Runge Kutta Chebyshev Method for parabolic ... - Brown University

Introduction Properties Pros and Cons Examples References
Pros and Cons
Pros:
Explicit and designed for modestly stiff problems
Quadratic increase of β(s) with the number of stages
Requires at most seven vectors of storage
no particular difficulties for vectorization and/or
parallelization
Cons: Restrictions on the problem
The eigenvalues of the Jacobian matrix should lie in a
narrow strip along the negative axis of the complex plane
Jacobian matrix should not deviate too much from a
normal matrix.