A Comparison of Ultracomputer Architecture And Lattice Architecture for Problems
A Comparison of Ultracomputer Architecture And Lattice Architecture for Problems
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To quickly assess the difficulty of the text, read a short excerpt:
) Thus an ultracom- puter can simulate a lattice machine at the expense of only a log N factor in speed.
It should be noticed at this point that the same ultra- computer can be used for two-dimensional or three-dimen- sional problems without rewiring. The only requirement is that log„N be a multiple of 2 as well as 3 . Then, for a two-dimensional problem we can set I = ± + n'j where n' = 2^^' and N = (n')^ = 2^''' .
The real strength of the ultracomputer in numerical analy- sis shows up, howeve...r, when the physical problem has an equilibriumaspect so that a system of simultaneous equa- tions (linear or nonlinear) has to be solved either once (in a static problem) or at each time step (in a time- . Dependent problem. ) Such problems arise in the theory of elasticity, in incompressible fluid dynamics, in quantum chemistry, and in numerical weather prediction. More generally, simultaneous systems of equations arise in -3- every static problem and whenever an implicit numerical method is used on a time-dependent problem.
What to read after A Comparison of Ultracomputer Architecture And Lattice Architecture for Problems?
You can find similar books in the "Read Also" column, or choose other free books by Charles S Peskin to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
) Thus an ultracom- puter can simulate a lattice machine at the expense of only a log N factor in speed.
It should be noticed at this point that the same ultra- computer can be used for two-dimensional or three-dimen- sional problems without rewiring. The only requirement is that log„N be a multiple of 2 as well as 3 . Then, for a two-dimensional problem we can set I = ± + n'j where n' = 2^^' and N = (n')^ = 2^''' .
The real strength of the ultracomputer in numerical analy- sis shows up, howeve...r, when the physical problem has an equilibriumaspect so that a system of simultaneous equa- tions (linear or nonlinear) has to be solved either once (in a static problem) or at each time step (in a time- . Dependent problem. ) Such problems arise in the theory of elasticity, in incompressible fluid dynamics, in quantum chemistry, and in numerical weather prediction. More generally, simultaneous systems of equations arise in -3- every static problem and whenever an implicit numerical method is used on a time-dependent problem.
What to read after A Comparison of Ultracomputer Architecture And Lattice Architecture for Problems?
You can find similar books in the "Read Also" column, or choose other free books by Charles S Peskin to read onlineMoreLess
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