an:05117554
Zbl 1107.65099
Kunze, H.; Crabtree, D.
Using collage coding to solve inverse problems in partial differential equations
EN
Kotsireas, Ilias S. (ed.), Maple conference 2005. Proceedings of the conference, Waterloo Ontario, Canada, July 17--21, 2005.With the assistance of Ian J. Sinclair, James Duketow, Robert M. Kalbfleisch. Waterloo: Maplesoft (ISBN 1-894511-85-9/pbk). 319-330 (2005).
2005
a
65N21 35F05 35R30
parameter estimation; systems of first-order linear partial differential equations
Summary: Collage coding attempts to solve inverse problems by finding a system with fixed-point close to a target solution or observed data. The method can prove useful in model identification and parameter estimation. Collage coding is discussed in general, and we develop a collage coding framework for treating inverse problems for systems of first-order linear partial differential equations. We supply the reader with easily modifiable source code for the maplet which we have used to treat our example.
For the entire collection see [Zbl 1099.65002].