SIAM Journal on Numerical Analysis

Papers
(The TQCC of SIAM Journal on Numerical Analysis is 8. 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 2022-06-01 to 2026-06-01.)
ArticleCitations
Rational Methods for Abstract, Linear, Nonhomogeneous Problems without Order Reduction80
Ultra-Weak Least Squares Discretizations for Unique Continuation and Cauchy Problems40
A Study of Numerical Pollution of the Decoupled Algorithm for the Convection Model in Superposed Fluid and Porous Layers39
Nonlinear Eigenvalue Methods for Linear Pointwise Stability of Nonlinear Waves35
Exponential Integrators for Quasilinear Wave-Type Equations34
Sparse Monte Carlo Method for Nonlocal Diffusion Problems34
Exponential Convergence of \(hp\)-FEM for the Integral Fractional Laplacian in Polygons29
A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry29
Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property28
A Note on Sampling Recovery of Multivariate Functions in the Uniform Norm28
\({\boldsymbol{H^1}}\) -Norm Stability and Convergence of an L2-Type Method on Nonuniform Meshes for Subdiffusion Equation28
Numerical Reconstruction of Diffusion and Potential Coefficients from Two Observations: Decoupled Recovery and Error Estimates27
An Asymptotic Preserving Discontinuous Galerkin Method for a Linear Boltzmann Semiconductor Model26
VEM-Nitsche Fully Discrete Polytopal Scheme for Frictionless Contact-Mechanics25
A Robust Lower-Order Mixed Finite Element Method for a Strain Gradient Elastic Model24
Multiple Relaxation Exponential Runge–Kutta Methods for the Nonlinear Schrödinger Equation23
Finite-Element Domain Approximation for Maxwell Variational Problems on Curved Domains23
The Unique Continuation Problem for the Heat Equation Discretized with a High-Order Space-Time Nonconforming Method22
Localized Implicit Time Stepping for the Wave Equation22
A Posteriori Error Control for the Allen–Cahn Equation with Variable Mobility22
Quasi-Optimal Error Estimates for the Finite Element Approximation of Stable Harmonic Maps with Nodal Constraints21
Radial Complex Scaling for Anisotropic Scalar Resonance Problems21
A Uniform Preconditioner for a Newton Algorithm for Total Variation Minimization and Minimum-Surface Problems20
Numerical Staggered Schemes for the Free-Congested Navier--Stokes Equations20
Error Bounds for Discrete Minimizers of the Ginzburg–Landau Energy in the High-\(\boldsymbol{\kappa }\) Regime20
A Priori Error Bounds and Parameter Scalings for the Time-Relaxation Reduced Order Model19
Secant Acceleration of Sequential Residual Methods for Solving Large-Scale Nonlinear Systems of Equations19
Inverse Wave-Number-Dependent Source Problems for the Helmholtz Equation19
A Two-Level Block Preconditioned Jacobi–Davidson Method for Multiple and Clustered Eigenvalues of Elliptic Operators19
\(p\) -Robust Equilibrated Flux Reconstruction in \(\boldsymbol{H}(\textrm{curl})\) Based on Local Minimizations: Application to a Posteriori Analysis of the Curl-Curl Problem19
A Deformation-Based Framework for Learning Solution Mappings of PDEs Defined on Varying Domains18
Stability Results for Backward Nonlinear Diffusion Equations with Temporal Coupling Operator of Local and Nonlocal Type17
Complex Scaling for the Helmholtz Equation with Dirichlet Boundary Conditions in a Perturbed Half-Space17
Learning High-Dimensional McKean–Vlasov Forward-Backward Stochastic Differential Equations with General Distribution Dependence16
Locking-Free Hybrid High-Order Method for Linear Elasticity16
Multistage Discontinuous Petrov–Galerkin Time-Marching Scheme for Nonlinear Problems16
A Priori Analysis of a Tensor ROM for Parameter Dependent Parabolic Problems16
A Monotone Discretization for Integral Fractional Laplacian on Bounded Lipschitz Domains: Pointwise Error Estimates under Hölder Regularity16
Primal Hybrid Finite Element Method for the Helmholtz Equation16
A Probabilistic Scheme for Semilinear Nonlocal Diffusion Equations with Volume Constraints16
Uniform Substructuring Preconditioners for High Order FEM on Triangles and the Influence of Nodal Basis Functions15
Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows15
POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution15
Optimal \(\boldsymbol{L}^{\boldsymbol{2}}\) Error Analysis of a Loosely Coupled Finite Element Scheme for Thin-Structure Interactions14
Convergent FEM for a Membrane Model of Liquid Crystal Polymer Networks14
Geometric Low-Rank Approximation of the Zeitlin Model of Incompressible Fluids on the Sphere14
On Energy Laws and Stability of Runge--Kutta Methods for Linear Seminegative Problems13
Space-Time Virtual Elements for the Heat Equation13
Numerical Methods for Integral Equations of the Second Kind with NonSmooth Solutions of Bounded Variation13
Convergence in Total Variation of the Euler--Maruyama Scheme Applied to Diffusion Processes with Measurable Drift Coefficient and Additive Noise13
Stability and Error Analysis of a Second-Order Consistent Splitting Scheme for the Navier–Stokes Equations13
Numerical Methods and Analysis of Computing Quasiperiodic Systems13
On the Approximability and Curse of Dimensionality of Certain Classes of High-Dimensional Functions13
Adaptive Multilevel Monte Carlo for Probabilities13
Domain Decomposition Methods for the Monge–Ampère Equation13
Perfectly Matched Layer Method for the Wave Scattering Problem by a Step-Like Surface12
