Solving hyperbolic PDEs using the Lax-Wendroff Scheme and a finite volume method.

The numerical scheme for fuild problems, such as Navier-Stokes equation and natural convection equation.

Implementation of the method of characteristics for solving PDEs in Simulink

Computational framework for solving the radiative transfer equation in one spatial dimension using a Godunov-type finite volume method with piecewise linear reconstruction of the solution within each cell of the computational domain.

On the existence of local analytic solutions of PDEs