Publikációk

    1) Folyóiratban megjelent referált publikációk:
 
       [1]  I. Dimov,  I. Faragó, Á. Havasi, Z. Zlatev, L-commutativity of the operators in splitting
        methods for air pollution models, Annales  Univ. Sci. Sec. Math. 44 (2001) 127-148.

       [2] J. Bartholy,  I. Faragó, Á. Havasi,  Splitting method and its application in air pollution
       modelling, Időjárás 105 (2001) 39-58.

       [3] Á. Havasi, L. Bozó, Z. Zlatev, Model simulation on the transboundary contribution to the
       atmospheric sulfur concentration and deposition in Hungary, Időjárás 105 (2001) 135-144.

       [4] Á. Havasi, Z. Zlatev, Trends of Hungarian air pollution levels on a long time-scale, Journal
       of Atmospheric Environment 36 (2002) 4145-4156.

       [5] M. Botchev, I. Faragó, Á. Havasi, Testing weighted splitting schemes on a one-column
       transport-chemistry model, Int. J. Env. Pol.  22, Nos. 1/2, (2004) 3-16.  

       [6] I. Dimov, I. Faragó, Á. Havasi, Z. Zlatev, Operator splitting and commutativity analysis in
       the Danish Eulerian Model, Math. Comp. Sim. 67 (2004) 217-233.

       [7] I. Faragó, Á. Havasi, On the convergence and local splitting error of different splitting  
  schemes, Progress in Computational Fluid Dynamics 5 (2005) 495-504.

       [8] P. Csomós, Á. Havasi, I. Faragó, Weighted sequential splittings and their analysis, Comp.
 Math. Appl.  50 (2005) 1017-1031.

       [9] Á. Havasi, Wave analysis of different splitting methods in the linearized shallow water
  equations,  International Journal of Computational Science and Engineering 3, No. 4 (2007), 264-270.

       [10] I. Faragó, Á. Havasi, Consistency analysis of operator splitting methods for C₀-semigroups,
 Semigroup Forum 74 (2007) 125-139.

       [11] I. Faragó, Á. Havasi, Relationship between vanishing splitting errors and pairwise commutativity,
       Applied Mathematics Letters (2007), megjelent elektronikusan: doi: 10.1016/j.aml.2007.02.008.

       [12] P. Csomós, I. Dimov, I. Faragó, Á. Havasi, Tz. Ostromsky, Computational complexity of
       weighted splitting schemes on parallel computers, International Journal of Parallel, Emergent
       and Distributed Systems 22, No. 3 (2007) p. 137.

       [13] Á. Havasi, Wave analysis for different splittings of the shallow water equations on the beta-plane, 
 Computers and Mathematics with Applications, 55 (2008), 2295-2305.  

       [14] I. Faragó, B. Gnandt, Á. Havasi, Additive and iterative operator splitting methods and their 
 numerical investigation, Computers and Mathematics with Applications 55 (2008), 2266-2279.  

       [15] I. Dimov, I. Faragó, Á. Havasi, Z. Zlatev, Different splitting techniques with application to
  air pollution models, IJEP 32, No. 2 (2008) 174-199.

       [16] Á. Havasi, The effect of operator splitting methods on data assimiliation in a diffusion-reaction model,
Special Issue on Multiplicative and Additive Operator Splitting, International Journal of Computational
Science 2, No. 3 (2008) 359-375.

       [17] I. Faragó, Á. Havasi, Richardson-extrapolated sequential splitting and its application, Journal of Computational and Applied Mathematics  226 (2009) 218-227, DOI: 10.1016/j.cam.2008.08.003.

       [18] Zs. Kocsis, Z. Ferenczi, Á. Havasi, I. Faragó, Operator splitting in the Lagrangian air pollution transport model FLEXPART, Időjárás 113, (2009) 189-202.

       [19] I.Faragó, Á. Havasi, Z. Zlatev, Efficient implementation of stable Richardson
Extrapolation algorithms,Computers and Mathematics with Applications 60 (2010), 
pp 2309-2325, DOI: 10.1016/j.camwa.2010.08.025 

[20] Z. Zlatev, I. Faragó, Á. Havasi, Stability of the Richardson Extrapolation applied
together with the θ-method, Journal of Computational and Applied Mathematics 235, (2010) 507-517. 

    2) Konferencia-kiadványokban megjelent publikációk:

       [21] I. Faragó, Á. Havasi, The mathemathical background of operator splitting and the effect of
 non-commutativity, in: S. Margenov, J. Wasniewski, P. Yalamov eds; Large-Scale Scientific
 Computing,  Lect. Notes Comp. Sci., N. 2179,  Springer Verlag, (2002)  264-271. 

       [22] P. Csomós, I. Faragó, Á. Havasi, Operator splitting technique in the modelling of physical
 and chemical processes, in NATO Advanced Research Workshop "Air Pollution Processes in
 Regional Scale", Kallithea, Greece, eds. by D. Melas, and D. Syrakov "NATO Science Series",
 Kluwer Academic Publishers (2003) 37-44.

       [23] M. Botchev, I. Faragó, Á. Havasi, Testing weighted splitting schemes on a one-column
 transport-chemistry model, in: S. Margenov, J. Wasniewski, P. Yalamov eds; Large-Scale
 Scientific Computing,  Lect. Notes Comp. Sci., 2907, Springer (2004) 295-302.

       [24] Á. Havasi, Dispersion analysis of operator splittings in the linearized shallow water 
 equations, Ivan Lirkov, Svetozar Margenov, Jerzy Wasniewski (Eds.): Large-Scale 
 Scientific Computing, 5th International Conference, LSSC 2005, Sozopol, Bulgaria, June 6-10, 
 2005, Revised Papers. Lecture Notes in Computer Science 3743 Springer 2006,
 ISBN 3-540-31994-8 

       [25] V. Prusov, A. Dorosenko, I. Faragó, Á. Havasi, On the numerical solution of the three-dimensional            advection-diffusion equation, Problems in Programming 2-3 (2006) 641-647.
      
       [26] Z. Zlatev, I. Faragó, Á. Havasi, On some stability properties of the Richardson Extrapolation applied
       together with the θ-method, I. Lirkov, S. Margenov, I. Wasniewski (Eds.) LSSC 2009,
       Lecture Notes in Computer Science 5910, Springer (2010) 54-66.

	[27] Zlatev, Z., Dimov, I. Farago, I., Georgiev, K., Havasi, A. and Ostromsky, Tz.: Richardson Extrapolated 
  Numerical Methods for Treatment of One-Dimensional Advection Equations, Springer-Verlag, LNCS 6046, 
  Berlin, Heidelberg, 7th International Conference, NMA 2010 Borovets, Bulgaria, August 20-24, 2010, 
  Revised Papers, 198-206 (2011).

    

    3) Disszertációk:

       Havasi, Á., A spektrális barotróp modell matematikai vizsgálata és adjungált változata,   
 szakdolgozat (2000) ELTE.

       Havasi, Á., Operator splitting methods and their applications in air pollution modelling,
       PhD disszertáció (2003) ELTE.

    4) Könyvek:

      I. Faragó, Á. Havasi, Operator splitting and their Applications, Mathematics Research Development   Series,
      Nova Science Publishers, Inc., New York (2009) 108 p.