Copyright (c) 2009 István Faragó
All rights reserved
A – Books, Editors
A1. I. Faragó, Cs. Gáspár, Numerical methods to the solution of partial
differential equations with hydrodinamic applications, Technical University,
Budapest, 1983.
A2. I. Faragó, Applied mathematics and computer science in agriculture,
University of Agricultural Sciences, Gödöllő, 1987.
A3. I. Faragó, A. Galántai, Numerical methods, University of Agricultural
Sciences, Gödöllő, 1990.
A4. H. Farkas, I. Faragó, P. Simon, Qualitative properties of conductive heat
transfer, in Thermodynamics of energy conversion and transport, eds. S.
Sienuitycz and A. De Vos , Springer Verlag 2000, 199-239.
A5. I. Faragó, J. Karátson, Numerical solution of nonlinear elliptic problems via
preconditioning operators. Theory and applications. Nova Science Publisher,
New York, 402 p. 2002.
A6. Z. Csörnyei, I. Faragó, S. Horváth,(editors) Selected papers of the 3rd joint
conference on mathematics and computer science, PU.M.A., Pure Math.
Appl. 11, 119-399 , 2000.
A7. I. Faragó, Á. Havasi, K. Georgiev (editors) Advances in Air Pollution
Modeling for Environmental Security, NATO Science Series, 54, Springer
Verlag, 406 p, 2005.
A8. I. Faragó, P. Vabisevich, L. Vulkov (editors) Finite Difference Methods:
Theory and Application, Rousse University Angel Kanchev, 352 p, 2007.
A9. I. Faragó, Á. Havasi, Z. Zlatev (editors) Advanced splitting techniques and
their applications, Special Issue of International Journal of Computational
Science and Engineering, V.3, N.4., 2007.
A10. I. Faragó, K. Georgiev, P. G. Thomsen, Z. Zlatev (editors) Numerical
Methods and Applications, Special Issue of Applied Mathematical Modelling,
V.32, N.8., 2008.
A11. I. Faragó, Á. Havasi, Z. Zlatev (editors) Advanced Numerical Algorithms
for Large-Scale Computations, Special Issue of An International Journal
Computers and Mathematics with Applications, V.55, N.10, 2008.
A12. I. Faragó, P. Simon, Z. Zlatev (editors) Large Scale Scientific
Computations, Special Issue of Journal of Computational and Applied
Mathematics, V.226, N.2, 2009.
A13. I. Faragó, Á. Havasi. Operator splittings and their applications. Nova
Science Publisher Inc., New York, 112 p. 2009.
A14. I. Faragó, A. Havasi, S. Margenov, Z. Zlatev (editors) Advanced
Computational Algorithms, Special Issue of Journal of Computational and
Applied Mathematics, V.235, N.2, 2010.
A15. I. Faragó, R. Horváth, Numerical methods, Typotex, Budapest, 406 p. 2011.
A16. I. Faragó, Zhilin Li, L. Vulkov. (editors) Finite Difference Methods: Theory
and Applications, Special Issue of International Journal of Numerical
Analysis & Modeling, V.3, N.2-3, 2011.
A17. I. Faragó, K. Georgiev, A. Havasi, Z. Zlatev (editors) Efficient numerical
methods for scientific applications, Special Issue of Computers &
Mathematics with Applications V.65 N.3, 2013.
A18. I. Dimov, I. Faragó, L. Vulkov (editors) Numerical Analysis and Its
Applications, Lecture Notes of Computer Science, Springer, V. 8236, 2013
A19. I. Faragó, A.Havasi.Z. Zlatev (editors). Advanced Numerical Methods for
Complex Environmental Models: Needs and Availability, Bentham Science
Publishers, ISBN: 978-1-60805-777-1, 2013, 418 p.
A20. I. Faragó, Á. Havasi, Z. Zlatev , Treatment of the Chemical Reactions in an
Air Pollution Model, in Advanced Numerical Methods for Complex
Environmental Models: Needs and Availability, eds. I. Farago et al, Bentham
Science Publishers, 2013, 54-78.
A21. I. Faragó, Á. Havasi, Z. Zlatev , Implementation of Splitting Procedures, in
Advanced Numerical Methods for Complex Environmental Models: Needs
and Availability, eds. I. Farago et al, Bentham Science Publishers, 2013, 79-
125.
A22. I. Faragó, Á. Havasi, Z. Zlatev , Application of Splitting in an Air Pollution
Model, in Advanced Numerical Methods for Complex Environmental Models:
Needs and Availability, eds. I. Farago et al, Bentham Science Publishers,
2013, 126-165.
