Orthogonal Polynomials and Special Functions

by Askey, Richard

• ISBN13: 9780898710182
• ISBN10: 0898710189
• Format: Paperback
• Copyright: 1975-06-01
• Publisher: Society for Industrial & Applied

Summary

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.

Table of Contents

Preface

Massively Parallel Algorithms for Electronic Structure Calculations in Quantum Chemistry

Massively Parallel Lattice QCD Calculations

Parallel Weiner Integral Methods for Elliptic BVPs. A Tale of Two Architectures

A Parallel Genetic Algorithm Applied to the Mapping Problem

Supercomputers in Seismology: Determining 3-D Earth Structure

Advanced Architectures: Current and Future

Large-Scale Molecular Dynamics on MPPs: Part I

Large-Scale Molecular Dynamics on MPPs: Part II

Symbolic and Parallel Computation in Celestial Mechanics

Parallel Methods for Systems of Ordinary Differential Equations

Parallelizing Computational Geometry: First Steps

Parallel Inverse Iteration for Eigenvalue and Singular Value Decompositions

Parallel Branch-and-Bound Methods for Mixed Integer Programming

Optimal Scheduling Results for Parallel Computing

Airline Crew Scheduling: Supercomputers and Algorithms

Parallel Molecular Dynamics on a Torus Network

A Review of Numerous Parallel Multigrid Methods

Shared-Memory Emulation Enables Billion-Atom Molecular Dynamics Simulation

Probing the Playability of Violins by Supercomputer

Ray Tracing with Network

A SIMD Algorithm for Intersecting three-Dimensional Polyhedra

Numerical Simulation of Laminar Diffusion

Applications of Algebraic Topology to Concurrent Computation

Parallel Computation of Economic

Solving Nonlinear Integer Programs with a Subgradient Approach on Parallel Computers

Parallelizing FDTD Methods for Solving Electromagnetic Scattering Problems

Using a Workstation Cluster for Physical Mapping of Chromosomes

Massively Parallel Computations in Finance

Robust Optimization on PC Supercomputers

History Matching of Multiphase Reservoir Models on Hypercubes

Appendix. A Retrospective on the G++Applications on Advanced Architecture ComputersG++ SIAM News Column

Index

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