Random time step probabilistic methods for uncertainty quantification in chaotic and geometric numerical integration-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

Random time step probabilistic methods for uncertainty quantification in chaotic and geometric numerical integration

Published:2020-02-14 Issue:4 Volume:30 Page:907-932
ISSN:0960-3174
Container-title:Statistics and Computing
language:en
Short-container-title:Stat Comput

Author:

Abdulle Assyr^ORCID,Garegnani Giacomo

Funder

Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Statistics, Probability and Uncertainty,Statistics and Probability,Theoretical Computer Science

Link

http://link.springer.com/content/pdf/10.1007/s11222-020-09926-w.pdf

Reference31 articles.

1. Abdulle, A.: Fourth order Chebyshev methods with recurrence relation. SIAM J. Sci. Comput. 23, 2041–2054 (2002)

2. Abdulle, A., Medovikov, A.A.: Second order Chebyshev methods based on orthogonal polynomials. Numer. Math. 90, 1–18 (2001)

3. Andrieu, C., Roberts, G.O.: The pseudo-marginal approach for efficient Monte Carlo computations. Ann. Stat. 37, 697–725 (2009)

4. Benettin, G., Giorgilli, A.: On the Hamiltonian interpolation of near to the identity symplectic mappings with application to symplectic integration algorithms. J. Stat. Phys. 74, 1117–1143 (1994)

5. Chkrebtii, O.A., Campbell, D.A., Calderhead, B., Girolami, M.A.: Bayesian solution uncertainty quantification for differential equations. Bayesian Anal. 11, 1239–1267 (2016)

Cited by 13 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. A Bayesian approach to modeling finite element discretization error;Statistics and Computing;2024-08-09

2. Choosing Observation Operators to Mitigate Model Error in Bayesian Inverse Problems;SIAM/ASA Journal on Uncertainty Quantification;2024-07-10

3. Uncertainty quantification of time-average quantities of chaotic systems using sensitivity-enhanced polynomial chaos expansion;Physical Review E;2024-04-12

4. Modelling the discretization error of initial value problems using the Wishart distribution;Applied Mathematics Letters;2024-01

5. Structure-Preserving Gaussian Process Dynamics;Machine Learning and Knowledge Discovery in Databases;2023

同舟云学术

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