A23. Mezei I., Faragó I., Simon P. N. Bevezetés az analízisbe, 298 p.. Typotech,
2014, e-book, http://etananyag.ttk.elte.hu/download.php?view.78
A24. Faragó I., Havasi Á., . Mezei I., Simon P. N. Introductory Course in
Analysis, 176 o. Typotech , 2014, e-book,
http://etananyag.ttk.elte.hu/download.php?view.73
A25. Faragó I, Fekete I., Horváth R. Numerikus módszerek példatár, 286 o.
Tankönyvtár, 2014, e-book,
http://tankonyvtar.ttk.bme.hu/authorlistp.jsp?bookId=117
A26. Faragó I. . Numerical Methods for Ordinary Dfferential Equations, 191 o.
Tankönyvtár, 2014, e-book,
http://tankonyvtar.ttk.bme.hu/authorlistp.jsp?bookId=77
A27. I. Faragó, K. Georgiev, A. Havasi, Z. Zlatev (editors) Efficient algorithms
for large-scale scientific computations, Special Issue of Computers &
Mathematics with Applications V.67 N.12, 2014.
B – Journal papers
B1. I. Faragó, E. Smrcz, Solution of partial differential equations by finite
element method, Informatika- Elektronika, 13 (1978) 34-39.
B2. I. Faragó, Finite element method to the solution of elliptic problems, Alk.
Mat. Lapok, 8 (1982) 399-425.
B3. I. Faragó, Finite element discretization of linear and nonlinear parabolic type
differential equations, Bull. Appl. Math. 35 (1984) 101-114.
B4. I. Faragó, Finite element method to the solution of linear parabolic problems,
Alk. Mat. Lapok, 11 (1985) 123-155.
B5. I. Faragó, Numerical solution of the heat conduction problem in one
dimension, Bull. Appl. Math., 37 (1985).
B6. I. Faragó, Numerical solution of nonlinear partial differential equations of
parabolic type with third boundary conditions, Bull. Appl. Math., 37 (1985).
B7. I. Faragó, Analysis of mathematical models of kinetic reactions and their
numerical solution with the Galerkin method, Bull. Appl. Math., 44 (1986)
163-169.
B8. I. Faragó, Finite element method to the solution of nonlinear parabolic
equations, Alk. Mat. Lapok, 13 (1988) 335-348.
B9. I. Faragó, Finite element method to the solution of nonlinear parabolic
systems, Alk. Mat. Lapok 13 (1988) 349-359.
B10. I. Faragó, A. Galántai, An A-stable three level method for the Galerkin
solution of quasilinear parabolic problems, Annales Univ. Sci. Budapest,
Sect. Comp., 9 (1989) 67-80.
B11. I. Faragó, Finite element method for solving nonlinear parabolic equations,
Comput. Math. Appl., 21 (1991) 59-69.
B12. I. Faragó, Finite element method for solving nonlinear parabolic systems,
Comput. Math. Appl., 21, (1991) 49-57.
B13. I. Faragó, On the nonnegative solution of some system of linear algebraic
equations and its application to the numerical solution of partial differential
equations, Quaderni del Dipartimanto di Matematica, Statistica,
Informatica e Applicazioni, Universita degli Studi di Bergamo, 12 (1992)
1-23.
B14. I. Faragó, H. Hariton, N. Komáromi, T. Pfeil, Heat-conduction equation and
qualitative properties of its numerical solution. Nonnegativity of the linear
approximation, Alk.Mat.Lapok, 17 (1993) 101-121 .
B15. I. Faragó, H. Hariton, N. Komáromi, T. Pfeil, Heat-conduction equation and
qualitative properties of its numerical solution. Nonnegativity of the
quadratic approximation, maximum-principle and nonoscillation, Alk. Mat.
Lapok, 17 (1993) 123-141.
B16. I. Faragó, T. Pfeil, Preserving concavity in initial-boundary value problems
of parabolic type and its numerical solution, Period. Math. Hungar., 30
(1995) 135-139.
B17. I. Faragó, Qualitative properties of the numerical solution of linear
parabolic problems with nonhomogeneous bundary conditions, Comput.
Math. Appl., 31 (1996) 143-150.
B18. I. Faragó, Nonnegativity of the difference schemes, Pure Math. Appl., 6
(1996) 147-159.
B19. I. Faragó, One-step methods of solving parabolic problems and their
qualitative properties, Publ. Appl. Anal. 3 (1996) 1-24.
B20. I. Faragó, A. Kriston, Some properties of discrete functions and their
applications in engineering science, Publ. Univ. Miskolc, Ser. D, Nat. Sci.,
Math., 37 (1997) 21-29.
B21. I. Faragó, Regular and exponential convergence of difference schemes for
the heat-conduction equation, Comput. Math. Appl. 38 (1999) 71-77.
B22. I. Faragó, R. Horváth, An optimal mesh choice in the numerical solution of
the heat equation, Comput. Math. Appl. 38 (1999) 79-85.
