Basic HTML version of Foils prepared 8 November 1995

Foil 7 What Conditions are sufficient for solution of PDE's -- Cauchy Boundary Conditions and Hyperbolic,Parabolic and Elliptic PDE's

From Fox Presentation Fall 1995 CPS615 Basic Simulation Track for Computational Science -- Fall Semester 95. by Geoffrey C. Fox
1 Cauchy conditions
2 y and ¶y/¶n are given
3 on a curve
4 Solution given by Taylor series for each point near curve if these are sufficient to determine higher derivatives
  • Consider general form of PDE:
5 Can be solved as linear system with deterministic equations for derivatives of boundary conditions if coefficients have certain characteristics -- Gives rise to three types:
  • b2>4ac hyperbolic equations -- Above strategy works
  • b2=4ac parabolic equations
  • b2<4ac elliptic equations
in Table To:

© Northeast Parallel Architectures Center, Syracuse University, npac@npac.syr.edu

If you have any comments about this server, send e-mail to webmaster@npac.syr.edu.

Page produced by wwwfoil on Tue Oct 13 1998