We derive a class of globally convergent and quadratically converging algorithms for a system of nonlinear equations g(u) = 0, where g is a sufficiently smooth homeomorphism. Particular attention is directed to key parameters which control the iteration. Several examples are given that have successful in solving the coupled nonlinear PDEs which arise in semiconductor device modelling. AMS subje...

The analytical solution of the three-dimensional quasi-stationary electromagnetic field problem for a current located near conducting body with flat surface is considered. exact and approximate presented. has no restrictions on external configuration, physical properties medium, frequency. based an expansion in asymptotic series limitations: sinusoidal field, limited to frequencies above lower ...