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Parallel computations /
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, N.Y. :
Academic Press,
1982.
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| Colección: | Computational techniques ;
v. 1. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Parallel Computations; Copyright Page; Table of Contents; List of Contributors; Preface; Chapter 1. A Guide to Parallel Computation and Some Cray-1 Experiences; I. INTRODUCTION; II. HARDWARE; III. THEORETICAL CONSIDERATIONS; IV. APPLICATIONS; APPENDIX A. A REGISTER ASSIGNMENT FOR SPARSE-BANDED MATRIX MULTIPLY; APPENDIX B. FACTOR AND FORWARD SUBSTITUTION; APPENDIX C. BACKWARD SUBSTITUTION; APPENDIX D. FACTORIZATION ONLY; ACKNOWLEDGMENTS; REFERENCES; Chapter 2. Vectorizing the FFTs; I. INTRODUCTION; II. PRELIMINARIES; III. THE COMPLEX FFT ALGORITHMS
- IV. VECTORIZING MULTIPLE TRANSFORMSV. TRANSFORMING REAL SEQUENCES; VI. THE SYMMETRIC TRANSFORMS; VII. SOFTWARE AND SUMMARY; REFERENCES; Chapter 3. Solution of Single Tridiagonal Linear Systems and Vectorization of the ICCG Algorithm on the Cray-1; I. A VECTOR ALGORITHM FOR TRIDIAGONAL LINEAR SYSTEMS; II. AN INCOMPLETE CHOLESKY CONJUGATE GRADIENT (ICCG) ALGORITHM FOR THE CRAY-1 COMPUTER; III. CYCLIC REDUCTION ON FUTURE MACHINES; ACKNOWLEDGMENTS; REFERENCES; Chapter 4. An Implicit Numerical Solution of the Two-Dimensional Diffusion Equation and Vectorization Experiments; I. INTRODUCTION
- II. SPATIAL DIFFERENCINGIII. MATRIX FORMULATION; IV. PROPERTIES OF THE MATRIX A; V. METHOD OF LINES; VI. THE GENERALIZED CONJUGATE GRADIENT ALGORITHM; VII. COMPUTATIONAL EXAMPLE; VIII. COMMENTS AND CONCLUSIONS; REFERENCES; Chapter 5. Swimming Upstream: Calculating Table Lookups and Piecewise Functions; I. INTRODUCTION TO TABLE LOOKUP; II. EVALUATING ALGORITHMS ON VECTOR PROCESSORS; III. BASIC PROCESSES ON VECTOR PROCESSORS; IV. ONE-DIMENSIONAL PROBLEMS; V. TWO-DIMENSIONAL PROBLEMS: EQUATIONS OF STATE; REFERENCES
- Chapter 6. Trade-Offs in Designing Explicit Hydrodynamical Schemes for Vector ComputersI. INTRODUCTION; II. WHY VECTORIZATION OF EXPLICIT HYDRODYNAMICAL SCHEMES SHOULD BE EASY; III. WHY VECTORIZATION OF EXPLICIT HYDRODYNAMICAL SCHEMES CAN BE DIFFICULT; IV. ALTERNATIVE APPROACHES AND THEIR COSTS ON VECTOR COMPUTERS; V. THE EXAMPLE OF THE INTERACTION OF TWO BLAST WAVES; VI. CONCLUSIONS; REFERENCES; Chapter 7. Vectorized Computation of Reactive Flow; I. INTRODUCTION AND STATEMENT OF THE PROBLEM; II. VECTORIZATION AND OPTIMIZATION; III. TECHNIQUES FOR MODELING FAST TIME SCALES
- IV. TECHNIQUES FOR MODELING SHORT SPACE SCALESV. TECHNIQUES FOR DEALING WITH PHYSICAL AND GEOMETRIC COMPLEXITY; VI. PROGRAMMING GUIDELINES AND SUMMARY OF PARALLELISM PRINCIPLES; ACKNOWLEDGMENTS; REFERENCES; Chapter 8. A Fully Implicit, Factored Code for Computing Three-Dimensional Flows on the ILLIAC IV; I. INTRODUCTION; II. BASIC EQUATIONS; III. ILLIAC ARCHITECTURE; IV. DATA-BASE CONSIDERATIONS; V. THE ILLIAC CODE ARC3; VI. RESULTS; VII. CONCLUDING REMARKS; REFERENCES