Method of difference potentials and its applications /
The 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. The fundamentals of the method are described in P...
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| Format: | eBook |
| Language: | English |
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Berlin ; Heidelberg :
Springer,
[2002]
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| Series: | Springer series in computational mathematics.
30. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Preface
- Introduction
- I. Justification of Algorithms of the Method of Difference Potentials for Calculating Numerical Solutions of Interior Boundary-Value Problems for the Laplace Equation
- II. General Constructions of Surface Potentials and Boundary Equations on the Basis of the Concept of a Clear Trace
- III. A General Scheme of the Method of Difference Potentials for the Numerical Solution of Differential and Difference Boundary-Value Problems of Mathematical Physics
- IV. Examples of MDP Algorithms for Solving Numerically Boundary-Value Problems of Mathematical Physics
- V. Artificial Boundary Conditions for Stationary Problems
- VI. General Constructions of Difference Nonreflecting Artificial Boundary Conditions for Time-Dependent Problems
- VII. Nonreflecting Artificial Boundary Conditions for Replacing the Rejected Equations with Lacunas
- VIII. Problems of Active Shielding and Imitation
- Appendix
- References
- Index.