B23. I. Faragó, A new matrix-splitting method and its application to M-matrices,
Pure Math. Appl. 12 (1998) 51-59.
B24. I. Faragó, P. Tarvainen, Qualitative analysis of one-step algebraic models
with tridiagonal Toeplitz matrices, Period. Math. Hungar., 35 (1997) 177-
192.
B25. I. Faragó, S. Korotov, P. Neittaanmäki, Finite element analysis of 3D heat
conduction equation with third boundary conditions, Annal. Univ. Sci. Sec.
Math., 41 (1998) 181-193.
B26. I. Faragó, P. Tarvainen, Qualitative analysis of matrix splitting method,
Comput. Math. Appl., 42 (2001) 1055-1067.
B27. I. Dimov, I. Faragó, Á. Havasi, Z. Zlatev, L-commuataivity of the operators
in splitting methods for air pollution models, Annales Univ. Sci. Sec.
Math., 44 (2001) 127-148.
B28. I. Faragó, C. Palencia, Sharpening the estimate of the stability bound in the
maximum-norm of the Crank--Nicolson scheme for the one-dimensional heat
equation, Appl. Numer. Math. 42 (2002) 133-140.
B29. I. Faragó, J. Karátson, The gradient-finite element method for elliptic
problems, Comput. Math. Appl., 42 (2001) 1043-1053.
B30. I. Faragó, J. Karátson, Gradient-finite element method for nonlinear
Neumann problems, J. Appl. Anal. 7 (2001) 257-269.
B31. I. Faragó, M. Kovács, Stochastic regular splitting and its application to the
iterative methods, Pure Math. Appl. 11 (2000) 219-230.
B32. J. Bartholy, I. Faragó, Á. Havasi, Splitting method and its application in air
pollution modelling, Időjárás, Quart. J. HMS, 105 (2001) 39-58.
B33. I. Faragó, M. Kovács, Ergodic Markov chains and their applications, Alk.
Mat.Lapok, 20 (2000) 149-164.
B34. I. Faragó, S. Korotov, P. Neittaanmäki, Galerkin approximations for the
linear parabolic equation with the third boundary condition, Appl. Math.
48 (2003), 111-128.
B35. O. Axelsson, I. Faragó, J. Karátson, Sobolev space preconditioning for
Newton's method using domain decomposition, Numer. Lin. Algebra Appl. 9
(2002), 585-598.
B36. I. Faragó, J. Karátson, Variable preconditioning for nonlinear elliptic
problems via inexact Newton methods in Hilbert spaces, SIAM J. Numer.
Anal. 41 (2003) 1242-1262.
B37. I. Faragó, M. Kovács, On the maximum norm contractivity of second order
damped single step methods, Calcolo, 2 (2003) 91-108.
B38. P. Csomós, I. Faragó, Á. Havasi, Weighted sequential splittings and their
analysis, Comput. Math. Appl., 50 (2005) 1017-1031.
B39. I. Faragó, J. Karátson, Preconditioning operators and Sobolev gradients for
nonlinear elliptic problems, Comput. Math. Appl., 50 (2005) 1077-1092.
B40. I. Dimov, I. Faragó, A. Z. Zlatev, Parallel computations with large-scale
air pollution models, Problems in Programming, 3 (2003) 44-52.
B41. M. Botchev, I. Faragó, Á. Havasi, Testing weighted splitting schemes on a
one-column transport-chemistry model, Int. J. Environmental Pollution., 22
(2004) 3-16.
B42. I. Faragó, Á. Havasi, On the convergence and local splitting error of
different splitting schemes, Progress in Computational Fluid Dynamics, 5
(2005) 495-504.
B43. 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.
B44. I. Faragó, R. Horváth, S. Korotov, Discrete maximum principle for linear
parabolic problems solved on hybrid meshes, Appl. Numer. Math. 43 (2005)
249-264.
B45. I. Faragó, R. Horváth, W. Schilders, Investigation of numerical time
integrations of the Maxwell equations using the staggered grid spatial
discretization, Int. J. Num. Modelling, 18 (2005) 149-169.
B46. I. Faragó, J. Karátson, Gradient--finite element method for the Saint-Venant
model of elasto-plastic torsion in the hardening state, International Journal
of Numerical Analysis and Modeling, 5 (2008) 206-222.
B47. I. Faragó, J. Geiser, Iterative operator- splitting methods for linear
problems, Int. J. Computational Science and Engineering, 3 (2007) 255-263.
B48. I. Dimov, I. Faragó, Á. Havasi, Z. Zlatev, Different splitting techniques with
application to air pollution models, Int. J. Environmental. Pollution, 32 (2008)
174-199.
B49. I. Faragó, On the efficiency of the operator splitting method, models, Problems
in Programming, 7 (2006) 654-658.
