LEADER 06392nam 2201645z- 450 001 9910580211803321 005 20220706 035 $a(CKB)5690000000011970 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/87458 035 $a(oapen)doab87458 035 $a(EXLCZ)995690000000011970 100 $a20202207d2022 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aMathematical Methods, Modelling and Applications 210 $aBasel$cMDPI - Multidisciplinary Digital Publishing Institute$d2022 215 $a1 online resource (410 p.) 311 08$a3-0365-4357-0 311 08$a3-0365-4358-9 330 $aThis volume deals with novel high-quality research results of a wide class of mathematical models with applications in engineering, nature, and social sciences. Analytical and numeric, deterministic and uncertain dimensions are treated. Complex and multidisciplinary models are treated, including novel techniques of obtaining observation data and pattern recognition. Among the examples of treated problems, we encounter problems in engineering, social sciences, physics, biology, and health sciences. The novelty arises with respect to the mathematical treatment of the problem. Mathematical models are built, some of them under a deterministic approach, and other ones taking into account the uncertainty of the data, deriving random models. Several resulting mathematical representations of the models are shown as equations and systems of equations of different types: difference equations, ordinary differential equations, partial differential equations, integral equations, and algebraic equations. Across the chapters of the book, a wide class of approaches can be found to solve the displayed mathematical models, from analytical to numeric techniques, such as finite difference schemes, finite volume methods, iteration schemes, and numerical integration methods. 606 $aMathematics and Science$2bicssc 606 $aResearch and information: general$2bicssc 610 $aadvection-diffusion 610 $aanalytic network process (ANP) 610 $aareal porosity 610 $aARIMA model 610 $acircular membrane 610 $aclimate change 610 $aclosed-form solution 610 $acollocation 610 $acompetitive balance 610 $aconservative formulation 610 $acontagion effect 610 $acontamination plume 610 $aconvergence 610 $aconvergence of models 610 $acorrugated box printing machine 610 $acourtyard 610 $adiabetic retinopathy 610 $adifference equation 610 $adifferential equations 610 $adifferential-integral equations 610 $aDirichlet-to-Neumann map 610 $adivided difference operator 610 $adynamical plane 610 $aelections 610 $aequations of motion in gravitational theory 610 $afinite degree of randomness 610 $afinite volume scheme 610 $afluid-structure interaction 610 $afractal area-volume relationship 610 $afractal conductivity model 610 $aGillespie algorithm 610 $aHermite interpolation 610 $ahighly oscillatory 610 $aimage processing 610 $aincomplete rankings 610 $ainfiltration well 610 $aintegro-interpolation method 610 $aionospheric parameters 610 $aiterative method 610 $ajoint probability 610 $aKendall's tau 610 $akinematics of a particle 610 $alabor condition 610 $alaser coagulation 610 $amachine learning 610 $amathematical compartmental discrete model 610 $amathematical modeling 610 $amatrix exponential 610 $amatrix functions 610 $amatrix hyperbolic tangent 610 $amatrix polynomial evaluation 610 $amaximum entropy principle 610 $amicroclimate 610 $amodified Delphi method 610 $amonte carlo method 610 $amultidimensional fragmentation equation 610 $an/a 610 $aneural network NARX 610 $anodal systems 610 $anonlinear problems in mechanics 610 $anonlinear system 610 $anumerical integration 610 $anumerical methods 610 $anumerical simulation 610 $aocular fundus 610 $aoptical coherence tomography 610 $aparameter plane 610 $apermutation graph 610 $apolitical corruption 610 $aporous medium 610 $apower series method 610 $aprobability density function 610 $arandom finite difference scheme 610 $arandom hyperbolic model 610 $arandom laplace transform 610 $arandom mean square parabolic model 610 $arandom nonlinear oscillator 610 $arelativistic harmonic oscillator 610 $arevolving doors 610 $asafe treatment 610 $aSchro?dinger operator 610 $asegmentation 610 $asensitivity analysis 610 $asimulation 610 $aspecial relativity 610 $asplitting method 610 $aSpotify 610 $astability 610 $astandard deviation of the error 610 $astationary Gaussian noise 610 $astochastic modeling 610 $astochastic perturbations 610 $asupplier 610 $aSupport Vector Regression (SVR) 610 $atalbot algorithm 610 $aTaylor series 610 $atime series model 610 $atortuosity factor 610 $aunit circle 610 $auniversal curves 610 $avirus propagation 610 $avolterra integral equation 610 $avolumetric porosity 610 $awavelet transform 610 $aweight functions 615 7$aMathematics and Science 615 7$aResearch and information: general 700 $aJo?dar$b Lucas$4edt$01304522 702 $aCompany$b Rafael$4edt 702 $aJo?dar$b Lucas$4oth 702 $aCompany$b Rafael$4oth 906 $aBOOK 912 $a9910580211803321 996 $aMathematical Methods, Modelling and Applications$93027522 997 $aUNINA