The state of the art in numerical analysis
著者
書誌事項
The state of the art in numerical analysis
（The Institute of Mathematics and its Applications conference series, new ser.,
Clarendon Press , Oxford University Press, 1997
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注記
"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"
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
- 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
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