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Using collage coding to solve inverse problems in partial differential equations. (English) Zbl 1107.65099
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).
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].

65N21 Numerical methods for inverse problems for boundary value problems involving PDEs
35F05 Linear first-order PDEs
35R30 Inverse problems for PDEs
Maple; Maplet