Open Access
2014 Iterative Splitting Methods for Integrodifferential Equations: Theory and Applications
Jürgen Geiser
J. Appl. Math. 2014(SI12): 1-12 (2014). DOI: 10.1155/2014/812137


We present novel iterative splitting methods to solve integrodifferential equations. Such integrodifferential equations are applied, for example, in scattering problems of plasma simulations. We concentrate on a linearised integral part and a reformulation to a system of first order differential equations. Such modifications allow for applying standard iterative splitting schemes and for extending the schemes, respecting the integral operator. A numerical analysis is presented of the system of semidiscretised differential equations as abstract Cauchy problems. In the applications, we present benchmark and initial realistic applications to transport problems with scattering terms. We also discuss the benefits of such iterative schemes as fast solver methods.


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Jürgen Geiser. "Iterative Splitting Methods for Integrodifferential Equations: Theory and Applications." J. Appl. Math. 2014 (SI12) 1 - 12, 2014.


Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07131886
MathSciNet: MR3256326
Digital Object Identifier: 10.1155/2014/812137

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI12 • 2014
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