Mathematical modeling of ecological conditions of natural objects of the environment
DOI:
https://doi.org/10.15407/visn2021.11.043Keywords:
mathematical modeling, ecological problems, heterogeneous media, complex processes, natural environment, automated systemsAbstract
The paper is devoted to fundamental and applied research of the V.M. Glushkov Institute of Cybernetics of NAS of Ukraine in solving the problems of risk analysis of emergencies and safety of ecological systems, studying and forecasting the complex dynamic processes in heterogeneous media, development of mathematical modeling methods and numerical algorithms, implementation of highly reliable systems for information protection and automated systems for mathematical modeling of the states of natural objects. The Institute’s highly qualified staff and powerful computing resources provide conditions for reliable solving of complex scientific problems. Brief historical information on events of the Chernobyl accident directly related to the described research works is also presented.
References
Mikhalevich V.S., Janenko V.M., Atoev K.L. System analysis of mechanisms of organism's defensive functions regulation. In: Mohler R., Asahenkov A. (eds) Selected Topics on Mathematical Models in Immunology and Medicine. Laxenburg: IIASA, 1990. P. 137—145.
Sergienko I.V., Yanenko V.M., Atoev K.L. Optimal control of the immune response synchronizing the various regulatory compartments of the immune system. II. Identification of model parameters and missing data recovery. Cybernetics and Systems Analysis. 1997. 33(1): 131—144. DOI: https://doi.org/10.1007/BF02665951
Sergienko I.V., Yanenko V.M., Atoev K.L. A conceptual framework for managing the risk of ecological, technogenic, and sociogenic disasters. Cybernetics and Systems Analysis. 1997. 33(2): 203—219. DOI: https://doi.org/10.1007/BF02665894
International Atomic Energy Agency, Safety of Nuclear Power Plants: Design, Safety. Standards Series No. NS-G-1.2, IAEA, Vienna, 2000.
Kovalenko I.N. Approximation of Queues via Small-Parameter Method. Advances in Queueing. CRC Press, Boca Raton, 1995. P. 481—506.
Kovalenko I.N., Kuznetsov N.Yu., Pegg Ph.A. Mathematical Theory of Reliability of Time Dependent Systems with Practical Applications.Wiley, Chichester, 1997.
Kovalenko I.N. Light-traffic analysis of some queueing models with losses. In: Simulation and Optimization Methods in Risk and Reliability Theory. Nova Science Publishers, Inc, 2009, P. 19—44.
Golodnikov A.N., Knopov P.S., Pepelyaev V.A. Estimation of Reliability Parameters Under Incomplete Primary Information. Theory and Decision. 2004. 57(4): 331—344. DOI: https://doi.org/10.1007/s11238-005-3217-9
Knopov P.S., Pardalos P.M. Simulation and Optimization Methods in Risk and Reliability Theory. Nova Science Publishers, Inc., 2009.
Golodnikov A., Knopov P., Pepelyaev V. Investigation of Bayesian Estimates for Binomial Failure Models. In: Simulation and Optimization Methods in Risk and Reliability Theory. Nova Science Publishers Inc., 2009. P. 173—220.
Golodnikov A.N., Ermoliev Y.M., Knopov P.S. Estimating reliability parameters under insufficient information. Cybernetics and Systems Analysis. 2010. 46(3): 443—459. DOI: https://doi.org/10.1007/s10559-010-9219-9
Sergienko I.V., Skopetsky V.V., Deineka V.S. Matematicheskoye modelirovaniye i issledovaniye fizicheskikh protsessov v neodnorodnykh sredakh. Kyiv: Naukova Dumka, 1991 (in Russian).
Deineka V.S., Sergienko I.V., Skopetsky V.V. Modeli i metody resheniya zadach s usloviyami sopryazheniya. Kyiv: Naukova Dumka, 1998 (in Russian)
Deineka V.S., Sergienko I.V. Modeli i metody resheniya zadach v neodnorodnykh sredakh. Kyiv: Naukova Dumka, 2001 (in Russian).
Sergienko I.V., Deineka V.S. Optimal Control of Distributed Systems with Conjugation Conditions. N. Y.: Kluwer Academic Publishers, 2005.
Sergienko I.V. Methods of optimization and systems analysis for problems of transcomputational complexity. New York, Heidelberg, Dordrecht, London: Springer, 2012.
Sergienko I.V. Mathematical and program modelling of complicated systems using supercomputer technologies. Visn. Nac. Akad. Nauk Ukr. 2018. (3): 39—48. DOI: https://doi.org/10.15407/visn2018.03.039
Deineka V.S., Sergienko I.V., Skopetsky V.V. Matematicheskiye modeli i metody rascheta zadach z razryvnymi resheniyami. Kyiv: Naukova Dumka, 1995 (in Russian).
Khimich A.N., Molchanov I.N., Popov A.V., Chistyakova T.V., Yakovlev M.F. Parallel'nyye algoritmy resheniya zadach vychislitel'noy matematiki. Kyiv: Naukova Dumka, 2008 (in Russian).
Khimich A., Nikolaevskaya E., Chistyakova T. Programming with Multiple Precision. Studies in Computational Intelligence. Springer-Verlag. Berlin, Heidelberg, 2012.
