Basic HTML version of Foils prepared 20 October 1997

Foil 23 Definition of Multi-step methods

From Fox Presentation Fall 1995 CPS615 Basic Simulation Track for Computational Science -- Fall Semester 97. by Geoffrey C. Fox
1 The predictor/corrector methods use previous values Xi-1, Xi-2, ...... to increase accuracy p - not extra values between Xi and Xi+1 as in Runge Kutta
2 General form of multi-step difference equation:
3 Xi+1 = am-1Xi + am-2 Xi-1 + ..... + a0Xi+1-m + h(bmf(ti+1, Xi+1) + bm-1 f (ti, Xi) + .....
  • + b0f(ti+1-m, Xi+1-m)))
4 if coefficient of f evaluation independent on ti+1 bm=0, this is an explicit equation
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 Fri Oct 2 1998