Publications

This list is based on the official Hungarian National Scientific Bibliography (MTMT). You can also find my Google Scholar profile.



2021
  A. Molnár, I. Fekete, P.L. Simon: Learning a function from data by solving a differential equation and tuning its parameters (submitted)
  A. Molnár, I. Fekete, G. Söderlind: Runge-Kutta-Möbius methods (submitted)
  I. Fekete, S. Conde, J.N. Shadid: Embedded pairs for optimal explicit strong stability preserving Runge-Kutta methods (submitted)



2021 Author's version Published version
  C. Arévalo, G. Söderlind, Y. Hadjimichael, I. Fekete: Local error estimation and step size control in adaptive linear multistep methods, Numerical Algorithms, Vol. 86, pp. 537-563 Link Link
2019
  I. Fekete, Á. Horváth: Some embedded pairs for optimal implicit strong stability preserving Runge-Kutta methods, Progress in Industrial Mathematics at ECMI 2018, vol. 30. Springer, Cham, pp. 359-364 Link Link
2018
  G. Söderlind, I. Fekete, I. Faragó: On the zero-stability of multistep methods on smooth nonuniform grids, BIT Numerical Mathematics 58:4, pp. 1125-1143 Link Link
  I. Fekete, D. Ketcheson, L. Lóczi: Positivity for convective semi-discretizations, J. Sci. Comp., Vol. 74, No. 1, pp. 244-266 Link Link
2015
  P. Csomós, I. Faragó, I. Fekete: Numerical stability for nonlinear evolution equations, Comput. Math. Appl., 70, No. 11, pp. 2752-2761 Link Link
  P. Csomós, I. Faragó, I. Fekete: Operator semigroups for convergence analysis, Lecture Notes in Comput. Sci., 9045, pp. 38-49 Link Link
2014
  I. Fekete, I. Faragó: Stability concepts and their applications, Comput. Math. Appl., 67, No. 12, pp. 2158-2170 Link Link
  I. Fekete, I. Faragó: N-stability of the $\theta$-method for reaction-diffusion problems, Miskolc Math. Notes, 15, No. 2, pp. 447-458 Link Link
2013
  I. Faragó, I. Fekete: T-stability of general one-step methods for abstract initial-value problems, Open Math. J., Vol. 6, pp. 1-8 Link Link
  I. Fekete, I. Faragó: A stability approach for reaction-diffusion problems, SACI, 8th IEEE International Symposium, pp. 191-195 Link Link
2012
  I. Faragó, M. E. Mincsovics, I. Fekete: Notes on the basic notions in nonlinear numerical analysis, Electron. J. Qual. Theory Differ. Equ., Proc. 9'th Coll. Qualitative Theory of Diff. Equ., No. 6, pp. 1-22 Link Link
Others
2016
  I. Faragó, I. Fekete, R. Horváth: Exercises on Numerical Methods, ISBN: 978-963-279-892-9, Typotex Kiadó, 246 pages (in Hungarian) Link Link