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Space-Time Adaptive Algorithm for Linear Parabolic Problems

Name: Space-Time Adaptive Algorithm for Linear Parabolic Problems
Brand: VDM Verlag Dr. Mueller E.K.
SKU: 9783836492423
Price: 75.82 EUR
Availability: InStock

Autor: Philipp Wissgott

Jazyk:

Väzba: Brožovaná

Vydavateľ: VDM Verlag Dr. Mueller E.K.

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75.82 €

Numerical simulations of complex physical processes are of increasing importance in science as well...

Informácie o knihe

Autor

Philipp Wissgott

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2008

Stránok

276

EAN

9783836492423

ISBN

3836492423

Enbook ID

07148772

Vydavateľ

VDM Verlag Dr. Mueller E.K.

Hmotnosť

372

Rozmery

152 x 229 x 15

Kompletný popis

Numerical simulations of complex physical processes are of increasing importance in science as well as in technical applications. Usually, the mathematical treatment of such problems is founded on a-posteriori error estimation: For given data from a§physical and/or technical problems one aims to obtain a numeric solution and an estimate for the error, where in usual applications in practice the exact solution remains unknown.§In this book, we exemplary discuss linear parabolic differential equations with space- and time-dependent coefficients. After preparing the mathematical grounds for the later chapters, we derive an a-posteriori error estimate which is based on a work of Verfürth. Then, a space- and time-adaptive algorithm is deduced thereof, which is finally tested on several problems including the heat equation and a model concerning the spreading of pollution due to groundwater flow. §The analytic considerations and model problems are accompanied with several figures and numerous explained Matlab code listings.§Although focussed on numerical mathematics, readers interested in algorithms, mathematical simulation and Matlab-code implementation may find this book valuable.