Method of Difference Potentials and Its Applications

Name: Method of Difference Potentials and Its Applications
Brand: Springer
SKU: 9783540426332
Price: 7277.0 INR
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by Viktor S. Ryaben'kii

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ISBN13: 9783540426332
Binding: Hardcover
Subject: N/A
Publisher: Springer
Publisher Imprint: Springer
Publication Date: November 6, 2001
Pages: 538
Original Price: EUR 99.99
Language: English
Edition: 2002
Item Weight: 962 grams
BISAC Subject(s): Calculus, Number Systems, and Mathematical Analysis

About The Book

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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