Embedded Pairs of Fractional Runge-Kutta Methods and Improved Domain Decomposition Techniques for Parabolic Problems

Lecture Notes in Computational Science and Engineering

Volumn 55, Issue , 2007, Pages 731-738

  Portero, Laura ^a   Carlos Jorge, Juan ^a  

^a PUBLIC UNIVERSITY OF NAVARRE   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

DOMAIN DECOMPOSITION TECHNIQUES; ELLIPTIC OPERATOR; FRACTIONAL STEP; ITERATIVE PROCESS; PARABOLIC PROBLEMS; SPATIAL DISCRETIZATIONS; SPATIAL DOMAINS; TIME INTEGRATORS;

DOMAIN DECOMPOSITION METHODS; RUNGE KUTTA METHODS;

ITERATIVE METHODS;

EID: 84864628982     PISSN: 14397358     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Article

References (5)

1. B. Bujanda and J. C. Jorge, Stability results for fractional step discretizations of time dependent coefficient evolutionary problem, Appl. Numer. Math., 38 (2001), pp. 69-86.
2. B. Bujanda and J. C. Jorge, Fractional step Runge-Kutta methods for time dependent coefficient parabolic problems, Appl. Numer. Math., 45 (2003), pp. 99-122.
3. T. P. Mathew, P. L. Polyakov, G. Russo, and J. Wang, Domain decomposition operator splittings for the solution of parabolic equations, SIAM J. Sci. Comput., 19 (1998), pp. 912-932.
4. L. Portero, B. Bujanda, and J. C. Jorge, A combined fractional step domain decomposition method for the numerical integration of parabolic problems, in Parallel Processing and Applied Mathematics: 5th International Conference, PPAM 2003, R. Wyrzykowski, J. Dongarra, M. Paprzycki, and J. Wasniewski, eds., vol. 3019 of Lecture Notes in Computuer Science, 2004, pp. 1034-1041.
5. A. Quarteroni and A. Valli, Domain Decomposition Methods for Partial Differential Equations, Oxford University Press, 1999.