Method of Difference Potentials and Its Applications (Springer Series in Computational Mathematics, 30) - Hardcover

Ryaben'kii, Viktor S.

Hardcover

ISBN 10: 3540426337 ISBN 13: 9783540426332

Publisher: Springer, 2001

Synopsis

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.

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Language Notes

Text: English (translation)
Original Language: Russian

Edition details

• Publisher: Springer
• Publication date: 2001
• Language: English
• ISBN 10: 3540426337
• ISBN 13: 9783540426332
• Binding: Hardcover
• Number of pages: 556