Adaptive Numerical Solution of PDEs
β Scribed by Peter Deuflhard, Martin Weiser
- Publisher
- de Gruyter
- Year
- 2012
- Tongue
- English
- Leaves
- 434
- Series
- de Gruyter Textbook
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
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
β¦ Subjects
ΠΠ°ΡΠ΅ΠΌΠ°ΡΠΈΠΊΠ°;ΠΡΡΠΈΡΠ»ΠΈΡΠ΅Π»ΡΠ½Π°Ρ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΠΊΠ°;
π SIMILAR VOLUMES
<p>This book deals with the general topic βNumerical solution of partial differential equations (PDEs)β with a focus on adaptivity of discretizations in space and time. By and large, introductory textbooks like βNumerical Analysis in Modern Scientific Computingβ by Deuflhard and Hohmann should suffi
<span>This work describes a general approach to a posteriori error estimation and adaptive mesh design for ?nite element models where the solution is subjected to inequality constraints. This is an extension to variational inequalities of the so-called Dual-Weighted-Residual method (DWR method) whic