Numerical Models for Differential Problems

Dekorationsartikel gehören nicht zum Leistungsumfang.

Sprache: Englisch

55,40 €*

-14 % UVP 64,19 €

inkl. MwSt.

Versandkostenfrei per Post / DHL

Lieferzeit 2-4 Werktage

Kategorien:

Der Artikel ist nicht in deutscher Sprache verfasst.
Die Sprache der Produktbeschreibung und Details kann in Englisch angegeben sein. Sollten Sie Verständnisprobleme haben, wenden Sie sich gerne an uns.

Beschreibung

In this text, we introduce the basic concepts for the numerical modelling 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.

Über den Autor

The Author is Professor and Director of the Chair of Modelling and Scientific Computing (CMCS) at the Institute of Analysis and Scientific Computing of EPFL, Lausanne (Switzerland), since 1998, Professor of Numerical Analysis at the Politecnico di Milano (Italy) since 1989, and Scientific Director of MOX, since 2002. Author of 22 books published with Springer, and of about 200 papers published in refereed international Journals, Conference Proceedings and Magazines, Alfio Quarteroni is actually one of the strongest and reliable mathematicians in the world in the field of Modelling and SC.

Zusammenfassung

Author faces here the basic concepts for the numerical modeling of partial differential equations

An outstanding reference work in this branch of applied mathematics

In particular, the author discuss the algorithmic and computer implementation aspects and provide a number of easy-to-use programs

Includes supplementary material: [...]

Inhaltsverzeichnis

1 A brief survey of partial differential equations.- 2 Elements of functional analysis.- 3 Elliptic equations.- 4 The Galerkin finite element method for elliptic problems.- 5 Parabolic equations.- 6 Generation of 1D and 2D grids.- 7 Algorithms for the solution of linear systems.- 8 Elements of finite element programming.- 9 The finite volume method.- 10 Spectral methods.- 11 Discontinuous element methods (DG and mortar).- 12 Diffusion-transport-reaction equations.- 13 Finite differences for hyperbolic equations.- 14 Finite elements and spectral methods for hyperbolic equations.- 15 Nonlinear hyperbolic problems.- 16 Navier-Stokes equations.- 17 Optimal control of partial differential equations.- 18 Domain decomposition methods.- 19 Reduced basis approximation for parametrized partial differential equations.

Details

Erscheinungsjahr:	2016
Fachbereich:	Allgemeines
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xix 658 S. 70 s/w Illustr. 93 farbige Illustr. 658 p. 163 illus. 93 illus. in color.
ISBN-13:	9788847058835
ISBN-10:	884705883X
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Quarteroni, Alfio
Auflage:	Softcover reprint of the original 2nd edition 2014
Hersteller:	Springer Milan Springer Italia
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 37 mm
Von/Mit:	Alfio Quarteroni
Erscheinungsdatum:	23.08.2016
Gewicht:	1,013 kg

Artikel-ID: 103472951