Numerical Solution of Nonlinear Parabolic Equations.

摘要

A method of solution is obtained for a class of nonlinear parabolic partial differential equations. An analysis is made of the existence and uniqueness of a solution to a special class of semilinear systems arising from various discretisations of the differential equation. A numerical procedure for solving singular problems is given. A method of approximate block relaxation is shown to converge globally, and an application to a quadratic system is presented. (Author)