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This book includes papers in cross-disciplinary applications of mathematical modelling: from medicine to linguistics, social problems, and more. Based on cutting-edge research, each chapter is focused on a different problem of modelling human behaviour or engineering problems at different levels. The reader would find this book to be a useful reference in identifying problems of interest in social, medicine and engineering sciences, and in developing mathematical models that could be used to successfully predict behaviours and obtain practical information for specialised practitioners. This book is a must-read for anyone interested in the new developments of applied mathematics in connection with epidemics, medical modelling, social issues, random differential equations and numerical methods.
uncertainty quantification --- neutron diffusion equation --- discrete dynamical systems --- organisational risk --- computational efficiency --- AHP --- random power series --- order of convergence --- IPV --- multi-criteria decision-making --- random non-autonomous second order linear differential equation --- game of life --- immune system --- parameter estimation --- cytokines --- model --- stem cells --- Voynich Manuscript --- uncertainty modelling --- ode --- bottling process --- anti-torpedo decoy --- decision-making --- exponential polynomial --- Hidden Markov models --- systems of nonlinear equations --- iterative methods --- modified block Newton method --- mathematical linguistics --- DEMATEL --- convergence --- F-110 frigate --- Chikungunya disease --- nonlinear dynamical systems --- cellular automata --- mean square analytic solution --- basin of attraction --- violence index --- macrophages --- Markov chain Monte Carlo --- human behaviour --- block preconditioner --- generalized eigenvalue problem --- bone repair --- numerical simulations --- ASW --- Newton’s method --- independence index --- mathematical modeling --- brain dynamics
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Groundwater is an essential and vital water resource for drinking water production, agricultural irrigation, and industrial processes. Having a better understanding of physical and chemical processes in aquifers enables more reliable decisions and reduces investments concerning water management. This Special Issue on “Water Flow, Solute, and Heat Transfer, in Groundwater” of Water focuses on the recent advances in groundwater dynamics, and it includes high-quality papers that cover a wide range of issues on different aspects related to groundwater: protection from contamination, recharge, heat transfer, hydraulic parameters estimation, well hydraulics, microbial community, colloid transport, and mathematical models. This integrative volume aims to transfer knowledge to hydrologists, hydraulic engineers, and water resources planners, who are engaged in the sustainable development of groundwater resources.
Research & information: general --- artificial ground freezing method --- groundwater flow --- temperature field --- freezing wall --- effective hydraulic conductivity --- fractured media --- gravitational force --- numerical method --- rock penetration --- colloid size --- colloid transport --- underground water-sealed oil storage cavern --- seawater intrusion --- island tidal environment --- vertical water curtain system --- multi-physical field coupling --- scenario-based projections --- HYDRUS 1-D --- aridity index --- water balance --- grassland --- root water stress --- groundwater protection --- wellhead protection area (WHPA) --- uncertainty analysis --- soil moisture --- groundwater recharge --- evapotranspiration --- vadose zone --- soil hydraulic property --- climate --- NAPL --- volume averaging --- upscaling --- mass transfer --- fractured aquitard --- groundwater pollution --- microbial community’s diversity --- dehalogenation --- tribromoneopentyl alcohol --- 1-bromo-1-chloroethane --- geothermal water reservoir --- well spacing --- direct geothermal district heating system --- indirect geothermal district heating system --- multiobjective optimization --- technical and economic evaluation --- Richards’-equation --- simulation --- algebraic multigrid --- preconditioner --- residual saturation --- porous media --- permeability --- entrapped air --- two-phase flow --- ascending relief well --- groundwater --- seepage --- sand-tank --- modeling --- Dupuit formula --- Dupuit-Thiem formula --- porous and fractured media --- contaminant transport --- heat transfer --- parameters --- colloids --- microbial community --- field and laboratory studies --- mathematical modeling --- artificial ground freezing method --- groundwater flow --- temperature field --- freezing wall --- effective hydraulic conductivity --- fractured media --- gravitational force --- numerical method --- rock penetration --- colloid size --- colloid transport --- underground water-sealed oil storage cavern --- seawater intrusion --- island tidal environment --- vertical water curtain system --- multi-physical field coupling --- scenario-based projections --- HYDRUS 1-D --- aridity index --- water balance --- grassland --- root water stress --- groundwater protection --- wellhead protection area (WHPA) --- uncertainty analysis --- soil moisture --- groundwater recharge --- evapotranspiration --- vadose zone --- soil hydraulic property --- climate --- NAPL --- volume averaging --- upscaling --- mass transfer --- fractured aquitard --- groundwater pollution --- microbial community’s diversity --- dehalogenation --- tribromoneopentyl alcohol --- 1-bromo-1-chloroethane --- geothermal water reservoir --- well spacing --- direct geothermal district heating system --- indirect geothermal district heating system --- multiobjective optimization --- technical and economic evaluation --- Richards’-equation --- simulation --- algebraic multigrid --- preconditioner --- residual saturation --- porous media --- permeability --- entrapped air --- two-phase flow --- ascending relief well --- groundwater --- seepage --- sand-tank --- modeling --- Dupuit formula --- Dupuit-Thiem formula --- porous and fractured media --- contaminant transport --- heat transfer --- parameters --- colloids --- microbial community --- field and laboratory studies --- mathematical modeling
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This computationally oriented book describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms. The book bridges different mathematical areas to obtain algorithms to estimate bilinear forms involving two vectors and a function of the matrix. The first part of the book provides the necessary mathematical background and explains the theory. The second part describes the applications and gives numerical examples of the algorithms and techniques developed in the first part. Applications addressed in the book include computing elements of functions of matrices; obtaining estimates of the error norm in iterative methods for solving linear systems and computing parameters in least squares and total least squares; and solving ill-posed problems using Tikhonov regularization. This book will interest researchers in numerical linear algebra and matrix computations, as well as scientists and engineers working on problems involving computation of bilinear forms.
