โ Scribed by G.A. Gravvanis
No coin nor oath required. For personal study only.
A new class of inner-outer iterative procedures in conjunction with Picard-Newton methods based on explicit preconditioning iterative methods for solving nonlinear systems is presented. Explicit preconditioned iterative schemes, based on the explicit computation of a class of domain decomposition generalized approximate inverse matrix techniques are presented for the efficient solution of nonlinear boundary value problems on multiprocessor systems. Applications of the new composite scheme on characteristic nonlinear boundary value problems are discussed and numerical results are given.
๐ SIMILAR VOLUMES
Questions of domain decomposition are considered in connection with the numerical solution of parabolic problems in composite domains. Special schemes, which split the problem into subproblems to be solved in simple domains, are proposed. Regionally-additive difference schemes in domains with and w
The sinc-Galerkin method is used to approximate solutions of nonlinear problems involving nonlinear second-, fourth-, and sixth-order differential equations with homogeneous and nonhomogeneous boundary conditions. The scheme is tested on four nonlinear problems. The results demonstrate the reliabili