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SIAM Journal on Numerical Analysis, Volume 64
Volume 64, Number 1, 2026
- Christian Rieger, Holger Wendland

:
Constructive Approximation of High-Dimensional Functions with Small Efficient Dimension with Applications in Uncertainty Quantification. 1-28 - Jeffrey Galkowski

, Euan A. Spence
:
Convergence Theory for Two-Level Hybrid Schwarz Preconditioners for High-Frequency Helmholtz Problems. 29-54 - Herbert Egger, Felix Engertsberger, Bogdan Radu:

On the Convergence of Higher-Order Finite Element Methods for Nonlinear Magnetostatics. 55-75 - Jingyi Fu

, Lei Li
, Min Tang:
Random Source Iteration Method: Mitigating the Ray Effect in the Discrete Ordinates Method. 76-102 - Klaus Deckelnick, Robert Nürnberg:

Second Order in Time Finite Element Schemes for Curve Shortening Flow and Curve Diffusion. 103-124 - Hao Hu, Haijun Yu

:
Scaling Optimized Hermite Approximation Methods. 125-147 - Congpei An, Hao-Ning Wu

:
Spherical Configurations and Quadrature Methods for Integral Equations of the Second Kind. 148-169 - Justin Steinman, Andreas Buttenschön

:
Support Graph Preconditioners for Off-Lattice Cell-Based Models. 170-192 - Ziqian Li

, Kang Liu
, Lorenzo Liverani
, Enrique Zuazua
:
Universal Approximation of Dynamical Systems by Semiautonomous Neural ODEs and Applications. 193-223 - Hailiang Liu, Laura Zinnel:

A Primal-Dual Level Set Method for Computing Geodesic Distances. 224-250 - Denise Aregba-Driollet

, Thomas Bellotti:
Monotonicity and Convergence of Two-Relaxation-Times Lattice Boltzmann Schemes for a Nonlinear Conservation Law. 251-276 - Markus Bachmayr, Riccardo Bardin

, Matthias Schlottbom:
Low-Rank Tensor Product Richardson Iteration for Radiative Transfer in Plane-Parallel Geometry. 277-302
Volume 64, Number 2, 2026
- Jiayu Han

, Jiguang Sun
, Qian Zhang:
Error Analysis of a Conforming Finite Element Method for the Modified Electromagnetic Transmission Eigenvalue Problem. 303-325 - Shuaishuai Lu

, Haijun Wu
:
Preasymptotic Error Estimates of Linear EEM and CIP-EEM for the Time-Harmonic Maxwell Equations with Large Wave Number. 326-349 - Benjamin Berkels

, Alexander Effland
, Martin Rumpf, Jan Verhülsdonk
:
A Posteriori Error Control for Nonconvex Problems via Calibration. 350-369 - Marlis Hochbruck

, Malik Scheifinger:
Local Time Integration for Friedrichs' Systems. 370-390 - Edoardo Calvello

, Pierre Monmarché, Andrew M. Stuart, Urbain Vaes:
Accuracy of the Ensemble Kalman Filter in the Near-Linear Setting. 391-429 - Ibrahim Yazici, Ivan Yotov:

Multipoint Stress Mixed Finite Element Methods for Elasticity on Cuboid Grids. 430-455 - Santiago Badia

, Jérôme Droniou, Jordi Manyer, Jai Tushar
:
Analysis of BDDC Preconditioners for Nonconforming Polytopal Hybrid Discretization Methods. 456-484 - Giacomo Borghi, Lorenzo Pareschi

:
Wasserstein Convergence Rates for Stochastic Particle Approximation of Boltzmann Models. 485-509 - Charles L. Epstein, Leslie Greengard

, Jeremy G. Hoskins, Shidong Jiang
, Manas Rachh
:
Complex Scaling for the Helmholtz Equation with Dirichlet Boundary Conditions in a Perturbed Half-Space. 510-536 - Shanshan Xiao, Pengzhan Jin

, Yifa Tang
:
A Deformation-Based Framework for Learning Solution Mappings of PDEs Defined on Varying Domains. 537-564 - Alan Demlow, Michael Neilan:

A Taylor-Hood Finite Element Method for the Surface Stokes Problem Without Penalization. 565-600
Volume 64, Number 3, 2026
- Erik Burman, Alexandre Ern, Romain Mottier:

Unfitted Hybrid High-Order Methods Stabilized by Polynomial Extension for Elliptic Interface Problems. 601-630 - Manting Xie

