SIAM Journal on Numerical Analysis

Article	Citations
Ultra-Weak Least Squares Discretizations for Unique Continuation and Cauchy Problems	86
A Study of Numerical Pollution of the Decoupled Algorithm for the Convection Model in Superposed Fluid and Porous Layers	47
Nonlinear Eigenvalue Methods for Linear Pointwise Stability of Nonlinear Waves	44
Exponential Convergence of \(hp\)-FEM for the Integral Fractional Laplacian in Polygons	37
Sparse Monte Carlo Method for Nonlocal Diffusion Problems	37
An Asymptotic Preserving Discontinuous Galerkin Method for a Linear Boltzmann Semiconductor Model	37
A Robust Lower-Order Mixed Finite Element Method for a Strain Gradient Elastic Model	31
Numerical Reconstruction of Diffusion and Potential Coefficients from Two Observations: Decoupled Recovery and Error Estimates	30
A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry	30
Finite-Element Domain Approximation for Maxwell Variational Problems on Curved Domains	29
VEM-Nitsche Fully Discrete Polytopal Scheme for Frictionless Contact-Mechanics	28
Rational Methods for Abstract, Linear, Nonhomogeneous Problems without Order Reduction	28
Approximation of Viscous Transport and Conservative Equations with One Sided Lipschitz Velocity Fields	26
Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property	26
\({\boldsymbol{H^1}}\) -Norm Stability and Convergence of an L2-Type Method on Nonuniform Meshes for Subdiffusion Equation	25
Coarse Scrambling for Sobol’ and Niederreiter Sequences	24
Multiple Relaxation Exponential Runge–Kutta Methods for the Nonlinear Schrödinger Equation	24
The Unique Continuation Problem for the Heat Equation Discretized with a High-Order Space-Time Nonconforming Method	24
Localized Implicit Time Stepping for the Wave Equation	24
A Posteriori Error Control for the Allen–Cahn Equation with Variable Mobility	23
Quasi-Optimal Error Estimates for the Finite Element Approximation of Stable Harmonic Maps with Nodal Constraints	22
Radial Complex Scaling for Anisotropic Scalar Resonance Problems	22
A Uniform Preconditioner for a Newton Algorithm for Total Variation Minimization and Minimum-Surface Problems	22
A Priori Error Bounds and Parameter Scalings for the Time-Relaxation Reduced Order Model	21
Error Bounds for Discrete Minimizers of the Ginzburg–Landau Energy in the High-\(\boldsymbol{\kappa }\) Regime	21

\(p\) -Robust Equilibrated Flux Reconstruction in \(\boldsymbol{H}(\textrm{curl})\) Based on Local Minimizations: Application to a Posteriori Analysis of the Curl-Curl Problem	21
Inverse Wave-Number-Dependent Source Problems for the Helmholtz Equation	20
A Deformation-Based Framework for Learning Solution Mappings of PDEs Defined on Varying Domains	19
Secant Acceleration of Sequential Residual Methods for Solving Large-Scale Nonlinear Systems of Equations	19
A Two-Level Block Preconditioned Jacobi–Davidson Method for Multiple and Clustered Eigenvalues of Elliptic Operators	19
Learning High-Dimensional McKean–Vlasov Forward-Backward Stochastic Differential Equations with General Distribution Dependence	18
Complex Scaling for the Helmholtz Equation with Dirichlet Boundary Conditions in a Perturbed Half-Space	18
Locking-Free Hybrid High-Order Method for Linear Elasticity	17
POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution	17
Primal Hybrid Finite Element Method for the Helmholtz Equation	17
Multistage Discontinuous Petrov–Galerkin Time-Marching Scheme for Nonlinear Problems	17
A Priori Analysis of a Tensor ROM for Parameter Dependent Parabolic Problems	16
A Probabilistic Scheme for Semilinear Nonlocal Diffusion Equations with Volume Constraints	16
Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows	16
