SIAM Journal on Numerical Analysis

Papers
(The TQCC of SIAM Journal on Numerical Analysis is 9. 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 2022-08-01 to 2026-08-01.)
ArticleCitations
Ultra-Weak Least Squares Discretizations for Unique Continuation and Cauchy Problems86
A Study of Numerical Pollution of the Decoupled Algorithm for the Convection Model in Superposed Fluid and Porous Layers47
Nonlinear Eigenvalue Methods for Linear Pointwise Stability of Nonlinear Waves44
Exponential Convergence of \(hp\)-FEM for the Integral Fractional Laplacian in Polygons37
Sparse Monte Carlo Method for Nonlocal Diffusion Problems37
An Asymptotic Preserving Discontinuous Galerkin Method for a Linear Boltzmann Semiconductor Model37
A Robust Lower-Order Mixed Finite Element Method for a Strain Gradient Elastic Model31
Numerical Reconstruction of Diffusion and Potential Coefficients from Two Observations: Decoupled Recovery and Error Estimates30
A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry30
Finite-Element Domain Approximation for Maxwell Variational Problems on Curved Domains29
VEM-Nitsche Fully Discrete Polytopal Scheme for Frictionless Contact-Mechanics28
Rational Methods for Abstract, Linear, Nonhomogeneous Problems without Order Reduction28
Approximation of Viscous Transport and Conservative Equations with One Sided Lipschitz Velocity Fields26
Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property26
\({\boldsymbol{H^1}}\) -Norm Stability and Convergence of an L2-Type Method on Nonuniform Meshes for Subdiffusion Equation25
Coarse Scrambling for Sobol’ and Niederreiter Sequences24
Multiple Relaxation Exponential Runge–Kutta Methods for the Nonlinear Schrödinger Equation24
The Unique Continuation Problem for the Heat Equation Discretized with a High-Order Space-Time Nonconforming Method24
Localized Implicit Time Stepping for the Wave Equation24
A Posteriori Error Control for the Allen–Cahn Equation with Variable Mobility23
Quasi-Optimal Error Estimates for the Finite Element Approximation of Stable Harmonic Maps with Nodal Constraints22
Radial Complex Scaling for Anisotropic Scalar Resonance Problems22
A Uniform Preconditioner for a Newton Algorithm for Total Variation Minimization and Minimum-Surface Problems22
A Priori Error Bounds and Parameter Scalings for the Time-Relaxation Reduced Order Model21
Error Bounds for Discrete Minimizers of the Ginzburg–Landau Energy in the High-\(\boldsymbol{\kappa }\) Regime21
\(p\) -Robust Equilibrated Flux Reconstruction in \(\boldsymbol{H}(\textrm{curl})\) Based on Local Minimizations: Application to a Posteriori Analysis of the Curl-Curl Problem21
Inverse Wave-Number-Dependent Source Problems for the Helmholtz Equation20
A Deformation-Based Framework for Learning Solution Mappings of PDEs Defined on Varying Domains19
Secant Acceleration of Sequential Residual Methods for Solving Large-Scale Nonlinear Systems of Equations19
A Two-Level Block Preconditioned Jacobi–Davidson Method for Multiple and Clustered Eigenvalues of Elliptic Operators19
Learning High-Dimensional McKean–Vlasov Forward-Backward Stochastic Differential Equations with General Distribution Dependence18
Complex Scaling for the Helmholtz Equation with Dirichlet Boundary Conditions in a Perturbed Half-Space18
Locking-Free Hybrid High-Order Method for Linear Elasticity17
POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution17
Primal Hybrid Finite Element Method for the Helmholtz Equation17
Multistage Discontinuous Petrov–Galerkin Time-Marching Scheme for Nonlinear Problems17
A Priori Analysis of a Tensor ROM for Parameter Dependent Parabolic Problems16
A Probabilistic Scheme for Semilinear Nonlocal Diffusion Equations with Volume Constraints16
Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows16
Uniform Substructuring Preconditioners for High Order FEM on Triangles and the Influence of Nodal Basis Functions16
A Monotone Discretization for Integral Fractional Laplacian on Bounded Lipschitz Domains: Pointwise Error Estimates under Hölder Regularity16
Geometric Low-Rank Approximation of the Zeitlin Model of Incompressible Fluids on the Sphere15
Convergent FEM for a Membrane Model of Liquid Crystal Polymer Networks15
Domain Decomposition Methods for the Monge–Ampère Equation15
Optimal \(\boldsymbol{L}^{\boldsymbol{2}}\) Error Analysis of a Loosely Coupled Finite Element Scheme for Thin-Structure Interactions15
On Energy Laws and Stability of Runge--Kutta Methods for Linear Seminegative Problems14
On the Approximability and Curse of Dimensionality of Certain Classes of High-Dimensional Functions14
Space-Time Virtual Elements for the Heat Equation14
Numerical Methods and Analysis of Computing Quasiperiodic Systems14
Adaptive Multilevel Monte Carlo for Probabilities14
Numerical Methods for Integral Equations of the Second Kind with NonSmooth Solutions of Bounded Variation14
Stability and Error Analysis of a Second-Order Consistent Splitting Scheme for the Navier–Stokes Equations13
Scaling Optimized Hermite Approximation Methods13
Perfectly Matched Layer Method for the Wave Scattering Problem by a Step-Like Surface13
Analysis of Injection Operators in Geometric Multigrid Solvers for HDG Methods13
