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Título : Integral Geometry and Radon Transforms Tipo de documento: documento electrónico Autores: Sigurdur Helgason ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2011 Número de páginas: XIII, 301 p Il.: online resource ISBN/ISSN/DL: 978-1-4419-6055-9 Idioma : Inglés (eng) Palabras clave: Mathematics Topological groups Lie Global analysis (Mathematics) Manifolds Integral transforms Operational calculus Differential geometry Geometry Transforms, Calculus Analysis and on Groups, Groups Clasificación: 51 Matemáticas Resumen: In this text, integral geometry deals with Radon’s problem of representing a function on a manifold in terms of its integrals over certain submanifolds—hence the term the Radon transform. Examples and far-reaching generalizations lead to fundamental problems such as: (i) injectivity, (ii) inversion formulas, (iii) support questions, (iv) applications (e.g., to tomography, partial differential equations and group representations). For the case of the plane, the inversion theorem and the support theorem have had major applications in medicine through tomography and CAT scanning. While containing some recent research, the book is aimed at beginning graduate students for classroom use or self-study. A number of exercises point to further results with documentation. From the reviews: “Integral Geometry is a fascinating area, where numerous branches of mathematics meet together. The contents of the book is concentrated around the duality and double fibration, which is realized through the masterful treatment of a variety of examples. The book is written by an expert, who has made fundamental contributions to the area.” —Boris Rubin, Louisiana State University Nota de contenido: The Radon Transformon Rn -- A Duality in Integral Geometry -- The Radon Transform on Two-Point Homogeneous Spaces -- The X-Ray Transform on a Symmetric Space -- Orbital Integrals -- The Mean-Value Operator -- Fourier Transforms and Distribution: A Rapid Course -- Lie Transformation Groups and Differential Operators -- Bibliography -- Notational Conventions -- Index En línea: http://dx.doi.org/10.1007/978-1-4419-6055-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33145 Integral Geometry and Radon Transforms [documento electrónico] / Sigurdur Helgason ; SpringerLink (Online service) . - New York, NY : Springer New York, 2011 . - XIII, 301 p : online resource.
ISBN : 978-1-4419-6055-9
Idioma : Inglés (eng)
Palabras clave: Mathematics Topological groups Lie Global analysis (Mathematics) Manifolds Integral transforms Operational calculus Differential geometry Geometry Transforms, Calculus Analysis and on Groups, Groups Clasificación: 51 Matemáticas Resumen: In this text, integral geometry deals with Radon’s problem of representing a function on a manifold in terms of its integrals over certain submanifolds—hence the term the Radon transform. Examples and far-reaching generalizations lead to fundamental problems such as: (i) injectivity, (ii) inversion formulas, (iii) support questions, (iv) applications (e.g., to tomography, partial differential equations and group representations). For the case of the plane, the inversion theorem and the support theorem have had major applications in medicine through tomography and CAT scanning. While containing some recent research, the book is aimed at beginning graduate students for classroom use or self-study. A number of exercises point to further results with documentation. From the reviews: “Integral Geometry is a fascinating area, where numerous branches of mathematics meet together. The contents of the book is concentrated around the duality and double fibration, which is realized through the masterful treatment of a variety of examples. The book is written by an expert, who has made fundamental contributions to the area.” —Boris Rubin, Louisiana State University Nota de contenido: The Radon Transformon Rn -- A Duality in Integral Geometry -- The Radon Transform on Two-Point Homogeneous Spaces -- The X-Ray Transform on a Symmetric Space -- Orbital Integrals -- The Mean-Value Operator -- Fourier Transforms and Distribution: A Rapid Course -- Lie Transformation Groups and Differential Operators -- Bibliography -- Notational Conventions -- Index En línea: http://dx.doi.org/10.1007/978-1-4419-6055-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33145 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Integral Methods in Science and Engineering / SpringerLink (Online service) ; Christian Constanda ; Paul J. Harris (2011)
Título : Integral Methods in Science and Engineering : Computational and Analytic Aspects Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Christian Constanda ; Paul J. Harris Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2011 Número de páginas: XXVI, 422 p. 98 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-8238-5 Idioma : Inglés (eng) Palabras clave: Mathematics Integral equations Differential Partial differential Computer mathematics Applied Engineering Continuum mechanics Equations Appl.Mathematics/Computational Methods of Ordinary Mechanics and Materials Computational Numerical Analysis Clasificación: 51 Matemáticas Resumen: The systematic study of the physical world is largely based on the design of mathematical models using many different types of ordinary differential, partial differential, integral, and integro-differential equations. The solutions of these equations are therefore of great interest to practitioners and to science in general. With a wealth of cutting-edge research in the field, Integral Methods in Science and Engineering: Computational and Analytic Aspects provides a vivid picture of both the development of theoretical integral techniques and their use in specific science and engineering problems. The volume is an outgrowth of talks presented by world-renowned researchers at the Eleventh International Conference on Integral Methods in Science and Engineering held in Brighton, UK, July 12–14, 2010. The array of topics they address is immense, ranging from theoretical advances in boundary integral methods to applications of analytic and numerical quadrature techniques as diverse as integral equations, finite and boundary