B50. A. Dorosenko, I. Faragó, Á. Havasi, V. Prussov, On the numerical solution
of the three-dimensional advection-diffusion equation, Problems in
Programming, 7 (2006) 641-647.
B51. I. Faragó, Á. Havasi, Consistency analysis of operator splitting methods for
C0- semigroups, Semigroup Forum, 74 (2007) 125-139.
B52. P. Csomós, I. Faragó, Error analysis of the numerical solution of split
differential equations, Mathematical and Computer Modelling, 48 (2008)
1090–1106.
B53. I. Faragó, R. Horváth, A review of reliable numerical models for threedimensional
linear parabolic problems, Int. J. Numer. Meth. Engng., 70
(2007) 25-45.
B54. I. Faragó, R. Horváth, Discrete maximum principle and adequate
discretizations of linear parabolic problems, SIAM Scientific Computing, 28
(2006) 2313-2336.
B55. I. Faragó, Application of the operator splitting method for real-life problems,
Időjárás, Quart. J. HMS, 110 (2006) 379-395.
B56. P. Csomós, I. Dimov, I. Faragó, Á. Havasi, Tz. Ostromsky, Computational
complexity of weighted splitting scheme on parallel computers,
International Journal of Parallel, Emergent and Distributed Systems, 22
(2007) 137-147.
B57. I. Faragó, B. Gnandt, Á. Havasi, Additive and iterative splitting methods
and their numerical investigation, Computers and Mathematics with
Applications, 55 (2008) 2266-2279.
B58. I. Faragó, Á. Havasi, Relationship between vanishing splitting errors and
pairwise commutativity, Applied Math. Letters, 21 (2008) 10–14.
B59. I. Faragó, A modified iterated operator splitting method, Applied
Mathematical Modelling, 32 (2008) 1542-1551.
B60. I. Faragó, P. Thomsen, Z. Zlatev, On the additive splitting procedures and
their computer realization, Applied Mathematical Modelling, 32 (2008)
1552-1569.
B61. M. Botchev, I. Faragó, R. Horváth, Application of the operator splitting to
the Maxwell equations including a source term, Appl. Num. Math., 59
(2009) 522-541.
B62. I. Faragó, R. Horváth, Continuous and discrete parabolic operators and
their qualitative properties, IMA Numerical Analysis 29 (2009) 606-631.
B63. I. Faragó, R. Horváth, Qualitative properties of monotone linear operators,
Electronic Journal of Qualitative Theory of Differential Equations, 8 (2008)
1-15.
B64. I. Faragó, A. Havasi, Z. Zlatev ., Richardson-extrapolated sequential
splitting and its application, J. Comp. Appl. Math., 226 (2009) 218-227.
B65. I. Faragó, Operator splitting procedures and their analysis, Alkalmazott
Matematikai Lapok, 26 (2009) 255-272.
B66. Zs. Kocsis, Z. Ferenci, I. Faragó, A. Havasi, Operator splitting in the
Lagrangian air pollution transport model FLEXPART, Időjárás, Quart. J.
HMS, 113 (2009) 189-202.
B67. I. Faragó, Discrete maximum principle for finite element parabolic models
in higher dimensions, Math. Comp. Sim., 80 (2010) 1601–1611.
B68. I. Faragó, R.Horváth, S. Korotov, Discrete maximum principles parabolic
problems with general boundary conditions, Aplimat-Journal of Applied
Mathematics, 2 (2009) 49-56.
B69. I. Faragó, R.Horváth, S. Korotov, Discrete maximum principles for FE
solutions of nonstationary diffusion-reaction problems with mixed boundary
conditions, Numerical Methods for Partial Differential Equations, 27 (2011)
702-720.
B70. A. Kriston; Gy. Inzelt, I. Faragó, T. SzabóSimulation of transient
behavior of fuel cells by using operator splitting techniques for real time
applicationsComputers and Chemical Engineering 34 (2010) 339–348.
B71. I. Faragó, J. Karátson, S. Korotov, Discrete maximum principles for the
FEM solution of some nonlinear parabolic problems, E. Transactions on
Numerical Analysis (ETNA) 36 (2010) 149-167.
B72. I. Faragó, A. Havasi, Z. Zlatev, Stability of the Richardson extrapolation
applied together with the theta-method, Journal of Computational and
Applied Mathematics 235 (2010) 507-522.
B73. I. Faragó, S. Korotov, T. Szabó, Non-negativity preservation of the discrete
nonstationary heat equation in 1D and 2D, Aplimat-Journal of Applied
Mathematics, 3 (2010) 60-81.
B74. I. Faragó, S. Korotov, T. Szabó, On modifications of continuous and
discrete maximum principles for reaction-diffusion problems, Adv. Appl.
