The main objective of the book is to give an overview of numerical methods to compute parameters of a dynamical model by a least squares fit of experimental data. The mathematical equations under consideration are explicit model functions or steady state systems in the simplest case, or responses of dynamical systems defined by ordinary differential equations, differential algebraic equations, partial differential equations, and partial differential algebraic equations (1D). Many different mathematical disciplines must be combined to find a solution, for example nonlinear programming, least squares optimization, systems of nonlinear equations, ordinary differential equations, discretization of partial differential equations, sensitivity analysis, automatic differentiation, and statistics.
- ISBN10 1441957634
- ISBN13 9781441957634
- Publish Date 15 January 2014 (first published 31 December 2002)
- Publish Status Unknown
- Out of Print 18 October 2014
- Publish Country US
- Imprint Springer-Verlag New York Inc.
- Format eBook
- Pages 412
- Language English