A class of energy-conserving Hamiltonian boundary value methods for nonlinear Schrödinger equation with wave operator

Volume: 60, Pages: 33 - 49
Published: Jul 1, 2018
Abstract
In this paper, we study the efficient solution of the nonlinear Schrödinger equation with wave operator, subject to periodic boundary conditions. In such a case, it is known that its solution conserves a related functional. By using a Fourier expansion in space, the problem is at first casted into Hamiltonian form, with the same Hamiltonian functional. A Fourier–Galerkin space semi-discretization then provides a large-size Hamiltonian ODE...
Paper Details
Title
A class of energy-conserving Hamiltonian boundary value methods for nonlinear Schrödinger equation with wave operator
Published Date
Jul 1, 2018
Volume
60
Pages
33 - 49
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