TY - JOUR AU - Vizvári, Zoltán Ákos AU - Klincsik, Mihály AU - Odry, Péter AU - Tadity, Vladimir AU - Sári, Zoltán TI - General Exact Schemes for Second-Order Linear Differential Equations Using the Concept of Local Green Functions JF - AXIOMS J2 - AXIOMS VL - 12 PY - 2023 IS - 7 PG - 16 SN - 2075-1680 DO - 10.3390/axioms12070633 UR - https://m2.mtmt.hu/api/publication/34037447 ID - 34037447 N1 - Department of Environmental Engineering, Faculty of Engineering and Information Technology, University of Pecs, Boszorkany str. 2, Pecs, H-7624, Hungary Symbolic Methods in Material Analysis and Tomography Research Group, Faculty of Engineering and Information Technology, University of Pecs, Boszorkany str. 6, Pecs, H-7624, Hungary Cellular Bioimpedance Research Group, Szentagothai Research Centre, University of Pecs, Ifjusag str. 20, Pecs, H-7624, Hungary Department of Technical Informatics, Faculty of Engineering and Information Technology, University of Pecs, Boszorkany str. 6, Pecs, H-7624, Hungary Institute of Information Technology, University of Dunaujvaros, Tancsics M. str. 1/A, Dunaujvaros, H-2401, Hungary John von Neumann Faculty of Informatics, University of Obuda, Becsi str. 96/B, Budapest, H-1034, Hungary Export Date: 7 November 2023 Correspondence Address: Vizvari, Z.; Department of Environmental Engineering, Boszorkany str. 2, Hungary; email: vizvari.zoltan@mik.pte.hu AB - In this paper, we introduce a special system of linear equations with a symmetric, tridiagonal matrix, whose solution vector contains the values of the analytical solution of the original ordinary differential equation (ODE) in grid points. Further, we present the derivation of an exact scheme for an arbitrary mesh grid and prove that its application can completely avoid other errors in discretization and numerical methods. The presented method is constructed on the basis of special local green functions, whose special properties provide the possibility to invert the differential operator of the ODE. Thus, the newly obtained results provide a general, exact solution method for the second-order ODE, which is also effective for obtaining the arbitrary grid, Dirichlet, and/or Neumann boundary conditions. Both the results obtained and the short case study confirm that the use of the exact scheme is efficient and straightforward even for ODEs with discontinuity functions. LA - English DB - MTMT ER - TY - JOUR AU - Sári, Zoltán AU - Klincsik, Mihály AU - Odry, Péter AU - Tadity, Vladimir AU - Tóth, Attila AU - Vizvári, Zoltán Ákos TI - Lumped Element Method Based Conductivity Reconstruction Algorithm for Localization Using Symmetric Discrete Operators on Coarse Meshes JF - SYMMETRY (BASEL) J2 - SYMMETRY-BASEL VL - 15 PY - 2023 IS - 5 PG - 24 SN - 2073-8994 DO - 10.3390/sym15051008 UR - https://m2.mtmt.hu/api/publication/33787514 ID - 33787514 N1 - Department of Technical Informatics, Faculty of Engineering and Information Technology, University of Pecs, Boszorkany Str. 6, Pecs, H-7624, Hungary Symbolic Methods in Material Analysis and Tomography Research Group, Faculty of Engineering and Information Technology, University of Pecs, Boszorkany Str. 6, Pecs, H-7624, Hungary Cellular Bioimpedance Research Group, Szentagothai Research Centre, University of Pecs, Ifjusag Str. 20, Pecs, H-7624, Hungary Institute of Information Technology, University of Dunaujvaros, Tancsics M. Str. 1/A, Dunaujvaros, H-2401, Hungary John von Neumann Faculty of Informatics, University of Obuda, Becsi Str. 96/B, Budapest, H-1034, Hungary Institute of Physiology, Medical School, University of Pecs, Szigeti Str. 12, Pecs, H-7624, Hungary Department of Environmental Engineering, Faculty of Engineering and Information Technology, University of Pecs, Boszorkany Str. 2, Pecs, H-7624, Hungary Cited By :1 Export Date: 7 November 2023 Correspondence Address: Vizvari, Z.; Symbolic Methods in Material Analysis and Tomography Research Group, Boszorkany Str. 6, Hungary; email: vizvari.zoltan@mik.pte.hu AB - The inverse conductivity problem in electrical impedance tomography involves the solving of a nonlinear and under-determined system of equations. This paper presents a new approach, which leads to a quadratic and overdetermined system of equations. The aim of the paper is to establish new research directions in handling of the inverse conductivity problem. The basis of the proposed method is that the material, which can be considered as an isotropic continuum, is modeled as a linear network with concentrated parameters. The weights of the obtained graph represent the properties of the discretized continuum. Further, the application of the developed procedure allows for the dielectric constant to be used in the multi-frequency approach, as a result of which the optimized system of equations always remains overdetermined. Through case studies, the efficacy of the reconstruction method