Uniform Substructuring Preconditioners for High Order FEM on Triangles and the Influence of Nodal Basis Functions	16
A Monotone Discretization for Integral Fractional Laplacian on Bounded Lipschitz Domains: Pointwise Error Estimates under Hölder Regularity	16
Geometric Low-Rank Approximation of the Zeitlin Model of Incompressible Fluids on the Sphere	15
Convergent FEM for a Membrane Model of Liquid Crystal Polymer Networks	15
Domain Decomposition Methods for the Monge–Ampère Equation	15
Optimal \(\boldsymbol{L}^{\boldsymbol{2}}\) Error Analysis of a Loosely Coupled Finite Element Scheme for Thin-Structure Interactions	15
On Energy Laws and Stability of Runge--Kutta Methods for Linear Seminegative Problems	14
On the Approximability and Curse of Dimensionality of Certain Classes of High-Dimensional Functions	14
Space-Time Virtual Elements for the Heat Equation	14
Numerical Methods and Analysis of Computing Quasiperiodic Systems	14
Adaptive Multilevel Monte Carlo for Probabilities	14
Numerical Methods for Integral Equations of the Second Kind with NonSmooth Solutions of Bounded Variation	14
Stability and Error Analysis of a Second-Order Consistent Splitting Scheme for the Navier–Stokes Equations	13
Scaling Optimized Hermite Approximation Methods	13
Perfectly Matched Layer Method for the Wave Scattering Problem by a Step-Like Surface	13
Analysis of Injection Operators in Geometric Multigrid Solvers for HDG Methods	13
Stein Variational Gradient Descent on Infinite-Dimensional Space and Applications to Statistical Inverse Problems	13
Discrete Hyperbolic Curvature Flow in the Plane	13
A Convergence Analysis Of Lawson’s Iteration For Computing Polynomial And Rational Minimax Approximations	13
Dispersion Analysis of CIP-FEM for the Helmholtz Equation	13
Convergence of the Hiptmair–Xu Preconditioner for \(\boldsymbol{H}\textbf{(curl)}\)-Elliptic Problems with Jump Coefficients (ii): Main Results	13
A Fourth-Order Unfitted Characteristic Finite Element Method for Solving the Advection-Diffusion Equation on Time-Varying Domains	12
The Lanczos Tau Framework for Time-Delay Systems: Padé Approximation and Collocation Revisited	12
Discrete Weak Duality of Hybrid High-Order Methods for Convex Minimization Problems	12
On the Coupling of the Curved Virtual Element Method with the One-Equation Boundary Element Method for 2D Exterior Helmholtz Problems	12
On the Stability of Unconditionally Positive and Linear Invariants Preserving Time Integration Schemes	12
Energy Stable and Maximum Bound Principle Preserving Schemes for the \(\boldsymbol {Q}\)-Tensor Flow of Liquid Crystals	12
A New Class of Splitting Methods That Preserve Ergodicity and Exponential Integrability for the Stochastic Langevin Equation	12
Convergence Analysis of Discrete High-Index Saddle Dynamics	11
Orthogonal Polynomial Approximation and Extended Dynamic Mode Decomposition in Chaos	11
\({H^m}\)-Conforming Virtual Elements in Arbitrary Dimension	11
Discrete Gradient Structure of a Second-Order Variable-Step Method for Nonlinear Integro-Differential Models	11
Geometric Ergodicity for Hamiltonian Monte Carlo on Compact Manifolds	11
A Reynolds-SemiRobust Method with Hybrid Velocity and Pressure for the Unsteady Incompressible Navier–Stokes Equations	11
On the Superconvergence of a Hybridizable Discontinuous Galerkin Method for the Cahn–Hilliard Equation	11
On the Error Rate of Importance Sampling with Randomized Quasi-Monte Carlo	11

On a New Class of BDF and IMEX Schemes for Parabolic Type Equations	11
An Energy-Stable Parametric Finite Element Method for the Planar Willmore Flow	11
Lévy Score Function and Score-Based Particle Algorithm for Nonlinear Lévy–Fokker–Planck Equations	11