elements, conservation laws, hybrid approaches, and more. With ample coverage of theory and applications, this book will be a valuable resource for researchers in applied mathematics, physics, and mechanical and electrical engineering, for graduate students in these disciplines, and for various other professionals who use integration as an essential technique in their work Nota de contenido: Preface -- Collocation Method for Cauchy Integral Equations in L^2 -- On a New Definition of the Reynolds Number from the Interplay of Macroscopic and Microscopic Phenomenology -- A Self-Consistent Monte Carlo Validation Procedure for Hadron Cancer Therapy Simulation -- A General Analytical Solution of the Advection–Diffusion Equation for Fickian Closure -- A Novel Method for Simulating Spectral Nuclear Reactor Criticality by Spatially Dependent Volume Size Control -- Adaptive Particle Filter for Stable Distribution -- On the Analytical Solution of the Multi-Group Neutron Kinetic Diffusion Equations in One-Dimensional Cartesian Geometry by the Integral Transformation Technique -- Estimating the Validity of Statistical Energy Analysis Using Dynamic Energy Analysis -- Efficient Iterative Methods for Fast Solution of Integral Operators -- Analysis of Some Localized Boundary–Domain Integral Equations for Transmission Problems with Variable Coefficients -- Analysis of Segregated Boundary–Domain Integral Equations for Variable-Coefficient BVPs in Exterior Domains -- Thermoelastic Plates with Arc-Shaped Cracks -- Almost Periodicity in Semilinear Systems -- Bubble Behavior Near a Two-Fluid Interface -- Spectral Stiff Problems in Domains with Strongly Oscillating Boundary -- Spectra and Pseudospectra of the Convection–Diffusion Operator -- A Necessary and Sufficient Condition for the Existence of Absolute Minimizers for Energy Functionals with Scale Invariance -- Nonlinear Abel-Type Integral Equation Modeling in Creep Crack Propagation -- Some Thoughts on Methods for Evaluating a Class of Highly Oscillatory Integrals -- Numerical Experiments for Mammary Adenocarcinoma Cell Progression -- Limiting Cases of Subdiffusion -- A New Hybrid Method to Predict the Distribution of Vibro-Acoustic Energy in Complex Built-up Structures -- 2-D and 3-D Elastodynamic Contact Problems for Interface Cracks Under Harmonic Loading -- Asymptotic Behavior of Elliptic Quadric Algebraic Equations with Variable Coefficients and Aerodynamical Applications -- Artificial Neural Networks for Estimating Atmospheric Pollutant Sources -- A Theoretical Study of the Stratified Atmospheric Boundary Layer Through Perturbation Techniques -- Integro-Differential Equations for Stress Analysis at the Bridged Zone of an Interface Crack -- Design and Performance of Gas–Liquid Cylindrical Cyclone/Slug Damper System -- On the Quasimodes for compact Operators and Associated Evolution Problems -- Error Estimation by Means of Richardson Extrapolation with the Boundary Element Method in a Dirichlet Problem for the Laplace Equation -- Convergence of a Discretization Scheme Based on the Characteristics Method for a Fluid-Rigid System -- An Efficient Algorithm to Solve the GITT-Transformed 2-D Neutron Diffusion Equation -- Nonlinear Localized Dissipative Structures for Solving Wave Equations over Long Distances -- Semianalytical Approach to the Computation of the Laplace Transform of Source Functions -- Asymptotic Analysis of Singularities for Pseudodifferential Equations in Canonical Non-Smooth Domains -- Optimizing Water Quality in a River Section -- Boundary Integral Equations for Arbitrary Geometry Shells. On the Determination of the Albedo Boundary Conditions by Solving the One-Speed Neutron Transport Equation in Slab-Geometry with the LTSN Method. Numerical Solution of the Electric Field Integral Equation on Polyhedral Surfaces -- A High Frequency Problem of Scattering by Convex Polygons with Impedance Boundary Conditions -- Localized Segregated Boundary–Domain Integral Equation Formulation for Transmission Problems -- Distributional Solutions for Boundary Integral Methods in the Theory of Bending of Thermoelastic Plates. New Spaces: A Semi-linear Case -- Generalized Particle Filter: PDF with Undefined Statistical Moments -- Droplet Heating and Evaporation in the Presence of a Moving Boundary: Numerical Analysis Based on Analytical Solutions -- Solution of a Nonlinear Abel-type Integral Equation Modeling Crack Propagation Under Creep and Fatigue -- Some Thoughts on Methods for Evaluating a Class of Highly Oscillatory Integrals -- Domain Decomposition with Lagrange Multipliers for Hypersingular Integral Equations -- Numerical Integration Methods for Functions with Singularities by Partition Integration -- Multiple Trace Boundary Integral Formulation for Helmholtz Transmission Problems -- Limiting Cases of Subdiffusion.-New Trends in Inverse Scattering Theory -- Transient Mechanistic Model for Slug Damper/ (GLCC)Compact Separator System -- Exact 3-D Galerkin Integrals for Planar Cracks -- Interface Cracks Under Harmonic Loading: Effect of Crack Face Contact Interaction -- Localized Segregated Boundary–Domain Integral Equation Formulation for Mixed Type Boundary Value Problems -- On the Robustness of the GITT Solution for the 2-D Neutron Diffusion Equation in Cartesian Geometry -- Conditioning Numerical Models with Application to Petroleum Reservoir Chracterization -- Computation of the Spectrum for Some Elliptic Operators on Periodic Waveguides with Variable Density -- Numerical Simulation of Short Waves over Long Distances as Nonlinear Solitary Waves -- Pseudodifferential Equations in Domains with Boundary Singularities -- Optimizing Water Quality in a River Section -- Semi-analytical Approach to the Computation of the Laplace Transform of 3-D Source Functions -- Boundary Integral Equations for Shells of Arbitrary Geometry -- Solutions to Model Equations for Cancer Growth En línea: http://dx.doi.org/10.1007/978-0-8176-8238-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33108 Integral Methods in Science and Engineering : Computational and Analytic Aspects [documento electrónico] / SpringerLink (Online service) ; Christian Constanda ; Paul J. Harris . - Boston : Birkhäuser Boston, 2011 . - XXVI, 422 p. 98 illus : online resource.
