Nonlinear partial differential equations and dynamical systems
著者
書誌事項
Nonlinear partial differential equations and dynamical systems
(Advances in numerical analysis / edited by Will Light, v. 1)
Clarendon Press , Oxford University Press, 1991
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注記
"Proceedings of the fourth Summer School in Numerical Analysis, which was held at Lancaster University from 15th July to 3rd August 1990 ... sponsored by the Science and Engineering Research Council of Great Britain"--Pref
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
- 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.
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