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Autor Musolino, Paolo |
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Crear una solicitud de compra Refinar búsquedaIntegral Methods in Science and Engineering, Volume 1 / Constanda, Christian ; Dalla Riva, Matteo ; Lamberti, Pier Domenico ; Musolino, Paolo
TÃtulo : Integral Methods in Science and Engineering, Volume 1 : Theoretical Techniques Tipo de documento: documento electrónico Autores: Constanda, Christian, ; Dalla Riva, Matteo, ; Lamberti, Pier Domenico, ; Musolino, Paolo, Mención de edición: 1 ed. Editorial: [s.l.] : Springer Fecha de publicación: 2017 Número de páginas: XXIV, 340 p. 163 ilustraciones, 111 ilustraciones en color. ISBN/ISSN/DL: 978-3-319-59384-5 Nota general: Libro disponible en la plataforma SpringerLink. Descarga y lectura en formatos PDF, HTML y ePub. Descarga completa o por capítulos. Idioma : Inglés (eng) Palabras clave: Ecuaciones integrales Análisis numérico Ecuaciones diferenciales Clasificación: 515.35 Resumen: Este volumen contribuido contiene una colección de artÃculos sobre los avances más recientes en métodos integrales. Este trabajo, el primero de dos volúmenes, se centra en la construcción de métodos teóricos integrales. Escritos por investigadores reconocidos internacionalmente, los capÃtulos de este libro se basan en charlas impartidas en la Decimocuarta Conferencia Internacional sobre Métodos Integrales en Ciencia e IngenierÃa, celebrada del 25 al 29 de julio de 2016 en Padua, Italia. Se aborda una amplia gama de temas, tales como: • Ecuaciones integrales • Homogeneización • Métodos de dualidad • Diseño óptimo • Técnicas conformes Esta colección será de interés para investigadores en matemáticas aplicadas, fÃsica e ingenierÃa mecánica y eléctrica, asà como para estudiantes de posgrado. en estas disciplinas, y a otros profesionales que utilizan la integración como herramienta esencial en su trabajo. Nota de contenido: An L1-Product-Integration Method in Astrophysics -- Differential Operators and Approximation Processes Generated by Markov Operators -- Analysis of Boundary-Domain Integral Equations for Variable-Coefficient BVPs in 2D: I. Neumann Problem -- A Measure of the Torsional Performances of Partially Hinged Rectangular Plates -- On a Class of Integral Equations Involving Kernels of Cosine and Sine Type -- The Simple-Layer Potential Approach to the Dirichlet Problem: An Extension to Higher Dimensions of Muskhelishvili Method and Applications -- Bending of Elastic Plates: Generalized Fourier Series Method -- Existence and Uniqueness Results for a Class of Singular Elliptic Problems in Two-Component Domains -- Fredholmness of Nonlocal Singular Integral Operators with Slowly Oscillating Data -- Multidimensional Time Fractional Diffusion Equation -- On Homogenization of Nonlinear Robin Type Boundary Conditions for the n-Laplacian in n-Dimensional Perforated Domains -- Interior Transmission Eigenvalues for Anisotropic Media -- Improvement of the Inside-Outside Duality Method -- A Note on Optimal Design for Thin Structures in the Orlicz–Sobolev Setting -- On the Radiative Conductive Transfer Equation: A Heuristic Convergence Criterion by Stability Analysis -- An Indirect Boundary Integral Equation Method for Boundary Value Problems in Elastostatics -- An Instability Result for Suspension Bridges -- A New Diffeomorph Conformal Methodology to Solve Flow Problems with Complex Boundaries by an Equivalent Plane Parallel Problem -- A New Family of Boundary-Domain Integral Equations for the Mixed Exterior Stationary Heat Transfer with Variable Coefficient -- Radiation Conditions and Integral Representations for Clifford Algebra-Valued Null-Solutions of the Iterated Helmholtz Operator -- A Wiener-Hopf System of Equations in the Steady-State Propagation of a Rectilinear Crack in an Infinite Elastic Plate -- Mono-energetic Neutron Space-Kinetics in Full Cylinder Symmetry: Simulating Power Decrease -- Asymptotic Solutions of Maxwell's Equations in a Layered Periodic Structure -- Some Properties of the Fractional Circle Zernike Polynomials -- Double Laplace Transform and Explicit Fractional Analogue of 2D Laplacian -- Stability of the Laplace Single Layer Boundary Integral Operator in Sobolev Spaces -- Spectral Lanczos' Tau Method for Systems of Nonlinear Integro-differential Equations -- Discreteness, Periodicity, Holomorphy, and