albanD:

I’m sure you can find some material on google from people studying these subjects for differential equation solvers.


Thank you for the pointers!



 KFrank:

I would prefer to use the terms “more
accurate” and “less accurate.”*


Thank you! I think I’m actually looking at both, accuracy and also as an iterative algorithm that amplifies errors, as you mentioned here:



 KFrank:

Unstable algorithms have iterations that amplifies errors, while stable algorithms have iterations that reduce errors.


Is there a reference about performing many consecutive matrix multiplications amplifying errors?
BTW, I’m checking out Trefethen’s book “Numerical Linear Algebra”, Lecture 14 “Stability”.