A modified iterated operator splitting method

Applied Mathematical Modelling

Volumn 32, Issue 8, 2008, Pages 1542-1551

  Faragó, István ^a  

^a EÖTVÖS LORÁND UNIVERSITY   (Hungary)

Author keywords

Initial guess; Local splitting error; Numerical methods; Operator splitting; Time discretization

Indexed keywords

ERRORS; FINITE DIFFERENCE METHOD; MATHEMATICAL MODELS;

LOCAL SPLITTING ERROR; OPERATOR SPLITTING METHOD; TIME DISCRETIZATION;

ITERATIVE METHODS;

ERRORS; FINITE DIFFERENCE METHOD; ITERATIVE METHODS; MATHEMATICAL MODELS;

EID: 41949130007     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2007.04.018     Document Type: Article

References (15)

1. Zlatev Z. Computer Treatment of Large Air Pollution Models (1995), Kluwer Academic Publishers., Dordrecht-Boston-London
2. Horváth R. Operator splittings for the numerical solution of the Maxwell's equation. Lect. Notes Comput. Sci. 3743 (2006) 363-371
3. Hairer E., Lubich C., and Wanner G. Geometric Numerical Integration (2002), Springer, Berlin
4. Leimkuhler B., and Reich S. Simulating Hamiltonian Dynamics (2004), Cambrigde University Press, Cambrigde
5. McLachlan R.I. Symplectic integration of Hamiltonian wave equation. Numer. Math. 66 (1994) 465-492
6. Csomós P., Faragó I., and Havasi A. Weighted sequential splittings and their analysis. Comput. Math. Appl. 50 (2005) 1017-1031
7. Hundsdorfer W., and Verwer J.G. Numerical Solution of Time-dependent Advection-diffusion-reaction Equations (2003), Springer Verlag, Berlin
8. F Trotter H. On the product of the semigroups of operators. Proc. A. Math. Soc. 10 (1959) 545-551
9. Bagrinovskii K.A., and Godunov S.K. Difference schemes for multidimensional problems. Dokl. Akad. Nauk SSSR 115 (1957) 431-433
10. Marchuk G. Some applications of splitting-up methods to the solution of problems in mathematical physics. Aplikace Matematiky 13 (1968) 103-132
11. Strang G. On the construction and comparison of difference schemes. SIAM J. Numer. Anal. 5 (1968) 506-517
12. Strang G. Accurate partial difference methods I: Linear Cauchy problems. Arch. Rational Mech. Anal. 12 (1963) 392-402
13. Faragó I., Thomsen P.G., and Zlatev Z. On the additive splitting procedures and their computer realization. Appl. Math. Modell. 32 (2008) 1552-1569
14. Kanney J.F., Miller C.T., and T Kelley C. Convergence of iterative split operator approaches for approximating nonlinear reactive transport problems. Adv. Water Resources 26 (2003) 247-261
15. I. Faragó, J. Geiser, Iterative operator splitting methods for linear problems, Int. J. Comput. Sci. Eng., in press.