Dissertation/Thesis Abstract

Numerical studies on the Klein-Gordon-Schrodinger equations in the singular limit regime
by Mei, Hong, M.S., National University of Singapore (Singapore), 2015, 95; 10006015
Abstract (Summary)

 Klein-Gordon-Schrödinger (KGS) equations describes a system of a conserved scalar nucleon interacting with a neutral scalar meson coupled through the Yukawa interaction. It has a wide range of applications, including but not limited to the study of the dynamics of small but finite amplitude nonlinearly interacting perturbations in many-body physics, nonlinear optics and optical communications, nonlinear plasmas and complex geophysical flows, as well as the intense laser-plasma interactions.

The purpose of this thesis is to propose and analyze efficient and uniformly accurate numerical methods for solving the KGS equations in the singular limit regime, i.e., 0 < ϵ << 1. (Abstract shortened by UMI.) </p>

Indexing (document details)
School: National University of Singapore (Singapore)
Department: Mathematics
School Location: Republic of Singapore
Source: DAI-B 77/06(E), Dissertation Abstracts International
Subjects: Mathematics
Publication Number: 10006015
ISBN: 978-1-339-43881-8
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