A Local Discontinuous Galerkin Approximation for the \(\boldsymbol{p}\) -Navier–Stokes System, Part III: Convergence Rates for the Pressure	11
Low-Order Finite Element Complex with Application to a Fourth-Order Elliptic Singular Perturbation Problem	10
On the Convergence of the Pseudospectral Approximation of Reproduction Numbers for Age-Structured Models	10
Convolution Quadrature for the Quasilinear Subdiffusion Equation	10
A Taylor–Hood Finite Element Method for the Surface Stokes Problem Without Penalization	10
Numerical Analysis of the Parallel Orbital-Updating Approach for Eigenvalue Problems	10
Analysis and Application of Two Novel Finite Element Methods for Solving Ziolkowski’s PML Model in the Integro-Differential Form	10
Regularity Analysis and High-Order Time Stepping Scheme for Quasilinear Subdiffusion	10
Wasserstein Convergence Rates for Stochastic Particle Approximation of Boltzmann Models	10
Second Order in Time Finite Element Schemes for Curve Shortening Flow and Curve Diffusion	10
Preservation of Quadratic Invariants by Semiexplicit Symplectic Integrators for Nonseparable Hamiltonian Systems	10
Randomized Least-Squares with Minimal Oversampling and Interpolation in General Spaces	10
Spectral Analysis of a Mixed Method for Linear Elasticity	10
An Exponential Spectral Method Using VP Means for Semilinear Subdiffusion Equations with Rough Data	10
Virtual Element Methods Without Extrinsic Stabilization	10
Isoparametric Unfitted BDF--Finite Element Method for PDEs on Evolving Domains	9
A Variable Time Step Time Filter Algorithm for the Geothermal System	9
ContHutch++: Stochastic Trace Estimation For Implicit Integral Operators	9
Efficient Monte Carlo Method for Integral Fractional Laplacian in Multiple Dimensions	9
Higher-Order Convergence of Perfectly Matched Layers in Three-Dimensional Biperiodic Surface Scattering Problems	9
Analysis of Preintegration Followed by Quasi–Monte Carlo Integration for Distribution Functions and Densities	9
A Hybridizable Discontinuous Galerkin Method for the Miscible Displacement Problem under Minimal Regularity	9
Improved High-Index Saddle Dynamics for Finding Saddle Points and Solution Landscape	9
Accuracy of the Ensemble Kalman Filter in the Near-Linear Setting	9
Summation-by-Parts Operators for General Function Spaces	9
Second Order Exponential Splittings in the Presence of Unbounded and Time-Dependent Operators: Construction and Convergence	9
Multilevel Monte Carlo Methods for the Dean–Kawasaki Equation from Fluctuating Hydrodynamics	9
Improved Uniform Error Bounds on Time-Splitting Methods for Long-Time Dynamics of the Nonlinear Klein--Gordon Equation with Weak Nonlinearity	9
Analysis of a Filtered Time-Stepping Finite Element Method for Natural Convection Problems	9
Numerical Analysis for Convergence of a Sample-Wise Backpropagation Method for Training Stochastic Neural Networks	9
An Adaptive Spectral Method for Oscillatory Second-Order Linear ODEs with Frequency-Independent Cost	9
The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems	8
Multiscale Hybrid-Mixed Methods for the Stokes and Brinkman Equations—A Priori Analysis	8
Trefftz Discontinuous Galerkin Approximation of an Acoustic Waveguide	8
Erratum: Analysis and Numerical Approximation of Stationary Second-Order Mean Field Game Partial Differential Inclusions	8
Mixed Finite Element Methods for Linear Cosserat Equations	8
Equations with Infinite Delay: Pseudospectral Discretization for Numerical Stability and Bifurcation in an Abstract Framework	8
Error Estimation of the Relaxation Finite Difference Scheme for the Nonlinear Schrödinger Equation	8
Numerical Approximation of Biharmonic Wave Maps into Spheres	8
