Introduction to Partial Differential Equations with MATLAB

Jeffery M. Cooper

ISBN 10: 1461272661 / ISBN 13: 9781461272663

Verlag: Birkhäuser Boston, Birkhäuser Boston Okt 2012, 2012

Beschreibung

Neuware -Overview The subject of partial differential equations has an unchanging core of material but is constantly expanding and evolving. The core consists of solution methods, mainly separation of variables, for boundary value problems with constant coeffi cients in geometrically simple domains. Too often an introductory course focuses exclusively on these core problems and techniques and leaves the student with the impression that there is no more to the subject. Questions of existence, uniqueness, and well-posedness are ignored. In particular there is a lack of connection between the analytical side of the subject and the numerical side. Furthermore nonlinear problems are omitted because they are too hard to deal with analytically. Now, however, the availability of convenient, powerful computational software has made it possible to enlarge the scope of the introductory course. My goal in this text is to give the student a broader picture of the subject. In addition to the basic core subjects, I have included material on nonlinear problems and brief discussions of numerical methods. I feel that it is important for the student to see nonlinear problems and numerical methods at the beginning of the course, and not at the end when we run usually run out of time. Furthermore, numerical methods should be introduced for each equation as it is studied, not lumped together in a final chapter.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 560 pp. Englisch.

Bestandsnummer des Verkäufers 9781461272663

Bibliografische Details

• Titel: Introduction to Partial Differential Equations with MATLAB
• Verlag: Birkhäuser Boston, Birkhäuser Boston Okt 2012
• Erscheinungsjahr: 2012
• Sprache: Englisch
• ISBN-10: 1461272661
• ISBN-13: 9781461272663
• Einband: Taschenbuch
• Zustand: Neu
• Abmessungen: 235B x 155 H x 30 T Millimeter Breite: 235 mm, Höhe: 155 mm, Tiefe: 30 mm
• Gewicht: 838 Gramm

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Inhaltsangabe

Overview The subject of partial differential equations has an unchanging core of material but is constantly expanding and evolving. The core consists of solution methods, mainly separation of variables, for boundary value problems with constant coeffi­ cients in geometrically simple domains. Too often an introductory course focuses exclusively on these core problems and techniques and leaves the student with the impression that there is no more to the subject. Questions of existence, uniqueness, and well-posedness are ignored. In particular there is a lack of connection between the analytical side of the subject and the numerical side. Furthermore nonlinear problems are omitted because they are too hard to deal with analytically. Now, however, the availability of convenient, powerful computational software has made it possible to enlarge the scope of the introductory course. My goal in this text is to give the student a broader picture of the subject. In addition to the basic core subjects, I have included material on nonlinear problems and brief discussions of numerical methods. I feel that it is important for the student to see nonlinear problems and numerical methods at the beginning of the course, and not at the end when we run usually run out of time. Furthermore, numerical methods should be introduced for each equation as it is studied, not lumped together in a final chapter.