TY - CHAP AU - Matebie, Teshome Bayleyegn AU - Faragó, István AU - Havasi, Ágnes ED - Nikolov, Geno ED - Georgiev, Krassimir ED - Datcheva, Maria ED - Georgiev, Ivan TI - On the Consistency and Convergence of Repeated Richardson Extrapolation T2 - Numerical Methods and Applications PB - Springer Nature Switzerland AG CY - Cham SN - 9783031324123 T3 - Lecture Notes in Computer Science, ISSN 0302-9743 ; 13858. PY - 2023 SP - 48 EP - 58 PG - 11 DO - 10.1007/978-3-031-32412-3_5 UR - https://m2.mtmt.hu/api/publication/33835027 ID - 33835027 N1 - Export Date: 22 June 2023 Correspondence Address: Faragó, I.; ELTE Eötvös Loránd University, Pázmány Péter s. 1/C, Hungary; email: faragois@gmail.com LA - English DB - MTMT ER - TY - CHAP AU - Filipov, Stefan M. AU - Faragó, István AU - Avdzhieva, Ana ED - Nikolov, Geno ED - Georgiev, Krassimir ED - Datcheva, Maria ED - Georgiev, Ivan TI - Mathematical Modelling of Nonlinear Heat Conduction with Relaxing Boundary Conditions T2 - Numerical Methods and Applications PB - Springer Nature Switzerland AG CY - Cham SN - 9783031324123 T3 - Lecture Notes in Computer Science, ISSN 0302-9743 ; 13858. PY - 2023 SP - 146 EP - 158 PG - 13 DO - 10.1007/978-3-031-32412-3_13 UR - https://m2.mtmt.hu/api/publication/33834370 ID - 33834370 N1 - Cited By :1 Export Date: 22 February 2024 Correspondence Address: Filipov, S.M.; Department of Computer Science, Bulgaria; email: sfilipov@uctm.edu LA - English DB - MTMT ER - TY - JOUR AU - Molnár, András Sándor AU - Fekete, Imre AU - Söderlind, Gustaf TI - Runge–Kutta–Möbius methods JF - PERIODICA MATHEMATICA HUNGARICA J2 - PERIOD MATH HUNG VL - 87 PY - 2023 SP - 167 EP - 181 PG - 15 SN - 0031-5303 DO - 10.1007/s10998-022-00510-5 UR - https://m2.mtmt.hu/api/publication/33543678 ID - 33543678 AB - 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. LA - English DB - MTMT ER - TY - JOUR AU - Csomós, Petra AU - Farkas, Bálint AU - Kovács, Balázs TI - Error estimates for a splitting integrator for abstract semilinear boundary coupled systems JF - IMA JOURNAL OF NUMERICAL ANALYSIS J2 - IMA J NUMER ANAL VL - 43 PY - 2023 IS - 6 SP - 3628 EP - 3655 PG - 28 SN - 0272-4979 DO - 10.1093/imanum/drac079 UR - https://m2.mtmt.hu/api/publication/33286414 ID - 33286414 LA - English DB - MTMT ER - TY - JOUR AU - Csomós, Petra AU - Kunszenti-Kovács, Dávid TI - A second-order Magnus-type integrator for evolution equations with delay JF - IMA JOURNAL OF NUMERICAL ANALYSIS J2 - IMA J NUMER ANAL VL - 43 PY - 2023 IS - 5 SP - 2965 EP - 2997 PG - 33 SN - 0272-4979 DO - 10.1093/imanum/drac060 UR - https://m2.mtmt.hu/api/publication/33190324 ID - 33190324 AB - 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. LA - English DB - MTMT ER - TY - JOUR AU - Katona, Gyula Y. AU - Varga, Kitti Katalin TI - Strengthening some complexity results on toughness of graphs JF - DISCUSSIONES MATHEMATICAE GRAPH THEORY J2 - DISCUSS MATH GRAPH T VL - 43 PY - 2023 IS - 2 SP - 401 EP - 419 PG - 19 SN - 1234-3099 DO - 10.7151/dmgt.2372 UR - https://m2.mtmt.hu/api/publication/31798950 ID - 31798950 N1 - Export Date: 20 June 2022 LA - English DB - MTMT ER - TY - JOUR AU - Prechl, József AU - Papp, Krisztián AU - Kovács, Ágnes M. AU - Pfeil, Tamás TI - The Binding Landscape of Serum Antibodies: How Physical and Mathematical Concepts Can Advance Systems Immunology JF - ANTIBODIES J2 - ANTIBODIES VL - 11 PY - 2022 IS - 3 SN - 2073-4468 DO - 10.3390/antib11030043 UR - https://m2.mtmt.hu/api/publication/33070515 ID - 33070515 N1 - R&D Laboratory, Diagnosticum Zrt, Budapest, 1047, Hungary Department of Applied Analysis and Computational Mathematics, Eötvös Loránd University, Budapest, 1117, Hungary ELKH-ELTE Numerical Analysis and Large Networks Research Group, Budapest, 1117, Hungary Export Date: 17 October 2022 Correspondence Address: Prechl, J.; R&D Laboratory, Hungary; email: jprechl@diagnosticum.hu Correspondence Address: Feil, T.P.; Department of Applied Analysis and Computational Mathematics, Hungary; email: tamas.pfeil@ttk.elte.hu AB - 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. LA - English DB - MTMT ER - TY - JOUR AU - Fekete, Imre AU - Lóczi, Lajos TI - Linear multistep methods and global Richardson extrapolation JF - APPLIED MATHEMATICS LETTERS J2 - APPL MATH LETT VL - 133 PY - 2022 PG - 6 SN - 0893-9659 DO - 10.1016/j.aml.2022.108267 UR - https://m2.mtmt.hu/api/publication/32896186 ID - 32896186 N1 - Funding Agency and Grant Number: National Research, Development and Innovation Fund of Hungary [TKP2020-NKA-06]; Janos Bolyai Research Scholarship of the Hungarian Academy of Sciences; New National Excellence Program of the Ministry for Innovation and Technology from the National Research, Development and Innovation Fund, Hungary [UNKP-21-5] Funding text: The project Application-domain specific highly reliable IT solutions has been implemented with the support provided from the National Research, Development and Innovation Fund of Hungary, financed under the Thematic Excellence Programme TKP2020-NKA-06 (National Challenges Sub programme) funding scheme. I. Fekete was supported by the Janos Bolyai Research Scholarship of the Hungarian Academy of Sciences, and also by the UNKP-21-5 New National Excellence Program of the Ministry for Innovation and Technology from the source of the National Research, Development and Innovation Fund, Hungary. LA - English DB - MTMT ER - TY - JOUR AU - Papp, Krisztián AU - Kovács, Ágnes M. AU - Orosz, Anita AU - Hérincs, Zoltán AU - Randek, Judit AU - Liliom, Károly AU - Pfeil, Tamás AU - Prechl, József TI - Absolute Quantitation of Serum Antibody Reactivity Using the Richards Growth Model for Antigen Microspot Titration JF - SENSORS J2 - SENSORS-BASEL VL - 22 PY - 2022 IS - 10 PG - 16 SN - 1424-8220 DO - 10.3390/s22103962 UR - https://m2.mtmt.hu/api/publication/32869681 ID - 32869681 N1 - R&D Laboratory, Diagnosticum Zrt, Budapest, 1047, Hungary Department of Applied Analysis and Computational Mathematics, Eötvös Loránd University, Budapest, 1117, Hungary Department of Immunology, Eötvös Loránd University, Budapest, 1117, Hungary Budapest University of Technology and Economics, Budapest, 1111, Hungary Department of Biophysics and Radiation Biology, Semmelweis University, Budapest, 1085, Hungary ELKH-ELTE Numerical Analysis and Large Networks Research Group, Budapest, 1117, Hungary Cited By :1 Export Date: 4 October 2022 Correspondence Address: Prechl, J.; R&D Laboratory, Hungary; email: jprechl@diagnosticum.hu LA - English DB - MTMT ER - TY - JOUR AU - Takács, Bálint AU - Faragó, István AU - Horváth, Róbert AU - Repovš, Dušan TI - Qualitative Properties of Space-Dependent SIR Models with Constant Delay and Their Numerical Solutions JF - COMPUTATIONAL METHODS IN APPLIED MATHEMATICS J2 - COMPUT METHODS APPL MATH VL - 22 PY - 2022 IS - 3 SP - 713 EP - 728 PG - 16 SN - 1609-4840 DO - 10.1515/cmam-2021-0208 UR - https://m2.mtmt.hu/api/publication/32862432 ID - 32862432 N1 - Funding Agency and Grant Number: NRDI Fund (TKP2020 NC) under Ministry for Innovation and Technology; Hungarian Ministry of Human Capacities OTKA grant [SNN125119]; Hungarian Ministry of Human Capacities [TKP2020-IKA-05]; Slovenian Research Agency [P1-0292, N1-0114, N1-0083, N1-0064, J1-8131] Funding text: The research by the authors B. M. Takacs, I. Farago and R. Horvath reported in this paper and carried out at BME has been supported by the NRDI Fund (TKP2020 NC, Grant No. BME-NC) based on the charter of bolster issued by the NRDI Office under the auspices of the Ministry for Innovation and Technology, and the Hungarian Ministry of Human Capacities OTKA grant SNN125119. The work of the author I. Farago was completed in the ELTE Institutional Excellence Program (TKP2020-IKA-05) financed by the Hungarian Ministry of Human Capacities. The research of the author D. Repovs reported in this paper was supported by the Slovenian Research Agency grants P1-0292, N1-0114, N1-0083, N1-0064 and J1-8131. AB - 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. LA - English DB - MTMT ER -