Hierarchical Superlocalized Orthogonal Decomposition Method	8
On Schrödingerization-Based Quantum Algorithms for Linear Dynamical Systems with Inhomogeneous Terms	8
A New Thermodynamically Compatible Finite Volume Scheme for Magnetohydrodynamics	8
Formulae for Mixed Moments of Wiener Processes and a Stochastic Area Integral	8
Numerical Solution of Free Stochastic Differential Equations	7
Finite Element Approximation of Large-Scale Isometric Deformations of Parametrized Surfaces	7
Error Analysis of a Conforming Finite Element Method for the Modified Electromagnetic Transmission Eigenvalue Problem	7
On the Convergence of Sobolev Gradient Flow for the Gross–Pitaevskii Eigenvalue Problem	7
Optimization and Convergence of Numerical Attractors for Discrete-Time Quasi-Linear Lattice System	7
Exponential Convergence of Deep Operator Networks for Elliptic Partial Differential Equations	7
Irrational-Window-Filter Projection Method and Application to Quasiperiodic Schrödinger Eigenproblems	7
An Entropic Method for Discrete Systems with Gibbs Entropy	7
PML and High-Accuracy Boundary Integral Equation Solver for Wave Scattering by a Locally Defected Periodic Surface	7
Provably Convergent Newton–Raphson Method: Theoretically Robust Recovery of Primitive Variables in Relativistic MHD	7
Wavenumber Explicit Convergence of a Multiscale Generalized Finite Element Method for Heterogeneous Helmholtz Problems	7
Recovery Based Linear Finite Element Methods for Hamilton–Jacobi–Bellman Equation with Cordes Coefficients	7
Support Graph Preconditioners for Off-Lattice Cell-Based Models	7
A New Sparsity Promoting Residual Transform Operator for Lasso Regression	7
How Sharp Are Error Bounds? –Lower Bounds on Quadrature Worst-Case Errors for Analytic Functions–	7
A Two-Level Preconditioned Helmholtz Subspace Iterative Method for Maxwell Eigenvalue Problems	7
Convergence of Regularized Particle Filters for Stochastic Reaction Networks	7
Discontinuous Galerkin Methods for 3D–1D Systems	7
On Uncertainty Quantification of Eigenvalues and Eigenspaces with Higher Multiplicity	7
Finite Elements for div- and divdiv-Conforming Symmetric Tensors in Arbitrary Dimension	6
Higher-Order Monte Carlo through Cubic Stratification	6
Adaptive Finite Element Approximations for Elliptic Problems using Regularized Forcing Data	6
Analysis of Complete Radiation Boundary Conditions for Maxwell’s Equations	6
A Novel Mixed Spectral Method and Error Estimates for Maxwell Transmission Eigenvalue Problems	6
Convergence Analysis of a Fully Discrete Energy-Stable Numerical Scheme for the Q-Tensor Flow of Liquid Crystals	6
The A Posteriori Error Estimates of the FE Approximation of Defective Eigenvalues for Non-Self-Adjoint Eigenvalue Problems	6
On the Convergence of Split Exponential Integrators for Semilinear Parabolic Problems	6
Space-Time Finite Element Methods for Distributed Optimal Control of the Wave Equation	6
Duality-Based Error Control for the Signorini Problem	6
Stability of Variable-Step BDF2 and BDF3 Methods	6
Applying an Oriented Divergence Theorem to Swept Face Remap	6
A Convergent Evolving Finite Element Method with Artificial Tangential Motion for Surface Evolution under a Prescribed Velocity Field	6
Efficient Numerical Reconstruction of Wave Equation Sources via Droplet-Induced Asymptotics	6
Error Analysis for a Parabolic PDE Model Problem on a Coupled Moving Domain in a Fully Eulerian Framework	6

A Hypocoercivity-Exploiting Stabilized Finite Element Method for Kolmogorov Equation	6
Piecewise Linear Interpolation of Noise in Finite Element Approximations of Parabolic SPDEs	5
