I. S. Duff / G. A. Watson (eds.)

The State of the Art in Numerical Analysis ( I.M.A.C.S.New Series No. 63 )

Herausgeber: Duff, I S; Watson, G A

• Gebundenes Buch

Produktbeschreibung

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.

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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.

Produktdetails

• Verlag: Oxford University Press, USA
• Seitenzahl: 576
• Erscheinungstermin: 2. Juli 1998
• Englisch
• Abmessung: 234mm x 156mm x 32mm
• Gewicht: 984g
• ISBN-13: 9780198500148
• ISBN-10: 0198500149
• Artikelnr.: 21998627

Inhaltsangabe

* Recent Developments in Dense Numerical Linear Algebra
* Sparse Numerical Linear Algebra: Direct Methods and Preconditioning
* Closer to the Solution: Iterative Linear Solvers
* 150 Years Old and Still Alive: Eigenproblems
* Geometric Integration
* Convergence and Stability in the Numerical Approximation of Dynamical
Systems
* Beyond the Classical Theory of Computational Ordinary Differential
Equations
* Numerical Analysis of Volterra Functional and Integral Equations
* The Numerical Solution of Boundary Integral Equations
* Aspects of Approximation with Emphasis on the Univariate Case
* A Review of Methods for Multivariable Interpolation at Scattered Data
Points
* Large Scale Unconstrained Optimization
* Interior Point Methods for Linear and Nonlinear Programming
* Methods for Nonlinear Constraints in Optimization Calculations
* Stabilization Techniques and Subgrid Scales Capturing
* Approximation of Curvature Dependent Interface Motion
* Finite Element Methods for Hyperbolic Problems: a Posteriori Error
Analysis and Adaptivity
* Approximation of Multidimensional Hyperbolic Partial Differential
Equations
* Algorithms in Tomography
* Partial Differential Equations and Image Iterative Filtering