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Foundations of Computational Mathematics

Foundations of Computational Mathematics

£47.99

Part of London Mathematical Society Lecture Note Series

J. M. Ball, R. Becker, M. Braack, R. Rannacher, J.-P. Dedieu, M. Giusti, J. Heintz, A. Iserles, M. Marazzi, J. Nocedal, R. I. MaLachlan, G. R. Quispel, E. Novak, H. Wozniakowski, P. J. Olver, G. Sapiro, H. Sigurgeirsson, A. M. Stuart, D. Talay, S.-T. Yau, S. S.-T. Yau
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  • Date Published: May 2001
  • availability: Available
  • format: Paperback
  • isbn: 9780521003490

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About the Authors
  • 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.

    • Covers a broad range of topics in computational mathematics and its application areas
    • Each chapter is written by a leading authority on the subject
    • Contains up-to-date research
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    Reviews & endorsements

    '… an interesting and intriguing firework of contemporary research.' Adhemar Bultheel, 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.' ZAMM (Zeitschrift für Angewandte Mathematik und Mechanik)

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    Product details

    • Date Published: May 2001
    • format: Paperback
    • isbn: 9780521003490
    • length: 412 pages
    • dimensions: 228 x 153 x 24 mm
    • weight: 0.579kg
    • contains: 51 b/w illus. 4 tables
    • availability: Available
  • Table of Contents

    Preface
    1. Singularities and computation of minimizers for variational problems J. M. Ball
    2. Adaptive finite element methods for flow problems R. Becker, M. Braack and R. Rannacher
    3. Newton's method and some complexity aspects of the zero-finding problem J.-P. Dedieu
    4. Kronecker's smart little black boxes M. Giusti and J. Heintz
    5. Numerical analysis in Lie groups A. Iserles
    6. Feasibility control in nonlinear optimization M. Marazzi and J. Nocedal
    7. Six lectures on the geometric integration of ODEs R. I. MaLachlan and G. R. Quispel
    8. When are integration and discrepancy tractable? E. Novak and H. Wozniakowski
    9. Moving frames - in geometry, algebra, computer vision, and numerical analysis P. J. Olver
    10. Harmonic map flows and image processing G. Sapiro
    11. Statistics from computations H. Sigurgeirsson and A. M. Stuart
    12. Simulation of stochastic processes and applications D. Talay
    13. Real-time numerical solution to Duncan-Mortensen-Zakai equation S.-T. Yau and S. S.-T. Yau.

  • Editors

    Ronald Devore, University of South Carolina

    Arieh Iserles, University of Cambridge

    Endre Süli, University of Oxford

    Contributors

    J. M. Ball, R. Becker, M. Braack, R. Rannacher, J.-P. Dedieu, M. Giusti, J. Heintz, A. Iserles, M. Marazzi, J. Nocedal, R. I. MaLachlan, G. R. Quispel, E. Novak, H. Wozniakowski, P. J. Olver, G. Sapiro, H. Sigurgeirsson, A. M. Stuart, D. Talay, S.-T. Yau, S. S.-T. Yau

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