Sergienko I.V., Khimich O.M., Petryk M.R., Kane D., Mykhalyk D.M., Leklerk S., Fresar Zh. Matematychne modelyuvannya masoperenosu v seredovyshchakh chastynok nanoporystoi struktury. Kyiv, 2014 (in Ukrainian).
Baranov A.Y., Bilous M.V., Sergienko I.V., Khimich A.N. Hybrid Algorithms to Solve Linear Systems for Finite-Element Modeling of Filtration Processes. Cybernetics and Systems Analysis. 2015. 51(4): 594—602. DOI: https://doi.org/10.1007/s10559-015-9750-9
Khimich A.N., Popov A.V., Chistyakov O.V. Hybrid Algorithms for Solving the Algebraic Eigenvalue Problem with Sparse Matrices. Cybernetics and Systems Analysis. 2017. 53(6): 937—949. DOI: https://doi.org/10.1007/s10559-017-9996-5
Bilous M.V. Finite element solver Nadra-3D. Cluster Computing: Proc. II Int. Conf. (3-5 June 2013, Lviv, Ukraine). P.40—47.
Sergienko I.V., Deineka V.S., Shestopalov V.M. et al. In: Zagorodniy A.G., Yermolyev Yu.M., Bogdanov V.L. (eds) Integrated Management, Security, and Robustness. Kyiv: Akademperiodyka, 2015. P. 114—125 (in Ukrainian).
Bilous M.V. Information technology for simulation of spatial dynamics of groundwater in naturally complex geological environments. Visn. Nac. Akad. Nauk Ukr. 2015. (6): 68—73. DOI: https://doi.org/10.15407/visn2015.06.068
Kovalenko I.N., Kochubinskii A.I. Asymmetric Cryptographic Algorithms. Cybernetics and Systems Analysis. 2003. 39(4): 549—554. DOI: https://doi.org/10.1023/B:CASA.0000003504.91987.d9
Zadiraka V.K., Oleksyuk O.S. Kompyuterna aryfmetyka bahatorozryadnykh chysel. Kyiv, 2003 (in Ukrainian).
Glushkov V.M. Vvedeniye v ASU. Kyiv: Tekhnika, 1972 (in Russian).
Sergienko I.V., Deineka V.S. Sistemnyy analiz mnogokomponentnykh raspredelennykh sistem. Kyiv: Naukova Dumka, 2009 (in Russian).
Lavrik V.I., Kalenchuk-Porkhanova A.A. In: Diagnosis of the state of the ecosystem of the Black Sea and the zone of conjugation of land and sea: Proc. Sci. Conf. (1997, Sevastopol, Ukraine). P. 88–89 (in Russian).
Kalenchuk-Porkhanova A.A. In: 50 years of V.M. Glushkov Institute of Cybernetics of the National Academy of Sciences of Ukraine. (2008, Kyiv, Ukraine). P. 354—361 (in Russian).
Glushkov V.M. Osnovnyye printsipy postroyeniya avtomatizirovannykh sistem upravleniya. Moscow, 1969 (in Russian).
Sergienko I.V., Shilo V.P. Zadachi diskretnoy optimizatsii: problemy, metody resheniya, issledovaniya. Kyiv: Naukova Dumka, 2003 (in Russian).
Kalenchuk-Porkhanova A.A. Modeling Flow States in Water Bodies. Cybernetics and Systems Analysis. 2019. 55(4): 683—691. DOI: https://doi.org/10.1007/s10559-019-00178-9
Fedorov O.P. On the target complex program of NAS of Ukraine “Aerospace environmental surveillance for sustainable development and security as a national segment of Horizon-2020 ERA-PLANET project”. Visn. Nac. Akad. Nauk Ukr. 2017. (12): 35—41. DOI: https://doi.org/10.15407/visn2017.12.035
Kussul N., Lavreniuk M., Kolotii A., Skakun S., Rakoid O., Shumilo L. A workflow for Sustainable Development Goals indicators assessment based on high-resolution satellite data. International Journal of Digital Earth. 2020. 13(2): 309—321. DOI: https://doi.org/10.1080/17538947.2019.1610807
The Urban Atlas. https://data.europa.eu/data/datasets/data_urban-atlas
Atmosphere Monitoring Service. Implemented by ECMWF as part of The Copernicus Programme. https://atmosphere.copernicus.eu/
Tulchinsky V.G., Lavrenyuk S.I., Roganov V.Y., Tulchinsky P.G. In: GEO-UA: Proc. VI conf. (September 18-19, 2018, Kyiv). P. 5—27 (in Ukrainian).
Kalenchuk-Porkhanova A., Tulchinsky V. Solving Environmental Problems According to the Concept of Sustainable Development of the Earth. Cybernetics and Systems Analysis. 2021. 57(4): 638—646. DOI: https://doi.org/10.1007/s10559-021-00389-z
Sergienko I.V., Khimich A.N. Mathematical modeling: from MESM to exaflops. Visn. Nac. Akad. Nauk Ukr. 2019. (8): 37—50. DOI: https://doi.org/10.15407/visn2019.08.037
