| Time-Dependent Partial Differential Equations and Their Numerical Solution 2001 Edition Contributor(s): Kreiss, Heinz-Otto (Author), Ulmer Busenhart, Hedwig (Author) |
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ISBN: 3764361255 ISBN-13: 9783764361259 Publisher: Birkhauser OUR PRICE: $52.24 Product Type: Paperback Published: April 2001 |
| Additional Information |
| BISAC Categories: - Mathematics | Differential Equations - Partial - Mathematics | Applied - Mathematics | Mathematical Analysis |
| Dewey: 515.353 |
| LCCN: 2001025192 |
| Series: Lectures in Mathematics. Eth Zürich |
| Physical Information: 0.35" H x 6.75" W x 9.47" (0.43 lbs) 82 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |