We implemented a WZ decomposition and the Gauss-Jordan method to solve linear systems and the Jacobi method for eigenvalue and eigenvector computations.
We implemented T800BAR (interval arithmetic routines similar to ACRITH). It is uses for numerical existence proofs, high accuracy ODE solvers and inverting very bad conditioned matrices.
We developed a parallel multiple shooting algorithm to handle two-point boundary value equations. The main feature is an automatic homotopy procedure to analyse bifurcation diagrams.
We implemented a cg - algorithm to solve the two-dimensional Stokes equation, a Newton-multigrid algorithm to solve the Bratu problem, a simultaneous vector iteration for the calculation of the eigenvalues of the plate equation and a nonlinear cg - method for the driven cavity problem.
Home-Page