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Article
Etude biogéochimique d'un lac méromictique : le lac Pavin, France

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Book
Aero/Hydrodynamics and Symmetry
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Year: 2020 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

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Abstract

This book presents collective works published in the recent Special Issue (SI) entitled "Aero/Hydrodynamics and Symmetry". These works address the existence of symmetry and its breakdown in aero-/hydro-dynamics and their related applications. The presented problems are complex nonlinear, non-Newtonian fluid flow problems that are (in some cases) coupled with heat transfer, phase change, nanofluidic, and magnetohydrodynamics phenomena. The applications vary and range from polymer chain transfer in micro-channel to the evaluation of vertical axis wind turbines, as well as autonomous underwater hovering vehicles. Recent advances in numerical, theoretical, and experimental methodologies, as well as finding new physics, new methodological developments, and their limitations are presented within the scope of the current book. Among others, in the presented works, special attention is paid to validation and improving the accuracy of the presented methodologies. This book brings together a collection of inter-/multi-disciplinary works applied to many engineering applications in a coherent manner.

Keywords

History of engineering & technology --- Savonius vertical axis wind turbine --- horizontal overlap ratio --- vertical overlap ratio --- torque coefficient --- power coefficient --- Advection–diffusion --- fractional derivative --- concentrated source --- integral transform --- Burgers’ fluid --- velocity field --- shear stress --- Laplace transform --- modified Bessel function --- Stehfest’s algorithm --- MATHCAD --- electroosmotic flow --- power law fluid --- nanoparticles --- MHD --- entropy generation --- convergence analysis --- residual error --- autonomous underwater vehicle (AUV) --- airborne-launched AUV --- autonomous underwater hovering vehicle (AUH) --- water entry impact force --- computational fluid dynamics (CFD) --- two-phase flow --- Autonomous Underwater Vehicle (AUV) --- Autonomous Underwater Hovering Vehicle (AUH) --- hydrodynamic interaction --- response amplitude operator (RAO) --- wave effects --- symmetric flying wing --- plasma flow control --- energy --- stall --- dimensionless frequency --- particle image velocimetry --- SA–NaAlg fluid --- porosity --- fractional model --- Atangana–Baleanu derivative --- large eddy simulation --- subgrid scale model --- diffuser --- dynamic one equation model --- Vreman model --- separation --- heat conduction --- non-fourier --- solution structure theorems --- superposition approach --- Buongiorno model --- unsteady flow --- nanoliquid --- special third-grade liquid --- non-linear thermal radiation --- magneto hydro-dynamics (MHD) --- dissipative particle dynamics (DPD) --- Hartmann number (Ha-value) --- harmony bond coefficient or spring constant (K)


Book
Sustainable Environmental Solutions
Authors: ---
Year: 2021 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

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Abstract

This book collects research activities focused on the development of new processes to replace obsolete practices that are often highly invasive, unsustainable, and socially unacceptable.Taking inspiration from real problems and the need to face real cases of contamination or prevent potentially harmful situations, the development and optimization of ‘smart’ solutions, i.e., sustainable not only from an environmental point of view but also economically, are discussed in order to encourage, as much as possible, their actual implementation.

