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 methods for partial differential equations (PDEs) provide systematic frameworks for approximating solutions to mathematical models that describe physical, biological and engineering systems.

Methods for solving partial differential equations have progressed from analytical solutions to numerical simulations and, ...

Course on using spectral methods to solve partial differential equations. We will cover the exponential convergence of spectral methods for periodic and non-periodic problem, and a general framework ...