Method of Difference Potentials and Its Applications

V. S. Ryaben'kii

538 pages, parution le 21/01/2002

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Résumé

The book presents the method of difference potentials first proposed by the author in 1969 and contains illustrative examples and new algorithms for solving applied problems of gas dynamics, diffraction, scattering theory, and active noise screening.

The fundamentals of the method are described in Parts I-III and its applications in Parts IV-VIII.To get acquainted with the basic ideas of the method, it suffices to study the Introduction. After this, each of the Parts VI-VIII can be read independently.

The book is intended for specialists in the field of computational mathematics and the theory of differential and integral equations, as well as for graduate students of related specialities.

Contents

Preface
Introduction
Justification of algorithms of the method of difference potentials for calculating numerical solutions of interior boundary-value problems for the Laplace equation
General constructions of surface potentials and boundary equations on the basis of the concept of a clear trace
A general scheme of the method of difference potentials for the numerical solution of differential and difference boundary-value problems of mathematical physics
Examples of MDP algorithms for solving numerically boundary-value problems of mathematical physics
Artificial boundary conditions for stationary problems
General constructions of difference nonreflecting artificial boundary conditions for time-dependent problems
Nonreflecting artificial boundary conditions for replacing the rejected equations with lacunas
Problems of active shielding and imitation
Appendix
References
Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	V. S. Ryaben'kii
Parution	21/01/2002
Nb. de pages	538
Format	16 x 24
Couverture	Relié
Poids	900g
Intérieur	Noir et Blanc
EAN13	9783540426332