Solving Schroedinger's Equation on the Intel iPSC by the Alternating Direction Method.
YALE UNIV NEW HAVEN CT DEPT OF COMPUTER SCIENCE
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Ths document considers the numerical solution of the time dependent, two dimensional Schrodingers equation and investigate several different algorithms for implementing the Alternating Direction Method on hypercubes. The authors indicate the relative merits of the algorithms depending on cube parameters such as arithmetic speed, communication latency, transfer rate, the packet size, and the cost of reordering data locally. Timings for the Intel iPSC show that Alternating Direction Methods can be implemented efficiently on hypercubes. Author Keywords quantum mechanics.
- Quantum Theory and Relativity