Method of Difference Potentials and Its Applications

By:

Viktor S. Ryaben'kii

Format:

Hardback

Series:

Springer Series in Computational Mathematics

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Description

The method of difference potentials (MDP) was proposed in [1]-[8] and sig nificantly developed in [9]-[101] and some other works. The present book describes the current state of the art in the method of difference potentials and is a revised and essentially supplemented version of the author's first book devoted to this method, which was published by "Nauka" in 1987 [100]. This monograph deals with the MDP apparatus and several of its appli cations, particularly to the following problems: 1. the numerical solution ofinterior and exterior boundary-value problems for systems of partial differential equations; 2. the construction of conditions at the artificial boundary ofthe compu tational domain, which equivalently replace the equations and conditions at infinity in stationary problems of gas flowpast immersed bodies as well as in some other steady-state problems; 3. the spectral approach to the construction of artificial boundary con ditions replacing the equations of propagation of physical fields outside the computational domain containing perturbation sources; 4. the construction of artificial boundary conditions on the boundary of the computational domain for numerically solving the scattering problems in large time in a neighborhood of a fixed or a moving scatterer; 5. the statement and solution of stationary mathematical problems of the active shielding of a given subdomain from the influence of perturbation sources located outside the screened subdomain.

Release date NZ

November 6th, 2001

Author

Viktor S. Ryaben'kii

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational
Undergraduate

Contributor

Translated by N.K. Kulman

Illustrations

XVIII, 538 p.

Pages

538

Series

Springer Series in Computational Mathematics

Dimensions

156x234x31

ISBN-13

9783540426332

Product ID

2494866

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Method of Difference Potentials and Its Applications

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