Paper Info
Title
Unconditional stability of parallel alternating difference schemes for semilinear parabolic systems
Abstract
The general alternating schemes with intrinsic parallelism for semilinear parabolic systems are studied. First we prove the a priori estimates in the discrete H1 space of the difference solution for these schemes. Then the existence of the difference solution for these schemes follows from the fixed point principle. Finally the unconditional stability of the general alternating schemes is proved. The alternating group explicit scheme, the alternating segment explicit–implicit scheme and the alternating segment Crank–Nicolson scheme are the special cases of the general alternating schemes.
Year
DOI
Venue
2001
10.1016/S0096-3003(99)00180-0
Applied Mathematics and Computation
Keywords
Field
DocType
Parabolic equation,Parallel difference scheme,Stability
Boundary value problem,Mathematical analysis,A priori and a posteriori,Initial value problem,Finite difference method,Fixed point,Partial differential equation,Mathematics,Parabola,Alternating group
Journal
Volume
Issue
ISSN
117
2-3
0096-3003
Citations 
PageRank 
References 
5
0.80
2
Authors
3
Name
Order
Citations
PageRank
Guangwei Yuan116523.06
Longjun Shen2295.57
Yulin Zhou381.19