Band 16
Numerical Models for Differential Problems
Aus der Reihe
MS&A
-
- Hardcover ausgewählt
- Taschenbuch
- eBook
-
Sprache:Englisch
Fr. 150.00
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Gebundene Ausgabe
Erscheinungsdatum
20.10.2017
Abbildungen
XVII, 236 illus., 61 illus. in color., farbige Illustrationen, schwarz-weiss Illustrationen
Verlag
SpringerSeitenzahl
692
Maße (L/B/H)
24.1/16/4.4 cm
Gewicht
10481 g
Auflage
Third Edition 2017
Sprache
Englisch
ISBN
978-3-319-49315-2
In this text, we introduce the basic concepts for the numerical modeling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, and Navier-Stokes equations, as well as equations representing conservation laws, saddle-point problems and optimal control problems. Furthermore, we provide numerous physical examples which underline such equations. We then analyze numerical solution methods based on finite elements, finite differences, finite volumes, spectral methods and domain decomposition methods, and reduced basis methods. In particular, we discuss the algorithmic and computer implementation aspects and provide a number of easy-to-use programs. The text does not require any previous advanced mathematical knowledge of partial differential equations: the absolutely essential concepts are reported in a preliminary chapter. It is therefore suitable for students of bachelor and master courses in scientific disciplines, and recommendable to those researchers in the academic and extra-academic domain who want to approach this interesting branch of applied mathematics.
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