Title
A finite difference scheme on a non commutative group
Abstract
Summary.   We propose and analyze a finite difference scheme for the Kohn Laplacian operator associated with the Heisenberg group, which is a degenerate elliptic operator of H�rmander type. We give a complete analysis for a periodic problem in a cube. In particular, we prove a discrete Poincar�-Wiertinger inequality which yields the stability. Numerical tests are presented.
Year
DOI
Venue
2001
10.1007/PL00005472
Numerische Mathematik
Keywords
Field
DocType
heisenberg group
Abelian group,Boundary value problem,Heisenberg group,Eigenfunction,Mathematical analysis,Elliptic operator,Invariant (mathematics),Periodic graph (geometry),Mathematics,Laplace operator
Journal
Volume
Issue
ISSN
89
3
0029-599X
Citations 
PageRank 
References 
1
0.40
0
Authors
2
Name
Order
Citations
PageRank
Yves Achdou119732.74
Nicoletta Tchou294.16