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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.
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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
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Method of Difference Potentials and Its Applications (Springer Series in Computational Mathematics)
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 560 pp. Englisch. Codice articolo 9783642627156
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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, . Codice articolo 5065079
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Taschenbuch. Condizione: Neu. Method of Difference Potentials and Its Applications | Viktor S. Ryaben'kii | Taschenbuch | xviii | Englisch | 2012 | Springer Vieweg | EAN 9783642627156 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. Codice articolo 106094017
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 560 pp. Englisch. Codice articolo 9783642627156
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Codice articolo 9783642627156
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