by changing the mesh resolution applied for discretizing is presented and evaluated. The presented results show, that, due to the application of discrete, symmetric mathematical structures, the new approach even at coarse mesh resolution is capable of localizing the inhomogeneities of the material. LA - English DB - MTMT ER - TY - JOUR AU - Vizvári, Zoltán Ákos AU - Győrfi, Nina Rubina AU - Odry, Ákos AU - Sári, Zoltán AU - Klincsik, Mihály AU - Gergics, Marin AU - Kovács, Levente AU - Dolgosné Kovács, Anita AU - Pál, József AU - Karádi, Zoltán György AU - Odry, Péter AU - Tóth, Attila TI - Physical Validation of a Residual Impedance Rejection Method during Ultra-Low Frequency Bio-Impedance Spectral Measurements JF - SENSORS J2 - SENSORS-BASEL VL - 20 PY - 2020 IS - 17 PG - 20 SN - 1424-8220 DO - 10.3390/s20174686 UR - https://m2.mtmt.hu/api/publication/31410117 ID - 31410117 N1 - Journal Article; Validation Study Funding Agency and Grant Number: [EFOP-3.6.3-VEKOP-16-2017-00009]; [KA-2019-19]; [TUDFO/51757-1/2019-ITM] Funding text: The project has been supported by grants EFOP-3.6.3-VEKOP-16-2017-00009, KA-2019-19 and TUDFO/51757-1/2019-ITM. LA - English DB - MTMT ER - TY - CHAP AU - Nádasdi, Lili AU - Győrfi, Nina Rubina AU - Tóth, Attila AU - Klincsik, Mihály AU - Sári, Zoltán AU - Kuljic, Bojan AU - Odry, Ákos AU - Odry, Péter AU - Vizvári, Zoltán Ákos ED - Czupy, Imre TI - HATÉKONY ÉS ROBOSZTUS SAJÁT FEJLESZTÉSŰ MÓDSZER A COLE-COLE PARAMÉTEREK KINYERÉSÉRE AZ ELEKTROMOS IMPEDANCIA SPEKTRUM MÉRÉS ADATAIBÓL T2 - III. RING – FENNTARTHATÓ NYERSANYAG-GAZDÁLKODÁS - III. SUSTAINABLE RAW MATERIALS KONFERENCIAKÖTET - PROCEEDINGS PB - Soproni Egyetemi Kiadó CY - Sopron SN - 9789633343531 PY - 2019 SP - 149 EP - 156 PG - 8 UR - https://m2.mtmt.hu/api/publication/31137910 ID - 31137910 LA - Hungarian DB - MTMT ER - TY - CONF AU - Tóth, Attila AU - Vizvári, Zoltán Ákos AU - Gál, Adrián Róbert AU - Kovács, Anita AU - Mintál, Kitti AU - Klincsik, Mihály AU - Sári, Zoltán AU - Odry, Péter AU - Vereczkei, András AU - Lénárd, László AU - Karádi, Zoltán György TI - A máj zsírosodásának mérése új típusú non-invazív bioimpedancia mérőeszközzel. T2 - Magyar Élettani Társaság 2018. évi Vándorgyűlése : előadás és poszter absztraktok PY - 2018 PG - 1 UR - https://m2.mtmt.hu/api/publication/30322859 ID - 30322859 LA - Hungarian DB - MTMT ER - TY - CHAP AU - Odry, Péter AU - Mihály, Klincsik AU - Sári, Zoltán AU - Zoltán, Góbor AU - Burkus, Ervin AU - Kecskés, István AU - Király, Zoltán AU - Odry, Ákos AU - Tadity, Vladimir AU - Vizvári, Zoltán Ákos ED - Dragica, Radosav TI - Robust solutions for complex systems T2 - 7th International Conference on Applied Internet and Information Technologies (ICAIIT 2017) PB - University of Novi Sad, Technical Faculty "Mihajlo Pupin" CY - Zrenjanin SN - 9788676723041 PY - 2017 SP - 1 EP - 9 PG - 9 UR - https://m2.mtmt.hu/api/publication/3282854 ID - 3282854 AB - This material presents a comparative analysis about two systems that seemingly cannot be compared. These systems are the hexapod walking robot and tomography procedures. Their common properties can be defined the following ways: high uncertainty while creating the model, there are a lot of disturbing phenomena. So-called “inverse” solutions should be used in order to get essential descriptive information from the system. We need to use robust solutions to achieve the aforementioned goals. The robustness property will be presented through a hexapod walking robot example. LA - English DB - MTMT ER - TY - BOOK AU - Schiffer, Ádám TI - Mérésadatgyűjtés mérnöki alkalmazásokkal I. ET - 0 PB - Pécsi Tudományegyetem Műszaki és Informatikai Kar (PTE MIK) CY - Pécs PY - 2015 SP - 46 SN - 9789634290209 UR - https://m2.mtmt.hu/api/publication/3224106 ID - 3224106 LA - Hungarian DB - MTMT ER - TY - JOUR AU - Szakonyi, Lajos TI - Hőtechnikai modellezés és identifikáció a lakótérben JF - DUNAKAVICS J2 - DUNAKAVICS VL - 3 PY - 2015 IS - 8 SP - 15 EP - 29 PG - 15 SN - 2064-5007 UR - https://m2.mtmt.hu/api/publication/3000970 ID - 3000970 LA - Hungarian DB - MTMT ER - TY - CHAP AU - Szakonyi, Lajos ED - Honfi, Vid Sebestyén ED - Király, Zoltán ED - Nagy, Bálint TI - Hőtechnikai modellezés és identifikáció a lakótérben T2 - Informatikai terek PB - DUF Press CY - Dunaújváros SN - 9789639915633 T3 - Dunakavics könyvek ; 5. PY - 2015 SP - 121 EP - 133 PG - 13 UR - https://m2.mtmt.hu/api/publication/3000940 ID - 3000940 LA - Hungarian DB - MTMT ER - TY - CHAP AU - Háber, István Ervin ED - Kunkli, Roland Imre ED - Papp, Ildikó ED - Rutkovszky, Edéné TI - Gépjármű elektronika programozása RTOS rendszeren a fogyasztáscsökkentés jegyében T2 - Informatika a felsőoktatásban 2014 PB - Debreceni Egyetem Informatikai Kar CY - Debrecen SN - 9789634737124 PY - 2014 SP - 1 EP - 6 PG - 6 UR - https://m2.mtmt.hu/api/publication/3119058 ID - 3119058 LA - Hungarian DB - MTMT ER -