Factorization -- Modes Coupling Seismic Waves and Vibrating Buildings: Existence -- Index. . Tipo de medio : Computadora Summary : This contributed volume contains a collection of articles on the most recent advances in integral methods. The first of two volumes, this work focuses on the construction of theoretical integral methods. Written by internationally recognized researchers, the chapters in this book are based on talks given at the Fourteenth International Conference on Integral Methods in Science and Engineering, held July 25-29, 2016, in Padova, Italy. A broad range of topics is addressed, such as: • Integral equations • Homogenization • Duality methods • Optimal design • Conformal techniques This collection will be of interest to researchers in applied mathematics, physics, and mechanical and electrical engineering, as well as graduate students in these disciplines, and to other professionals who use integration as an essential tool in their work. Enlace de acceso : https://link-springer-com.biblioproxy.umanizales.edu.co/referencework/10.1007/97 [...] Integral Methods in Science and Engineering, Volume 1 : Theoretical Techniques [documento electrónico] / Constanda, Christian, ; Dalla Riva, Matteo, ; Lamberti, Pier Domenico, ; Musolino, Paolo, . - 1 ed. . - [s.l.] : Springer, 2017 . - XXIV, 340 p. 163 ilustraciones, 111 ilustraciones en color.
ISBN : 978-3-319-59384-5
Libro disponible en la plataforma SpringerLink. Descarga y lectura en formatos PDF, HTML y ePub. Descarga completa o por capítulos.
Idioma : Inglés (eng)
Palabras clave: Ecuaciones integrales Análisis numérico Ecuaciones diferenciales Clasificación: 515.35 Resumen: Este volumen contribuido contiene una colección de artÃculos sobre los avances más recientes en métodos integrales. Este trabajo, el primero de dos volúmenes, se centra en la construcción de métodos teóricos integrales. Escritos por investigadores reconocidos internacionalmente, los capÃtulos de este libro se basan en charlas impartidas en la Decimocuarta Conferencia Internacional sobre Métodos Integrales en Ciencia e IngenierÃa, celebrada del 25 al 29 de julio de 2016 en Padua, Italia. Se aborda una amplia gama de temas, tales como: • Ecuaciones integrales • Homogeneización • Métodos de dualidad • Diseño óptimo • Técnicas conformes Esta colección será de interés para investigadores en matemáticas aplicadas, fÃsica e ingenierÃa mecánica y eléctrica, asà como para estudiantes de posgrado. en estas disciplinas, y a otros profesionales que utilizan la integración como herramienta esencial en su trabajo. Nota de contenido: An L1-Product-Integration Method in Astrophysics -- Differential Operators and Approximation Processes Generated by Markov Operators -- Analysis of Boundary-Domain Integral Equations for Variable-Coefficient BVPs in 2D: I. Neumann Problem -- A Measure of the Torsional Performances of Partially Hinged Rectangular Plates -- On a Class of Integral Equations Involving Kernels of Cosine and Sine Type -- The Simple-Layer Potential Approach to the Dirichlet Problem: An Extension to Higher Dimensions of Muskhelishvili Method and Applications -- Bending of Elastic Plates: Generalized Fourier Series Method -- Existence and Uniqueness Results for a Class of Singular Elliptic Problems in Two-Component Domains -- Fredholmness of Nonlocal Singular Integral Operators with Slowly Oscillating Data -- Multidimensional Time Fractional Diffusion Equation -- On Homogenization of Nonlinear Robin Type Boundary Conditions for the n-Laplacian in n-Dimensional Perforated Domains -- Interior Transmission Eigenvalues for Anisotropic Media -- Improvement of the Inside-Outside Duality Method -- A Note on Optimal Design for Thin Structures in the Orlicz–Sobolev Setting -- On the Radiative Conductive Transfer Equation: A Heuristic Convergence Criterion by Stability Analysis -- An Indirect Boundary Integral Equation Method for Boundary Value Problems in Elastostatics -- An Instability Result for Suspension Bridges -- A New Diffeomorph Conformal Methodology to Solve Flow Problems with Complex Boundaries by an Equivalent Plane Parallel Problem -- A New Family of Boundary-Domain Integral Equations for the Mixed Exterior Stationary Heat Transfer with Variable Coefficient -- Radiation Conditions and Integral Representations for Clifford Algebra-Valued Null-Solutions of the Iterated Helmholtz Operator -- A Wiener-Hopf