Large Scale Scientific Computation

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

Seymour V. Parter

• Publisher: Academic Press
• Year: 2014
• Print ISBN:
  9780125460804
• eBook ISBN:
  9781483277837
• Topic: Technology & Engineering
• Subtopic: Mathematics General
• Index: Technology & Engineering

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

• Front Cover
• Large Scale Scientific Computation
• Copyright Page
• Table of Contents
• Senior Contribtors
• PREFACE
• CHAPTER 1. AMULTIGRID SEMI-IMPLICIT HYDRODYNAMICS REVISITED
• CHAPTER 2. NUMERICAL SOLUTION OF LARGE NONLINEAR BOUNDARY VALUE PROBLEMS BY QUADRATIC MINIMIZATION TECHNIQUES
• CHAPTER 3.FUTURE DIRECTIONS IN LARGE SCALE SCIENTIFIC COMPUTING
• APPENDIX A: QUALITY ASSURANCE STANDARDS
• APPENDIX Β: HIGH-LEVEL MATHEMATICS LIBRARY
• CHAPTER 4. RECENT MATHEMATICAL AND COMPUTATIONAL DEVELOPMENTS IN NUMERICAL WEATHER PREDICTION
• CHAPTER 5. SYSTOLIC ALGORITHMS
• CHAPTER 6. AN APPROACH TO FLUID MEHANICS CALCULATIONS ON SERIAL AND PARALLEL COMPUTER ARCHITECTURES
• CHAPTER 7. ACCELERATION OF CONVERGENCE OF NAVIER–STOKES CALCULATIONS
• CHAPTER 8. ERROR ANALYSIS AND DIFFERENCE EQUATIONS ON CURVILINEAR COORDINATE SYSTEMS
• CHAPTER 9. NUMERICAL AERODYNAMICS IMULATION (NAS))
• CHAPTER 10. ALGEBRAIC MESH GENERATION FOR LARGE SCALE VISCOUS-COMPRESSIBLE AERODYNAMIC SIMULATION
• CHAPTER 11. SOFTWARE FOR THE SPECTRAL ANALYSIS OF SCALAR AND VECTOR FUNCTIONS ON THE SPHERE
• CHAPTER 12. LOPMENT, AND USE OF THE FINITE ELEMENT MACHINE
• REFERENCES
• INDEX