Fourier analysis and numerical methods have long played a pivotal role in the solution of differential equations across science and engineering. By decomposing complex functions into sums of ...

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 ...

This is a preview. Log in through your library . Abstract This article considers estimation of constant and time-varying coefficients in nonlinear ordinary differential equation (ODE) models where ...

The study of differential equations in Banach spaces represents a fundamental intersection between functional analysis and the theory of dynamical systems. By extending classical methods beyond ...

Abstract: This thesis investigated the dimension reduction of functional data (curve and imaging data)and statistical testing for ordinary differential equation (ODE) models. In the first part, we ...

In his doctoral thesis, Michael Roop develops numerical methods that allow finding physically reliable approximate solutions ...

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: ...