Possible Projects (under construction) Splines (other than linear or cubic), or other advanced approximation methods Advanced methods for solving ordinary differential equations (ODE) Apply advanced ODE methods to the Lorenz system (or to other complex dynamical systems) Apply ODE methods to celestial mechanics Methods for solving ODE boundary value problems Methods for solving elliptic partial differential equations (PDE) Methods for solving parabolic PDE Methods for solving hyperbolic PDE Finite-element methods for differential equations The Fast Fourier Transform (FFT)