Screen LibraryAdaptive numerical solution of pdes /
Numerical mathematics is a subtopic of scientific computing. The focus lies on the efficiency of algorithms, i.e. speed, reliability, and robustness. This leads to adaptive algorithms. The theoretical derivation und analyses of algorithms are kept as elementary as possible in this book; the needed s...
Saved in:
| Main Authors: | |
|---|---|
| Corporate Authors: | |
| Group Author: | |
| Published: |
De Gruyter,
|
| Publisher Address: | Berlin ;Boston : |
| Publication Dates: | [2012] |
| Literature type: | eBook |
| Language: | English |
| Series: |
De gruyter textbook
|
| Subjects: | |
| Online Access: |
http://dx.doi.org/10.1515/9783110283112 http://www.degruyter.com/doc/cover/9783110283112.jpg |
| Summary: |
Numerical mathematics is a subtopic of scientific computing. The focus lies on the efficiency of algorithms, i.e. speed, reliability, and robustness. This leads to adaptive algorithms. The theoretical derivation und analyses of algorithms are kept as elementary as possible in this book; the needed sligtly advanced mathematical theory is summarized in the appendix. Numerous figures and illustrating examples explain the complex data, as non-trivial examples serve problems from nanotechnology, chirurgy, and physiology. The book addresses students as well as practitioners in mathematics, natural sciences, and engineering. It is designed as a textbook but also suitable for self study. |
| Carrier Form: | 1 online resource (432pages). |
| ISBN: | 9783110283112 |
| Index Number: | QA377 |
| CLC: | O175.25 |
| Contents: |
Frontmatter -- Preface -- Contents -- Outline -- Chapter 1. Elementary Partial Differential Equations -- Chapter 2. Partial Differential Equations in Science and Technology -- Chapter 3. Finite Difference Methods for Poisson Problems -- Chapter 4. Galerkin Methods -- Chapter 5. Numerical Solution of Linear Elliptic Grid Equations -- Chapter 6. Construction of Adaptive Hierarchical Meshes -- Chapter 7. Adaptive Multigrid Methods for Linear Elliptic Problems -- Chapter 8. Adaptive Solution of Nonlinear Elliptic Problems -- Chapter 9. Adaptive Integration of Parabolic Problems -- A Appendix -- B Software -- Bibliography -- Index |