Orthogonal Polynomials and Special Functions
Originally presented as lectures, the theme of this volume is that one studies orthogonal polynomials and special functions not for their own sake, but to be able to use them to solve problems. The author presents problems suggested by the isometric embedding of projective spaces in other projective spaces, by the desire to construct large classes of univalent functions, by applications to quadrature problems, and theorems on the location of zeros of trigonometric polynomials. There are also applications to combinatorial problems, statistics, and physical problems.
Product details
June 1975Paperback
9780898710182
118 pages
255 × 178 × 100 mm
0.3kg
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Table of Contents
- Preface
- 1. Massively Parallel Algorithms for Electronic Structure Calculations in Quantum Chemistry Andrew L. Sargent, Jan Almlöf and Martin W. Feyereisen
- 2. Massively Parallel Lattice QCD Calculations Clive F. Baillie
- 3. Parallel Weiner Integral Methods for Elliptic BVPs. A Tale of Two Architectures Michael Mascagni
- 4. A Parallel Genetic Algorithm Applied to the Mapping Problem El-Ghazali Talbi and Pierre Bessiere
- 5. Supercomputers in Seismology: Determining 3-D Earth Structure Robert J. Geller
- 6. Advanced Architectures: Current and Future Greg Astfalk
- 7. Large-Scale Molecular Dynamics on MPPs: Part I David M. Beazley and Peter S. Lomdahl
- 8. Large-Scale Molecular Dynamics on MPPs: Part II David M. Beazley and Peter S. Lomdahl
- 9. Symbolic and Parallel Computation in Celestial Mechanics Liam M. Healy
- 10. Parallel Methods for Systems of Ordinary Differential Equations Kevin Burrage
- 11. Parallelizing Computational Geometry: First Steps Isabel Beichl and Francis Sullivan
- 12. Parallel Inverse Iteration for Eigenvalue and Singular Value Decompositions Richard J. Hanson and Glenn R. Luecke
- 13. Parallel Branch-and-Bound Methods for Mixed Integer Programming Jonathan Eckstein
- 14. Optimal Scheduling Results for Parallel Computing Håkan Lennerstad and Lars Lundberg
- 15. Airline Crew Scheduling: Supercomputers and Algorithms Jeremey Schneider and Theresa Hull Wise
- 16. Parallel Molecular Dynamics on a Torus Network Klaas Esselink and Peter A.J. Hilbers
- 17. A Review of Numerous Parallel Multigrid Methods Craig C. Douglas
- 18. Shared-Memory Emulation Enables Billion-Atom Molecular Dynamics Simulation Eduardo F. D'Azevedo Charles H. Romine and David W. Walker
- 19. Probing the Playability of Violins by Supercomputer Robert T. Schumacher and Jim Woodhouse
- 20. Ray Tracing with Network Linda Rob Bjornson, Craig Kolb and Andrew H. Sherman
- 21. A SIMD Algorithm for Intersecting three-Dimensional Polyhedra David Strip and Michael Karasick
- 22. Numerical Simulation of Laminar Diffusion Flames Craig C. Douglas, Alexandre Ern and Mitchell D. Smooke
- 23. Applications of Algebraic Topology to Concurrent Computation Maurice Herlihy and Nir Shavit
- 24. Parallel Computation of Economic Equilibria Anna Nagurney
- 25. Solving Nonlinear Integer Programs with a Subgradient Approach on Parallel Computers Robert Bixby, John Dennis and Zhijun Wu
- 26. Parallelizing FDTD Methods for Solving Electromagnetic Scattering Problems Sandy Nguyen, Brian Zook and Xiaodong Zhang
- 27. Using a Workstation Cluster for Physical Mapping of Chromosomes Steven W. White and David C. Torney
- 28. Massively Parallel Computations in Finance Stavros A. Zenios
- 29. Robust Optimization on PC Supercomputers John M. Mulvey
- 30. History Matching of Multiphase Reservoir Models on Hypercubes Jianping Zhu
- Appendix. A Retrospective on the 'Applications on Advanced Architecture Computers' SIAM News Column Greg Astfalk
- Index.