CONVERGENCE ANALYSIS FOR SPECTRAL APPROXIMATION TO A SCALAR TRANSPORT EQUATION WITH A RANDOM WAVE SPEED

	CONVERGENCE ANALYSIS FOR SPECTRAL APPROXIMATION TO A SCALAR TRANSPORT EQUATION WITH A RANDOM WAVE SPEED
	Zhou Tao1 ; Tang Tao 2
	2012
发表期刊	Journal of Computational Mathematics
ISSN	0254-9409
卷号	30 期号:6 页码:643
摘要	This 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.
语种	英语
资助项目	[National Natural Science Foundation of China] ; [Hong Kong Research Grant Council GRF grants] ; [Hong Kong Baptist University FRG grants]
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/43899
专题	计算数学与科学工程计算研究所
作者单位	1.中国科学院数学与系统科学研究院 2.香港浸会大学
推荐引用方式 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.