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  • Produktbild: Method of Difference Potentials and Its Applications
  • Produktbild: Method of Difference Potentials and Its Applications
Band 30

Method of Difference Potentials and Its Applications

Aus der Reihe Springer Series in Computational Mathematics

Fr. 138.00

inkl. gesetzl. MwSt., Versandkostenfrei

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

09.10.2012

Verlag

Springer Berlin

Seitenzahl

538

Maße (L/B/H)

23.5/15.5/3 cm

Gewicht

848 g

Auflage

Softcover reprint of the original 1st ed. 2002

Übersetzt von

N.K. Kulman

Sprache

Englisch

ISBN

978-3-642-62715-6

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

09.10.2012

Verlag

Springer Berlin

Seitenzahl

538

Maße (L/B/H)

23.5/15.5/3 cm

Gewicht

848 g

Auflage

Softcover reprint of the original 1st ed. 2002

Übersetzt von

N.K. Kulman

Sprache

Englisch

ISBN

978-3-642-62715-6

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: GPSR Kontakt

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  • Produktbild: Method of Difference Potentials and Its Applications
  • Produktbild: Method of Difference Potentials and Its Applications
  • 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.