Operator splitting and commutativity analysis in the Danish Eulerian Model

Mathematics and Computers in Simulation

Volumn 67, Issue 3, 2004, Pages 217-233

  Dimov, I ^a   Farago I ^b   Havasi, A ^b   Zlatev, Z ^c  

^a BULGARIAN ACADEMY OF SCIENCES   (Bulgaria)

^b EÖTVÖS LORÁND UNIVERSITY   (Hungary)

^c NATIONAL ENVIRONMENTAL RESEARCH INSTITUTE   (Denmark)

Author keywords

Commutativity analysis; Danish Eulerian Model; Operator splitting

Indexed keywords

AIR POLLUTION; BOUNDARY CONDITIONS; CHEMICAL REACTIONS; DIFFERENTIAL EQUATIONS; DIFFUSION; DISCRETE FOURIER TRANSFORMS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; PARAMETER ESTIMATION; PARTIAL DIFFERENTIAL EQUATIONS;

AIR POLLUTANTS; DANISH EULERIAN MODEL (DEM); OPERATOR SPLITTING; SPACE VARIABLE;

ERROR ANALYSIS;

EID: 8344222891     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2004.06.017     Document Type: Article

References (8)

1. I. Dimov, I. Faragó, Z. Zlatev, Á. Havasi, L-commutativity of the operators in splitting methods for air pollution models, Annal. Univ. Sci. Sec. Math. 44 (2001) 127-148.
2. Á. Havasi, J. Bartholy, I. Faragó, Splitting method and its application in air pollution modelling, Idojárás 105 (1) (2001) 39-58.
3. D. Lanser, J.G. Verwer, Analysis of operator splitting for advection-diffusion-reaction problems in air pollution modelling, J. Comput. Appl. Math. 111 (1-2) (1999) 201-216.
4. G.I. Marchuk, Methods of Splitting, Nauka, Moscow, 1988.
5. V.S. Varadarajan, Lie Groups, Lie Algebras and Their Representations, Prentice-Hall, Englewood Cliffs, NJ, 1974.
6. N.N. Yanenko, On convergence of the splitting method for heat equation with variable coefficients, J. Comput. Math. Math. Phys. 2 (5) (1962) (in Russian).
7. Z. Zlatev, Computer Treatment of Large Air Pollution Models, Kluwer Academic Publishers, Dordrecht, 1995.
8. Z. Zlatev, I. Dimov, K. Georgiev, Three-dimensional version of the Danish Eulerian Model, Zeitschrift für Angewandte Mathematik und Mechanik 76 (S4) (1996) 473-476.