Mathematical Methods, Modelling and Applications
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 nov...
I tiakina i:
| Hōputu: | Online |
|---|---|
| Reo: | Ingarihi |
| I whakaputaina: |
MDPI - Multidisciplinary Digital Publishing Institute
2022
|
| Ngā marau: | |
| Urunga tuihono: | ONIX_20220706_9783036543574_53 |
| Ngā Tūtohu: |
Kāore He Tūtohu, Me noho koe te mea tuatahi ki te tūtohu i tēnei pūkete!
|
| _version_ | 1869518853272240128 |
|---|---|
| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-87458 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2022 |
| publishDateRange | 2022 |
| publishDateSort | 2022 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-874582024-03-28T03:32:18Z Mathematical Methods, Modelling and Applications Jódar, Lucas Company, Rafael mathematical modeling infiltration well differential equations porous medium fractal conductivity model incomplete rankings Kendall’s tau permutation graph competitive balance Spotify collocation volterra integral equation highly oscillatory convergence areal porosity volumetric porosity fractal area-volume relationship tortuosity factor joint probability corrugated box printing machine modified Delphi method analytic network process (ANP) supplier nonlinear system iterative method divided difference operator stability parameter plane dynamical plane random hyperbolic model random laplace transform numerical integration monte carlo method numerical simulation talbot algorithm stochastic perturbations random nonlinear oscillator maximum entropy principle probability density function stationary Gaussian noise random mean square parabolic model finite degree of randomness random finite difference scheme relativistic harmonic oscillator kinematics of a particle special relativity nonlinear problems in mechanics equations of motion in gravitational theory virus propagation stochastic modeling Gillespie algorithm conservative formulation multidimensional fragmentation equation weight functions finite volume scheme contamination plume advection-diffusion universal curves Dirichlet-to-Neumann map Schrödinger operator contagion effect difference equation elections labor condition mathematical compartmental discrete model political corruption revolving doors sensitivity analysis simulation numerical methods integro-interpolation method splitting method convergence of models standard deviation of the error diabetic retinopathy ocular fundus laser coagulation optical coherence tomography image processing segmentation safe treatment Hermite interpolation nodal systems unit circle circular membrane fluid-structure interaction differential-integral equations power series method closed-form solution time series model wavelet transform ARIMA model neural network NARX ionospheric parameters courtyard climate change microclimate Support Vector Regression (SVR) machine learning matrix functions matrix hyperbolic tangent matrix exponential Taylor series matrix polynomial evaluation n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science 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. 2022-07-06T11:50:40Z 2022-07-06T11:50:40Z 2022 book ONIX_20220706_9783036543574_53 9783036543574 9783036543581 https://directory.doabooks.org/handle/20.500.12854/87458 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/5646 https://mdpi.com/books/pdfview/book/5646 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-4358-1 10.3390/books978-3-0365-4358-1 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036543574 9783036543581 410 Basel open access |
| spellingShingle | mathematical modeling infiltration well differential equations porous medium fractal conductivity model incomplete rankings Kendall’s tau permutation graph competitive balance Spotify collocation volterra integral equation highly oscillatory convergence areal porosity volumetric porosity fractal area-volume relationship tortuosity factor joint probability corrugated box printing machine modified Delphi method analytic network process (ANP) supplier nonlinear system iterative method divided difference operator stability parameter plane dynamical plane random hyperbolic model random laplace transform numerical integration monte carlo method numerical simulation talbot algorithm stochastic perturbations random nonlinear oscillator maximum entropy principle probability density function stationary Gaussian noise random mean square parabolic model finite degree of randomness random finite difference scheme relativistic harmonic oscillator kinematics of a particle special relativity nonlinear problems in mechanics equations of motion in gravitational theory virus propagation stochastic modeling Gillespie algorithm conservative formulation multidimensional fragmentation equation weight functions finite volume scheme contamination plume advection-diffusion universal curves Dirichlet-to-Neumann map Schrödinger operator contagion effect difference equation elections labor condition mathematical compartmental discrete model political corruption revolving doors sensitivity analysis simulation numerical methods integro-interpolation method splitting method convergence of models standard deviation of the error diabetic retinopathy ocular fundus laser coagulation optical coherence tomography image processing segmentation safe treatment Hermite interpolation nodal systems unit circle circular membrane fluid-structure interaction differential-integral equations power series method closed-form solution time series model wavelet transform ARIMA model neural network NARX ionospheric parameters courtyard climate change microclimate Support Vector Regression (SVR) machine learning matrix functions matrix hyperbolic tangent matrix exponential Taylor series matrix polynomial evaluation n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Mathematical Methods, Modelling and Applications |
