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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This document considers the numerical solution of the Schroedingers equation and investigate several different algorithms for implementing the Alternating Direction Method on hypercubes. The author 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. Presented are timings for the Intel iPSC that show that Alternating Direction Methods can be implemented efficiently on hypercubes. Keywords Time dependence Two dimensional Quantum mechanics.
- Numerical Mathematics
- Quantum Theory and Relativity