Keywords

Environmental science, engineering & technology --- water resources --- virtual water trade --- input-output method --- Gansu province --- ecological consumption --- influencing factors --- panel regressions --- ecological footprint --- innovative envelope --- building components --- green roofs --- indoor comfort --- energy consumption --- building modelling --- simulation models --- chitosan --- chromium --- heavy metals --- adsorption --- kinetics --- low-cost adsorbent --- tannery --- ion exchange --- nanobubbles --- contaminated soil --- electrokinetic --- in situ --- remediation --- Spinacia oleracea microbiota --- electrochemically activated solution --- peroxyacetic acid --- sanitization --- 16s rRNA pyrosequencing --- amplicon sequence variants --- alpha diversity --- bacterial community composition --- sedimentation --- drag --- fractal aggregates --- shear-thinning --- non-Newtonian fluids --- suspensions --- numerical simulations --- environmental impact --- waste management --- industrial production --- investment project --- risk evaluation --- multicriterial approach --- production planning --- carbon regulation --- reconditioning --- green logistics --- optimization --- drinking water treatment plant --- advection–diffusion–reaction --- chlorine dosage --- simulator validation --- industrial application --- biodegradation --- dehalogenase-producing bacteria --- haloalkanoic acids --- trichloroacetic acid --- 16S rRNA --- Lysinibacillus --- building energy efficiency --- European environmental brands --- tourism sector --- agritourism --- nearly zero energy buildings (nZEB) --- submerged marine debris --- economic valuation --- contingent valuation --- economic benefit --- willingness to pay --- proecological behavior --- circular economy --- environmental management --- survey --- nonparametric methods --- serpentinite --- magnesium oxide --- calcination --- particle size distribution --- specific surface area --- magnesium potassium phosphate matrix --- radioactive waste --- immobilization --- hydrolytic stability --- strength --- pH-neutral electrochemically activated solution --- total bacterial count --- Salmonella Enteritidis --- egg cuticle integrity --- soil remediation --- soil contamination --- greenhouse --- phytoextraction --- mobilizing agents --- photosynthetic efficiency --- photovoltaics --- luminescent dyes --- energy savings --- sustainability --- cork–graphite electrode --- electrochemistry --- lead --- environmental application --- environmental pollution and remediation --- hazardous waste management --- soil and water reclamation --- nanomaterials --- sustainable processes


Book
Sustainable Environmental Solutions
Authors: ---
Year: 2021 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

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Abstract

This book collects research activities focused on the development of new processes to replace obsolete practices that are often highly invasive, unsustainable, and socially unacceptable.Taking inspiration from real problems and the need to face real cases of contamination or prevent potentially harmful situations, the development and optimization of ‘smart’ solutions, i.e., sustainable not only from an environmental point of view but also economically, are discussed in order to encourage, as much as possible, their actual implementation.

Keywords

water resources --- virtual water trade --- input-output method --- Gansu province --- ecological consumption --- influencing factors --- panel regressions --- ecological footprint --- innovative envelope --- building components --- green roofs --- indoor comfort --- energy consumption --- building modelling --- simulation models --- chitosan --- chromium --- heavy metals --- adsorption --- kinetics --- low-cost adsorbent --- tannery --- ion exchange --- nanobubbles --- contaminated soil --- electrokinetic --- in situ --- remediation --- Spinacia oleracea microbiota --- electrochemically activated solution --- peroxyacetic acid --- sanitization --- 16s rRNA pyrosequencing --- amplicon sequence variants --- alpha diversity --- bacterial community composition --- sedimentation --- drag --- fractal aggregates --- shear-thinning --- non-Newtonian fluids --- suspensions --- numerical simulations --- environmental impact --- waste management --- industrial production --- investment project --- risk evaluation --- multicriterial approach --- production planning --- carbon regulation --- reconditioning --- green logistics --- optimization --- drinking water treatment plant --- advection–diffusion–reaction --- chlorine dosage --- simulator validation --- industrial application --- biodegradation --- dehalogenase-producing bacteria --- haloalkanoic acids --- trichloroacetic acid --- 16S rRNA --- Lysinibacillus --- building energy efficiency --- European environmental brands --- tourism sector --- agritourism --- nearly zero energy buildings (nZEB) --- submerged marine debris --- economic valuation --- contingent valuation --- economic benefit --- willingness to pay --- proecological behavior --- circular economy --- environmental management --- survey --- nonparametric methods --- serpentinite --- magnesium oxide --- calcination --- particle size distribution --- specific surface area --- magnesium potassium phosphate matrix --- radioactive waste --- immobilization --- hydrolytic stability --- strength --- pH-neutral electrochemically activated solution --- total bacterial count --- Salmonella Enteritidis --- egg cuticle integrity --- soil remediation --- soil contamination --- greenhouse --- phytoextraction --- mobilizing agents --- photosynthetic efficiency --- photovoltaics --- luminescent dyes --- energy savings --- sustainability --- cork–graphite electrode --- electrochemistry --- lead --- environmental application --- environmental pollution and remediation --- hazardous waste management --- soil and water reclamation --- nanomaterials --- sustainable processes


Book
Aero/Hydrodynamics and Symmetry
Author:
Year: 2020 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

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Bookmark

Abstract

This book presents collective works published in the recent Special Issue (SI) entitled "Aero/Hydrodynamics and Symmetry". These works address the existence of symmetry and its breakdown in aero-/hydro-dynamics and their related applications. The presented problems are complex nonlinear, non-Newtonian fluid flow problems that are (in some cases) coupled with heat transfer, phase change, nanofluidic, and magnetohydrodynamics phenomena. The applications vary and range from polymer chain transfer in micro-channel to the evaluation of vertical axis wind turbines, as well as autonomous underwater hovering vehicles. Recent advances in numerical, theoretical, and experimental methodologies, as well as finding new physics, new methodological developments, and their limitations are presented within the scope of the current book. Among others, in the presented works, special attention is paid to validation and improving the accuracy of the presented methodologies. This book brings together a collection of inter-/multi-disciplinary works applied to many engineering applications in a coherent manner.