| title | Mathematical Methods, Modelling and Applications |
| title_full | Mathematical Methods, Modelling and Applications |
| title_fullStr | Mathematical Methods, Modelling and Applications |
| title_full_unstemmed | Mathematical Methods, Modelling and Applications |
| title_short | Mathematical Methods, Modelling and Applications |
| title_sort | mathematical methods modelling and applications |
| topic | mathematical modeling infiltration well differential equations porous medium fractal conductivity model incomplete rankings Kendall’s tau permutation graph competitive balance Spotify collocation volterra integral equation highly oscillatory convergence areal porosity volumetric porosity fractal area-volume relationship tortuosity factor joint probability corrugated box printing machine modified Delphi method analytic network process (ANP) supplier nonlinear system iterative method divided difference operator stability parameter plane dynamical plane random hyperbolic model random laplace transform numerical integration monte carlo method numerical simulation talbot algorithm stochastic perturbations random nonlinear oscillator maximum entropy principle probability density function stationary Gaussian noise random mean square parabolic model finite degree of randomness random finite difference scheme relativistic harmonic oscillator kinematics of a particle special relativity nonlinear problems in mechanics equations of motion in gravitational theory virus propagation stochastic modeling Gillespie algorithm conservative formulation multidimensional fragmentation equation weight functions finite volume scheme contamination plume advection-diffusion universal curves Dirichlet-to-Neumann map Schrödinger operator contagion effect difference equation elections labor condition mathematical compartmental discrete model political corruption revolving doors sensitivity analysis simulation numerical methods integro-interpolation method splitting method convergence of models standard deviation of the error diabetic retinopathy ocular fundus laser coagulation optical coherence tomography image processing segmentation safe treatment Hermite interpolation nodal systems unit circle circular membrane fluid-structure interaction differential-integral equations power series method closed-form solution time series model wavelet transform ARIMA model neural network NARX ionospheric parameters courtyard climate change microclimate Support Vector Regression (SVR) machine learning matrix functions matrix hyperbolic tangent matrix exponential Taylor series matrix polynomial evaluation n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | mathematical modeling infiltration well differential equations porous medium fractal conductivity model incomplete rankings Kendall’s tau permutation graph competitive balance Spotify collocation volterra integral equation highly oscillatory convergence areal porosity volumetric porosity fractal area-volume relationship tortuosity factor joint probability corrugated box printing machine modified Delphi method analytic network process (ANP) supplier nonlinear system iterative method divided difference operator stability parameter plane dynamical plane random hyperbolic model random laplace transform numerical integration monte carlo method numerical simulation talbot algorithm stochastic perturbations random nonlinear oscillator maximum entropy principle probability density function stationary Gaussian noise random mean square parabolic model finite degree of randomness random finite difference scheme relativistic harmonic oscillator kinematics of a particle special relativity nonlinear problems in mechanics equations of motion in gravitational theory virus propagation stochastic modeling Gillespie algorithm conservative formulation multidimensional fragmentation equation weight functions finite volume scheme contamination plume advection-diffusion universal curves Dirichlet-to-Neumann map Schrödinger operator contagion effect difference equation elections labor condition mathematical compartmental discrete model political corruption revolving doors sensitivity analysis simulation numerical methods integro-interpolation method splitting method convergence of models standard deviation of the error diabetic retinopathy ocular fundus laser coagulation optical coherence tomography image processing segmentation safe treatment Hermite interpolation nodal systems unit circle circular membrane fluid-structure interaction differential-integral equations power series method closed-form solution time series model wavelet transform ARIMA model neural network NARX ionospheric parameters courtyard climate change microclimate Support Vector Regression (SVR) machine learning matrix functions matrix hyperbolic tangent matrix exponential Taylor series matrix polynomial evaluation n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20220706_9783036543574_53 |