@{MTMT:33835027,
	title = {On the Consistency and Convergence of Repeated Richardson Extrapolation},
	url = {https://m2.mtmt.hu/api/publication/33835027},
	author = {Matebie, Teshome Bayleyegn and Faragó, István and Havasi, Ágnes},
	booktitle = {Numerical Methods and Applications},
	doi = {10.1007/978-3-031-32412-3_5},
	unique-id = {33835027},
	year = {2023},
	pages = {48-58},
	orcid-numbers = {Matebie, Teshome Bayleyegn/0000-0002-9277-4315; Faragó, István/0000-0002-4615-7615; Havasi, Ágnes/0000-0002-4125-4520}
}

@{MTMT:33834370,
	title = {Mathematical Modelling of Nonlinear Heat Conduction with Relaxing Boundary Conditions},
	url = {https://m2.mtmt.hu/api/publication/33834370},
	author = {Filipov, Stefan M. and Faragó, István and Avdzhieva, Ana},
	booktitle = {Numerical Methods and Applications},
	doi = {10.1007/978-3-031-32412-3_13},
	unique-id = {33834370},
	year = {2023},
	pages = {146-158},
	orcid-numbers = {Filipov, Stefan M./0000-0002-2903-8315; Faragó, István/0000-0002-4615-7615; Avdzhieva, Ana/0000-0003-4973-3056}
}

@article{MTMT:33543678,
	title = {Runge–Kutta–Möbius methods},
	url = {https://m2.mtmt.hu/api/publication/33543678},
	author = {Molnár, András Sándor and Fekete, Imre and Söderlind, Gustaf},
	doi = {10.1007/s10998-022-00510-5},
	journal-iso = {PERIOD MATH HUNG},
	journal = {PERIODICA MATHEMATICA HUNGARICA},
	volume = {87},
	unique-id = {33543678},
	issn = {0031-5303},
	abstract = {In the numerical integration of nonlinear autonomous initial value problems, the computational process depends on the step size scaled vector field hf as a distinct entity. This paper considers a parameterized transformation \begin{aligned} hf \mapsto hf \circ (I-\gamma hf)^{-1}, \end{aligned} h f ↦ h f ∘ ( I - γ h f ) - 1 , and its role in the finite step size stability of singly diagonally implicit Runge—Kutta (SDIRK) methods. For a suitably chosen \gamma > 0 γ > 0 , the transformed map is Lipschitz continuous with a reasonably small constant, whenever hf is negative monotone. With this transformation, an SDIRK method is equivalent to an explicit Runge–Kutta (ERK) method applied to the transformed vector field. Through this mapping, the SDIRK methods’ A-stability, and linear order conditions are investigated. The latter are closely related to approximations of the exponential function \textrm{e}^z e z that are polynomial in z , when considering ERK methods, and polynomial in terms of the transformed variable z(1-\gamma z)^{-1} z ( 1 - γ z ) - 1 , in case of SDIRK methods. Considering the second family of methods, and expanding the exponential function in terms of this transformed variable, the coefficients can be expressed in terms of Laguerre polynomials. Lastly, a family of methods is constructed using the transformed vector field, and its order conditions, A-stability, and B-stability are investigated.},
	year = {2023},
	eissn = {1588-2829},
	pages = {167-181},
	orcid-numbers = {Fekete, Imre/0000-0001-8450-7631}
}

@article{MTMT:33286414,
	title = {Error estimates for a splitting integrator for abstract semilinear boundary coupled systems},
	url = {https://m2.mtmt.hu/api/publication/33286414},
	author = {Csomós, Petra and Farkas, Bálint and Kovács, Balázs},
	doi = {10.1093/imanum/drac079},
	journal-iso = {IMA J NUMER ANAL},
	journal = {IMA JOURNAL OF NUMERICAL ANALYSIS},
	volume = {43},
	unique-id = {33286414},
	issn = {0272-4979},
	year = {2023},
	eissn = {1464-3642},
	pages = {3628-3655},
	orcid-numbers = {Csomós, Petra/0000-0002-7138-8407; Kovács, Balázs/0000-0001-9872-3474}
}

@article{MTMT:33190324,
	title = {A second-order Magnus-type integrator for evolution equations with delay},
	url = {https://m2.mtmt.hu/api/publication/33190324},
	author = {Csomós, Petra and Kunszenti-Kovács, Dávid},
	doi = {10.1093/imanum/drac060},
	journal-iso = {IMA J NUMER ANAL},
	journal = {IMA JOURNAL OF NUMERICAL ANALYSIS},
	volume = {43},
	unique-id = {33190324},
	issn = {0272-4979},
	abstract = {We rewrite abstract delay equations as nonautonomous abstract Cauchy problems allowing us to introduce a Magnus-type integrator for the former. We prove the second-order convergence of the obtained Magnus-type integrator. We also show that if the differential operators involved admit a common invariant set for their generated semigroups, then the Magnus-type integrator will respect this invariant set as well, allowing for much weaker assumptions to obtain the desired convergence. As an illustrative example we consider a space-dependent epidemic model with latent period and diffusion.},
	year = {2023},
	eissn = {1464-3642},
	pages = {2965-2997},
	orcid-numbers = {Csomós, Petra/0000-0002-7138-8407; Kunszenti-Kovács, Dávid/0000-0002-1314-8528}
}

