Time-Dependant Partial Differential Equations and Their Numerical Solution (Lectures in Mathematics. ETH Zürich)
1 edition
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Publication
2001-05-11 - Birkhäuser Basel
Language
English
Word Count
23,000 words, Guess
Page Count
92 pages
Physical Format
Paperback
Identifiers
- Open LibraryOL9090492M
- ISBN-139783764361259
- ISBN-103764361255
- OCLC Control Number46321144
- Library of Congress Control Number2001025192
Classifications
- LCCQA377 .K677 2001
Description
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.
Subjects
Topics
Other Editions
- Time-Dependant Partial Differential Equations and Their Numerical Solution (Lectures in Mathematics. ETH Zürich)
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