Title
Relationship between vanishing splitting errors and pairwise commutativity
Abstract
It has been shown that the commutativity of the two sub-operators in different operator splitting discretizations implies zero splitting error. This work investigates whether this commutativity condition is necessary for zero splitting error for some given operator splittings. The case of more than two sub-operators is also discussed, but there are still some open problems (see the end of this work).
Year
DOI
Venue
2008
10.1016/j.aml.2007.02.008
Applied Mathematics Letters
Keywords
Field
DocType
Operator splitting,Local splitting error,Commutativity conditions,Commutator,Time discretization
Operator splitting,Pairwise comparison,Commutative property,Mathematical analysis,Operator (computer programming),Commutator (electric),Mathematics
Journal
Volume
Issue
ISSN
21
1
0893-9659
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
István Faragó16221.50
Ágnes Havasi2399.98