Refined Iterative Methods for Computation of the Solution and the Eigenvalues of Self-Adjoint Boundary Value Problems
Format: Paperback
ISBN13: 9783034872263
Paperback|9783034872263
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I: The Self-Adjoint Boundary Value Problem.- 1. Problems of Dirichlet's and Poisson's type.- 2. Better approximations.- 3. Energy on the boundary.- 4. Eigenvalue problems.- 5. Biharmonic problems.- 6. Adaption for practical purposes; the test example.- 7. Modes of oscillation of the plate.- II: Theory of Gradient Methods.- 1. Introduction.- 2. The residual polynomial.- 3. Methods with two-term recursive formulae.- 4. Methods with three-term recursive formulae.- 5. Combined methods.- 6. The cgT-method.- 7. Determination of eigenvalues.- III: Experiments on Gradient Methods.- 1. Introduction.- 2. Survey of the plate experiments.- 3. Solution of the system A x + b = 0 (Plate problem with coarse grid).- 4. Determination of the eigenvalues of A.- 5. Solution of the system A x + b =0 and determination of the eigenvalues of A; fine grid.- 6. Second test example: the bar problem.- 7. Appendix: The first three eigenvectors of A.- IV: Overrelaxation.- 1. Theory.- 2. Numerical results (Plate problem).- 3. The bar problem.- V: Conclusions.- 1. The plate problem.- 2. The bar problem.- 3. Computation of eigenvalues.- 4. Recollection of the facts.- References.
| ISBN-13 | 9783034872263 |
|---|---|
| ISBN-10 | 3034872267 |
| Weight | 0.34 Pounds |
| Dimensions | 5.98 x 0.25 x 9.02 In |
| List Price | $54.99 |
| Edition | 1st Edition |
| Format | Paperback |
|---|---|
| Language | English |
| Pages | 107 pages |
| Publisher | Birkhäuser |
| Published On | 2012-12-27 |
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