Finite Element Approximation of Stationary Fokker–Planck–Kolmogorov Equations with Application to Periodic Numerical Homogenization	5
Sobolev–Poincaré Inequalities for Piecewise \(\mathbf{W}\)\(^{{1,p}}\) Functions over General Polytopic Meshes	5
Rank-Adaptive Time Integration of Tree Tensor Networks	5
An Operator Preconditioned Combined Field Integral Equation for Electromagnetic Scattering	5
Continuous Time Limit of the Stochastic Ensemble Kalman Inversion: Strong Convergence Analysis	5
A Finite Element Method for Hyperbolic Metamaterials with Applications for Hyperlens	5
Uniform Semiclassical Observable Error Bound of Trotter–Suzuki Splitting: A Simple Algebraic Proof	5
Analysis of Local Discontinuous Galerkin Methods with Implicit-Explicit Time Marching for Linearized KdV Equations	5
An Equilibrated Flux A Posteriori Error Estimator for Defeaturing Problems	5
Quasi-Monte Carlo for Partial Differential Equations with Generalized Gaussian Input Uncertainty	5
Convergence Analysis of the Monte Carlo Method for the Random Navier–Stokes–Fourier System	5
Swarm-Based Gradient Descent Meets Simulated Annealing	5
Bilinear Optimal Control for the Fractional Laplacian: Analysis and Discretization	5
Approximating Volumetric Shape Gradients for Shape Optimization with Curved Boundaries Constrained by Parabolic PDEs	5
Analysis of BDDC Preconditioners for Nonconforming Polytopal Hybrid Discretization Methods	5
Error Analysis Based on Inverse Modified Differential Equations for Discovery of Dynamics Using Linear Multistep Methods and Deep Learning	5
A Unified Trapezoidal Quadrature Method for Singular and Hypersingular Boundary Integral Operators on Curved Surfaces	5
A Simplified Newton Method to Generate Snapshots for POD Models of Semilinear Optimal Control Problems	5
Robust Finite Elements for Linearized Magnetohydrodynamics	5
Dynamic Ritz Projection of Mean Curvature Flow and Optimal \(\boldsymbol{L^2}\) Convergence of Parametric FEM	5
On the Convergence to Local Limit of Nonlocal Models with Approximated Interaction Neighborhoods	5
A Posteriori Error Estimates for Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes	5
Spectral ACMS: A Robust Localized Approximated Component Mode Synthesis Method	5
The Discovery of Dynamics via Linear Multistep Methods and Deep Learning: Error Estimation	5
Harmonic Functions on Finitely Connected Tori	5
Two-Scale Finite Element Approximation of a Homogenized Plate Model	5
Kernel Interpolation of High Dimensional Scattered Data	5
A Hybrid High-Order Method for Quasilinear Elliptic Problems of Nonmonotone Type	4
High Order Splitting Methods for SDEs Satisfying a Commutativity Condition	4
Gaussian Process Regression under Computational and Epistemic Misspecification	4
Corrigendum: A New Lagrange Multiplier Approach for Constructing Structure-Preserving Schemes, II. Bound Preserving	4
A Semi-Lagrangian Scheme on Embedded Manifolds Using Generalized Local Polynomial Reproductions	4
Criticality Measure-Based Error Estimates for Infinite Dimensional Optimization	4
Geometric Two-Scale Integrators for Highly Oscillatory System: Uniform Accuracy and Near Conservations	4
Spherical Designs for Approximations on Spherical Caps	4
A Posteriori Estimates for the Stochastic Total Variation Flow	4
Quasi-Optimal Time-Space Discretizations for a Class of Nonlinear Parabolic PDEs	4
A New Analysis of Empirical Interpolation Methods and Chebyshev Greedy Algorithms	4
Moment Preserving Fourier–Galerkin Spectral Methods and Application to the Boltzmann Equation	4
Explicit Runge–Kutta Methods that Alleviate Order Reduction	4
A Posteriori Error Control for Nonconvex Problems via Calibration	4
An Extension of the Euler–Maclaurin Summation Formula to Functions with Near Singularity	4