Math. Mech., 3 (2011) 109-120.
B75. I. Faragó, A. Havasi, Z. Zlatev, Efficient implementation of Richardson
Extrapolation Algorithms, Computers and Mathematics with Applications,
60 (2010) 2309–2325.
B76.. I. Faragó, S. Korotov, T. Szabó. On sharpness of two-sided discrete
maximum principles for reaction-diffusion problems, Aplimat-Journal of
Applied Mathematics, 4 (2011) 247-254.
B77 I. Faragó, A. Havasi, Z. Zlatev. Richardson extrapolation combined with the
sequential splitting procedure and the θ-method, Central European Journal
of Mathematics, 10 (2012) 159-172.
B78.. I. Faragó, S. Korotov, T. Szabó. On continuous and discrete maximum
principles for elliptic problems with the third boundary condition, Applied
Mathematics and Computation, 219 (2013) 7215-7224.
B79. I. Faragó, A. Havasi, R. Horváth, On the order of operator splitting methods
for time-dependent linear systems of differential equations, Int. J. Num.
Anal. Modelling, 2 (2011) 142-154.
B80. Z. Zlatev, A. Havasi, I. Faragó, Influence of climatic changes on pollution
levels in Hungary and its surrounding countries, Atmosphere, 2 (2011)
201-221.
B81. I. Faragó, A. Havasi, R. Horváth,. Numerical solution of the Maxwell
equations in time-varying medium using Magnus expansion,Central
European Journal of Mathematics, 10 (2012) 137-149.
B82. .Z. Zlatev, I. Dimov, I. Faragó at al. Solving advection equations by applying
the Crank-Nicolson scheme combined with the Richardson Extrapolation,
International Journal of Differential Equations 2011 (2011), ID 520840, 1-
16, doi:10.1155/2011/520840
B83. I. Faragó, M. Mincsovics, I. Fekete, . Notes on the basic notions in
nonlinear numerical analysis, Electronic Journal of Qualitative Theory of
Differential Equations, No. 6 (2011) 1-22.
B84. I. Faragó, J. Karátson, S. Korotov, Discrete maximum principles for the
FEM solution of some nonlinear parabolic problems, IMA Numerical
Analysis, 32 (2012) 32, 1541–1573
B85. I. Faragó, A. Havasi, Z. Zlatev. The convergence of diagonally implicit
Runge--Kutta methods combined with Richardson extrapolation, Comp.
Math: Appl. 65 (2013) 395-401.
B86. I. Faragó, F. Izsák, T. Szabó, A. Kriston An IMEX scheme for reactiondiffusion
equations: application for a PEM fuel cell model. Cent. Eur. J.
Math., 11 (2013) 746-759.
B87. I. Faragó, T. Ladics. Generalizations and error analysis of the iterative
operator splitting method, Cent. Eur. J. Math., 11 (2013) 1416-1428.
B88. I. Faragó. Some notes on the iterative operator splitting, J. Applied and
Computational . Mathematics,.. 2 (2013) doi: 10.4172/2168-9679.1000e129
B89. I. Faragó, F. Izsák, T. Szabó. An IMEX scheme combined with Richardson
extrapolation methods for some reaction-diffusion equations, Időjárás 117
(2013) 201-218.
B90 I. Faragó, I. Fekete. T-stability of general one-step methods for abstract
initial-value problems , The Open Mathematics Journal, 6 (2013) 19-25.
B91. I. Faragó, I. Fekete. N-Stability of The Theta-Method for Reaction-Diffusion
Problems , Miskolc Mathematical Notes, 15 (2014) 447-458..
B92. I. Faragó, I. Fekete. Stability concepts and their application, Computer and
Mathematics with Application, 67 (2014) 2158-2170.
B93. I. Faragó, Z. Zlatev et al. Application of Richardson Extrapolation for multidimensional
advection equations. Computer and Mathematics with
Application, 67 (2014) 2279-2293.
C – Papers in conference proceedings
C1. I. Faragó, Implementation of the finite element method as a Ritz-method with
special choice of the basis functions, MÜM SZÁMTI Intézeti Tájékoztató, 1
(1977).
C2. I. Faragó, On the program package for solving elliptic partial differential
equations by finite element method, MÜM SZÁMTI Intézeti Tájékoztató 2
(1978).
C3. I. Faragó, Numerical solution of the axis- symmetric flow problem by finite
element method, in Problems of the theory, application and computer
realization of the finite element method, Budapest, 1979.