ISBN : 978-0-8176-8238-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Integral equations Differential Partial differential Computer mathematics Applied Engineering Continuum mechanics Equations Appl.Mathematics/Computational Methods of Ordinary Mechanics and Materials Computational Numerical Analysis Clasificación: 51 Matemáticas Resumen: The systematic study of the physical world is largely based on the design of mathematical models using many different types of ordinary differential, partial differential, integral, and integro-differential equations. The solutions of these equations are therefore of great interest to practitioners and to science in general. With a wealth of cutting-edge research in the field, Integral Methods in Science and Engineering: Computational and Analytic Aspects provides a vivid picture of both the development of theoretical integral techniques and their use in specific science and engineering problems. The volume is an outgrowth of talks presented by world-renowned researchers at the Eleventh International Conference on Integral Methods in Science and Engineering held in Brighton, UK, July 12–14, 2010. The array of topics they address is immense, ranging from theoretical advances in boundary integral methods to applications of analytic and numerical quadrature techniques as diverse as integral equations, finite and boundary elements, conservation laws, hybrid approaches, and more. With ample coverage of theory and applications, this book will be a valuable resource for researchers in applied mathematics, physics, and mechanical and electrical engineering, for graduate students in these disciplines, and for various other professionals who use integration as an essential technique in their work Nota de contenido: Preface -- Collocation Method for Cauchy Integral Equations in L^2 -- On a New Definition of the Reynolds Number from the Interplay of Macroscopic and Microscopic Phenomenology -- A Self-Consistent Monte Carlo Validation Procedure for Hadron Cancer Therapy Simulation -- A General Analytical Solution of the Advection–Diffusion Equation for Fickian Closure -- A Novel Method for Simulating Spectral Nuclear Reactor Criticality by Spatially Dependent Volume Size Control -- Adaptive Particle Filter for Stable Distribution -- On the Analytical Solution of the Multi-Group Neutron Kinetic Diffusion Equations in One-Dimensional Cartesian Geometry by the Integral Transformation Technique -- Estimating the Validity of Statistical Energy Analysis Using Dynamic Energy Analysis -- Efficient Iterative Methods for Fast Solution of Integral Operators -- Analysis of Some Localized Boundary–Domain Integral Equations for Transmission Problems with Variable Coefficients -- Analysis of Segregated Boundary–Domain Integral Equations for Variable-Coefficient BVPs in Exterior Domains -- Thermoelastic Plates with Arc-Shaped Cracks -- Almost Periodicity in Semilinear Systems -- Bubble Behavior Near a Two-Fluid Interface -- Spectral Stiff Problems in Domains with Strongly Oscillating Boundary -- Spectra and Pseudospectra of the Convection–Diffusion Operator -- A Necessary and Sufficient Condition for the Existence of Absolute Minimizers for Energy Functionals with Scale Invariance -- Nonlinear Abel-Type Integral Equation Modeling in Creep Crack Propagation -- Some Thoughts on Methods for Evaluating a Class of Highly Oscillatory Integrals -- Numerical Experiments for Mammary Adenocarcinoma Cell Progression -- Limiting Cases of Subdiffusion -- A New Hybrid Method to Predict the Distribution of Vibro-Acoustic Energy in Complex Built-up Structures -- 2-D and 3-D Elastodynamic Contact Problems for Interface Cracks Under Harmonic Loading -- Asymptotic Behavior of Elliptic Quadric Algebraic Equations with Variable Coefficients and Aerodynamical Applications -- Artificial Neural Networks for Estimating Atmospheric Pollutant Sources -- A Theoretical Study of the Stratified Atmospheric Boundary Layer Through Perturbation Techniques -- Integro-Differential Equations for Stress Analysis at the Bridged Zone of an Interface Crack -- Design and Performance of Gas–Liquid Cylindrical Cyclone/Slug Damper System -- On the Quasimodes for compact Operators and Associated Evolution Problems -- Error Estimation by Means of Richardson Extrapolation with the Boundary Element Method in a Dirichlet Problem for the Laplace Equation -- Convergence of a Discretization Scheme Based on the Characteristics Method for a Fluid-Rigid System -- An Efficient Algorithm to Solve the GITT-Transformed 2-D Neutron Diffusion Equation -- Nonlinear Localized Dissipative Structures for Solving Wave Equations over Long Distances -- Semianalytical Approach to the Computation of the Laplace Transform of Source Functions -- Asymptotic Analysis of Singularities for Pseudodifferential Equations in Canonical Non-Smooth Domains -- Optimizing Water Quality in a River Section -- Boundary Integral Equations for Arbitrary Geometry Shells. On the Determination of the Albedo Boundary Conditions by Solving the One-Speed Neutron Transport Equation in Slab-Geometry with the LTSN Method. Numerical Solution of the Electric Field Integral Equation on Polyhedral Surfaces -- A High Frequency Problem of Scattering by Convex Polygons with Impedance Boundary Conditions -- Localized Segregated Boundary–Domain Integral Equation Formulation for Transmission Problems -- Distributional Solutions for Boundary Integral Methods in the Theory of Bending of Thermoelastic Plates. New Spaces: A Semi-linear Case -- Generalized Particle Filter: PDF with Undefined Statistical Moments -- Droplet Heating and Evaporation in the Presence of a Moving Boundary: Numerical Analysis Based on Analytical Solutions -- Solution of a Nonlinear Abel-type Integral Equation Modeling Crack Propagation Under Creep and Fatigue -- Some Thoughts on Methods for Evaluating a Class of Highly Oscillatory Integrals -- Domain Decomposition with Lagrange Multipliers for Hypersingular Integral Equations -- Numerical Integration Methods for Functions with Singularities by Partition Integration -- Multiple Trace Boundary Integral Formulation for Helmholtz Transmission Problems -- Limiting Cases of Subdiffusion.