Stability condition for difference schemes for parabolic systems
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 548-555 |
| Journal / Publication | SIAM Journal on Numerical Analysis |
| Volume | 38 |
| Issue number | 2 |
| Online published | 19 Jul 2000 |
| Publication status | Published - 2000 |
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Abstract
Recently, Goldberg studied in [M. Goldberg, SIAM J. Numer. Anal., 35 (1998), pp. 478-493, M. Goldberg, SIAM J. Numer. Anal., 35 (1998), pp. 1995-2003] stability conditions of a well-known family of difference schemes for the following multidimensional parabolic system of second order:
∂u(x, t)/∂t = ∑1≤p≤q≤s Apq ∂2u(x, t)/∂xp∂xq + ∑1≤p≤s Bp ∂u(x, t)/∂xp + Cu(x, t).
Here we present a modified stability condition for the above problem, and prove that this condition is optimal in some sense.
∂u(x, t)/∂t = ∑1≤p≤q≤s Apq ∂2u(x, t)/∂xp∂xq + ∑1≤p≤s Bp ∂u(x, t)/∂xp + Cu(x, t).
Here we present a modified stability condition for the above problem, and prove that this condition is optimal in some sense.
Research Area(s)
- Difference schemes, Parabolic systems, Stability
Citation Format(s)
Stability condition for difference schemes for parabolic systems. / SUN, Weiwei; Yuan, Guangwei.
In: SIAM Journal on Numerical Analysis, Vol. 38, No. 2, 2000, p. 548-555.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
