𝔖 Scriptorium
✦   LIBER   ✦

πŸ“

Adaptive Numerical Solution of PDEs

✍ Scribed by Peter Deuflhard, Martin Weiser


Publisher
de Gruyter
Year
2012
Tongue
English
Leaves
434
Series
de Gruyter Textbook
Category
Library

⬇  Acquire This Volume

No coin nor oath required. For personal study only.

✦ 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

✦ Subjects


ΠœΠ°Ρ‚Π΅ΠΌΠ°Ρ‚ΠΈΠΊΠ°;Π’Ρ‹Ρ‡ΠΈΡΠ»ΠΈΡ‚Π΅Π»ΡŒΠ½Π°Ρ ΠΌΠ°Ρ‚Π΅ΠΌΠ°Ρ‚ΠΈΠΊΠ°;


πŸ“œ SIMILAR VOLUMES


Adaptive Numerical Solution of PDEs
✍ Peter Deuflhard; Martin Weiser πŸ“‚ Library πŸ“… 2012 πŸ› De Gruyter 🌐 English

<p>This book deals with the general topic β€œNumerical solution of partial differential equations (PDEs)” with a focus on adaptivity of discretizations in space and time. By and large, introductory textbooks like β€œNumerical Analysis in Modern Scientific Computing” by Deuflhard and Hohmann should suffi

Numerical solution of Variational Inequa
✍ Franz-Theo Suttmeier πŸ“‚ Library πŸ“… 2008 πŸ› Vieweg+Teubner Verlag 🌐 English

<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