-New Trends in Inverse Scattering Theory -- Transient Mechanistic Model for Slug Damper/ (GLCC)Compact Separator System -- Exact 3-D Galerkin Integrals for Planar Cracks -- Interface Cracks Under Harmonic Loading: Effect of Crack Face Contact Interaction -- Localized Segregated Boundary–Domain Integral Equation Formulation for Mixed Type Boundary Value Problems -- On the Robustness of the GITT Solution for the 2-D Neutron Diffusion Equation in Cartesian Geometry -- Conditioning Numerical Models with Application to Petroleum Reservoir Chracterization -- Computation of the Spectrum for Some Elliptic Operators on Periodic Waveguides with Variable Density -- Numerical Simulation of Short Waves over Long Distances as Nonlinear Solitary Waves -- Pseudodifferential Equations in Domains with Boundary Singularities -- Optimizing Water Quality in a River Section -- Semi-analytical Approach to the Computation of the Laplace Transform of 3-D Source Functions -- Boundary Integral Equations for Shells of Arbitrary Geometry -- Solutions to Model Equations for Cancer Growth En línea: http://dx.doi.org/10.1007/978-0-8176-8238-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33108 Ejemplares
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Título : Integral Methods in Science and Engineering : Progress in Numerical and Analytic Techniques Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Christian Constanda ; Bardo E. J. Bodmann ; Velho, Haroldo F. de Campos Editorial: New York, NY : Springer New York Fecha de publicación: 2013 Otro editor: Imprint: Birkhäuser Número de páginas: XIX, 401 p Il.: online resource ISBN/ISSN/DL: 978-1-4614-7828-7 Idioma : Inglés (eng) Palabras clave: Mathematics Integral equations Differential Partial differential Computer mathematics Applied Engineering Continuum mechanics Equations Appl.Mathematics/Computational Methods of Ordinary Mechanics and Materials Computational Numerical Analysis Clasificación: 51 Matemáticas Resumen: Advances in science and technology are driven by the development of rigorous mathematical foundations for the study of both theoretical and experimental models. With certain methodological variations, this type of study always comes down to the application of analytic or computational integration procedures, making such tools indispensible. With a wealth of cutting-edge research in the field, Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques provides a detailed portrait of both the construction of theoretical integral techniques and their application to specific problems in science and engineering. The chapters in this volume are based on talks given by well-known researchers at the Twelfth International Conference on Integral Methods in Science and Engineering, July 23–27, 2012, in Porto Alegre, Brazil. They address a broad range of topics, from problems of existence and uniqueness for singular integral equations on domain boundaries to numerical integration via finite and boundary elements, conservation laws, hybrid methods, and other quadrature-related approaches. The contributing authors bring their expertise to bear on a number of topical problems that have to date resisted solution, thereby offering help and guidance to fellow professionals worldwide. Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques will be a valuable resource for researchers in applied mathematics, physics, and mechanical and electrical engineering, for graduate students in these disciplines, and for various other professionals who use integration as an essential tool in their work Nota de contenido: 1 Multiphase Flow Splitting in Looped Pipelines -- 2 Green’s Function Decomposition Method for Transport Equation -- 3 Integral Neutron Transport and New Computational Methods: A Review -- 4 Scale Invariance and Some Limits in Transport Phenomenology: Existence of a Spontaneous Scale -- 5 On Coherent Structures from a Diffusion-Type Model -- 6 Numerical Simulation of the Dynamics of Molecular Markers Involved in Cell Polarization -- 7 Analytical Study of Computational Radiative Fluxes in a Heterogeneous Medium -- 8 A Novel Approach to the Hankel Transform Inversion of the Neutron Diffusion Problem Using the Parseval Identity -- 9 What Is Convergence Acceleration Anyway? -- 10 On the Fractal Pattern Phenomenology of Geological Fracture Signatures from a Scaling Law -- 11 Spectral Boundary Homogenization Problems in Perforated Domains with Robin Boundary Conditions and Large Parameters -- 12 A Finite Element Formulation of the Total Variation Method for Denoising a Set of Data -- 13 On the Convergence of the Multi-Group Isotropic Neutron LTSN Nodal Solution in Cartesian Geometry -- 14 Numerical Integration with Singularity by Taylor Series -- 15 Numerical Solutions of the 1D Convection–Diffusion–Reaction and the Burgers Equation Using Implicit Multi-Stage and Finite Element Methods -- 16 Analytical Reconstruction of Monoenergetic Neutron Angular Flux in Non-multiplying Slabs Using Diffusion Synthetic Approximation -- 17 On the Fractional Neutron Point Kinetics Equations -- 18 On a Closed Form Solution of the Point Kinetics Equations With a Modified Temperature Feedback -- 19 Eulerian Modeling of Radionuclides in Surficial Waters: The Case of Ilha Grande Bay (RJ, Brazil) -- 20 Fractional Calculus: Application in Modeling and Control -- 21 Modified Integral Equation Method for Stationary Plate Oscillations -- 22 Nonstandard Integral Equations for the Harmonic Oscillations of Thin Plates -- 23 A Genuine Analytical Solution for the SN Multi-Group Neutron Equation in Planar Geometry -- 24 Single-Phase Flow Instabilities: Effect of Pressure Waves in a Pump–Pipe–Plenum–Choke System -- 25 Two-Phase Flow Instabilities in Oil Wells: ESP Oscillatory Behavior and Casing-Heading -- 26 Validating a Closed Form Advection–Diffusion Solution by Experiments: Tritium Dispersion after Emission from the Brazilian Angra Dos Reis Nuclear Power Plant -- Index En línea: http://dx.doi.org/10.1007/978-1-4614-7828-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32368 Integral Methods in Science and Engineering : Progress in Numerical and Analytic Techniques [documento electrónico] / SpringerLink (Online service) ; Christian Constanda ; Bardo E. J. Bodmann ; Velho, Haroldo F. de Campos . - New York, NY : Springer New York : Imprint: Birkhäuser, 2013 . - XIX, 401 p : online resource.