Keywords

Savonius vertical axis wind turbine --- horizontal overlap ratio --- vertical overlap ratio --- torque coefficient --- power coefficient --- Advection–diffusion --- fractional derivative --- concentrated source --- integral transform --- Burgers’ fluid --- velocity field --- shear stress --- Laplace transform --- modified Bessel function --- Stehfest’s algorithm --- MATHCAD --- electroosmotic flow --- power law fluid --- nanoparticles --- MHD --- entropy generation --- convergence analysis --- residual error --- autonomous underwater vehicle (AUV) --- airborne-launched AUV --- autonomous underwater hovering vehicle (AUH) --- water entry impact force --- computational fluid dynamics (CFD) --- two-phase flow --- Autonomous Underwater Vehicle (AUV) --- Autonomous Underwater Hovering Vehicle (AUH) --- hydrodynamic interaction --- response amplitude operator (RAO) --- wave effects --- symmetric flying wing --- plasma flow control --- energy --- stall --- dimensionless frequency --- particle image velocimetry --- SA–NaAlg fluid --- porosity --- fractional model --- Atangana–Baleanu derivative --- large eddy simulation --- subgrid scale model --- diffuser --- dynamic one equation model --- Vreman model --- separation --- heat conduction --- non-fourier --- solution structure theorems --- superposition approach --- Buongiorno model --- unsteady flow --- nanoliquid --- special third-grade liquid --- non-linear thermal radiation --- magneto hydro-dynamics (MHD) --- dissipative particle dynamics (DPD) --- Hartmann number (Ha-value) --- harmony bond coefficient or spring constant (K)


Book
Sustainable Environmental Solutions
Authors: ---
Year: 2021 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

Loading...
Export citation

Choose an application

Bookmark

Abstract

This book collects research activities focused on the development of new processes to replace obsolete practices that are often highly invasive, unsustainable, and socially unacceptable.Taking inspiration from real problems and the need to face real cases of contamination or prevent potentially harmful situations, the development and optimization of ‘smart’ solutions, i.e., sustainable not only from an environmental point of view but also economically, are discussed in order to encourage, as much as possible, their actual implementation.

Keywords

Environmental science, engineering & technology --- water resources --- virtual water trade --- input-output method --- Gansu province --- ecological consumption --- influencing factors --- panel regressions --- ecological footprint --- innovative envelope --- building components --- green roofs --- indoor comfort --- energy consumption --- building modelling --- simulation models --- chitosan --- chromium --- heavy metals --- adsorption --- kinetics --- low-cost adsorbent --- tannery --- ion exchange --- nanobubbles --- contaminated soil --- electrokinetic --- in situ --- remediation --- Spinacia oleracea microbiota --- electrochemically activated solution --- peroxyacetic acid --- sanitization --- 16s rRNA pyrosequencing --- amplicon sequence variants --- alpha diversity --- bacterial community composition --- sedimentation --- drag --- fractal aggregates --- shear-thinning --- non-Newtonian fluids --- suspensions --- numerical simulations --- environmental impact --- waste management --- industrial production --- investment project --- risk evaluation --- multicriterial approach --- production planning --- carbon regulation --- reconditioning --- green logistics --- optimization --- drinking water treatment plant --- advection–diffusion–reaction --- chlorine dosage --- simulator validation --- industrial application --- biodegradation --- dehalogenase-producing bacteria --- haloalkanoic acids --- trichloroacetic acid --- 16S rRNA --- Lysinibacillus --- building energy efficiency --- European environmental brands --- tourism sector --- agritourism --- nearly zero energy buildings (nZEB) --- submerged marine debris --- economic valuation --- contingent valuation --- economic benefit --- willingness to pay --- proecological behavior --- circular economy --- environmental management --- survey --- nonparametric methods --- serpentinite --- magnesium oxide --- calcination --- particle size distribution --- specific surface area --- magnesium potassium phosphate matrix --- radioactive waste --- immobilization --- hydrolytic stability --- strength --- pH-neutral electrochemically activated solution --- total bacterial count --- Salmonella Enteritidis --- egg cuticle integrity --- soil remediation --- soil contamination --- greenhouse --- phytoextraction --- mobilizing agents --- photosynthetic efficiency --- photovoltaics --- luminescent dyes --- energy savings --- sustainability --- cork–graphite electrode --- electrochemistry --- lead --- environmental application --- environmental pollution and remediation --- hazardous waste management --- soil and water reclamation --- nanomaterials --- sustainable processes


