Method of Difference Potentials and Its Applications: 30 - Rilegato

Riabenkii, Viktor Solomonovich

 
9783540426332: Method of Difference Potentials and Its Applications: 30
Rilegato
ISBN 10: 3540426337 ISBN 13: 9783540426332
Casa editrice: Springer Nature, 2001

Sinossi

The first English edition of a well-known Russian monograph. This 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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti

I. Justification of Algorithms of the Method.- 1. Preliminaries.- 2. Differential and Difference Potentials.- 3. Reduction of Boundary-Value Problems for the Laplace Equation to Boundary Equations of Calderón-Seeley Type.- 4. Numerical Solution of Boundary-Value Problems.- II. General Constructions of Surface Potentials.- 1. Generalized Potentials and Boundary Equations with Projections for Differential Operators.- 2. General Constructions of Potentials and Boundary Equations for Difference Operators.- 3. Lazarev’s Results on the Algebraic Structure of the Set of Surface Potentials of a Linear Operator.- III. A General Scheme of the Method of Difference.- 1. A General Scheme of the Method of Difference Potentials for Differential Problems.- 2. Illustrations of Constructions of the Method of Difference Potentials.- 3. General Scheine of the Method of Difference Potentials for Solving Numerically the Difference Analogs of Differential Boundary-Value Problems.- IV. Examples of MDP Algorithms for Solving.- 1. The Tricomi Problem.- 2. Constructions of the Method of Difference Potentials for the Computation of Stressed States of Elastic Compressible Materials.- 3. Problems of Internal Flows of Viscous Incompressible Fluids.- 4. An Example of the MDP Algorithm for Computing the Stationary Acoustic Wave Field outside a Solid of Revolution.- V. Artificial Boundary Conditions.- 1. An Efficient Algorithm for Constructing Artificial Boundary Conditions for a Model Problem.- 2. On the Results of the Application of the Method of Difference Potentials to the Construction of Artificial Boundary Conditions for External Flow Computations.- VI. General Constructions of Difference.- 1. Nonreflecting Difference Conditions on the Moving and Shape Varying Boundary of the Computational Domain.- 2. Spectral Approach to the Construction of Nonreflecting Boundary Conditions.- VII. Nonreflecting Artificial Boundary Conditions.- 1. Problem of Constructing NRABCs and the Corresponding Auxiliary Cauchy Problem.- 2. Algorithm for Solving the Cauchy Problem with the Help of Lacunas.- VIII. Problems of Active Shielding and Imitation.- 1. Active Shielding Control.- 2. Difference Imitation Problems.- References.

Product Description

Book by Ryabenkii Viktor S

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer Nature
Data di pubblicazione
2001
Lingua
Inglese
ISBN 10 
3540426337
ISBN 13 
9783540426332
Rilegatura
Copertina rigida
Numero di pagine
538
Contatto del produttore
Springer-Verlag GmbH
customerservice@springernature.com

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Heidelberg
Baden-Württemberg
69121
Germania

Altre edizioni note dello stesso titolo

9783642627156: Method of Difference Potentials and Its Applications: 30

Edizione in evidenza

ISBN 10:  3642627153 ISBN 13:  9783642627156
Casa editrice: Springer, 2012
Brossura