# Line Integral solution of Hamiltonian PDEs

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

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## 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 10.3390/math7030275 Q Science > QA Mathematics (inc Computing science) > QA297 Numerical analysis Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics Gianluca Frasca Caccia 13 Mar 2019 16:01 UTC 03 Jun 2019 09:32 UTC https://kar.kent.ac.uk/id/eprint/72969 (The current URI for this page, for reference purposes) https://orcid.org/0000-0002-4703-1424