Differential‐algebraic equation (DAE) systems combine differential equations with algebraic constraints to describe a wide range of dynamical phenomena in engineering, physics and applied sciences.

Numerical solution of differential and integral equations encompasses a spectrum of discretisation and approximation strategies to tackle problems that resist closed-form analysis. For ordinary and ...

General aspects of polynomial interpolation theory. Formulations in different basis, e.g. Lagrange, Newton etc. and their approximation and computational properties ...

Partial differential equations (PDE) describe the behavior of fluids, structures, heat transfer, wave propagation, and other physical phenomena of scientific and engineering interest. This course ...

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 ...