Energy-conserving Hamiltonian Boundary Value Methods for the numerical solution of the Korteweg-de Vries equation

doi:10.1016/j.cam.2018.10.014

	Energy-conserving Hamiltonian Boundary Value Methods for the numerical solution of the Korteweg-de Vries equation
	Brugnano, Luigi 1; Gurioli, Gianmarco 1; Sun, Yajuan2,3
	2019-05-01
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	351 页码:117-135
摘要	In this paper we study the efficient solution of the well-known Korteweg-de Vries equation, equipped with periodic boundary conditions. A Fourier-Galerkin space semi-discretization at first provides a large-size Hamiltonian ODE problem, whose solution in time is then carried out by means of energy-conserving methods in the HBVM class (Hamiltonian Boundary Value Methods). The efficient implementation of the methods for the resulting problem is also considered and several numerical examples are reported. (C) 2018 Elsevier B.V. All rights reserved.
关键词	Korteweg-de Vries equation Hamiltonian partial differential equations Hamiltonian problems Energy-conserving methods Hamiltonian boundary value methods HBVMs
DOI	10.1016/j.cam.2018.10.014
语种	英语
资助项目	National Natural Science Foundation of China[11271357] ; University di Firenze, Italy (project "Risoluzione numerica di problemi Hamiltoniani ed applicazioni")
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000468555100010
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/34744
专题	计算数学与科学工程计算研究所
通讯作者	Sun, Yajuan
作者单位	1.Univ Firenze, Dipartimento Matemat & Informat U Dini, Viale Morgagni 67-A, I-50134 Florence, Italy 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 1000190, Peoples R China 3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Brugnano, Luigi,Gurioli, Gianmarco,Sun, Yajuan. Energy-conserving Hamiltonian Boundary Value Methods for the numerical solution of the Korteweg-de Vries equation[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2019,351:117-135.
APA	Brugnano, Luigi,Gurioli, Gianmarco,&Sun, Yajuan.(2019).Energy-conserving Hamiltonian Boundary Value Methods for the numerical solution of the Korteweg-de Vries equation.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,351,117-135.
MLA	Brugnano, Luigi,et al."Energy-conserving Hamiltonian Boundary Value Methods for the numerical solution of the Korteweg-de Vries equation".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 351(2019):117-135.