Large Scale Scientific Computation - 1st Edition - ISBN: 9780125460804, 9781483277837

Large Scale Scientific Computation

1st Edition

Proceedings of a Conference Conducted by the Mathematics Research Center, the University of Wisconsin - Madison, May 17-19, 1983

Editors: Seymour V. Parter
eBook ISBN: 9781483277837
Imprint: Academic Press
Published Date: 28th August 1984
Page Count: 336
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Description

Large Scale Scientific Computation is a collection of papers that deals with specialized architectural considerations, efficient use of existing computers, software developments, large scale projects in diverse disciplines, and mathematical approaches to basic algorithmic problems. One paper describes numerical treatment of large highly nonlinear two or three dimensional boundary value problems by quadratic minimization techniques applied in many institutions such as in Laboratoire Central des Ponts et Chaussees, Avions Marcel Dassault et Breguet Aviation. Another paper discusses computer-structured design techniques to improve the reliability, efficiency, and accuracy of future production codes. Computer modelling is a potent tool in numerical weather prediction relying on observation, analysis, initialization, and model development. One paper illustrates a systolic algorithm for matrix triangulation, as well as its uses in the Cholesky decomposition of covariance matrices. Another paper describes the Transient Reactor Analysis Code (TRAC) designed to deal with internal flow problems of nuclear reactors. One paper explains the application of large-scale aerodynamic simulation where the programmer can use finite difference techniques in which a large number of mesh points are strategically and orderly placed in the domain of the flow field. The collection is intended for undergraduates in mathematics, programming, computer science, or engineering courses, and designers or researchers involved in industrial facilities, aeronautics, and nuclear design.

Table of Contents


Senior Contributors

Preface

Multigrid Semi-Implicit Hydrodynamics Revisited

Numerical Solution of Large Nonlinear Boundary Value Problems by Quadratic Minimization Techniques

Future Directions in Large Scale Scientific Computing

Recent Mathematical and Computational Developments in Numerical Weather Prediction

Systolic Algorithms

An Approach to Fluid Mechanics Calculations on Serial and Parallel Computer Architectures

Acceleration of Convergence of Navier-Stokes Calculations

Error Analysis and Difference Equations on Curvilinear Coordinate Systems

Numerical Aerodynamic Simulation (NAS)

Algebraic Mesh Generation for Large Scale Viscous-Compressible Aerodynamic Simulation

Software for the Spectral Analysis of Scalar and Vector Functions on the Sphere

Design, Development, and Use of the Finite Element Machine

Index

Details

No. of pages:
336
Language:
English
Copyright:
© Academic Press 1984
Published:
Imprint:
Academic Press
eBook ISBN:
9781483277837

About the Editor

Seymour V. Parter