Most of the problems arising in science and engineering are nonlinear. They are inherently difficult to solve. Traditional analytical approximations are valid only for weakly nonlinear problems, and often break down for problems with strong nonlinearity. This book presents the current theoretical developments and applications of Keller-Box method to nonlinear problems. The first half of the bookaddresses basic concepts to understand the theoretical framework for the method. In the second half of the book, the authorsgive a number of examples of coupled nonlinear problems that have been solved by means of the Keller-Box method. Theparticular area of focusis on fluid flow problems governed by nonlinear equations.