This paper presents an implementation of the finite-difference time-domain (FD-TD) method in Java using CPML boundary conditions. The FD-TD code was validated with a canonical problem.

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

In the two-dimensional (2D) case and 5-point stencil, the Complete Centered Finite Difference Method presents a dispersion relation equivalent to Galerkin/Least-Squares Finite Element Method. In the ...

Numerical Differentiation Theory Numerical differentiation is a method of estimating the derivative of a function using finite differences. The methods implemented in this code include: Forward ...

Finite difference approximations -- Steady states and boundary value problems -- Elliptic equations -- Iterative methods for sparse linear systems -- The initial value problem for ordinary ...