An intermediate level course in the analytical and numerical study of ordinary differential equations, with an emphasis on their applications to the real world. Exact solution methods for ordinary ...

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 ...

Infinite Systems of Ordinary Differential Equations with Applications to Certain Second-Order Partial Differential Equations Daniel C. Lewis, Jr Transactions of the American Mathematical Society , pp.

An advanced course in the analytical and numerical study of ordinary and partial differential equations, building on techniques developed in Differential Equations I. Ordinary differential equations: ...