Unfitted Hybrid High-Order Methods Stabilized by Polynomial Extension for Elliptic Interface Problems	4
A Stochastic Preconditioned Douglas–Rachford Splitting Method for Saddle-Point Problems	4
Difference Finite Element Method for the 3D Steady Navier–Stokes Equations	4
Convergence Analysis of Newton–Schur Method for Symmetric Elliptic Eigenvalue Problem	4
A Multivariate Spline Based Collocation Method for Numerical Solution of Partial Differential Equations	4
Finite Difference Schemes for Hamilton–Jacobi Equation on the Wasserstein Space on Graphs	4
Finite Element Discretization of the Steady, Generalized Navier–Stokes Equations with Inhomogeneous Dirichlet Boundary Conditions	4
Fractal Multiquadric Interpolation Functions	4
Approximation of the Value Function for Optimal Control Problems on Stratified Domains	4
Suboptimality of Gauss–Hermite Quadrature and Optimality of the Trapezoidal Rule for Functions with Finite Smoothness	4
A Space-Time Multiscale Mortar Mixed Finite Element Method for Parabolic Equations	4
Stable and Accurate Least Squares Radial Basis Function Approximations on Bounded Domains	4
Asymptotic-Preserving and Energy Stable Dynamical Low-Rank Approximation	4
On Bernoulli’s Method	3
A Localized Orthogonal Decomposition Method for Heterogeneous Stokes Problems	3
Low Regularity Full Error Estimates for the Cubic Nonlinear Schrödinger Equation	3
Solving PDEs with Incomplete Information	3
Projection Methods for Neural Field Equations	3
Analysis and Numerical Approximation of Stationary Second-Order Mean Field Game Partial Differential Inclusions	3
Optimal \(\boldsymbol{{L^2}}\) Error Estimates of Unconditionally Stable Finite Element Schemes for the Cahn–Hilliard–Navier–Stokes System	3
Finite Element Method for a Nonlinear Perfectly Matched Layer Helmholtz Equation with High Wave Number	3
Leapfrog Methods for Relativistic Charged-Particle Dynamics	3
Analytic and Gevrey Class Regularity for Parametric Elliptic Eigenvalue Problems and Applications	3
Implicit and Fully Discrete Approximation of the Supercooled Stefan Problem in the Presence of Blow-Ups	3
Error Analysis of BDF 1–6 Time-Stepping Methods for the Transient Stokes Problem: Velocity and Pressure Estimates	3
Error Estimates for Euler Discretization of High-Index Saddle Dynamics	3
POD-ROM Methods: From a Finite Set of Snapshots to Continuous-in-Time Approximations	3
Spherical Zone t-Designs for Numerical Integration and Approximation	3
Learning Homogenization for Elliptic Operators	3
Achieving High Convergence Rates by Quasi-Monte Carlo and Importance Sampling for Unbounded Integrands	3
Gain Coefficients for Scrambled Halton Points	3
Direct Guaranteed Lower Eigenvalue Bounds with Optimal a Priori Convergence Rates for the Bi-Laplacian	3
Dropout Ensemble Kalman Inversion for High Dimensional Inverse Problems	3
Convergence Estimates of Regularized Solutions to Inverse Space-Dependent Source Problems with Time-Dependent Boundary Measurement	3
Generalized Gentlest Ascent Dynamics Methods for High-Index Saddle Points	3
Cut Finite Element Method for Divergence-Free Approximation of Incompressible Flow: A Lagrange Multiplier Approach	3
A Discontinuous Petrov–Galerkin Method for Reissner–Mindlin Plates	3
Convergence of ParaOpt for General Runge–Kutta Time Discretizations	3
Polynomial Interpolation of Function Averages on Interval Segments	3
Value-Gradient Based Formulation of Optimal Control Problem and Machine Learning Algorithm	3
Global Convergence of Adaptive Least-Squares Finite Element Methods for Nonlinear PDEs	3
Parameterized Wasserstein Hamiltonian Flow	3
Contraction and Convergence Rates for Discretized Kinetic Langevin Dynamics	3