P.R. Graves-Morris

Peter Graves-Morris has retired as Emeritus Professor of Numerical Analysis at Bradford University. If you would like to contact me, please email me at p.r.graves-morris@bradford.ac.uk

Recent publications and Matlab programs.

BiCGStab, VPAStab and an adaptation for mildly nonlinear systems.

The final version was published in J. Comput Appld Maths 201, 284-299, (2007).
The associated programs for solving the 2D Bratu equation numerically are

Corresponding code for application to the 2D Bratu equation.
m-file function for NonLinIterSolve (NLIS).
m-file function for the preconditioned residual of 2D Bratu.

VPAStab(J,L): An iterative method with look-ahead for the solution of large sparse linear systems.

The final version was published in J. Comput Appld Maths 230, 674-689, (2009).
The associated programs for solving Example 1 of Sleijpen & Van der Vorst, ETNA & Num Algs, 1995, for a case in which a bad pivot is encountered is

SleijVdVEx1.m which calls
VPAStabJL.m which in turn calls
ProgL.m for the standard L-step progression, and
JumpStep.m for the jump when it is required.