| Two-Scale Approach to Oscillatory Singularly Perturbed Transport Equations 2017 Edition Contributor(s): Frénod, Emmanuel (Author) |
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ISBN: 3319646672 ISBN-13: 9783319646671 Publisher: Springer OUR PRICE: $47.49 Product Type: Paperback Published: October 2017 |
| Additional Information |
| BISAC Categories: - Mathematics | Number Systems - Mathematics | Numerical Analysis |
| Dewey: 518 |
| Series: Lecture Notes in Mathematics |
| Physical Information: 0.3" H x 6.14" W x 9.21" (0.45 lbs) 126 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This book presents the classical results of the two-scale convergence theory and explains - using several figures - why it works. It then shows how to use this theory to homogenize ordinary differential equations with oscillating coefficients as well as oscillatory singularly perturbed ordinary differential equations. In addition, it explores the homogenization of hyperbolic partial differential equations with oscillating coefficients and linear oscillatory singularly perturbed hyperbolic partial differential equations. Further, it introduces readers to the two-scale numerical methods that can be built from the previous approaches to solve oscillatory singularly perturbed transport equations (ODE and hyperbolic PDE) and demonstrates how they can be used efficiently. This book appeals to master's and PhD students interested in homogenization and numerics, as well as to the Iter community. |