Time-dependent Partial Differential Equations and Their Numerical Solution

Hedwig Ulmer Busenhart

ISBN 10: 3764361255 / ISBN 13: 9783764361259

Verlag: Birkhäuser Basel, Birkhäuser Basel Apr 2001, 2001

Beschreibung

Neuware -In these notes we study time-dependent partial differential equations and their numerical solution. The analytic and the numerical theory are developed in parallel. For example, we discuss well-posed linear and nonlinear problems, linear and nonlinear stability of difference approximations and error estimates. Special emphasis is given to boundary conditions and their discretization. We develop a rather general theory of admissible boundary conditions based on energy estimates or Laplace transform techniques. These results are fundamental for the mathematical and numerical treatment of large classes of applications like Newtonian and non-Newtonian flows, two-phase flows and geophysical problems.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 92 pp. Englisch.

Bestandsnummer des Verkäufers 9783764361259

Bibliografische Details

• Titel: Time-dependent Partial Differential Equations and Their Numerical Solution
• Verlag: Birkhäuser Basel, Birkhäuser Basel Apr 2001
• Erscheinungsjahr: 2001
• Sprache: Englisch
• ISBN-10: 3764361255
• ISBN-13: 9783764361259
• Einband: Taschenbuch
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

This book studies time-dependent partial differential equations and their numerical solution, developing the analytic and the numerical theory in parallel, and placing special emphasis on the discretization of boundary conditions. The theoretical results are then applied to Newtonian and non-Newtonian flows, two-phase flows and geophysical problems. This book will be a useful introduction to the field for applied mathematicians and graduate students.

Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.