Foundations of computational mathematics / edited by Ronald A. DeVore, Arieh Iserles, Endre Süli.

Format:

Book

Contributor:

DeVore, Ronald A., editor.

Iserles, A., editor.

Süli, Endre, 1956- editor.

Series:

London Mathematical Society lecture note series ; 284.

London Mathematical Society lecture note series ; 284

Language:

English

Subjects (All):

Numerical analysis--Congresses.

Numerical analysis.

Physical Description:

1 online resource (viii, 400 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2001.

Language Note:

English

Summary:

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.

Contents:

Singularities and computation of minimizers for variational problems / J.M. Ball

Adaptive finite element methods for flow problems / R. Becker, M. Braack & R. Rannacher

Newton's method and some complexity aspects of the zero-finding problem / J.-P. Dedieu

Kronecker's smart, little black boxes / M. Giusti & J. Heintz

Numerical analysis in Lie groups / A. Iserles

Feasibility control in nonlinear optimization / M. Marazzi & J. Nocedal

Six lectures on the geometric integration of ODEs / R.I. McLachlan & G.R. Quispel

When are integration and discrepancy tractable? / E. Novak & H. Woźniakowski

Moving frames, in geometry, algebra, computer vision, and numerical analysis / P.J. Olver

Harmonic map flows and image processing / G. Sapiro

Statistics from computations / H. Sigurgeirsson & A.M. Stuart

Simulation of stochastic processes and applications / D. Talay

Real-time numerical solution to Duncan-Mortensen-Zakai equation / S.-T. Yau & S.S.-T. Yau.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and index.

ISBN:

1-139-88569-3

1-107-09930-7

1-107-09314-7

1-107-08997-2

1-107-08692-2

1-107-10184-0

1-107-36019-6