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Energy-conserving Hamiltonian Boundary Value Methods for the numerical solution of the Korteweg-de Vries equation
Brugnano, Luigi1; Gurioli, Gianmarco1; Sun, Yajuan2,3
2019-05-01
Source PublicationJOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN0377-0427
Volume351Pages:117-135
AbstractIn 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.
KeywordKorteweg-de Vries equation Hamiltonian partial differential equations Hamiltonian problems Energy-conserving methods Hamiltonian boundary value methods HBVMs
DOI10.1016/j.cam.2018.10.014
Language英语
Funding ProjectNational Natural Science Foundation of China[11271357] ; University di Firenze, Italy (project "Risoluzione numerica di problemi Hamiltoniani ed applicazioni")
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000468555100010
PublisherELSEVIER SCIENCE BV
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/34744
Collection计算数学与科学工程计算研究所
Corresponding AuthorSun, Yajuan
Affiliation1.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
Recommended Citation
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.
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