Finite Difference Methods for
Ordinary and Partial Differential Equations
Steady State and Time Dependent Problems
Randall J. LeVeque
Chapter 7
Absolute Stability for ODEs
m-files:
- plotS.m Plot the region of absolute stability S
(and also the order star if desired) for a one-step method.
- makeplotS.m Sets R(z) for a specific one-step
method and calls plotS. Contains R(z) for several methods.
- plotBL.m Plot the boundary locus of S for a LMM.
- makeplotBL.m Sets rho and sigma for a
specific LMM and calls plotBL. Contains rho and sigma for Adams methods.
Exercises: