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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)

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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: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Depositing User: Gianluca Frasca Caccia
Date Deposited: 26 Oct 2016 11:53 UTC
Last Modified: 29 May 2019 18:04 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/58160 (The current URI for this page, for reference purposes)
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