integrators for Highly Oscillatory System: Uniform Accuracy and Near Conservations	3
Stable and Accurate Least Squares Radial Basis Function Approximations on Bounded Domains	3
Analysis and Numerical Approximation of Stationary Second-Order Mean Field Game Partial Differential Inclusions	3
Polynomial Interpolation of Function Averages on Interval Segments	3
Difference Finite Element Method for the 3D Steady Navier–Stokes Equations	3
Numerical Analysis for Maxwell Obstacle Problems in Electric Shielding	3
Corrigendum: A New Lagrange Multiplier Approach for Constructing Structure-Preserving Schemes, II. Bound Preserving	3
Convergence Analysis of Inexact Two-Grid Methods: A Theoretical Framework	3
Value-Gradient Based Formulation of Optimal Control Problem and Machine Learning Algorithm	3
A Mass Conserving Mixed $hp$-FEM Scheme for Stokes Flow. Part III: Implementation and Preconditioning	3
Low Regularity Full Error Estimates for the Cubic Nonlinear Schrödinger Equation	3
A Space-Time Multiscale Mortar Mixed Finite Element Method for Parabolic Equations	3
Asymptotic-Preserving and Energy Stable Dynamical Low-Rank Approximation	3
An Entropy Structure Preserving Space-Time Formulation for Cross-Diffusion Systems: Analysis and Galerkin Discretization	3
An Extension of the Euler–Maclaurin Summation Formula to Functions with Near Singularity	3
Spherical Designs for Approximations on Spherical Caps	3
Gain Coefficients for Scrambled Halton Points	3
A Hybrid High-Order Method for Quasilinear Elliptic Problems of Nonmonotone Type	3
High Order Splitting Methods for SDEs Satisfying a Commutativity Condition	3
Approximation of the Value Function for Optimal Control Problems on Stratified Domains	3
Projection Methods for Neural Field Equations	3
Learning Homogenization for Elliptic Operators	3
Cut Finite Element Method for Divergence-Free Approximation of Incompressible Flow: A Lagrange Multiplier Approach	3
Error Estimates for Euler Discretization of High-Index Saddle Dynamics	3
Spherical Zone t-Designs for Numerical Integration and Approximation	3
Computing Semigroups with Error Control	3
Convergence Analysis of Newton–Schur Method for Symmetric Elliptic Eigenvalue Problem	3
Accuracy of Spectral Element Method for Wave, Parabolic, and Schrödinger Equations	3
A Stochastic Preconditioned Douglas–Rachford Splitting Method for Saddle-Point Problems	3