C4. I. Faragó, Computer program to the solution of partial differential equations
by finite element method, MÜM SZÁMTI Intézeti Tájékoztató 3 (1979)
C5. I. Faragó, Computer program for solving some fluid transport processes, in
Proc. of Third Hungarian Computer Science Conference, (1981)
C6. I. Faragó, Mathematical modeling of the transport processes and its
numerical treatment, MÜM SZÁMTI Intézeti Tájékoztató, 4 (1980)
C7. I. Faragó, Mathematical modeling and solution of the nonlinear, timedepending
problems by finite element method, in Proc. of the Symposium
of the Hung. Acad. of Sciences and Ministry of Agriculture of Hungary,
Gödöllö, 7, (1985)
C8. I. Faragó, Analysis and numerical solution of the mathematical model of the
reaction- kinetics problems, in Proc. of the Symposium of the Hung. Acad.
of Sciences and Ministry of Agriculture of Hungary, Gödöllö, 7 (1987)
C9. I. Faragó, Convergence of semidiscrete Galerkin approximation for parabolic
equation with signdetermined nonlinearity, in: D. Greenspan, P. Rózsa,
eds., Numerical Methods, North- Holland, 50 (1988) 385-394.
C10. I. Faragó, Some results of Galerkin method for the solution of nonlinear
parabolic system, in: K. Strehmel, ed., Numerical Treatment of Differential
Equations, Teubner- Texte zur Mathematik, 104 (1987) 184-189.
C11. I. Faragó, Numerical stability of the numerical solution of the partial
differential equations, in Proc. of the Symposium of the Hung. Acad. of
Sciences and Ministry of Agriculture of Hungary, Gödöllö 7 (1987).
C12. I. Faragó, Convergence of semidiscrete Galerkin approximations for
generalized nonlinear parabolic problems, in B. Szökefalvi, ed.,
Differential Equations, North-Holland, 53 (1988) 173-179.
C13. I. Faragó, N. Komáromi, Nonnegativity of the numerical solution of the
parabolic problems, in: D. Greenspan, P. Rózsa, eds., Numerical Methods,
North-Holland, 59 (1991) 173-179.
C14. I. Faragó, Solution of parabolic problems with different discretizations, in
K. Strehmel, ed., Numerical Treatment of Differential Equations, Teubner-
Texte zur Mathematik, 121 (1991) 198-203.
C15. I. Faragó, Positivity of the finite difference scheme for the linear parabolic
problems, in: M. Farkas, Z. Sebestyén, eds., Differential Equations and
Applications, North-Holland, 162 (1991) 113-118.
C16. I. Faragó, On the mesh for difference schemes of higher accuracy for the
heat conduction equation, in: Finite element methods, ed. by M.Krizek, P.
Neittaanmaki, M. Dekker Press, (1997) 127-133.
C17. I. Faragó, R. Horváth, On the nonnegativity conservation of finite element
solutions of parabolic problems, in: P. Neittaanmäki, M. Krizek eds; Finite
Element Methods. Three-Dimentional Problems, Sci. Appl., Gakuto, Tokyo,
(2001) 78-86.
C18. I. Faragó, Proper weak regular splitting for M-matrices, in: L. Vulkov, J.
Wasniewski, eds; Numerical Analysis and its Applications, Lect. Notes
Comp. Sci. Springer Verlag (2001) 285-292.
C19. 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.,
2179, Springer Verlag (2002) 264-271.
C20. I. Faragó, J. Karátson, Sobolev space preconditioning for nonlinear mixed
boundary value problems, in: S. Margenov, J. Wasniewski, P. Yalamov eds;
Large-Scale Scientific Computing, Lect. Notes Comp. Sci., 2179, Springer
Verlag (2002) 104-112.
C21. P. Csomós, I. Faragó, Á. Havasi, Operator splitting and global error
analysis, in NATO Advenced 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.
C22. 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 Verlag (2004) 295-302.
C23. R. Horváth, I. Faragó, W. Schilders, Iterative solution methods of the
Maxwell equations using the staggered grid spatial discretization, in: M.
Krizek at all eds; Conjugate Gradient Algorithms and Finite Element
Methods, Springer Verlag, Berlin (2004) 211-220.
C24. O. Axelsson, I. Faragó, J. Karátson, On the application of preconditioning
operators for nonlinear elliptic problems, in: M. Krizek at all eds;
Conjugate Gradient Algorithms and Finite Element Methods, Springer
Verlag, Berlin, (2004) 245-258.
C25. I. Faragó, S. Korotov, Nonnegativity preservation in the numerical solution
of linear PDE's,, in: M. Krizek at all eds; Conjugate Gradient Algorithms
and Finite Element Methods, Springer Verlag, Berlin (2004) 185-196.
C26. I. Faragó, R. Horváth, S. Korotov, Discrete maximum principle for Galerkin
finite element solutions to parabolic problems on rectangular meshes, in:
Feistauer, M. et al ed; Numerical Mathematics and Advanced Applications,
Springer Verlag, Berlin (2004) 298-307.