ISBN : 978-1-4614-7828-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Integral equations Differential Partial differential Computer mathematics Applied Engineering Continuum mechanics Equations Appl.Mathematics/Computational Methods of Ordinary Mechanics and Materials Computational Numerical Analysis Clasificación: 51 Matemáticas Resumen: Advances in science and technology are driven by the development of rigorous mathematical foundations for the study of both theoretical and experimental models. With certain methodological variations, this type of study always comes down to the application of analytic or computational integration procedures, making such tools indispensible. With a wealth of cutting-edge research in the field, Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques provides a detailed portrait of both the construction of theoretical integral techniques and their application to specific problems in science and engineering. The chapters in this volume are based on talks given by well-known researchers at the Twelfth International Conference on Integral Methods in Science and Engineering, July 23–27, 2012, in Porto Alegre, Brazil. They address a broad range of topics, from problems of existence and uniqueness for singular integral equations on domain boundaries to numerical integration via finite and boundary elements, conservation laws, hybrid methods, and other quadrature-related approaches. The contributing authors bring their expertise to bear on a number of topical problems that have to date resisted solution, thereby offering help and guidance to fellow professionals worldwide. Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques will be a valuable resource for researchers in applied mathematics, physics, and mechanical and electrical engineering, for graduate students in these disciplines, and for various other professionals who use integration as an essential tool in their work Nota de contenido: 1 Multiphase Flow Splitting in Looped Pipelines -- 2 Green’s Function Decomposition Method for Transport Equation -- 3 Integral Neutron Transport and New Computational Methods: A Review -- 4 Scale Invariance and Some Limits in Transport Phenomenology: Existence of a Spontaneous Scale -- 5 On Coherent Structures from a Diffusion-Type Model -- 6 Numerical Simulation of the Dynamics of Molecular Markers Involved in Cell Polarization -- 7 Analytical Study of Computational Radiative Fluxes in a Heterogeneous Medium -- 8 A Novel Approach to the Hankel Transform Inversion of the Neutron Diffusion Problem Using the Parseval Identity -- 9 What Is Convergence Acceleration Anyway? -- 10 On the Fractal Pattern Phenomenology of Geological Fracture Signatures from a Scaling Law -- 11 Spectral Boundary Homogenization Problems in Perforated Domains with Robin Boundary Conditions and Large Parameters -- 12 A Finite Element Formulation of the Total Variation Method for Denoising a Set of Data -- 13 On the Convergence of the Multi-Group Isotropic Neutron LTSN Nodal Solution in Cartesian Geometry -- 14 Numerical Integration with Singularity by Taylor Series -- 15 Numerical Solutions of the 1D Convection–Diffusion–Reaction and the Burgers Equation Using Implicit Multi-Stage and Finite Element Methods -- 16 Analytical Reconstruction of Monoenergetic Neutron Angular Flux in Non-multiplying Slabs Using Diffusion Synthetic Approximation -- 17 On the Fractional Neutron Point Kinetics Equations -- 18 On a Closed Form Solution of the Point Kinetics Equations With a Modified Temperature Feedback -- 19 Eulerian Modeling of Radionuclides in Surficial Waters: The Case of Ilha Grande Bay (RJ, Brazil) -- 20 Fractional Calculus: Application in Modeling and Control -- 21 Modified Integral Equation Method for Stationary Plate Oscillations -- 22 Nonstandard Integral Equations for the Harmonic Oscillations of Thin Plates -- 23 A Genuine Analytical Solution for the SN Multi-Group Neutron Equation in Planar Geometry -- 24 Single-Phase Flow Instabilities: Effect of Pressure Waves in a Pump–Pipe–Plenum–Choke System -- 25 Two-Phase Flow Instabilities in Oil Wells: ESP Oscillatory Behavior and Casing-Heading -- 26 Validating a Closed Form Advection–Diffusion Solution by Experiments: Tritium Dispersion after Emission from the Brazilian Angra Dos Reis Nuclear Power Plant -- Index En línea: http://dx.doi.org/10.1007/978-1-4614-7828-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32368 Ejemplares
