Numerical methods are used to find an approximation to those problems which are very difficult to solve symbolically. Codes are written in Python & MATLAB. For every algorithm an example has been used ...

The course provides a thorough introduction to design, analysis (both theoretical and empirical), and programming of popular methods (finite difference and variational methods like finite element) for ...

Abstract: Finite difference methods are well‐known numerical methods to solve differential equations by approximating the derivatives using different difference schemes. Theoretical results have been ...

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 ...

THE teaching of differential equations in English universities usually follows an unsatisfactory middle path. General theory is omitted as too difficult, while numerical methods are considered ...

Abstract: Stochastic differential equations evolving in a Stiefel manifold occur in several applications in Science and Engineering. For ordinary differential equations evolving in Stiefel manifolds ...

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 ...