document: On the contractivity of implicit-explicit linear multistep methods This paper is concerned with the class of implicit-explicit linear multistep methods for the numerical solution of initial value problems for ordinary differential equations which are composed of stiff and nonstiff parts . We study the contractivity of such methods , with regard to linear autonomous systems of ordinary differential equations and a -LRB- scaled -RRB- Euclidean norm . In addition , we derive a strong stability result based on the stability regions of these methods
doc_bio_tags: O O B O O O O O O O O O O O O O O O O O O O B I O B I I O B I I O O O O O O O O O O O O B O O O O O O O B I I O B I I O O O O O B I O O O O O O O O B I O O O O O O O O
extractive_keyphrases: contractivity numerical solution initial value problems ordinary differential equations linear autonomous systems euclidean norm stability result
abstractive_keyphrases: implicit-explicit linear multistep methods