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Título : Integral Methods in Science and Engineering : Techniques and Applications Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Christian Constanda ; Potapenko, S Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2008 Número de páginas: XVI, 298 p. 62 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4671-4 Idioma : Inglés (eng) Palabras clave: Mathematics Integral equations Differential Partial differential Applied mathematics Engineering Computational intelligence Equations Appl.Mathematics/Computational Methods of Applications Intelligence Ordinary Clasificación: 51 Matemáticas Resumen: The physical world is studied by means of mathematical models, which consist of differential, integral, and integro-differential equations accompanied by a large assortment of initial and boundary conditions. In certain circumstances, such models yield exact analytic solutions. When they do not, they are solved numerically by means of various approximation schemes. Whether analytic or numerical, these solutions share a common feature: they are constructed by means of the powerful tool of integration—the focus of this self-contained book. An outgrowth of the Ninth International Conference on Integral Methods in Science and Engineering, this work illustrates the application of integral methods to diverse problems in mathematics, physics, biology, and engineering. The thirty two chapters of the book, written by scientists with established credentials in their fields, contain state-of-the-art information on current research in a variety of important practical disciplines. The problems examined arise in real-life processes and phenomena, and the solution techniques range from theoretical integral equations to finite and boundary elements. Specific topics covered include spectral computations, atmospheric pollutant dispersion, vibration of drilling masts, bending of thermoelastic plates, homogenization, equilibria in nonlinear elasticity, modeling of syringomyelia, fractional diffusion equations, operators on Lipschitz domains, systems with concentrated masses, transmission problems, equilibrium shape of axisymmetric vesicles, boundary layer theory, and many more. Integral Methods in Science and Engineering is a useful and practical guide to a variety of topics of interest to pure and applied mathematicians, physicists, biologists, and civil and mechanical engineers, at both the professional and graduate student level. Nota de contenido: Superconvergence of Projection Methods for Weakly Singular Integral Operators -- On Acceleration of Spectral Computations for Integral Operators with Weakly Singular Kernels -- Numerical Solution of Integral Equations in Solidification and Melting with Spherical Symmetry -- An Analytic Solution for the Steady-State Two-Dimensional Advection–Diffusion–Deposition Model by the GILTT Approach -- Analytic Two-Dimensional Atmospheric Pollutant Dispersion Simulation by Double GITT -- Transient Acoustic Radiation from a Thin Spherical Elastic Shell -- The Eigenfrequencies and Mode Shapes of Drilling Masts -- Layer Potentials in Dynamic Bending of Thermoelastic Plates -- Direct Methods in the Theory of Thermoelastic Plates -- The Dirichlet Problem for the Plane Deformation of a Thin Plate on an Elastic Foundation -- Some Remarks on Homogenization in Perforated Domains -- Dynamic Response of a Poroelastic Half-Space to Harmonic Line Tractions -- Convexity Conditions and Uniqueness and Regularity of Equilibria in Nonlinear Elasticity -- The Mathematical Modeling of Syringomyelia -- A System Iterative Method for Solving First-Kind, Degraded Identity Operator Equations -- Fast Numerical Integration Method Using Taylor Series -- Boundary Integral Solution of the Two-Dimensional Fractional Diffusion Equation -- About Traces, Extensions, and Co-Normal Derivative Operators on Lipschitz Domains -- On the Extension of Divergence-Free Vector Fields Across Lipschitz Interfaces -- Solutions of the Atmospheric Advection–Diffusion Equation by the Laplace Transformation -- On Quasimodes for Spectral Problems Arising in Vibrating Systems with Concentrated Masses -- Two-Sided Estimates for Local Minimizers in Compressible Elasticity -- Harmonic Oscillations in a Linear Theory of Antiplane Elasticity with Microstructure -- Exterior Dirichlet and Neumann Problems for the Helmholtz Equation as Limits of Transmission Problems -- Direct Boundary Element Method with Discretization of All Integral Operators -- Reciprocity in Elastomechanics: Development of Explicit Results for Mixed Boundary Value Problems -- Integral Equation Modeling of Electrostatic Interactions in Atomic Force Microscopy -- Integral Representation for the Solution of a Crack Problem Under Stretching Pressure in Plane Asymmetric Elasticity -- Euler–Bernoulli Beam with Energy Dissipation: Spectral Properties and Control -- Correct Equilibrium Shape Equation of Axisymmetric Vesicles -- Properties of Positive Solutions of the Falkner–Skan Equation Arising in Boundary Layer Theory -- Stabilization of a Four-Dimensional System under Real Noise Excitation En línea: http://dx.doi.org/10.1007/978-0-8176-4671-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34274 Integral Methods in Science and Engineering : Techniques and Applications [documento electrónico] / SpringerLink (Online service) ; Christian Constanda ; Potapenko, S . - Boston, MA : Birkhäuser Boston, 2008 . - XVI, 298 p. 62 illus : online resource.
