Partial Differential Equations: Modeling, Analysis and Numerical Approximation: 168 (International Series of Numerical Mathematics) - Hardcover

Lucquin, Brigitte; Le Dret, Hervé

 
9783319270654: Partial Differential Equations: Modeling, Analysis and Numerical Approximation: 168 (International Series of Numerical Mathematics)
Hardcover
ISBN 10: 3319270656 ISBN 13: 9783319270654
Verlag: Birkhäuser, 2016

Inhaltsangabe

This book is devoted to the study of partial differential equation problems both from the theoretical and numerical points of view. After presenting modeling aspects, it develops the theoretical analysis of partial differential equation problems for the three main classes of partial differential equations: elliptic, parabolic and hyperbolic. Several numerical approximation methods adapted to each of these examples are analyzed: finite difference, finite element and finite volumes methods, and they are illustrated using numerical simulation results. Although parts of the book are accessible to Bachelor students in mathematics or engineering, it is primarily aimed at Masters students in applied mathematics or computational engineering. The emphasis is on mathematical detail and rigor for the analysis of both continuous and discrete problems.

 

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This book is devoted to the study of partial differential equation problems both from the theoretical and numerical points of view. After presenting modeling aspects, it develops the theoretical analysis of partial differential equation problems for the three main classes of partial differential equations: elliptic, parabolic and hyperbolic. Several numerical approximation methods adapted to each of these examples are analyzed: finite difference, finite element and finite volumes methods, and they are illustrated using numerical simulation results. Although parts of the book are accessible to Bachelor students in mathematics or engineering, it is primarily aimed at Masters students in applied mathematics or computational engineering. The emphasis is on mathematical detail and rigor for the analysis of both continuous and discrete problems.

 

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Birkhäuser
Erscheinungsdatum
2016
Sprache
Englisch
ISBN 10 
3319270656
ISBN 13 
9783319270654
Einband
Tapa dura
Auflage
1
Anzahl der Seiten
408
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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