南方科技大学知识苑(SUSTech KC): Improved Runge–Kutta

题名	Improved Runge-Kutta-Chebyshev methods
作者	Tang, Xiao1,2 ; Xiao, Aiguo 1
通讯作者	Xiao, Aiguo
发表日期	2020
DOI	10.1016/j.matcom.2020.02.021
发表期刊	MATHEMATICS AND COMPUTERS IN SIMULATION 影响因子和分区
ISSN	0378-4754
EISSN	1872-7166
卷号	174页码:59-75
摘要	This study proposes a class of improved Runge–Kutta–Chebyshev (RKC) methods for the stiff systems arising from the spatial discretization of partial differential equations. We can obtain the improved first-order and second-order RKC methods by introducing an appropriate combination technique. The main advantage of our improved RKC methods is that the width of the stability domain along the imaginary axis is significantly increased while the length along the negative real axis has almost no reduction. This implies that our improved RKC methods can extend the application scope of the classical RKC methods. The results of five numerical examples (including the advection–diffusion–reaction equations with dominating advection) show that our improved RKC methods can perform very well. © 2020 International Association for Mathematics and Computers in Simulation (IMACS)
关键词	Runge-Kutta-Chebyshev methods Explicit stabilized Runge-Kutta methods Stiff systems Partial differential equations
相关链接	[来源记录]
收录类别	EI ; SCI
语种	英语
学校署名	其他
资助项目	China Postdoctoral Science Foundation[2019M651003] ; [2018WK4006] ; National Natural Science Foundation of China[11671343]
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Interdisciplinary Applications ; Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000529311000005
出版者	Elsevier B.V.
EI入藏号	20201108284366
EI主题词	Advection ; Numerical methods ; Partial differential equations
EI分类号	Calculus:921.2 ; Numerical Methods:921.6
ESI学科分类	ENGINEERING
来源库	EV Compendex
引用统计	被引频次[WOS]：5
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/104375
专题	理学院_数学系
作者单位	1.Hunan Key Laboratory for Computation and Simulation in Science and Engineering & Key Laboratory for Intelligent Computing and Information Processing of Education Ministry, Xiangtan University, Xiangtan, Hunan; 411105, China 2.Department of Mathematics, Southern University of Science and Technology, Shenzhen, China
第一作者单位	数学系
推荐引用方式 GB/T 7714	Tang, Xiao,Xiao, Aiguo. Improved Runge-Kutta-Chebyshev methods[J]. MATHEMATICS AND COMPUTERS IN SIMULATION,2020,174:59-75.
APA	Tang, Xiao,&Xiao, Aiguo.(2020).Improved Runge–Kutta–Chebyshev methods.MATHEMATICS AND COMPUTERS IN SIMULATION,174,59-75.
MLA	Tang, Xiao,et al."Improved Runge–Kutta–Chebyshev methods".MATHEMATICS AND COMPUTERS IN SIMULATION 174(2020):59-75.