System of Equations in the Steady-State Propagation of a Rectilinear Crack in an Infinite Elastic Plate -- Mono-energetic Neutron Space-Kinetics in Full Cylinder Symmetry: Simulating Power Decrease -- Asymptotic Solutions of Maxwell's Equations in a Layered Periodic Structure -- Some Properties of the Fractional Circle Zernike Polynomials -- Double Laplace Transform and Explicit Fractional Analogue of 2D Laplacian -- Stability of the Laplace Single Layer Boundary Integral Operator in Sobolev Spaces -- Spectral Lanczos' Tau Method for Systems of Nonlinear Integro-differential Equations -- Discreteness, Periodicity, Holomorphy, and Factorization -- Modes Coupling Seismic Waves and Vibrating Buildings: Existence -- Index. . Tipo de medio : Computadora Summary : This contributed volume contains a collection of articles on the most recent advances in integral methods. The first of two volumes, this work focuses on the construction of theoretical integral methods. Written by internationally recognized researchers, the chapters in this book are based on talks given at the Fourteenth International Conference on Integral Methods in Science and Engineering, held July 25-29, 2016, in Padova, Italy. A broad range of topics is addressed, such as: • Integral equations • Homogenization • Duality methods • Optimal design • Conformal techniques This collection will be of interest to researchers in applied mathematics, physics, and mechanical and electrical engineering, as well as graduate students in these disciplines, and to other professionals who use integration as an essential tool in their work. Enlace de acceso : https://link-springer-com.biblioproxy.umanizales.edu.co/referencework/10.1007/97 [...]
TÃtulo : Integral Methods in Science and Engineering, Volume 2 : Practical Applications Tipo de documento: documento electrónico Autores: Constanda, Christian, ; Dalla Riva, Matteo, ; Lamberti, Pier Domenico, ; Musolino, Paolo, Mención de edición: 1 ed. Editorial: [s.l.] : Springer Fecha de publicación: 2017 Número de páginas: XXIV, 312 p. 158 ilustraciones, 83 ilustraciones en color. ISBN/ISSN/DL: 978-3-319-59387-6 Nota general: Libro disponible en la plataforma SpringerLink. Descarga y lectura en formatos PDF, HTML y ePub. Descarga completa o por capítulos. Idioma : Inglés (eng) Palabras clave: Ecuaciones diferenciales Análisis numérico Ecuaciones integrales Clasificación: 515.35 Resumen: Este volumen contribuido contiene una colección de artÃculos sobre los avances más recientes en métodos integrales. Este trabajo, el segundo de dos volúmenes, se centra en las aplicaciones de métodos integrales a problemas especÃficos en ciencia e ingenierÃa. Escritos por investigadores reconocidos internacionalmente, los capÃtulos de este libro se basan en charlas impartidas en la Decimocuarta Conferencia Internacional sobre Métodos Integrales en Ciencia e IngenierÃa, celebrada del 25 al 29 de julio de 2016 en Padua, Italia. Se aborda una amplia gama de temas, tales como: • Elementos lÃmite • Problemas de transporte • Valoración de opciones • Yacimientos de gas • Dispersión electromagnética Esta colección será de interés para investigadores en matemáticas aplicadas, fÃsica e ingenierÃa mecánica y petrolera, asà como para estudiantes de posgrado. estudiantes de estas disciplinas, y a otros profesionales que utilizan la integración como herramienta esencial en su trabajo. Nota de contenido: On a Continuous Energy Monte Carlo Simulator for Neutron Transport: Optimisiation with Fission, Intermediate, and Thermal Distributions -- The Use of Similarity Indices in the Analysis of Temporal Distribution of Mammals -- The Method of Superposition for Near-Field Acoustic Holography in a Semi-anechoic Chamber -- Application of Stochastic Dynamic Programming in Demand Dispatch-ased Optimal Operation of a Micro-grid -- Spectral Boundary Element Algorithms for Multi-Length Interfacial Dynamics -- Kinect Depth Recovery Based on Local Filters and Plane Primitives -- On the Neutron Point Kinetic Equation with Reactivity Decomposition Based on Two Time Scales -- Iterated Kantorovich vs Kulkarni Method for Fredholm Integral Equations -- Infiltration Simulation in Porous Media: A Universal Functional Solution for Unsaturated Media -- Mathematical Models of Cell Clustering Due to Chemotaxis -- An Acceleration Approach for Fracture Problems in the Extended Boundary