Analysis of Injection Operators in Geometric Multigrid Solvers for HDG Methods12
Convergence of the Hiptmair–Xu Preconditioner for \(\boldsymbol{H}\textbf{(curl)}\)-Elliptic Problems with Jump Coefficients (ii): Main Results12
Discrete Hyperbolic Curvature Flow in the Plane12
Scaling Optimized Hermite Approximation Methods12
Stein Variational Gradient Descent on Infinite-Dimensional Space and Applications to Statistical Inverse Problems12
A Convergence Analysis Of Lawson’s Iteration For Computing Polynomial And Rational Minimax Approximations12
Conforming Finite Element DIVDIV Complexes and the Application for the Linearized Einstein--Bianchi System11
Discrete Weak Duality of Hybrid High-Order Methods for Convex Minimization Problems11
On the Stability of Unconditionally Positive and Linear Invariants Preserving Time Integration Schemes11
A Local Discontinuous Galerkin Approximation for the \(\boldsymbol{p}\) -Navier–Stokes System, Part III: Convergence Rates for the Pressure11
Dispersion Analysis of CIP-FEM for the Helmholtz Equation11
Energy Stable and Maximum Bound Principle Preserving Schemes for the \(\boldsymbol {Q}\)-Tensor Flow of Liquid Crystals11
On the Coupling of the Curved Virtual Element Method with the One-Equation Boundary Element Method for 2D Exterior Helmholtz Problems11
A New Class of Splitting Methods That Preserve Ergodicity and Exponential Integrability for the Stochastic Langevin Equation11
Convergence Analysis of Discrete High-Index Saddle Dynamics11
A Fourth-Order Unfitted Characteristic Finite Element Method for Solving the Advection-Diffusion Equation on Time-Varying Domains11
On a New Class of BDF and IMEX Schemes for Parabolic Type Equations11
Orthogonal Polynomial Approximation and Extended Dynamic Mode Decomposition in Chaos10
Regularity Analysis and High-Order Time Stepping Scheme for Quasilinear Subdiffusion10
A Reynolds-SemiRobust Method with Hybrid Velocity and Pressure for the Unsteady Incompressible Navier–Stokes Equations10
Discrete Gradient Structure of a Second-Order Variable-Step Method for Nonlinear Integro-Differential Models10
Geometric Ergodicity for Hamiltonian Monte Carlo on Compact Manifolds10
Wasserstein Convergence Rates for Stochastic Particle Approximation of Boltzmann Models10
Randomized Least-Squares with Minimal Oversampling and Interpolation in General Spaces10
Analysis and Application of Two Novel Finite Element Methods for Solving Ziolkowski’s PML Model in the Integro-Differential Form10
An Energy-Stable Parametric Finite Element Method for the Planar Willmore Flow10
On the Superconvergence of a Hybridizable Discontinuous Galerkin Method for the Cahn–Hilliard Equation10
Convolution Quadrature for the Quasilinear Subdiffusion Equation10
Spectral Analysis of a Mixed Method for Linear Elasticity10
The Lanczos Tau Framework for Time-Delay Systems: Padé Approximation and Collocation Revisited10
On the Error Rate of Importance Sampling with Randomized Quasi-Monte Carlo10
Accuracy of the Ensemble Kalman Filter in the Near-Linear Setting9
\({H^m}\)-Conforming Virtual Elements in Arbitrary Dimension9
Analysis of a Filtered Time-Stepping Finite Element Method for Natural Convection Problems9
Efficient Monte Carlo Method for Integral Fractional Laplacian in Multiple Dimensions9
An Exponential Spectral Method Using VP Means for Semilinear Subdiffusion Equations with Rough Data9
Numerical Analysis of the Parallel Orbital-Updating Approach for Eigenvalue Problems9
Virtual Element Methods Without Extrinsic Stabilization9
A Taylor–Hood Finite Element Method for the Surface Stokes Problem Without Penalization9
Numerical Analysis for Convergence of a Sample-Wise Backpropagation Method for Training Stochastic Neural Networks9
Second Order in Time Finite Element Schemes for Curve Shortening Flow and Curve Diffusion9
Lévy Score Function and Score-Based Particle Algorithm for Nonlinear Lévy–Fokker–Planck Equations9
ContHutch++: Stochastic Trace Estimation For Implicit Integral Operators9
Preservation of Quadratic Invariants by Semiexplicit Symplectic Integrators for Nonseparable Hamiltonian Systems9
Improved High-Index Saddle Dynamics for Finding Saddle Points and Solution Landscape9
An Adaptive Spectral Method for Oscillatory Second-Order Linear ODEs with Frequency-Independent Cost8
Higher-Order Convergence of Perfectly Matched Layers in Three-Dimensional Biperiodic Surface Scattering Problems8
On Schrödingerization-Based Quantum Algorithms for Linear Dynamical Systems with Inhomogeneous Terms8
Improved Uniform Error Bounds on Time-Splitting Methods for Long-Time Dynamics of the Nonlinear Klein--Gordon Equation with Weak Nonlinearity8
Second Order Exponential Splittings in the Presence of Unbounded and Time-Dependent Operators: Construction and Convergence8
Mixed Finite Element Methods for Linear Cosserat Equations8
Analysis of Preintegration Followed by Quasi–Monte Carlo Integration for Distribution Functions and Densities8
Convergence of Anisotropic Mesh Adaptation via Metric Optimization8
Multilevel Monte Carlo Methods for the Dean–Kawasaki Equation from Fluctuating Hydrodynamics8
Isoparametric Unfitted BDF--Finite Element Method for PDEs on Evolving Domains8
Summation-by-Parts Operators for General Function Spaces8
The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems8
A Variable Time Step Time Filter Algorithm for the Geothermal System8
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