南方科技大学知识苑(SUSTech KC): New High-Order Numerical Methods for Hyperbolic Systems of Nonlinear PDEs with Uncertainties

题名	New High-Order Numerical Methods for Hyperbolic Systems of Nonlinear PDEs with Uncertainties
作者	Chertock, Alina 1; Herty, Michael 2; Iskhakov, Arsen S.1; Janajra, Safa 1; Kurganov, Alexander3,4 ; Lukacova-Medvid'ova, Maria 5
通讯作者	Kurganov, Alexander
发表日期	2024-06-01
DOI	10.1007/s42967-024-00392-z
发表期刊	COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION 影响因子和分区
ISSN	2096-6385
EISSN	2661-8893
卷号	6页码:2011-2044
摘要	In this paper, we develop new high-order numerical methods for hyperbolic systems of nonlinear partial differential equations (PDEs) with uncertainties. The new approach is realized in the semi-discrete finite-volume framework and is based on fifth-order weighted essentially non-oscillatory (WENO) interpolations in (multidimensional) random space combined with second-order piecewise linear reconstruction in physical space. Compared with spectral approximations in the random space, the presented methods are essentially non-oscillatory as they do not suffer from the Gibbs phenomenon while still achieving high-order accuracy. The new methods are tested on a number of numerical examples for both the Euler equations of gas dynamics and the Saint-Venant system of shallow-water equations. In the latter case, the methods are also proven to be well-balanced and positivity-preserving.
关键词	Hyperbolic conservation and balance laws with uncertainties Finite-volume methods Central-upwind schemes Weighted essentially non-oscillatory (WENO) interpolations
相关链接	[来源记录]
收录类别	ESCI ; EI
语种	英语
学校署名	通讯
资助项目	Division of Mathematical Sciences[DMS-2208438] ; NSF["20021702/GRK2326","333849990/IRTG-2379","HE5386/ 18-1","19-2","22-1","EXC-2023"] ; DFG (German Research Foundation)[390621612] ; Internet of Production[12171226] ; NSFC[2019B030301001] ; Guangdong Provincial Key Laboratory of Computational Science and Material Design, China["525853336","SPP 2410"] ; DFG[525853336]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:001238562500001
出版者	SPRINGERNATURE
EI入藏号	20242316219804
EI主题词	Equations of motion ; Gas dynamics ; Interpolation ; Nonlinear equations ; Numerical methods ; Partial differential equations ; Piecewise linear techniques
EI分类号	Gas Dynamics:631.1.2 ; Calculus:921.2 ; Combinatorial Mathematics, Includes Graph Theory, Set Theory:921.4 ; Numerical Methods:921.6
来源库	Web of Science
引用统计
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/788143
专题	理学院_数学系南方科技大学
作者单位	1.North Carolina State Univ, Dept Math, Raleigh, NC 27695 USA 2.Rhein Westfal TH Aachen, Dept Math, Aachen, Germany 3.Southern Univ Sci & Technol, Shenzhen Int Ctr Math, Dept Math, Shenzhen 518055, Guangdong, Peoples R China 4.Southern Univ Sci & Technol, Guangdong Prov Key Lab Computat Sci & Mat Design, Shenzhen 518055, Guangdong, Peoples R China 5.Johannes Gutenberg Univ Mainz, Inst Math, Mainz, Germany
通讯作者单位	数学系; 南方科技大学
推荐引用方式 GB/T 7714	Chertock, Alina,Herty, Michael,Iskhakov, Arsen S.,et al. New High-Order Numerical Methods for Hyperbolic Systems of Nonlinear PDEs with Uncertainties[J]. COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION,2024,6:2011-2044.
APA	Chertock, Alina,Herty, Michael,Iskhakov, Arsen S.,Janajra, Safa,Kurganov, Alexander,&Lukacova-Medvid'ova, Maria.(2024).New High-Order Numerical Methods for Hyperbolic Systems of Nonlinear PDEs with Uncertainties.COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION,6,2011-2044.
MLA	Chertock, Alina,et al."New High-Order Numerical Methods for Hyperbolic Systems of Nonlinear PDEs with Uncertainties".COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION 6(2024):2011-2044.