Book
Aero/Hydrodynamics and Symmetry
Author:
Year: 2020 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

Loading...
Export citation

Choose an application

Bookmark

Abstract

This book presents collective works published in the recent Special Issue (SI) entitled "Aero/Hydrodynamics and Symmetry". These works address the existence of symmetry and its breakdown in aero-/hydro-dynamics and their related applications. The presented problems are complex nonlinear, non-Newtonian fluid flow problems that are (in some cases) coupled with heat transfer, phase change, nanofluidic, and magnetohydrodynamics phenomena. The applications vary and range from polymer chain transfer in micro-channel to the evaluation of vertical axis wind turbines, as well as autonomous underwater hovering vehicles. Recent advances in numerical, theoretical, and experimental methodologies, as well as finding new physics, new methodological developments, and their limitations are presented within the scope of the current book. Among others, in the presented works, special attention is paid to validation and improving the accuracy of the presented methodologies. This book brings together a collection of inter-/multi-disciplinary works applied to many engineering applications in a coherent manner.

Keywords

History of engineering & technology --- Savonius vertical axis wind turbine --- horizontal overlap ratio --- vertical overlap ratio --- torque coefficient --- power coefficient --- Advection–diffusion --- fractional derivative --- concentrated source --- integral transform --- Burgers’ fluid --- velocity field --- shear stress --- Laplace transform --- modified Bessel function --- Stehfest’s algorithm --- MATHCAD --- electroosmotic flow --- power law fluid --- nanoparticles --- MHD --- entropy generation --- convergence analysis --- residual error --- autonomous underwater vehicle (AUV) --- airborne-launched AUV --- autonomous underwater hovering vehicle (AUH) --- water entry impact force --- computational fluid dynamics (CFD) --- two-phase flow --- Autonomous Underwater Vehicle (AUV) --- Autonomous Underwater Hovering Vehicle (AUH) --- hydrodynamic interaction --- response amplitude operator (RAO) --- wave effects --- symmetric flying wing --- plasma flow control --- energy --- stall --- dimensionless frequency --- particle image velocimetry --- SA–NaAlg fluid --- porosity --- fractional model --- Atangana–Baleanu derivative --- large eddy simulation --- subgrid scale model --- diffuser --- dynamic one equation model --- Vreman model --- separation --- heat conduction --- non-fourier --- solution structure theorems --- superposition approach --- Buongiorno model --- unsteady flow --- nanoliquid --- special third-grade liquid --- non-linear thermal radiation --- magneto hydro-dynamics (MHD) --- dissipative particle dynamics (DPD) --- Hartmann number (Ha-value) --- harmony bond coefficient or spring constant (K)


Book
Mathematical Methods, Modelling and Applications
Authors: ---
Year: 2022 Publisher: Basel MDPI - Multidisciplinary Digital Publishing Institute

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Abstract

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.

Keywords

Research & information: general --- Mathematics & science --- 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 --- Kendall's tau --- Schrödinger operator


Book
Mathematical Methods, Modelling and Applications
Authors: ---
Year: 2022 Publisher: Basel MDPI - Multidisciplinary Digital Publishing Institute

Loading...
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Bookmark

Abstract

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.

Keywords

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 --- Kendall's tau --- Schrödinger operator


Book
Mathematical Methods, Modelling and Applications
Authors: ---
Year: 2022 Publisher: Basel MDPI - Multidisciplinary Digital Publishing Institute

Loading...
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Bookmark

Abstract

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.

Keywords

Research & information: general --- Mathematics & science --- 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

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