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Solving the nonlinear Schrödinger equation using energy conserving Hamiltonian Boundary Value Methods

Barletti, Luigi, Brugnano, Luigi, Frasca-Caccia, Gianluca, Iavernaro, Luigi (2017) Solving the nonlinear Schrödinger equation using energy conserving Hamiltonian Boundary Value Methods. In: AIP Conference Proceedings. . American Institute of Physics (doi:10.1063/1.4992336) (KAR id:58160)

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Official URL:
http://dx.doi.org/10.1063/1.4992336

Abstract

In this paper we study the use of energy-conserving methods, in the class of Hamiltonian Boundary Value Methods, for the numerical solution of the nonlinear Schrödinger equation.

Item Type: Conference or workshop item (Proceeding)
DOI/Identification number: 10.1063/1.4992336
Uncontrolled keywords: Hamiltonian Partial Differential Equations, Energy-conserving Runge-Kutta methods, Hamiltonian Boundary Value Methods, HBVMs, nonlinear Schrödinger equation
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: 26 Oct 2016 11:53 UTC
Last Modified: 09 Dec 2022 01:13 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/58160 (The current URI for this page, for reference purposes)
Frasca-Caccia, Gianluca: https://orcid.org/0000-0002-4703-1424
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