A Class of Mixed Type Methods for Solving Stiff ODEs and Their Parallel Implementation

This paper presents a class of methods with high order, good stability, and complete parallelism.This paper first puts the conception of free parameter with which we can choose some parameters in these methods to make these methods more useable. For several cases, we give concrete formulas and obtain numerical results for several methods. Numerical experiments show that these methods are efficient in solving stiff ODEs with high dimension.