C27. I. Faragó, Splitting methods for abstract Cauchy problems, in: Z. Li, L.
Vulkov, J. Waśniewski eds. Numerical Analysis and Its Application,
Lect. Notes Comp. Sci. 3401, Springer Verlag, Berlin (2005) 35-45.
C28. I. Faragó, Lax equivalence theorem in Banach spaces with parameter,
Tuebinger Berichte zur Funktionalanalysis, 14, Tuebingen Univesitat (2005)
89-95.
C29. I. Faragó, Operator splittings and numerical methods, in: I. Lirkov,
S..Margenov, J. Wasniewski eds. Large-Scale Scientific Computing, Lect.
Notes Comp. Sci. 3743, Springer Verlag, Berlin (2006) 347-354.
C30. I. Faragó, New operator splittings and their applications, in: T. Boyanov et
al. eds. Numerical Methods and Application, Lect. Notes Comp. Sci. 4310,
Springer Verlag, Berlin (2007) 443-450.
C31. I. Faragó, R. Horváth, Discrete mesh operators and their qualitative
properties, Tuebinger Berichte zur Funktionalanalysis, 15, Tuebingen
Univesitat (2006) 145-154.
C32. I. Faragó, Á. Havasi, On the Richardson extrapolation as applied to the
sequential splitting method, Lect. Notes Comp. Sci., 4818, Springer Verlag,
Berlin (2007) 174-181.
C33. I. Faragó, K. Georgiev, Z.Zlatev, Parallelization of advection-diffusionchemistry
modules, Lect. Notes Comp. Sci., 4818, Springer Verlag, Berlin
(2007) 28-39.
C34. I. Faragó, R. Horváth, Qualitative analysis of discrete mesh operators, in: I.
Faragó, P. Vabisevich, L. Vulkov eds; Finite Differnce Methods: Theory and
Application, Rousse University, Angel Kanchev, (2007) 39-46.
C35. R. Horváth, I. Faragó, Discrete maximum principle for finite difference
solutions of the heat equation, in: I. Faragó, P. Vabisevich, L. Vulkov eds;
Finite Difference Methods: Theory and Application, Rousse University,
Angel Kanchev, (2007) 197-202.
C36. I.Faragó, G.Inzelt, M.Kornyik, Á.Kriston, T.Szabó. Stabilization of a
numerical model through the boundary conditions for the real-time
simulation of fuel cells, in: Innovations and Advanced Techniques in
Systems, Computing Sciences and Software Engineering, Springer Verlag,
(2008) 489-494.
C37. I. Faragó, Qualitative analysis of the Crank-Nicolson method for the heat
conduction equation, Lect. Notes Comp. Sci., 5434, Springer Verlag,
Berlin, (2009) 44-55.
C38. I. Faragó, Matrix and discrete maximum principles, Lect. Notes Comp.
Sci., 5910 (2010) 563-570.
C39. Z. Zlatev, I. Faragó, A. Havasi, On some stability properties of
theRichardson extrapolation applied together with the theta-method, Lect.
Notes Comp. Sci., Springer Verlag, 5910 (2010) 54-66.
C40. Z. Zlatev, I. Dimov, I. Faragó at al. Richardson Extrapolated Numerical
Methods for Treatment of One-Dimensional Advection Equations,,
LectNotes Comp. Sci., Springer Verlag, 6046 (2011) 198-206.
C41. I. Faragó,. Matrix maximum principles and their application, Proc. ” The
7th Hungarian-Japanese Symposium on Discrete Mathamatics and its Applications”
Kyoto, 2011,. New York: SIAM, 2012. pp. 47-53.
C42. I. Faragó, A. Havasi, Z. Zlatev. The convergence of explicit Runge-Kutta
methods combined with Richardson extrapolation, "Application of
Mathematics 2012", Editors: J. Brandts, J. Chleboun, S. Korotov, K. Segeth,
J. Sistek, T. Vejchodsky, (2012) 99-106.
C43. I. Faragó, Convergence and stability constant of the theta-method,
"Application of Mathematics 2013", Editors: J. Brandts, S. Korotov, K.
Krizek, J. Sistek, T. Vejchodsky, (2013) 42-51.
C44. I. Faragó, Z. Zlatev, et al. Application of Richardson Extrapolation with the
Crank-Nicolson scheme for multi-dimensional advection . "Application of
Mathematics 2013", Editors: J. Brandts, S. Korotov, K. Krizek, J. Sistek, T.
Vejchodsky, (2013) 248-256.
C45. I. Faragó. Reliable numerical models for diffusion problems.
"Supercomputer Technologies of Mathematical Modelling 2013", Editors: P.
Vabisevich, V. Vasilev, Yakutsk State University Press (2014) 164-173..
(ISBN 978-5-7513-1910-6)
C46. I. Faragó, I. Fekete. A stability approach for reaction-diffusion problems.
