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Ortega J.M., Voigt R.G. — Solution of Partial Differential Equations on Vector and Parallel Computers
Ortega J.M., Voigt R.G. — Solution of Partial Differential Equations on Vector and Parallel Computers



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Название: Solution of Partial Differential Equations on Vector and Parallel Computers

Авторы: Ortega J.M., Voigt R.G.

Аннотация:

This volume reviews, in the context of partial differential equations, algorithm development that has been specifically aimed at computers that exhibit some form of parallelism. Emphasis is on the solution of PDEs because these are typically the problems that generate high computational demands. The authors discuss architectural features of these computers insomuch as they influence algorithm performance, and provide insight into algorithm characteristics that allow effective use of hardware.
Both direct and indirect methods are given for elliptic equations as well as explicit and implicit methods for initial boundary-value problems. The intent is to point out attractive methods as well as areas where this class of computer architecture cannot be fully utilized because of either hardware restrictions or the lack of adequate algorithms.


Язык: en

Рубрика: Computer science/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1987

Количество страниц: 100

Добавлена в каталог: 01.11.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Scatter instruction      10
Semi-iterative methods      49
Separable problems, fast methods for      37
Shallow water equations, MPP and      63
Shuffle exchange switching network      19
SI methods      49
SIGMA-1 machine      19
SIMD systems      12
SIMPLE hydrodynamics code      18
Simultaneous relaxation method      47
Single Instruction Multiple Data systems      12
SLOR method      48
Software, for iterative methods      53
SOLOMON computer      12
SOLOMON computer, fluid dynamics and      58
SOQI method      45
SOR iteration      41
SOR iteration matrix, multicolor orderings and      44
SOR iteration, implementation of      44
SOR iteration, overrelaxed      45
Sparse matrices, methods for      29
Spectral methods      57
Speedup      6
Speedup in triangular systems      27
Speedup, definition of      5
Speedup, Ware model of      7
SSOR method      52
SSOR-SI method      49
Stability in triangular systems      26
Stability, Givens transformations and      36
Stability, numerical, in QIF elimination      25
Stability, Stone's algorithm and      36
Stability, tridiagonal methods and      35
Start-up time for Cray      11
Start-up time for Cyber 200      10
Start-up time for vector operations      3
Stencil, discretization      44
Stiff systems, hyperbolic equations for      56
Stone's algorithm, stability in      36
Storage, problem of      48
Structural analysis, vector computing and      62
Structural optimization problems      62
Substitutions, in factorization phase      21
Substructuring, methods for      31
Successive Line Over-Relaxation method      48
Successive Overrelaxed Interlocking method      45
Super-vector speeds, achievement of      11
Supercomputers, cost of      2
Switch arrays      14 17
Switch interconnection array      15
Symmetric SOR iteration method      52
synchronization, cost of      4
Synchronization, of iterations      44
Systolic arrays      14
Texas Reconfigurable Array Computer (TRAC)      17
Three-color ordering      60
Three-color ordering, iterative methods and      42
Three-dimensional transonic potential flow equations      46
Time marching methods      40-58
Timing formulas for elimination      20
Toeplitz matrices      24
Transonic flow, parallel computing and      60
Transonic potential flow equations      46
Tree structure array      15
Triangular systems, methods for      26
Tridiagonal systems for linear equations      19
Tridiagonal systems, methods for      32
Tridiagonal systems, parallelism for      20
Two-pipeline Cyber 205, performance for      10
Ultracomputer project      19
UNIVAC I      8
Unrolling DO loops      4
Variable coefficients, methods using      53
Vector computers, improving performance of      3
Vector operations      3
Vector registers      4
Vector registers in Cray computers      10
Vector speeds, for Cray      11
VLSI devices, design of, parallel computing and      62
von Neumann's Cellular Automata      12
Ware model      6 7
Ware's law      10
Wavefront algorithm for triangular systems      26
Weather prediction, parallel computing and      61
Whirlwind I      8
Zero-cost model      5
Zigzag annihilation pattern      24
ZMOB array      16
ZMOB array, bus array in      15
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