Line Integral solution of Hamiltonian PDEs

Brugnano, Luigi, Frasca-Caccia, Gianluca, Iavernaro, Felice (2019) Line Integral solution of Hamiltonian PDEs. Mathematics, 7 (3). Article Number 275. ISSN 2227-7390. (doi:10.3390/math7030275) (KAR id:72969)

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Official URL: https://doi.org/10.3390/math7030275

Abstract

In this paper, we report about recent findings in the numerical solution of Hamiltonian Partial Differential Equations (PDEs), by using energy-conserving line integral methods in the Hamiltonian Boundary Value Methods (HBVMs) class. In particular, we consider the semilinear wave equation, the nonlinear Schrödinger equation, and the Korteweg–de Vries equation, to illustrate the main features of this novel approach.

Item Type:	Article
DOI/Identification number:	10.3390/math7030275
Subjects:	Q Science > QA Mathematics (inc Computing science) > QA297 Numerical analysis
Divisions:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User:	Gianluca Frasca-Caccia
Date Deposited:	13 Mar 2019 16:01 UTC
Last Modified:	28 Jul 2022 22:09 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/72969 (The current URI for this page, for reference purposes)
Frasca-Caccia, Gianluca:	https://orcid.org/0000-0002-4703-1424

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