Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients
Author:
Publisher
Elsevier BV
Subject
Computational Mathematics,Computational Theory and Mathematics,Modelling and Simulation
Reference27 articles.
1. Galerkin finite element approximations of stochastic elliptic partial differential equations;Babuška;SIAM J. Numer. Anal.,2004
2. A stochastic collocation method for elliptic partial differential equations with random input data;Babuška;SIAM Rev.,2010
3. On the optimal polynomial approximation of stochastic PDEs by Galerkin and collocation methods;Beck;Math. Models Methods Appl. Sci. (M3AS),2012
4. Sparse tensor discretization of elliptic sPDEs;Bieri;SIAM J. Sci. Comput.,2010
5. Analytic regularity and polynomial approximation of parametric and stochastic elliptic PDE’s;Cohen;Anal. Appl. (Singap.),2011
Cited by 50 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Learning smooth functions in high dimensions;Handbook of Numerical Analysis;2024
2. Reduced order modeling for elliptic problems with high contrast diffusion coefficients;ESAIM: Mathematical Modelling and Numerical Analysis;2023-09
3. Stochastic preconditioning of domain decomposition methods for elliptic equations with random coefficients;Computer Methods in Applied Mechanics and Engineering;2021-08
4. The Gap between Theory and Practice in Function Approximation with Deep Neural Networks;SIAM Journal on Mathematics of Data Science;2021-01
5. Sparse Polynomial Chaos expansions using variational relevance vector machines;Journal of Computational Physics;2020-09
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3