Mathematical Methods, Modelling and Applications

• Format: eBook
• Language: English
• Published: Basel MDPI - Multidisciplinary Digital Publishing Institute 2022
• Subjects: advection-diffusion; analytic network process (ANP); areal porosity; ARIMA model; circular membrane; climate change; closed-form solution; collocation; competitive balance; conservative formulation; contagion effect; contamination plume; convergence; convergence of models; corrugated box printing machine; courtyard; diabetic retinopathy; difference equation; differential equations; differential-integral equations; Dirichlet-to-Neumann map; divided difference operator; dynamical plane; elections; equations of motion in gravitational theory; finite degree of randomness; finite volume scheme; fluid-structure interaction; fractal area-volume relationship; fractal conductivity model; Gillespie algorithm; Hermite interpolation; highly oscillatory; image processing; incomplete rankings; infiltration well; integro-interpolation method; ionospheric parameters; iterative method; joint probability; Kendall’s tau; kinematics of a particle; labor condition; laser coagulation; machine learning; mathematical compartmental discrete model; mathematical modeling; Mathematics and Science; matrix exponential; matrix functions; matrix hyperbolic tangent; matrix polynomial evaluation; maximum entropy principle; microclimate; modified Delphi method; monte carlo method; multidimensional fragmentation equation; n/a; neural network NARX; nodal systems; nonlinear problems in mechanics; nonlinear system; numerical integration; numerical methods; numerical simulation; ocular fundus; optical coherence tomography; parameter plane; permutation graph; political corruption; porous medium; power series method; probability density function; random finite difference scheme; random hyperbolic model; random laplace transform; random mean square parabolic model; random nonlinear oscillator; Reference, Information and Interdisciplinary subjects; relativistic harmonic oscillator; Research and information: general; revolving doors; safe treatment; Schrödinger operator; segmentation; sensitivity analysis; simulation; special relativity; splitting method; Spotify; stability; standard deviation of the error; stationary Gaussian noise; stochastic modeling; stochastic perturbations; supplier; Support Vector Regression (SVR); talbot algorithm; Taylor series; time series model; tortuosity factor; unit circle; universal curves; virus propagation; volterra integral equation; volumetric porosity; wavelet transform; weight functions
• ISBN: 9783036543581; 3036543570; 3036543589; 9783036543574
• DOI: 10.3390/books978-3-0365-4358-1

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.