Stein Variational Gradient Descent on Infinite-Dimensional Space and Applications to Statistical Inverse Problems13
Discrete Hyperbolic Curvature Flow in the Plane13
A Convergence Analysis Of Lawson’s Iteration For Computing Polynomial And Rational Minimax Approximations13
Dispersion Analysis of CIP-FEM for the Helmholtz Equation13
Convergence of the Hiptmair–Xu Preconditioner for \(\boldsymbol{H}\textbf{(curl)}\)-Elliptic Problems with Jump Coefficients (ii): Main Results13
A Fourth-Order Unfitted Characteristic Finite Element Method for Solving the Advection-Diffusion Equation on Time-Varying Domains12
The Lanczos Tau Framework for Time-Delay Systems: Padé Approximation and Collocation Revisited12
Discrete Weak Duality of Hybrid High-Order Methods for Convex Minimization Problems12
On the Coupling of the Curved Virtual Element Method with the One-Equation Boundary Element Method for 2D Exterior Helmholtz Problems12
On the Stability of Unconditionally Positive and Linear Invariants Preserving Time Integration Schemes12
Energy Stable and Maximum Bound Principle Preserving Schemes for the \(\boldsymbol {Q}\)-Tensor Flow of Liquid Crystals12
A New Class of Splitting Methods That Preserve Ergodicity and Exponential Integrability for the Stochastic Langevin Equation12
Convergence Analysis of Discrete High-Index Saddle Dynamics11
Orthogonal Polynomial Approximation and Extended Dynamic Mode Decomposition in Chaos11
\({H^m}\)-Conforming Virtual Elements in Arbitrary Dimension11
Discrete Gradient Structure of a Second-Order Variable-Step Method for Nonlinear Integro-Differential Models11
Geometric Ergodicity for Hamiltonian Monte Carlo on Compact Manifolds11
A Reynolds-SemiRobust Method with Hybrid Velocity and Pressure for the Unsteady Incompressible Navier–Stokes Equations11
On the Superconvergence of a Hybridizable Discontinuous Galerkin Method for the Cahn–Hilliard Equation11
On the Error Rate of Importance Sampling with Randomized Quasi-Monte Carlo11
On a New Class of BDF and IMEX Schemes for Parabolic Type Equations11
An Energy-Stable Parametric Finite Element Method for the Planar Willmore Flow11
Lévy Score Function and Score-Based Particle Algorithm for Nonlinear Lévy–Fokker–Planck Equations11
A Local Discontinuous Galerkin Approximation for the \(\boldsymbol{p}\) -Navier–Stokes System, Part III: Convergence Rates for the Pressure11
Analysis and Application of Two Novel Finite Element Methods for Solving Ziolkowski’s PML Model in the Integro-Differential Form10
Regularity Analysis and High-Order Time Stepping Scheme for Quasilinear Subdiffusion10
Convolution Quadrature for the Quasilinear Subdiffusion Equation10
A Taylor–Hood Finite Element Method for the Surface Stokes Problem Without Penalization10
Numerical Analysis of the Parallel Orbital-Updating Approach for Eigenvalue Problems10
Randomized Least-Squares with Minimal Oversampling and Interpolation in General Spaces10
Wasserstein Convergence Rates for Stochastic Particle Approximation of Boltzmann Models10
Second Order in Time Finite Element Schemes for Curve Shortening Flow and Curve Diffusion10
Preservation of Quadratic Invariants by Semiexplicit Symplectic Integrators for Nonseparable Hamiltonian Systems10
Low-Order Finite Element Complex with Application to a Fourth-Order Elliptic Singular Perturbation Problem10
On the Convergence of the Pseudospectral Approximation of Reproduction Numbers for Age-Structured Models10
Spectral Analysis of a Mixed Method for Linear Elasticity10
An Exponential Spectral Method Using VP Means for Semilinear Subdiffusion Equations with Rough Data10
Virtual Element Methods Without Extrinsic Stabilization10
Higher-Order Convergence of Perfectly Matched Layers in Three-Dimensional Biperiodic Surface Scattering Problems9
Analysis of Preintegration Followed by Quasi–Monte Carlo Integration for Distribution Functions and Densities9
A Hybridizable Discontinuous Galerkin Method for the Miscible Displacement Problem under Minimal Regularity9
Improved High-Index Saddle Dynamics for Finding Saddle Points and Solution Landscape9
Accuracy of the Ensemble Kalman Filter in the Near-Linear Setting9
Summation-by-Parts Operators for General Function Spaces9
Second Order Exponential Splittings in the Presence of Unbounded and Time-Dependent Operators: Construction and Convergence9
Multilevel Monte Carlo Methods for the Dean–Kawasaki Equation from Fluctuating Hydrodynamics9
Improved Uniform Error Bounds on Time-Splitting Methods for Long-Time Dynamics of the Nonlinear Klein--Gordon Equation with Weak Nonlinearity9
Analysis of a Filtered Time-Stepping Finite Element Method for Natural Convection Problems9
Numerical Analysis for Convergence of a Sample-Wise Backpropagation Method for Training Stochastic Neural Networks9
An Adaptive Spectral Method for Oscillatory Second-Order Linear ODEs with Frequency-Independent Cost9
Isoparametric Unfitted BDF--Finite Element Method for PDEs on Evolving Domains9
A Variable Time Step Time Filter Algorithm for the Geothermal System9
ContHutch++: Stochastic Trace Estimation For Implicit Integral Operators9
Efficient Monte Carlo Method for Integral Fractional Laplacian in Multiple Dimensions9
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