The State of the Art in Numerical Analysis

Hardcover | July 1, 1997

EditorI. S. Duff, G. A. Watson

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The 1996 conference on the State of the Art in Numerical Analysis was organized to provide the numerical analysis community, and users of numerical methods, with a forum where an account of the important recent developments in the subject could be presented in a coherent and concentrated wayin a manner accessible to the non-specialist in the sub-area. This volume extends to a much wider audience the opportunity given to those who attended the meeting. It contains full versions of all the papers presented, with one exception on Neural Nets. In addition to recent developments inmainstream topics, linear algebra, ordinary differential equations, approximation and optimization, it contains papers devoted to two important application areas, numerical tomography and image processing.Compare with the corresponding 1986 volume, some topics show a continuous and natural development, while others show significant departure from conventional trends. A recurring theme is the solution of large problems and exploitation of structure. Underlying many of the developments is the fact thatincreasingly complicated and sophisticated problems are now amenable to an increasingly powerful range of numerical techniques. This is greatly helped by the advent of excellent computer languages, like MATLAB, and state of the art Fortran software such as LAPACK, so that the fundamental buildingblocks for much of the armoury of a numerical analysis are now readily accessible.

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The 1996 conference on the State of the Art in Numerical Analysis was organized to provide the numerical analysis community, and users of numerical methods, with a forum where an account of the important recent developments in the subject could be presented in a coherent and concentrated wayin a manner accessible to the non-specialist ...

I. S. Duff is at Rutherford Appleton Laboratory. G. A. Watson is at University of Dundee.

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Format:HardcoverDimensions:576 pages, 9.21 × 6.14 × 1.38 inPublished:July 1, 1997Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0198500149

ISBN - 13:9780198500148

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Table of Contents

N J Higham: Recent Developments in Dense Numerical Linear AlgebraI S Duff: Sparse Numerical Linear Algebra: Direct Methods and PreconditioningG H Golub and H A van der Vorst: Closer to the Solution: Iterative Linear SolversH A van der Vorst and G H Golub: 150 Years Old and Still Alive: EigenproblemsJ M Sanz-Serna: Geometric IntegrationA Stuart: Convergence and Stability in the Numerical Approximation of Dynamical SystemsA Iserles: Beyond the Classical Theory of Computational Ordinary Differential EquationsC T H Baker: Numerical Analysis of Volterra Functional and Integral EquationsK E Atkinson: The Numerical Solution of Boundary Integral EquationsG A Watson: Aspects of Approximation with Emphasis on the Univariate CaseM J D Powell: A Review of Methods for Multivariable Interpolation at Scattered Data PointsJ Nocedal: Large Scale Unconstrained OptimizationD F Shanno and E M Simantiraki: Interior Point Methods for Linear and Nonlinear ProgrammingA R Conn, N I M Gould and Ph L Toint: Methods for Nonlinear Constraints in Optimization CalculationsF Brezzi, L P Franca, T J R Hughes and A Russo: Stabilization Techniques and Subgrid Scales CapturingC M Elliott: Approximation of Curvature Dependent Interface MotionE Suli and P Houston: Finite Element Methods for Hyperbolic Problems: a Posteriori Error Analysis and AdaptivityK W Morton: Approximation of Multidimensional Hyperbolic Partial Differential EquationsF Natterer: Algorithms in TomographyF Guichard and J-M Morel: Partial Differential Equations and Image Iterative Filtering