Title: Numerical Data Fitting in Dynamical Systems
Description: 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.
Subjects: Chemistry, Differentiable dynamical systems, Computer science, Electronic data processing, Mathematics, Mathematical optimization, Statistics, Numeric Computing, Optimization, Mathematical Modeling and Industrial Mathematics, Applications of Mathematics, Statistics for Life Sciences, Medicine, Health Sciences