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CONVERGENCE ANALYSIS FOR SPECTRAL APPROXIMATION TO A SCALAR TRANSPORT EQUATION WITH A RANDOM WAVE SPEED
Zhou Tao1; Tang Tao2
2012
Source PublicationJournal of Computational Mathematics
ISSN0254-9409
Volume30Issue:6Pages:643
AbstractThis paper is concerned with the initial-boundary value problems of scalar transport equations with uncertain transport velocities. It was demonstrated in our earlier works that regularity of the exact solutions in the random spaces (or the parametric spaces) can be determined by the given data. In turn, these regularity results are crucial to convergence analysis for high order numerical methods. In this work, we will prove the spectral convergence of the stochastic Galerkin and collocation methods under some regularity results or assumptions. As our primary goal is to investigate the errors introduced by discretizations in the random space, the errors for solving the corresponding deterministic problems will be neglected.
Language英语
Funding Project[National Natural Science Foundation of China] ; [Hong Kong Research Grant Council GRF grants] ; [Hong Kong Baptist University FRG grants]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/43899
Collection计算数学与科学工程计算研究所
Affiliation1.中国科学院数学与系统科学研究院
2.香港浸会大学
Recommended Citation
GB/T 7714
Zhou Tao,Tang Tao. CONVERGENCE ANALYSIS FOR SPECTRAL APPROXIMATION TO A SCALAR TRANSPORT EQUATION WITH A RANDOM WAVE SPEED[J]. Journal of Computational Mathematics,2012,30(6):643.
APA Zhou Tao,&Tang Tao.(2012).CONVERGENCE ANALYSIS FOR SPECTRAL APPROXIMATION TO A SCALAR TRANSPORT EQUATION WITH A RANDOM WAVE SPEED.Journal of Computational Mathematics,30(6),643.
MLA Zhou Tao,et al."CONVERGENCE ANALYSIS FOR SPECTRAL APPROXIMATION TO A SCALAR TRANSPORT EQUATION WITH A RANDOM WAVE SPEED".Journal of Computational Mathematics 30.6(2012):643.
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