Numerical Approximation of Partial Differential Equations

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  • Engels
  • Paperback
  • 9783540852674
  • 24 september 2008
  • 543 pagina's
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Samenvatting

Everything is more simple than one thinks but at the same time more complex than one can understand Johann Wolfgang von Goethe To reach the point that is unknown to you, you must take the road that is unknown to you St. John of the Cross This is a book on the numerical approximation ofpartial differential equations (PDEs).

This book deals with the numerical approximation of partial differential equations. Its scope is to provide a thorough illustration of numerical methods, carry out their stability and convergence analysis, derive error bounds, and discuss the algorithmic aspects relative to their implementation. A sound balancing of theoretical analysis, description of algorithms and discussion of applications is one of its main features. Many kinds of problems are addressed. A comprehensive theory of Galerkin method and its variants, as well as that of collocation methods, are developed for the spatial discretization. These theories are then specified to two numerical subspace realizations of remarkable interest: the finite element method and the spectral method.

From the reviews:

"...The book is excellent and is addressed to post-graduate students, research workers in applied sciences as well as to specialists in numerical mathematics solving PDE. Since it is written very clearly, it would be acceptable for undergraduate students in advanced courses of numerical mathematics. Readers will find this book to be a great pleasure."--MATHEMATICAL REVIEWS

Productspecificaties

Inhoud

Taal
en
Bindwijze
Paperback
Oorspronkelijke releasedatum
24 september 2008
Aantal pagina's
543
Illustraties
Nee

Betrokkenen

Hoofdauteur
Alfio Quarteroni
Tweede Auteur
Alberto Valli
Co Auteur
Alberto Valli

Vertaling

Originele titel
Numerical Approximation of Partial Differential Equations

Overige kenmerken

Editie
1
Extra groot lettertype
Nee
Product breedte
157 mm
Product hoogte
35 mm
Product lengte
237 mm
Studieboek
Ja
Verpakking breedte
157 mm
Verpakking hoogte
35 mm
Verpakking lengte
237 mm
Verpakkingsgewicht
849 g

EAN

EAN
9783540852674
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