The Foundations of Computational Mathematics meetings serve as a platform for cross-fertilization between numerical analysis, mathematics and computer science. This volume contains the invited presentations given by some of the leading authorities in the world. Topics surveyed range from partial differential equations to image processing, biology, complexity, number theory and algebraic geometry.
Preface; 1. Some fundamental issues R. DeVore; 2. Jacobi sets H. Edelsbrunner and J. Harer; 3. Approximation of boundary element operators S. Börm and W. Hackbusch; 4. Quantum complexity S. Heinrich; 5. Straight-line programs T. Krick; 6. Numerical solution of structured problems T. Apel, V. Mehrmann and D. Watkins; 7. Detecting infeasibility M. J. Todd; 8. Maple packages and Java applets I. M. Anderson.