Advances in Numerical Analysis: Volume I: Nonlinear Partial Equations and Dynami

Publisher Description

This two volume work presents 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. The work arises from a Summer School covering recent trends in the subject. The chapters are written by the main lecturers at the School each of whom are internationally renowned experts in their respective fields. This extensive coverage of the major areas of research will be invaluable forboth theoreticians and practitioners. This volume covers research in the numerical analysis of nonlinear phenomena: evolution equations, free boundary problems, spectral methods, andnumerical methods for dynamical systems, nonlinear stability, and differential equations on manifolds.

Table of Contents

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.

Review

'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

Long Description

This two volume work presents 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. The work arises from a Summer School covering recent trends in the subject. The chapters are written by the main lecturers at the School each of whom are internationally renowned experts in their respective fields. This extensive coverage of the major areas of research will be invaluable for
both theoreticians and practitioners. This volume covers research in the numerical analysis of nonlinear phenomena: evolution equations, free boundary problems, spectral methods, and
numerical methods for dynamical systems, nonlinear stability, and differential equations on manifolds.

Review Text

'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

Review Quote

'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

Details