TY - BOOK ID - 133855098 TI - Mathematical Methods, Modelling and Applications AU - Jódar, Lucas AU - Company, Rafael PY - 2022 PB - Basel MDPI - Multidisciplinary Digital Publishing Institute DB - UniCat KW - Research & information: general KW - Mathematics & science KW - mathematical modeling KW - infiltration well KW - differential equations KW - porous medium KW - fractal conductivity model KW - incomplete rankings KW - Kendall’s tau KW - permutation graph KW - competitive balance KW - Spotify KW - collocation KW - volterra integral equation KW - highly oscillatory KW - convergence KW - areal porosity KW - volumetric porosity KW - fractal area-volume relationship KW - tortuosity factor KW - joint probability KW - corrugated box printing machine KW - modified Delphi method KW - analytic network process (ANP) KW - supplier KW - nonlinear system KW - iterative method KW - divided difference operator KW - stability KW - parameter plane KW - dynamical plane KW - random hyperbolic model KW - random laplace transform KW - numerical integration KW - monte carlo method KW - numerical simulation KW - talbot algorithm KW - stochastic perturbations KW - random nonlinear oscillator KW - maximum entropy principle KW - probability density function KW - stationary Gaussian noise KW - random mean square parabolic model KW - finite degree of randomness KW - random finite difference scheme KW - relativistic harmonic oscillator KW - kinematics of a particle KW - special relativity KW - nonlinear problems in mechanics KW - equations of motion in gravitational theory KW - virus propagation KW - stochastic modeling KW - Gillespie algorithm KW - conservative formulation KW - multidimensional fragmentation equation KW - weight functions KW - finite volume scheme KW - contamination plume KW - advection-diffusion KW - universal curves KW - Dirichlet-to-Neumann map KW - Schrödinger operator KW - contagion effect KW - difference equation KW - elections KW - labor condition KW - mathematical compartmental discrete model KW - political corruption KW - revolving doors KW - sensitivity analysis KW - simulation KW - numerical methods KW - integro-interpolation method KW - splitting method KW - convergence of models KW - standard deviation of the error KW - diabetic retinopathy KW - ocular fundus KW - laser coagulation KW - optical coherence tomography KW - image processing KW - segmentation KW - safe treatment KW - Hermite interpolation KW - nodal systems KW - unit circle KW - circular membrane KW - fluid-structure interaction KW - differential-integral equations KW - power series method KW - closed-form solution KW - time series model KW - wavelet transform KW - ARIMA model KW - neural network NARX KW - ionospheric parameters KW - courtyard KW - climate change KW - microclimate KW - Support Vector Regression (SVR) KW - machine learning KW - matrix functions KW - matrix hyperbolic tangent KW - matrix exponential KW - Taylor series KW - matrix polynomial evaluation KW - n/a KW - Kendall's tau KW - Schrödinger operator UR - https://www.unicat.be/uniCat?func=search&query=sysid:133855098 AB - This 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. ER -