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SIAM Journal on Numerical Analysis, Volume 63
Volume 63, Number 1, 2025
- Jeffrey Galkowski
, Euan A. Spence
:
Sharp Preasymptotic Error Bounds for the Helmholtz \(\boldsymbol{h}\)-FEM. 1-22 - Tianyang Chu, Hailong Guo
, Zhimin Zhang:
Recovery Based Linear Finite Element Methods for Hamilton-Jacobi-Bellman Equation with Cordes Coefficients. 23-53 - Abderrahmane Bendali:
Primal Hybrid Finite Element Method for the Helmholtz Equation. 54-80 - Mohamed Laaziri, Roland Masson:
VEM-Nitsche Fully Discrete Polytopal Scheme for Frictionless Contact-Mechanics. 81-102 - Weizhu Bao
, Yifei Li
:
An Energy-Stable Parametric Finite Element Method for the Planar Willmore Flow. 103-121 - Caroline Wormell
:
Orthogonal Polynomial Approximation and Extended Dynamic Mode Decomposition in Chaos. 122-148 - Ulrik S. Fjordholm
, Kenneth H. Karlsen, Peter H. C. Pang
:
Convergent Finite Difference Schemes for Stochastic Transport Equations. 149-192 - Danlin Li, Johannes Milz
:
Criticality Measure-Based Error Estimates for Infinite Dimensional Optimization. 193-213 - Jiachuan Cao, Buyang Li
, Yanping Lin, Fangyan Yao:
Numerical Approximation of Discontinuous Solutions of the Semilinear Wave Equation. 214-238 - Alexander V. Mamonov
, Maxim A. Olshanskii
:
A Priori Analysis of a Tensor ROM for Parameter Dependent Parabolic Problems. 239-261 - Federico Cornalba
, Julian Fischer
:
Multilevel Monte Carlo Methods for the Dean-Kawasaki Equation from Fluctuating Hydrodynamics. 262-287 - Karolina Kropielnicka
, Juan Carlos del Valle
:
Second Order Exponential Splittings in the Presence of Unbounded and Time-Dependent Operators: Construction and Convergence. 288-305 - Wietse M. Boon
, Omar Durán
, Jan M. Nordbotten:
Mixed Finite Element Methods for Linear Cosserat Equations. 306-333 - Jennifer Zvonek
, Andrew J. Horning
, Alex Townsend:
ContHutch++: Stochastic Trace Estimation For Implicit Integral Operators. 334-359 - Hao Wu, Shu Liu, Xiaojing Ye, Haomin Zhou:
Parameterized Wasserstein Hamiltonian Flow. 360-395 - Xiaochen Yang, Yaozhong Hu:
Long Time Stability and Numerical Stability of Implicit Schemes for Stochastic Heat Equations. 396-421 - Carlos Arranz-Simón, Cesar Palencia:
Rational Methods for Abstract, Linear, Nonhomogeneous Problems without Order Reduction. 422-436 - Annika Schiemann, Paul Manns:
Discretization of Total Variation in Optimization with Integrality Constraints. 437-460 - Martin J. Gander, Ronald D. Haynes
, Felix Kwok
:
Corrigendum: Domain Decomposition Approaches for Mesh Generation via the Equidistribution Principle. 461-467
Volume 63, Number 2, 2025
- Zewen Shen
, Kirill Serkh
:
On Polynomial Interpolation in the Monomial Basis. 469-494 - Daniel Sanz-Alonso, Ruiyi Yang
:
Gaussian Process Regression under Computational and Epistemic Misspecification. 495-519 - Julian Braun, Christoph Ortner
, Yangshuai Wang
, Lei Zhang
:
Higher-Order Far-Field Boundary Conditions for Crystalline Defects. 520-541 - Gabriel J. Lord
, Andreas Petersson
:
Piecewise Linear Interpolation of Noise in Finite Element Approximations of Parabolic SPDEs. 542-563 - Kai Jiang
, Xueyang Li, Yao Ma, Juan Zhang
, Pingwen Zhang, Qi Zhou
:
Irrational-Window-Filter Projection Method and Application to Quasiperiodic Schrödinger Eigenproblems. 564-587 - Rodolfo Araya
, Christopher Harder, Abner H. Poza
, Frédéric Valentin:
Multiscale Hybrid-Mixed Methods for the Stokes and Brinkman Equations - A Priori Analysis. 588-618 - Beiping Duan:
Mesh-Preserving and Energy-Stable Parametric FEM for Geometric Flows of Surfaces. 619-640 - Alejandro Castaño, Mathieu Bajodek, Sabine Mondié:
Legendre Approximation-Based Stability Test for Distributed Delay Systems. 641-660 - Alexandre Ern, Jean-Luc Guermond:
Spectral Correctness of the Simplicial Discontinuous Galerkin Approximation of the First-Order Form of Maxwell's Equations with Discontinuous Coefficients. 661-684 - Shuigen Liu, Sebastian Reich, Xin T. Tong:
Dropout Ensemble Kalman Inversion for High Dimensional Inverse Problems. 685-715 - Qiya Hu, Ziyi Li:
A Hybrid Two-Level Weighted Schwarz Method for Helmholtz Equations. 716-743 - Wangtao Lu, Weiying Zheng, Xiaopeng Zhu:
Perfectly Matched Layer Method for the Wave Scattering Problem by a Step-Like Surface. 744-771 - Qing Cheng, Jie Shen, Cheng Wang:
Unique Solvability and Error Analysis of a Scheme Using the Lagrange Multiplier Approach for Gradient Flows. 772-799 - Bosco García-Archilla, Volker John, Julia Novo:
POD-ROM Methods: From a Finite Set of Snapshots to Continuous-in-Time Approximations. 800-826 - Carsten Carstensen, Ngoc Tien Tran:
Locking-Free Hybrid High-Order Method for Linear Elasticity. 827-853 - Dianming Hou, Xiaoli Li, Zhonghua Qiao, Nan Zheng:
Energy Stable and Maximum Bound Principle Preserving Schemes for the \(\boldsymbol {Q}\)-Tensor Flow of Liquid Crystals. 854-880 - Evan Habbershaw, Cory D. Hauck, Steven M. Wise:
Implicit Update of the Moment Equations for a Multi-Species, Homogeneous BGK Model. 881-907 - Nicola Guglielmi, Christian Lubich:
Transient Dynamics Under Structured Perturbations: Bridging Unstructured and Structured Pseudospectra. 908-930 - Yuwen Li:
A New Analysis of Empirical Interpolation Methods and Chebyshev Greedy Algorithms. 931-948 - Petar Mlinaric, Peter Benner, Serkan Gugercin:
Interpolatory \(\boldsymbol {{\mathcal {H}}_{2}}\)-optimality Conditions for Structured Linear Time-invariant Systems. 949-975 - Yuwen Li, Ludmil T. Zikatanov, Cheng Zuo:
Reduced Krylov Basis Methods for Parametric Partial Differential Equations. 976-999 - Chuchu Chen, Tonghe Dang, Jialin Hong, Fengshan Zhang:
A New Class of Splitting Methods That Preserve Ergodicity and Exponential Integrability for the Stochastic Langevin Equation. 1000-1024

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