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

Abstract

This document considers the numerical solution of the Schroedinger's 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.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1987
Accession Number
ADA179793

Entities

People

  • Ching-tien Ho
  • Faisal Saied
  • Martin H. Schultz
  • Stephen L. Johnson

Organizations

  • Yale University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • 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

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Graph Algorithms and Convex Optimization.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Quantum Computing