, Meiling Yue
:
A Novel Augmented Subspace Adaptive Finite Element Method for the Eigenvalue Problem with Discontinuous Coefficients. 631-655 - Yuanfei Huang

, Chengyu Liu
, Xiang Zhou
:
Lévy Score Function and Score-Based Particle Algorithm for Nonlinear Lévy-Fokker-Planck Equations. 656-684 - Walter Boscheri

, Michael Dumbser, Raphaël Loubère, Pierre-Henri Maire:
A Structure-Preserving and Thermodynamically Compatible Cell-Centered Lagrangian Finite Volume Scheme for Continuum Mechanics. 685-707 - Francis R. A. Aznaran

, Kaibo Hu
, Charles Parker
:
Uniformly HP -Stable Elements for the Elasticity Complex. 708-736 - Marco Caliari

, Fabio Cassini
, Lukas Einkemmer
, Alexander Ostermann
:
On the Convergence of Split Exponential Integrators for Semilinear Parabolic Problems. 737-754 - Lei Zhang

, Xiangcheng Zheng, Shangqin Zhu:
Numerical Analysis for Saddle Dynamics of Some Semilinear Elliptic Problems. 755-778 - Moreno Pintore, Bruno Després:

A Posteriori Lipschitz Bounds for Deep Neural Networks. 779-803 - Nina Beranek, Robin Smeets, Rob P. Stevenson

:
Quasi-Optimal Time-Space Discretizations for a Class of Nonlinear Parabolic PDEs. 804-827 - Xuewei Cui, Xuehai Huang:

Low-Order Finite Element Complex with Application to a Fourth-Order Elliptic Singular Perturbation Problem. 828-852 - Thomas Hangelbroek

, Christian Rieger, Grady B. Wright
:
A Semi-Lagrangian Scheme on Embedded Manifolds Using Generalized Local Polynomial Reproductions. 853-875 - Di Fang, Conrad Qu:

Uniform Semiclassical Observable Error Bound of Trotter-Suzuki Splitting: A Simple Algebraic Proof. 876-899 - Keegan L. A. Kirk, Beatrice Riviere

:
A Hybridizable Discontinuous Galerkin Method for the Miscible Displacement Problem under Minimal Regularity. 900-925 - Felix Kwok

, Julien Salomon, Djahou N. Tognon
:
Convergence of ParaOpt for General Runge-Kutta Time Discretizations. 926-956 - Eskil Hansen

, Tony Stillfjord, Teodor Åberg:
Convergence Analysis of Lie and Strang Splitting for Operator-Valued Differential Riccati Equations. 957-988 - Xianglong Duan, Chaoyu Quan

, Jiang Yang, Zijing Zhu:
Stability and Convergence of Multi-Product Expansion Splitting Methods with Negative Weights for Semilinear Parabolic Equations. 989-1017 - Shutong Hou, Mourad Sini

, Haibing Wang
:
Efficient Numerical Reconstruction of Wave Equation Sources via Droplet-Induced Asymptotics. 1018-1042 - Fabio Camilli, Adriano Festa

, Luciano Marzufero:
Approximation of Viscous Transport and Conservative Equations with One Sided Lipschitz Velocity Fields. 1043-1071
Volume 64, Number 4, 2026
- Simone De Reggi

, Francesca Scarabel
, Rossana Vermiglio
:
On the Convergence of the Pseudospectral Approximation of Reproduction Numbers for Age-Structured Models. 1073-1094 - Maud Lemercier

, Terry J. Lyons, Cristopher Salvi:
Log-PDE Methods for Rough Signature Kernels. 1095-1125 - Jianbo Cui

, Tonghe Dang, Chenchen Mou
:
Finite Difference Schemes for Hamilton-Jacobi Equation on the Wasserstein Space on Graphs. 1126-1161 - Gennaro Ciampa

, Tommaso Cortopassi
, Gianluca Crippa
, Raffaele D'Ambrosio
, Stefano Spirito
:
A Priori Error Estimates for the \({\theta}\)-Method for the Flow of Nonsmooth Velocity Fields. 1162-1189 - Amin Faghih, Michele Rinelli, Marc Van Barel

, Raf Vandebril, Robbe Vermeiren
:
Krylov and Core Transformation Algorithms for an Inverse Eigenvalue Problem to Compute Recurrences of Multiple Orthogonal Polynomials. 1190-1216 - Yao Xiao

, Anne Gelb
, Aditya Viswanathan:
A New Sparsity Promoting Residual Transform Operator for Lasso Regression. 1217-1238

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