ISBN : 978-0-8176-4671-4
Idioma : Inglés (eng)
Palabras clave: Mathematics Integral equations Differential Partial differential Applied mathematics Engineering Computational intelligence Equations Appl.Mathematics/Computational Methods of Applications Intelligence Ordinary Clasificación: 51 Matemáticas Resumen: The physical world is studied by means of mathematical models, which consist of differential, integral, and integro-differential equations accompanied by a large assortment of initial and boundary conditions. In certain circumstances, such models yield exact analytic solutions. When they do not, they are solved numerically by means of various approximation schemes. Whether analytic or numerical, these solutions share a common feature: they are constructed by means of the powerful tool of integration—the focus of this self-contained book. An outgrowth of the Ninth International Conference on Integral Methods in Science and Engineering, this work illustrates the application of integral methods to diverse problems in mathematics, physics, biology, and engineering. The thirty two chapters of the book, written by scientists with established credentials in their fields, contain state-of-the-art information on current research in a variety of important practical disciplines. The problems examined arise in real-life processes and phenomena, and the solution techniques range from theoretical integral equations to finite and boundary elements. Specific topics covered include spectral computations, atmospheric pollutant dispersion, vibration of drilling masts, bending of thermoelastic plates, homogenization, equilibria in nonlinear elasticity, modeling of syringomyelia, fractional diffusion equations, operators on Lipschitz domains, systems with concentrated masses, transmission problems, equilibrium shape of axisymmetric vesicles, boundary layer theory, and many more. Integral Methods in Science and Engineering is a useful and practical guide to a variety of topics of interest to pure and applied mathematicians, physicists, biologists, and civil and mechanical engineers, at both the professional and graduate student level. Nota de contenido: Superconvergence of Projection Methods for Weakly Singular Integral Operators -- On Acceleration of Spectral Computations for Integral Operators with Weakly Singular Kernels -- Numerical Solution of Integral Equations in Solidification and Melting with Spherical Symmetry -- An Analytic Solution for the Steady-State Two-Dimensional Advection–Diffusion–Deposition Model by the GILTT Approach -- Analytic Two-Dimensional Atmospheric Pollutant Dispersion Simulation by Double GITT -- Transient Acoustic Radiation from a Thin Spherical Elastic Shell -- The Eigenfrequencies and Mode Shapes of Drilling Masts -- Layer Potentials in Dynamic Bending of Thermoelastic Plates -- Direct Methods in the Theory of Thermoelastic Plates -- The Dirichlet Problem for the Plane Deformation of a Thin Plate on an Elastic Foundation -- Some Remarks on Homogenization in Perforated Domains -- Dynamic Response of a Poroelastic Half-Space to Harmonic Line Tractions -- Convexity Conditions and Uniqueness and Regularity of Equilibria in Nonlinear Elasticity -- The Mathematical Modeling of Syringomyelia -- A System Iterative Method for Solving First-Kind, Degraded Identity Operator Equations -- Fast Numerical Integration Method Using Taylor Series -- Boundary Integral Solution of the Two-Dimensional Fractional Diffusion Equation -- About Traces, Extensions, and Co-Normal Derivative Operators on Lipschitz Domains -- On the Extension of Divergence-Free Vector Fields Across Lipschitz Interfaces -- Solutions of the Atmospheric Advection–Diffusion Equation by the Laplace Transformation -- On Quasimodes for Spectral Problems Arising in Vibrating Systems with Concentrated Masses -- Two-Sided Estimates for Local Minimizers in Compressible Elasticity -- Harmonic Oscillations in a Linear Theory of Antiplane Elasticity with Microstructure -- Exterior Dirichlet and Neumann Problems for the Helmholtz Equation as Limits of Transmission Problems -- Direct Boundary Element Method with Discretization of All Integral Operators -- Reciprocity in Elastomechanics: Development of Explicit Results for Mixed Boundary Value Problems -- Integral Equation Modeling of Electrostatic Interactions in Atomic Force Microscopy -- Integral Representation for the Solution of a Crack Problem Under Stretching Pressure in Plane Asymmetric Elasticity -- Euler–Bernoulli Beam with Energy Dissipation: Spectral Properties and Control -- Correct Equilibrium Shape Equation of Axisymmetric Vesicles -- Properties of Positive Solutions of the Falkner–Skan Equation Arising in Boundary Layer Theory -- Stabilization of a Four-Dimensional System under Real Noise Excitation En línea: http://dx.doi.org/10.1007/978-0-8176-4671-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34274 Ejemplares
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Título : Integral Methods in Science and Engineering : Theoretical and Practical Aspects Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Christian Constanda ; M. Zuhair Nashed ; Rollins, D Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2006 Número de páginas: XVI, 312 p. 51 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4450-5 Idioma : Inglés (eng) Palabras clave: Mathematics Integral equations Differential Partial differential Applied mathematics Engineering Numerical analysis Computational intelligence Equations Applications of Ordinary Analysis Intelligence Clasificación: 51 Matemáticas Resumen: The quantitative and qualitative study of the physical world makes use of many mathematical models governed by a great diversity of ordinary, partial differential, integral, and integro-differential equations. An essential step in such investigations is the solution of these types of equations, which sometimes can be performed analytically, while at other times only numerically. This edited, self-contained volume presents a series of state-of-the-art analytic and numerical methods of solution constructed for important problems arising in science and engineering, all based on the powerful operation of (exact or approximate) integration. The book, consisting of twenty seven selected chapters presented by well-known specialists in the field, is an outgrowth of the Eighth International Conference on Integral Methods in Science and Engineering, held August 2–4, 2004, in Orlando, FL. Contributors cover a wide variety of topics, from the theoretical development of boundary integral methods to the application of integration-based analytic and numerical techniques that include integral equations, finite and boundary elements, conservation laws, hybrid approaches, and other procedures. The volume may be used