@article{MTMT:31798950,
	title = {Strengthening some complexity results on toughness of graphs},
	url = {https://m2.mtmt.hu/api/publication/31798950},
	author = {Katona, Gyula Y. and Varga, Kitti Katalin},
	doi = {10.7151/dmgt.2372},
	journal-iso = {DISCUSS MATH GRAPH T},
	journal = {DISCUSSIONES MATHEMATICAE GRAPH THEORY},
	volume = {43},
	unique-id = {31798950},
	issn = {1234-3099},
	year = {2023},
	eissn = {2083-5892},
	pages = {401-419},
	orcid-numbers = {Katona, Gyula Y./0000-0002-5119-8681}
}

@article{MTMT:33070515,
	title = {The Binding Landscape of Serum Antibodies: How Physical and Mathematical Concepts Can Advance Systems Immunology},
	url = {https://m2.mtmt.hu/api/publication/33070515},
	author = {Prechl, József and Papp, Krisztián and Kovács, Ágnes M. and Pfeil, Tamás},
	doi = {10.3390/antib11030043},
	journal-iso = {ANTIBODIES},
	journal = {ANTIBODIES},
	volume = {11},
	unique-id = {33070515},
	abstract = {Antibodies constitute a major component of serum on protein mass basis. We also know that the structural diversity of these antibodies exceeds that of all other proteins in the body and they react with an immense number of molecular targets. What we still cannot quantitatively describe is how antibody abundance is related to affinity, specificity, and cross reactivity. This ignorance has important practical consequences: we also do not have proper biochemical units for characterizing polyclonal serum antibody binding. The solution requires both a theoretical foundation, a physical model of the system, and technology for the experimental confirmation of theory. Here we argue that the quantitative characterization of interactions between serum antibodies and their targets requires systems-level physical chemistry approach and generates results that should help create maps of antibody binding landscape.},
	year = {2022},
	eissn = {2073-4468},
	orcid-numbers = {Prechl, József/0000-0003-3859-4353; Kovács, Ágnes M./0000-0002-3588-2854; Pfeil, Tamás/0000-0001-5971-3257}
}

@article{MTMT:32896186,
	title = {Linear multistep methods and global Richardson extrapolation},
	url = {https://m2.mtmt.hu/api/publication/32896186},
	author = {Fekete, Imre and Lóczi, Lajos},
	doi = {10.1016/j.aml.2022.108267},
	journal-iso = {APPL MATH LETT},
	journal = {APPLIED MATHEMATICS LETTERS},
	volume = {133},
	unique-id = {32896186},
	issn = {0893-9659},
	year = {2022},
	eissn = {1873-5452},
	orcid-numbers = {Fekete, Imre/0000-0001-8450-7631; Lóczi, Lajos/0000-0002-7999-5658}
}

@article{MTMT:32869681,
	title = {Absolute Quantitation of Serum Antibody Reactivity Using the Richards Growth Model for Antigen Microspot Titration},
	url = {https://m2.mtmt.hu/api/publication/32869681},
	author = {Papp, Krisztián and Kovács, Ágnes M. and Orosz, Anita and Hérincs, Zoltán and Randek, Judit and Liliom, Károly and Pfeil, Tamás and Prechl, József},
	doi = {10.3390/s22103962},
	journal-iso = {SENSORS-BASEL},
	journal = {SENSORS},
	volume = {22},
	unique-id = {32869681},
	year = {2022},
	eissn = {1424-8220},
	orcid-numbers = {Papp, Krisztián/0000-0003-0619-8233; Kovács, Ágnes M./0000-0002-3588-2854; Hérincs, Zoltán/0000-0001-9743-1891; Liliom, Károly/0000-0002-7177-6872; Pfeil, Tamás/0000-0001-5971-3257; Prechl, József/0000-0003-3859-4353}
}

@article{MTMT:32862432,
	title = {Qualitative Properties of Space-Dependent SIR Models with Constant Delay and Their Numerical Solutions},
	url = {https://m2.mtmt.hu/api/publication/32862432},
	author = {Takács, Bálint and Faragó, István and Horváth, Róbert and Repovš, Dušan},
	doi = {10.1515/cmam-2021-0208},
	journal-iso = {COMPUT METHODS APPL MATH},
	journal = {COMPUTATIONAL METHODS IN APPLIED MATHEMATICS},
	volume = {22},
	unique-id = {32862432},
	issn = {1609-4840},
	abstract = {In this article, a space-dependent epidemic model equipped with a constant latency period is examined. We construct a delay partial integro-differential equation and show that its solution possesses some biologically reasonable features. We propose some numerical schemes and show that, by choosing the time step to be sufficiently small, the schemes preserve the qualitative properties of the original continuous model. Finally, some numerical experiments are presented that confirm the aforementioned theoretical results.},
	year = {2022},
	eissn = {1609-9389},
	pages = {713-728},
	orcid-numbers = {Faragó, István/0000-0002-4615-7615; Repovš, Dušan/0000-0002-6643-1271}
}