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PRINTED BOOKS

Title The state of the art in numerical analysis / edited by I.S. Duff and G.A. Watson.

Published Oxford : Clarendon Press ; New York : Oxford University Press, [1997]
©1997

Copies

Location Call No. Status
 UniM ERC  518 STAT    AVAILABLE
Physical description pages cm.
Series The Institute of Mathematics and Its Applications conference series ; new ser., 63.
Institute of Mathematics and Its Applications conference series ; new ser., 63.
Notes "Based on proceedings of a conference on the state of the art in numerical analysis. Organized by the Institute of Mathematics and Its Applications and held at York University in April 1996."
Bibliography Includes bibliographical references.
Contents Recent Developments in Dense Numerical Linear Algebra / N. J. Higham -- Sparse Numerical Linear Algebra: Direct Methods and Preconditioning / I. S. Duff -- Closer to the Solution: Iterative Linear Solvers / G. H. Golub and H. A. van der Vorst -- 150 Years Old and Still Alive: Eigenproblems / H. A. van der Vorst and G. H. Golub -- Geometric Integration / J. M. Sanz-Serna -- Convergence and Stability in the Numerical Approximation of Dynamical Systems / A. Stuart -- Beyond the Classical Theory of Computational Ordinary Differential Equations / A. Iserles -- Numerical Analysis of Volterra Functional and Integral Equations / C. T. H. Baker -- The Numerical Solution of Boundary Integral Equations / K. E. Atkinson -- Aspects of Approximation with Emphasis on the Univariate Case / G. A. Watson -- A Review of Methods for Multivariable Interpolation at Scattered Data Points / M. J. D. Powell -- Large Scale Unconstrained Optimization / J. Nocedal.
Interior Point Methods for Linear and Nonlinear Programming / D. F. Shanno and E. M. Simantiraki -- Methods for Nonlinear Constraints in Optimization Calculations / A. R. Conn, N. I. M. Gould and Ph. L. Toint -- Stabilization Techniques and Subgrid Scales Capturing / F. Brezzi, L. P. Franca and T. J. R. Hughes [et al.] -- Approximation of Curvature Dependent Interface Motion / C. M. Elliott -- Finite Element Methods for Hyperbolic Problems: a Posteriori Error Analysis and Adaptivity / E. Suli and P. Houston -- Approximation of Multidimensional Hyperbolic Partial Differential Equations / K. W. Morton -- Algorithms in Tomography / F. Natterer -- Partial Differential Equations and Image Iterative Filtering / F. Guichard and J.-M. Morel.
Summary For this volume, experts in a wide range of fields in numerical analysis provide clear and concise reviews of current work, accessible to non-specialists. Topics include linear algebra, ordinary differential equations, approximation, and optimization, as well as important new applications in numerical tomography and image processing. First presented in 1996 at the State of the Art in Numerical Analysis conference, the papers reflect the rapid progress since the previous conference in 1986.
Other author Duff, Iain S.
Watson, G. A. (G. Alistair)
Institute of Mathematics and Its Applications.
Subject Numerical analysis -- Congresses.
ISBN 0198500149 (hardcover)