Foundation Of Computational Mathematics Pdf

The Society for the Foundations of Computational Mathematics supports fundamental research in a wide spectrum of computational mathematics and its application areas. As part of its endeavour to promote research in computational mathematics, the society regularly organises conferences and workshops which bring together leading researchers in the diverse fields impinging on all aspects of computation. This book presents thirteen papers written by plenary speakers from the 1999 conference, all of whom are the foremost figures in their respective fields. Topics covered include complexity theory, approximation theory, optimisation, computational geometry, stochastic systems and the computation of partial differential equations. The wide range of topics covered illustrates the diversity of contemporary computational mathematics and the intricate web of its interaction with pure mathematics and application areas. This book will be of interest to researchers and graduate students in all areas of mathematics involving numerical and symbolic computations.

'… an interesting and intriguing firework of contemporary research.'

Adhemar Bultheel Source: Bulletin of the Belgian Mathematical Society

'Each chapter provides a readable and comprehensive introduction to and overview of its topic, and in many cases also presents new research results. Collectively the chapters provide a very clear indication of the enormous breadth of computational mathematics, its close interaction with other developments within mathematics, and its impact in both mathematics and applications.'

Source: ZAMM (Zeitschrift für Angewandte Mathematik und Mechanik)

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Contents

Select Frontmatter

Frontmatter
pp i-iv
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Select Contents

Contents
pp v-vi
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Select Preface

Preface
pp vii-viii
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Select Adaptive finite element methods for flow problems

Adaptive finite element methods for flow problems
pp 21-44
- By R. Becker, Universität Heidelberg, M. Braack, Universität Heidelberg, R. Rannacher, Universität Heidelberg
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Select Kronecker's smart, little black boxes

Kronecker's smart, little black boxes
pp 69-104
- By M. Giusti, UMS CNRS–Polytechnique, J. Heintz, Universidad de Cantabria
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Select Numerical analysis in Lie groups

Numerical analysis in Lie groups
pp 105-124
- By A. Iserles, University of Cambridge
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Select Feasibility control in nonlinear optimization

Feasibility control in nonlinear optimization
pp 125-154
- By M. Marazzi, Northwestern University, J. Nocedal, Northwestern University
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Select Six lectures on the geometric integration of ODEs

Six lectures on the geometric integration of ODEs
pp 155-210
- By R. I. McLachlan, Massey University, G. R. Quispel, La Trobe University
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Select When are integration and discrepancy tractable?

When are integration and discrepancy tractable?
pp 211-266
- By E. Novak, Universität Erlangen-Nürnberg, H. Wozniakowski, Columbia University
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Select Harmonic map flows and image processing

Harmonic map flows and image processing
pp 299-322
- By G. Sapiro, University of Minnesota
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Select Statistics from computations

Statistics from computations
pp 323-344
- By H. Sigurgeirsson, Stanford University, A. M. Stuart, Warwick University
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Select Real-time numerical solution to Duncan-Mortensen-Zakai equation

Real-time numerical solution to Duncan-Mortensen-Zakai equation
pp 361-400
- By S.-T. Yau, Harvard University, S. S.-T. Yau, University of Illinois
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