Research Catalog

Asymptotic analysis of numerical wave propagation in finite difference equations

Title
Asymptotic analysis of numerical wave propagation in finite difference equations / by Michael Giles, W.T. Thompkins, Jr.
Author
Giles, M. (Michael)
Publication
Cambridge, Massachusetts : Gas Turbine & Plasma Dynamics Laboratory, Massachusetts Institute of Technology, 1983.

Details

Additional Authors
  • Thompkins, William T.
  • Massachusetts Institute of Technology. Gas Turbine and Plasma Dynamics Laboratory, issuing body.
  • Lewis Research Center, sponsoring body.
Description
2 microfiches (141 pages) : negative, illustrations; 11 x 15 cm.
Summary
"An asymptotic technique is developed for analyzing the propagation and dissipation of wave-like solutions to finite difference equations. It is shown that for each fixed complex frequency there are usually several wave solutions with different wavenumbers and the slowly varying amplitude of each satisfies an asymptotic amplitude equation which includes the effects of smoothly varying coefficients in the finite difference equations. The local group velocity appears in this equation as the velocity of convection of the amplitude. Asymptotic boundary conditions coupling the amplitudes of the different wave solutions are also derived. A wavepacket theory is developed which predicts the motion, and interaction at boundaries, of wavepackets, wave-like disturbances of finite length. Comparison with numerical experiments demonstrates the success and limitations of the theory. Finally an asymptotic global stability analysis is developed."--NTIS abstract.
Series Statement
  • GT & PDL report ; no. 171
  • NASA-CR ; 175323
Uniform Title
  • GT & PDL report ; no. 171.
  • NASA contractor report ; 175323.
Subject
  • Wave-motion, Theory of
  • Finite differences
  • Wave equation > Numerical solutions
  • Differential equations > Asymptotic theory
  • Asymptotic methods
  • Backward differencing
  • Finite difference theory
  • Partial differential equations
  • Wave packets
  • Wave propagation
Note
  • "March 1983."
Bibliography (note)
  • Includes bibliographical references (pages 134).
Funding (note)
  • Supported by the NASA Lewis Research Center
Call Number
GPO Microfiche NAS 1.26:175323
OCLC
marcive17790131
Author
Giles, M. (Michael), author.
Title
Asymptotic analysis of numerical wave propagation in finite difference equations / by Michael Giles, W.T. Thompkins, Jr.
Publisher
Cambridge, Massachusetts : Gas Turbine & Plasma Dynamics Laboratory, Massachusetts Institute of Technology, 1983.
Type of Content
text
Type of Medium
microform
Type of Carrier
microfiche
Series
GT & PDL report ; no. 171
NASA-CR ; 175323
GT & PDL report ; no. 171.
NASA contractor report ; 175323.
Bibliography
Includes bibliographical references (pages 134).
Funding
Supported by the NASA Lewis Research Center NAG3-9
Added Author
Thompkins, William T., author.
Massachusetts Institute of Technology. Gas Turbine and Plasma Dynamics Laboratory, issuing body.
Lewis Research Center, sponsoring body.
Other Form:
Print version: Giles, M. (Michael). Asymptotic analysis of numerical wave propagation in finite difference equations (OCoLC)68928824
Online version: Giles, M. (Michael). Asymptotic analysis of numerical wave propagation in finite difference equations (OCoLC)882303473
Gpo Item No.
0830-H-14 (MF)
Sudoc No.
NAS 1.26:175323
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