State of the Art in Numerical Analysis : Based on the Proceedings of a Conference on the State of the Art in Numerical Analysis

Duff, Iain S. (EDT); Watson, G. A. (EDT); Institute of Mathematics and Its Applications (COR)

ISBN 10: 0198500149 / ISBN 13: 9780198500148

Editore: Clarendon Press, 1998

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Titolo: State of the Art in Numerical Analysis : ...

Casa editrice: Clarendon Press

Data di pubblicazione: 1998

Legatura: Rilegato

Condizione: New

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Riassunto:

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 way in 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 in mainstream 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 that increasingly 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 building blocks for much of the armoury of a numerical analysis are now readily accessible.

Contenuti:

• N J Higham: Recent Developments in Dense Numerical Linear Algebra
• I S Duff: Sparse Numerical Linear Algebra: Direct Methods and Preconditioning
• G H Golub and H A van der Vorst: Closer to the Solution: Iterative Linear Solvers
• H A van der Vorst and G H Golub: 150 Years Old and Still Alive: Eigenproblems
• J M Sanz-Serna: Geometric Integration
• A Stuart: Convergence and Stability in the Numerical Approximation of Dynamical Systems
• A Iserles: Beyond the Classical Theory of Computational Ordinary Differential Equations
• C T H Baker: Numerical Analysis of Volterra Functional and Integral Equations
• K E Atkinson: The Numerical Solution of Boundary Integral Equations
• G A Watson: Aspects of Approximation with Emphasis on the Univariate Case
• M J D Powell: A Review of Methods for Multivariable Interpolation at Scattered Data Points
• J Nocedal: Large Scale Unconstrained Optimization
• D F Shanno and E M Simantiraki: Interior Point Methods for Linear and Nonlinear Programming
• A R Conn, N I M Gould and Ph L Toint: Methods for Nonlinear Constraints in Optimization Calculations
• F Brezzi, L P Franca, T J R Hughes and A Russo: Stabilization Techniques and Subgrid Scales Capturing
• C M Elliott: Approximation of Curvature Dependent Interface Motion
• E Süli and P Houston: Finite Element Methods for Hyperbolic Problems: a Posteriori Error Analysis and Adaptivity
• K W Morton: Approximation of Multidimensional Hyperbolic Partial Differential Equations
• F Natterer: Algorithms in Tomography
• F Guichard and J-M Morel: Partial Differential Equations and Image Iterative Filtering