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.

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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