"8th IEEE International Symposium on Applied Computational Intelligence
and Informatics", Timisoara, Romania) IEEE Xplore, (2013) 191-195. doi:
10.1109/SACI.2013.6608965
C47. I. Faragó. Note on the convergence of the implicit Euler method, Numerical
Analysis and its Applications, LNCS, Springer (2013) 1-11.
C48. Zlatev Z, Farago I, Havasi:A. Mathematical treatment of environmental
models, Springer Series "Mathematics in Industry", Volume "Progress in
Industrial Mathematics at ECMI 2012, (2014) 65-70.
S – Submitted publications
S1. I. Faragó, J.Karatson, S. Korotov. Discrete nonnegativity for nonlinear
cooperative parabolic PDE systems with non-monotone coupling (submitted
to Mathematics and Computers in Simulation)
S2. Faragó I. . Numerikus modellezés és közönséges differenciálegyenletek
numerikus megoldási módszerei, 260 o. Typotech (submitted)
S3. I. Faragó, R.Horváth. On some qualitatively adequate discrete space-time
models of epidemic propagation, (submitted to Journal of Computational and
Applied Mathematics)
S4. G. Sebestyén, I. Faragó, R.Horváth., R. Kersner, M. Klincsik. Stability of
patterns and of constant steady states for a cross-diffusion system, (submitted
to Journal of Computational and Applied Mathematics)
S5.P. Csomós, I. Faragó, I. Fekete. Numerical stability for nonlinear evolution
equations, (submitted to Journal of Computers and Mathematics with
Applications)
S6. I. Faragó, R. Horváth.. On a spatial epidemic propagation model, (submitted
to ECMI-2014 Proceeding)
S7.P. Csomós, I. Faragó, I. Fekete. Operator semigroups for convergence
analysis , (submitted to Lecture Notes in Computer Science)
S8. Z. Zlatev, I. Faragó, Á. Havasi. Impact of climatic changes on pollution levels.
(submitted to Mathematical problems in meteorological modelling)
S9. I. Faragó, R. Horváth, J.Karatson, S. Korotov. Qualitative properties of
nonlinear parabolic operators (submitted to Communications in Partial
Differential Equations)
D – Thesis
D1.Solution by finite element method of the Poisson problem in 3D, (M.Sciesis
thesis), Kiew State University, Kiew, 1974
D2. Finite element method and its application to the solution of boundary value
problems, (Ph.D. thesis), Eötvös Loránd University, Budapest, 1977.
D3. Finite element method to the solution of some nonlinear parabolic problems,
(Thesis for the Candidate of Mathematical and Physical Sciences), Kiew,
1986.
D4. Numerical solution of partial differential equations of parabolic type
applications, (Habilitation thesis), Budapest, 2005.
D5. Numerical treatment of linear parabolic problems, (Thesis for the Doctor of
Hungarian Academy of Sciences), Budapest, 2008.
O – Other Publications
O1. I. Faragó, K. Georgiev, P. G. Thomsen, and Z. Zlatev, Editorial Preface:
Numerical and Computational Issues Related to Applied Mathematical
Modelling, Applied Mathematical Modelling, 32 (2008) 1475-1476.
O2. I. Faragó, A. Galántai, Balla Katalin, Alkalmazott Matematikai Lapok, 25
(2007), 1-8.
O3. I. Faragó, Gy. Inzelt, A. Kriston, M. Kornyik, T. Szabo, Fuel cells
developments in Hungary, A Jövő Járműve, 1-2, (2007) 62-65.
O4. I. Faragó, Á.Havasi, Z. Zlatev, Preface: Advanced numericval algorithms for
large-scale computations, Comput. Math. Appl., 55 (2008) 2183-2184.
O5. I. Faragó, P. Simon, Z. Zlatev, Large scale scientific computations: Editorial
introduction, J. Comp. Appl. Math., 226 (2009) 187-189.
O6. Z. Zlatev, I. Faragó, A. Havasi, S. Margenov, Special Issue on Advanced
Computational Algorithms: Introduction, J. Comp. Appl. Math., (2010) 235
(2010) 345-347.
O7. I. Faragó, L. Lovasz, L. Simon is 70 years old, Annales Univ. Sci. Budapest,
53 (2010)3-6.
O8. I. Faragó, K. Georgiev, Á.Havasi, Z. Zlatev, Editorial: Efficient numerical
methods for scientific applications: Introduction, Computers & Mathematics
with Applications 65 (2013) 297-300.
O9. I. Faragó, K. Georgiev, Á.Havasi, Z. Zlatev, Editorial: Efficient algorithms
for large-scale scientific computations: Introduction, Computers &
Mathematics with Applications 67 (2014) 2085-2087.