Matrices. --- Numerical analysis. --- Mathematical analysis --- Algebra, Matrix --- Cracovians (Mathematics) --- Matrix algebra --- Matrixes (Algebra) --- Algebra, Abstract --- Algebra, Universal --- Matrices --- Numerical analysis --- Algorithm. --- Analysis of algorithms. --- Analytic function. --- Asymptotic analysis. --- Basis (linear algebra). --- Basis function. --- Biconjugate gradient method. --- Bidiagonal matrix. --- Bilinear form. --- Calculation. --- Characteristic polynomial. --- Chebyshev polynomials. --- Coefficient. --- Complex number. --- Computation. --- Condition number. --- Conjugate gradient method. --- Conjugate transpose. --- Cross-validation (statistics). --- Curve fitting. --- Degeneracy (mathematics). --- Determinant. --- Diagonal matrix. --- Dimension (vector space). --- Eigenvalues and eigenvectors. --- Equation. --- Estimation. --- Estimator. --- Exponential function. --- Factorization. --- Function (mathematics). --- Function of a real variable. --- Functional analysis. --- Gaussian quadrature. --- Hankel matrix. --- Hermite interpolation. --- Hessenberg matrix. --- Hilbert matrix. --- Holomorphic function. --- Identity matrix. --- Interlacing (bitmaps). --- Inverse iteration. --- Inverse problem. --- Invertible matrix. --- Iteration. --- Iterative method. --- Jacobi matrix. --- Krylov subspace. --- Laguerre polynomials. --- Lanczos algorithm. --- Linear differential equation. --- Linear regression. --- Linear subspace. --- Logarithm. --- Machine epsilon. --- Matrix function. --- Matrix polynomial. --- Maxima and minima. --- Mean value theorem. --- Meromorphic function. --- Moment (mathematics). --- Moment matrix. --- Moment problem. --- Monic polynomial. --- Monomial. --- Monotonic function. --- Newton's method. --- Numerical integration. --- Numerical linear algebra. --- Orthogonal basis. --- Orthogonal matrix. --- Orthogonal polynomials. --- Orthogonal transformation. --- Orthogonality. --- Orthogonalization. --- Orthonormal basis. --- Partial fraction decomposition. --- Polynomial. --- Preconditioner. --- QR algorithm. --- QR decomposition. --- Quadratic form. --- Rate of convergence. --- Recurrence relation. --- Regularization (mathematics). --- Rotation matrix. --- Singular value. --- Square (algebra). --- Summation. --- Symmetric matrix. --- Theorem. --- Tikhonov regularization. --- Trace (linear algebra). --- Triangular matrix. --- Tridiagonal matrix. --- Upper and lower bounds. --- Variable (mathematics). --- Vector space. --- Weight function.
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Groundwater is an essential and vital water resource for drinking water production, agricultural irrigation, and industrial processes. Having a better understanding of physical and chemical processes in aquifers enables more reliable decisions and reduces investments concerning water management. This Special Issue on “Water Flow, Solute, and Heat Transfer, in Groundwater” of Water focuses on the recent advances in groundwater dynamics, and it includes high-quality papers that cover a wide range of issues on different aspects related to groundwater: protection from contamination, recharge, heat transfer, hydraulic parameters estimation, well hydraulics, microbial community, colloid transport, and mathematical models. This integrative volume aims to transfer knowledge to hydrologists, hydraulic engineers, and water resources planners, who are engaged in the sustainable development of groundwater resources.
artificial ground freezing method --- groundwater flow --- temperature field --- freezing wall --- effective hydraulic conductivity --- fractured media --- gravitational force --- numerical method --- rock penetration --- colloid size --- colloid transport --- underground water-sealed oil storage cavern --- seawater intrusion --- island tidal environment --- vertical water curtain system --- multi-physical field coupling --- scenario-based projections --- HYDRUS 1-D --- aridity index --- water balance --- grassland --- root water stress --- groundwater protection --- wellhead protection area (WHPA) --- uncertainty analysis --- soil moisture --- groundwater recharge --- evapotranspiration --- vadose zone --- soil hydraulic property --- climate --- NAPL --- volume averaging --- upscaling --- mass transfer --- fractured aquitard --- groundwater pollution --- microbial community’s diversity --- dehalogenation --- tribromoneopentyl alcohol --- 1-bromo-1-chloroethane --- geothermal water reservoir --- well spacing --- direct geothermal district heating system --- indirect geothermal district heating system --- multiobjective optimization --- technical and economic evaluation --- Richards’-equation --- simulation --- algebraic multigrid --- preconditioner --- residual saturation --- porous media --- permeability --- entrapped air --- two-phase flow --- ascending relief well --- groundwater --- seepage --- sand-tank --- modeling --- Dupuit formula --- Dupuit-Thiem formula --- porous and fractured media --- contaminant transport --- heat transfer --- parameters --- colloids --- microbial community --- field and laboratory studies --- mathematical modeling
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