Multiple Iterative Splitting method for Higher order and Integro-differental equations

Multiple Iterative Splitting method for Higher order and Integro-differental equations

In this paper we present an extension of standard iterative splitting schemes to multiple splitting schemes for solving higher order differential equations. We are motivated by dynamical systems, which occur in dynamics of the electrons in the plasma using a simplified Boltzmann equation. Oscillatio...

Full description

Saved in:
Bibliographic Details
Main Authors: Geiser, Juergen, Zacher, Thomas
Format: Journal Article
Language:English
Published: 16-04-2012
Subjects:
Mathematics - Dynamical Systems
Mathematics - Mathematical Physics
Mathematics - Numerical Analysis
Physics - Mathematical Physics
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper we present an extension of standard iterative splitting schemes to multiple splitting schemes for solving higher order differential equations. We are motivated by dynamical systems, which occur in dynamics of the electrons in the plasma using a simplified Boltzmann equation. Oscillation problems in spectroscopy problems using wave-equations. The motivation arose to simulate active plasma resonance spectroscopy which is used for plasma diagnostic techniques.
DOI:10.48550/arxiv.1204.3380