A note on stability of the Douglas splitting method

Mathematics of Computation

Volumn 67, Issue 221, 1998, Pages 183-190

  Hundsdorfer, Willem ^a  

^a CWI   (Netherlands)

Author keywords

Initial boundary value problems; Numerical analysis; Splitting methods

Indexed keywords

EID: 0032351047     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-98-00914-4     Document Type: Article

References (6)

1. J. Douglas, Alternating direction method for three space variables. Numer. Math. 4, pp. 41-63 (1962). MR 24:B2122
2. J. Douglas, J.E. Gunn, A general formulation of alternating direction methods. Numer. Math. 6, pp. 428-453 (1964). MR 31:894
3. W. Hundsdorfer, Trapezoidal and midpoint splittings for initial-boundary value problems. CWI Report, 1996.
4. G.I. Marchuk, Splitting and alternating direction methods. Handbook of Numerical Analysis 1 (P.G. Ciarlet, J.L. Lions, eds.), North-Holland, Amsterdam, pp. 197-462, 1990. CMP 90:08
5. A.R. Mitchell, D.F. Griffiths, The Finite Difference Method in Partial Differential Equations. John Wiley & Sons, Chichester, 1980. MR 82a:65002
6. R.F. Warming, R.M. Beam, An extension of A-stability to alternating direction methods. BIT 19, pp. 395-417 (1979). MR 80h:65072