| A Direct Method for Parabolic Pde Constrained Optimization Problems 2014 Edition Contributor(s): Potschka, Andreas (Author) |
|
 |
ISBN: 3658044756 ISBN-13: 9783658044756 Publisher: Springer Spektrum OUR PRICE: $52.24 Product Type: Paperback Published: December 2013 |
| Additional Information |
| BISAC Categories: - Mathematics | Applied - Technology & Engineering | Chemical & Biochemical - Mathematics | Differential Equations - General |
| Dewey: 510 |
| Series: Advances in Numerical Mathematics |
| Physical Information: 0.53" H x 5.83" W x 8.27" (0.68 lbs) 216 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Andreas Potschka discusses a direct multiple shooting method for dynamic optimization problems constrained by nonlinear, possibly time-periodic, parabolic partial differential equations. In contrast to indirect methods, this approach automatically computes adjoint derivatives without requiring the user to formulate adjoint equations, which can be time-consuming and error-prone. The author describes and analyzes in detail a globalized inexact Sequential Quadratic Programming method that exploits the mathematical structures of this approach and problem class for fast numerical performance. The book features applications, including results for a real-world chemical engineering separation problem. |