as a reference guide and a practical resource. It is suitable for researchers and practitioners in applied mathematics, physics, and mechanical and electrical engineering, as well as graduate students in these disciplines Nota de contenido: Newton-type Methods for Some Nonlinear Differential Problems -- Nodal and Laplace Transform Methods for Solving 2D Heat Conduction -- The Cauchy Problem in the Bending of Thermoelastic Plates -- Mixed Initial-boundary Value Problems for Thermoelastic Plates -- On the Structure of the Eigenfunctions of a Vibrating Plate with a Concentrated Mass and Very Small Thickness -- A Finite-dimensional Stabilized Variational Method for Unbounded Operators -- A Converse Result for the Tikhonov—Morozov Method -- A Weakly Singular Boundary Integral Formulation of the External Helmholtz Problem Valid for All Wavenumbers -- Cross-referencing for Determining Regularization Parameters in Ill-Posed Imaging Problems -- A Numerical Integration Method for Oscillatory Functions over an Infinite Interval by Substitution and Taylor Series -- On the Stability of Discrete Systems -- Parallel Domain Decomposition Boundary Element Method for Large-scale Heat Transfer Problems -- The Poisson Problem for the Lamé System on Low-dimensional Lipschitz Domains -- Analysis of Boundary-domain Integral and Integro-differential Equations for a Dirichlet Problem with a Variable Coefficient -- On the Regularity of the Harmonic Green Potential in Nonsmooth Domains -- Applications of Wavelets and Kernel Methods in Inverse Problems -- Zonal, Spectral Solutions for the Navier-Stokes Layer and Their Aerodynamical Applications -- Hybrid Laplace and Poisson Solvers. Part III: Neumann BCs -- Hybrid Laplace and Poisson Solvers. Part IV: Extensions -- A Contact Problem for a Convection-diffusion Equation -- Integral Representation of the Solution of Torsion of an Elliptic Beam with Microstructure -- A Coupled Second-order Boundary Value Problem at Resonance -- Multiple Impact Dynamics of a Falling Rod and Its Numerical Solution -- On the Monotone Solutions of Some ODEs. I: Structure of the Solutions -- On the Monotone Solutions of Some ODEs. II: Dead-core, Compact-support, and Blow-up Solutions -- A Spectral Method for the Fast Solution of Boundary Integral Formulations of Elliptic Problems -- The GILTT Pollutant Simulation in a Stable Atmosphere En línea: http://dx.doi.org/10.1007/0-8176-4450-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34854 Integral Methods in Science and Engineering : Theoretical and Practical Aspects [documento electrónico] / SpringerLink (Online service) ; Christian Constanda ; M. Zuhair Nashed ; Rollins, D . - Boston, MA : Birkhäuser Boston, 2006 . - XVI, 312 p. 51 illus : online resource.
ISBN : 978-0-8176-4450-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Integral equations Differential Partial differential Applied mathematics Engineering Numerical analysis Computational intelligence Equations Applications of Ordinary Analysis Intelligence Clasificación: 51 Matemáticas Resumen: The quantitative and qualitative study of the physical world makes use of many mathematical models governed by a great diversity of ordinary, partial differential, integral, and integro-differential equations. An essential step in such investigations is the solution of these types of equations, which sometimes can be performed analytically, while at other times only numerically. This edited, self-contained volume presents a series of state-of-the-art analytic and numerical methods of solution constructed for important problems arising in science and engineering, all based on the powerful operation of (exact or approximate) integration. The book, consisting of twenty seven selected chapters presented by well-known specialists in the field, is an outgrowth of the Eighth International Conference on Integral Methods in Science and Engineering, held August 2–4, 2004, in Orlando, FL. Contributors cover a wide variety of topics, from the theoretical development of boundary integral methods to the application of integration-based analytic and numerical techniques that include integral equations, finite and boundary elements, conservation laws, hybrid approaches, and other procedures. The volume may be used as a reference guide and a practical resource. It is suitable for researchers and practitioners in applied mathematics, physics, and mechanical and electrical engineering, as well as graduate students in these disciplines Nota de contenido: Newton-type Methods for Some Nonlinear Differential Problems -- Nodal and Laplace Transform Methods for Solving 2D Heat Conduction -- The Cauchy Problem in the Bending of Thermoelastic Plates -- Mixed Initial-boundary Value Problems for Thermoelastic Plates -- On the Structure of the Eigenfunctions of a Vibrating Plate with a Concentrated Mass and Very Small Thickness -- A Finite-dimensional Stabilized Variational Method for Unbounded Operators -- A Converse Result for the Tikhonov—Morozov Method -- A Weakly Singular Boundary Integral Formulation of the External Helmholtz Problem Valid for All Wavenumbers -- Cross-referencing for Determining Regularization Parameters in Ill-Posed Imaging Problems -- A Numerical Integration Method for Oscillatory Functions over an Infinite Interval by Substitution and Taylor Series -- On the Stability of Discrete Systems -- Parallel Domain Decomposition Boundary Element Method for Large-scale Heat Transfer Problems -- The Poisson Problem for the Lamé System on Low-dimensional Lipschitz Domains -- Analysis of Boundary-domain Integral and Integro-differential Equations for a Dirichlet Problem with a Variable Coefficient -- On the Regularity of the Harmonic Green Potential in Nonsmooth Domains -- Applications of Wavelets and Kernel Methods in Inverse Problems -- Zonal, Spectral Solutions for the Navier-Stokes Layer and Their Aerodynamical Applications -- Hybrid Laplace and Poisson Solvers. Part III: Neumann BCs -- Hybrid Laplace and Poisson Solvers. Part IV: Extensions -- A Contact Problem for a Convection-diffusion Equation -- Integral Representation of the Solution of Torsion of an Elliptic Beam with Microstructure -- A Coupled Second-order Boundary Value Problem at Resonance -- Multiple Impact Dynamics of a Falling Rod and Its Numerical Solution -- On the Monotone Solutions of Some ODEs. I: Structure of the Solutions -- On the Monotone Solutions of Some ODEs. II: Dead-core, Compact-support, and Blow-up Solutions -- A Spectral Method for the Fast Solution of Boundary Integral Formulations of Elliptic Problems -- The GILTT Pollutant Simulation in a Stable Atmosphere En línea: http://dx.doi.org/10.1007/0-8176-4450-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34854 Ejemplares
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