SIAM Journal on Numerical Analysis最新文献

Sensitivity of ODE Solutions and Quantities of Interest with Respect to Component Functions in the Dynamics 动力学中关于分量函数的ODE解的灵敏度和感兴趣的量

IF 2.9 2区数学

SIAM Journal on Numerical Analysis Pub Date : 2025-10-09 DOI: 10.1137/25m1729563

Jonathan R. Cangelosi, Matthias Heinkenschloss

引用次数: 0

Spherical Zone t-Designs for Numerical Integration and Approximation 数值积分与逼近的球面t区设计

IF 2.9 2区数学

SIAM Journal on Numerical Analysis Pub Date : 2025-09-26 DOI: 10.1137/24m1718883

Chao Li, Xiaojun Chen

引用次数: 0

Stability and Convergence of HDG Schemes under Minimal Regularity 最小正则性条件下HDG格式的稳定性和收敛性

IF 2.9 2区数学

SIAM Journal on Numerical Analysis Pub Date : 2025-09-25 DOI: 10.1137/23m1612846

Jiannan Jiang, Noel J. Walkington, Yukun Yue

引用次数: 0

Approximating Volumetric Shape Gradients for Shape Optimization with Curved Boundaries Constrained by Parabolic PDEs 抛物线偏微分方程约束下曲面边界形状优化的近似体积形状梯度

IF 2.9 2区数学

SIAM Journal on Numerical Analysis Pub Date : 2025-09-23 DOI: 10.1137/24m1681938

Leonardo Mutti, Michael Ulbrich

引用次数: 0

On the Coefficients in Finite Difference Series Expansions of Derivatives 导数有限差分级数展开式中的系数

IF 2.9 2区数学

SIAM Journal on Numerical Analysis Pub Date : 2025-09-18 DOI: 10.1137/25m1731782

J. W. Banks, W. D. Henshaw

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引用次数: 0

Computational Unique Continuation with Finite Dimensional Neumann Trace 有限维Neumann迹的计算唯一延拓

IF 2.9 2区数学

SIAM Journal on Numerical Analysis Pub Date : 2025-09-16 DOI: 10.1137/24m164080x

Erik Burman, Lauri Oksanen, Ziyao Zhao

引用次数: 0

Projection Method for Quasiperiodic Elliptic Equations and Application to Quasiperiodic Homogenization 拟周期椭圆方程的投影法及其在拟周期均匀化中的应用

IF 2.9 2区数学

SIAM Journal on Numerical Analysis Pub Date : 2025-09-10 DOI: 10.1137/24m1697797

Kai Jiang, Meng Li, Juan Zhang, Lei Zhang

{"title":"Projection Method for Quasiperiodic Elliptic Equations and Application to Quasiperiodic Homogenization","authors":"Kai Jiang, Meng Li, Juan Zhang, Lei Zhang","doi":"10.1137/24m1697797","DOIUrl":"https://doi.org/10.1137/24m1697797","url":null,"abstract":"SIAM Journal on Numerical Analysis, Volume 63, Issue 5, Page 1962-1985, October 2025. <br/> Abstract. In this study, we address the challenge of solving elliptic equations with quasiperiodic coefficients. To achieve accurate and efficient computation, we introduce the projection method, which enables the embedding of quasiperiodic systems into higher-dimensional periodic systems. To enhance the computational efficiency, we propose a compressed storage strategy for the stiffness matrix by its multilevel block circulant structure, significantly reducing memory requirements. Furthermore, we design a diagonal preconditioner to efficiently solve the resulting high-dimensional linear system by reducing the condition number of the stiffness matrix. These techniques collectively contribute to the computational effectiveness of our proposed approach. Convergence analysis shows the polynomial accuracy of the proposed method. We demonstrate the effectiveness and accuracy of our approach through a series of numerical examples. Moreover, we apply our method to achieve a highly accurate computation of the homogenized coefficients for a quasiperiodic multiscale elliptic equation.","PeriodicalId":49527,"journal":{"name":"SIAM Journal on Numerical Analysis","volume":"5 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145089599","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Space-Time FEM-BEM Couplings for Parabolic Transmission Problems 抛物传输问题的时空FEM-BEM耦合

IF 2.9 2区数学

SIAM Journal on Numerical Analysis Pub Date : 2025-09-05 DOI: 10.1137/24m1695646

Thomas Führer, Gregor Gantner, Michael Karkulik

引用次数: 0

Numerical Analysis of the Parallel Orbital-Updating Approach for Eigenvalue Problems 特征值问题并行轨道更新方法的数值分析

IF 2.9 2区数学

SIAM Journal on Numerical Analysis Pub Date : 2025-08-22 DOI: 10.1137/24m1690084

Xiaoying Dai, Yan Li, Bin Yang, Aihui Zhou

引用次数: 0

A Unified Framework on the Original Energy Laws of Three Effective Classes of Runge–Kutta Methods for Phase Field Crystal Type Models 相场晶体型模型中三种有效类龙格-库塔方法原始能量定律的统一框架

IF 2.9 2区数学

SIAM Journal on Numerical Analysis Pub Date : 2025-08-20 DOI: 10.1137/24m1701770

Xuping Wang, Xuan Zhao, Hong-lin Liao

{"title":"A Unified Framework on the Original Energy Laws of Three Effective Classes of Runge–Kutta Methods for Phase Field Crystal Type Models","authors":"Xuping Wang, Xuan Zhao, Hong-lin Liao","doi":"10.1137/24m1701770","DOIUrl":"https://doi.org/10.1137/24m1701770","url":null,"abstract":"SIAM Journal on Numerical Analysis, Volume 63, Issue 4, Page 1808-1832, August 2025. <br/> Abstract. The main theoretical obstacle to establishing the original energy dissipation laws of Runge–Kutta methods for phase field equations is verifying the maximum norm boundedness of the stage solutions without assuming global Lipschitz continuity of the nonlinear bulk. We present a unified theoretical framework for the energy stability of three effective classes of Runge–Kutta methods, including the additive implicit-explicit Runge–Kutta, explicit exponential Runge–Kutta, and corrected integrating factor Runge–Kutta methods, for the Swift–Hohenberg and phase field crystal models. By the standard discrete energy argument, it is proven that the three classes of Runge–Kutta methods preserve the original energy dissipation law if the associated differentiation matrices are positive definite. Our main tools include the differential form with the associated differentiation matrix, the discrete orthogonal convolution kernel, and the principle of mathematical induction. Many existing Runge–Kutta methods in the literature are revisited by evaluating the lower bound on the minimum eigenvalues of the associated differentiation matrices. Our theoretical approach paves a new way toward the internal nonlinear stability of Runge–Kutta methods for dissipative semilinear parabolic problems.","PeriodicalId":49527,"journal":{"name":"SIAM Journal on Numerical Analysis","volume":"15 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2025-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144900120","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0