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Adaptive Numerical Solution of PDEs
Taschenbuch von Martin Weiser (u. a.)
Sprache: Englisch

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Beschreibung
This book deals with the general topic ¿Numerical solution of partial differential equations (PDEs)¿ with a focus on adaptivity of discretizations in space and time. By and large, introductory textbooks like ¿Numerical Analysis in Modern Scientific Computing¿ by Deuflhard and Hohmann should suffice as a prerequisite. The emphasis lies on elliptic and parabolic systems. Hyperbolic conservation laws are treated only on an elementary level excluding turbulence.
Numerical Analysis is clearly understood as part of Scientific Computing. The focus is on the efficiency of algorithms, i.e. speed, reliability, and robustness, which directly leads to the concept of adaptivity in algorithms. The theoretical derivation and analysis is kept as elementary as possible. Nevertheless required somewhat more sophisticated mathematical theory is summarized in comprehensive form in an appendix. Complex relations are explained by numerous figures and illustrating examples. Non-trivial problems from regenerative energy, nanotechnology, surgery, and physiology are inserted.
The text will appeal to graduate students and researchers on the job in mathematics, science, and technology. Conceptually, it has been written as a textbook including exercises and a software list, but at the same time it should be well-suited for self-study.
This book deals with the general topic ¿Numerical solution of partial differential equations (PDEs)¿ with a focus on adaptivity of discretizations in space and time. By and large, introductory textbooks like ¿Numerical Analysis in Modern Scientific Computing¿ by Deuflhard and Hohmann should suffice as a prerequisite. The emphasis lies on elliptic and parabolic systems. Hyperbolic conservation laws are treated only on an elementary level excluding turbulence.
Numerical Analysis is clearly understood as part of Scientific Computing. The focus is on the efficiency of algorithms, i.e. speed, reliability, and robustness, which directly leads to the concept of adaptivity in algorithms. The theoretical derivation and analysis is kept as elementary as possible. Nevertheless required somewhat more sophisticated mathematical theory is summarized in comprehensive form in an appendix. Complex relations are explained by numerous figures and illustrating examples. Non-trivial problems from regenerative energy, nanotechnology, surgery, and physiology are inserted.
The text will appeal to graduate students and researchers on the job in mathematics, science, and technology. Conceptually, it has been written as a textbook including exercises and a software list, but at the same time it should be well-suited for self-study.
Über den Autor
Peter Deuflhard and Martin Weiser, Konrad-Zuse-Zentrum für Informationstechnik Berlin, Germany.
Zusammenfassung
Exklusives Verkaufsrecht für: Gesamte Welt.
Details
Erscheinungsjahr: 2012
Fachbereich: Arithmetik & Algebra
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: XI
421 S.
9 s/w Tab.
9 b/w tbl.
ISBN-13: 9783110283105
ISBN-10: 3110283107
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Weiser, Martin
Deuflhard, Peter
Auflage: 1. Auflage
Hersteller: De Gruyter
de Gruyter, Walter, GmbH
Verantwortliche Person für die EU: Walter de Gruyter GmbH, De Gruyter GmbH, Genthiner Str. 13, D-10785 Berlin, productsafety@degruyterbrill.com
Maße: 240 x 170 x 27 mm
Von/Mit: Martin Weiser (u. a.)
Erscheinungsdatum: 17.08.2012
Gewicht: 0,825 kg
Artikel-ID: 105152036
Über den Autor
Peter Deuflhard and Martin Weiser, Konrad-Zuse-Zentrum für Informationstechnik Berlin, Germany.
Zusammenfassung
Exklusives Verkaufsrecht für: Gesamte Welt.
Details
Erscheinungsjahr: 2012
Fachbereich: Arithmetik & Algebra
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: XI
421 S.
9 s/w Tab.
9 b/w tbl.
ISBN-13: 9783110283105
ISBN-10: 3110283107
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Weiser, Martin
Deuflhard, Peter
Auflage: 1. Auflage
Hersteller: De Gruyter
de Gruyter, Walter, GmbH
Verantwortliche Person für die EU: Walter de Gruyter GmbH, De Gruyter GmbH, Genthiner Str. 13, D-10785 Berlin, productsafety@degruyterbrill.com
Maße: 240 x 170 x 27 mm
Von/Mit: Martin Weiser (u. a.)
Erscheinungsdatum: 17.08.2012
Gewicht: 0,825 kg
Artikel-ID: 105152036
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