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 ...

Numerical analysis develops, analyses and implements algorithms for approximating the solutions of mathematical problems that cannot be expressed in closed form. Central challenges include ...

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.

An error analysis of approximation of deltas (derivatives of the solution to the Cauchy problem for parabolic equations) by finite differences is given, taking into ...