Solving Schroedinger's Equation on the Intel iPSC by the Alternating Direction Method.

Abstract

Ths document considers the numerical solution of the time dependent, two dimensional Schrodinger's 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.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1987
Accession Number
ADA179546

Entities

People

  • Ching-tien Ho
  • Faisal Saied
  • Martin H. Schultz
  • S. L. Johnsson

Organizations

  • Yale University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Arithmetic
  • Aspect Ratio
  • Computer Science
  • Computers
  • Decomposition
  • Differential Equations
  • Efficiency
  • Elimination
  • Equations
  • Floating Point Operations
  • Linear Arrays
  • Linear Systems
  • Operating Systems
  • Partial Differential Equations
  • Quantum Mechanics
  • Two Dimensional

Readers

  • Calculus or Mathematical Analysis
  • Image Processing and Computer Vision.
  • Operations Research

Technology Areas

  • Quantum Computing