The aim of this work is to present research workers and graduate students in numerical analysis with a state-of-the-art survey of some of the most active areas of numerical analysis. This volume covers research in the numerical analysis of nonlinear phenomena.

Preface; L. Wahlbin: Finite element methods for evolution equations; R. Nochetto: Finite element methods for parabolic free boundary problems; A. Quateroni: An introduction to spectral methods for partial differential equations; J.M. Sanz Serna: Two topics in nonlinear stability; W. Beyn: Numerical methods for dynamical systems; W. Rheinboldt: The theory and numerics of differential-algebraic equations.

'The standard is consistently high and the book deserves a wide readership among both theoreticians and practitioners.' ASLIB Booklist, Vol.56, No. 12, December 1991