Acceleration of Decomposition by Eigenfunctions of a
Model Boundary Value Problem with a Discontinuous Coefficient
We consider the convergence acceleration problem of a decomposition by eigenfunctions of a simple model equation with non-smooth coefficient. Two acceleration methods are suggested. The first is analog of well-known acceleration that uses Bernoulli polynomials. The second one is analog of . The comparison of these two methods are given. Numerical results and asymptotic errors of corresponding approximations are presented.