Parameter estimation in differential equation models is a critical endeavour in the mathematical modelling of dynamic systems. Such models, represented by ordinary differential equations (ODEs), ...

Artificial intelligence (AI) systems, particularly artificial neural networks, have proved to be highly promising tools for ...

Develop a foundation of analytical mechanics and multiphysics modeling. Use individual and team exercises to build skills for a dynamic systems approach. Engineered systems increasingly must exploit ...

Delay differential equations (DDEs) are widely used in ecology, physiology and many other areas of applied science. Although the form of the DDE model is usually proposed based on scientific ...

We consider model selection and estimation in a context where there are competing ordinary differential equation (ODE) models, and all the models are special cases of a "full" model. We propose a ...

Introduces the theory and applications of dynamical systems through solutions to differential equations.Covers existence and uniqueness theory, local stability properties, qualitative analysis, global ...