Element Method (XBEM) Framework -- Flux Characterization in Heterogeneous Transport Problems by the Boundary Integral Method -- GPU Based Mixed Precision PWR depletion Calculation -- 2D Gauss-Hermite Quadrature Method for Jump-Diffusion PIDE Option Pricing Models -- Online Traffic Prediction Using Time Series: A Case Study -- Mathematical Modeling of One-Dimensional Oil Displacement by Combined Solvent-Thermal Flooding -- Collocation Methods for Solving Two-Dimensional Neural Field Models on Complex Triangulated Domains -- Kulkarni Method for the Generalized Airfoil Equation -- Droplet Deposition and Coalescence in Curved Pipes -- Shifting Strategy in the Spectral Analysis for the Spectral Green's Function Nodal Method for Slab-Geometry Adjoin Transport Problems in the Discrete Ordinates Formulation -- A Metaheuristic Approach for an Optimized Design of a Silicon Carbide Operational Amplifier -- Severe Precipitation in Brazil: Data Mining Approach -- Shifting the Boundary Conditions to the Middle Surface in the Numerical Solution of Neumann Boundary Value Problems Using Integral Equations -- Performance Assessment of a New FFT Based High Impedance Fault Detection Scheme -- H2 Matrix and Integral Equation for Electromagnetic Scattering by a Perfectly Conducting Object -- Fast Parameter Estimation for Cancer Cell Progression and Response to Therapy -- Development of a Poroelastic Model of Spinal Cord Cavities -- A Semi-analytical Solution for a Buildup Test for a Horizontal Well in an Anisotropic Gas Reservoir -- Counter-Gradient Term Applied to the Turbulence Parameterization in the BRAMS -- Index. Tipo de medio : Computadora Summary : This contributed volume contains a collection of articles on the most recent advances in integral methods. The second of two volumes, this work focuses on the applications of integral methods to specific problems in science and engineering. Written by internationally recognized researchers, the chapters in this book are based on talks given at the Fourteenth International Conference on Integral Methods in Science and Engineering, held July 25-29, 2016, in Padova, Italy. A broad range of topics is addressed, such as: • Boundary elements • Transport problems • Option pricing • Gas reservoirs • Electromagnetic scattering This collection will be of interest to researchers in applied mathematics, physics, and mechanical and petroleum engineering, as well as graduate students in these disciplines, and to other professionals who use integration as an essential tool in their work. Enlace de acceso : https://link-springer-com.biblioproxy.umanizales.edu.co/referencework/10.1007/97 [...] Integral Methods in Science and Engineering, Volume 2 : Practical Applications [documento electrónico] / Constanda, Christian, ; Dalla Riva, Matteo, ; Lamberti, Pier Domenico, ; Musolino, Paolo, . - 1 ed. . - [s.l.] : Springer, 2017 . - XXIV, 312 p. 158 ilustraciones, 83 ilustraciones en color.
ISBN : 978-3-319-59387-6
Libro disponible en la plataforma SpringerLink. Descarga y lectura en formatos PDF, HTML y ePub. Descarga completa o por capítulos.
Idioma : Inglés (eng)
Palabras clave: Ecuaciones diferenciales Análisis numérico Ecuaciones integrales Clasificación: 515.35 Resumen: Este volumen contribuido contiene una colección de artÃculos sobre los avances más recientes en métodos integrales. Este trabajo, el segundo de dos volúmenes, se centra en las aplicaciones de métodos integrales a problemas especÃficos en ciencia e ingenierÃa. Escritos por investigadores reconocidos internacionalmente, los capÃtulos de este libro se basan en charlas impartidas en la Decimocuarta Conferencia Internacional sobre Métodos Integrales en Ciencia e IngenierÃa, celebrada del 25 al 29 de julio de 2016 en Padua, Italia. Se aborda una amplia gama de temas, tales como: • Elementos lÃmite • Problemas de transporte • Valoración de opciones • Yacimientos de gas • Dispersión electromagnética Esta colección será de interés para investigadores en matemáticas aplicadas, fÃsica e ingenierÃa mecánica y petrolera, asà como para estudiantes de posgrado. estudiantes de estas disciplinas, y a otros profesionales que utilizan la integración como herramienta esencial en su trabajo. Nota de contenido: On a Continuous Energy Monte Carlo Simulator for Neutron Transport: Optimisiation with Fission, Intermediate, and Thermal Distributions -- The Use of Similarity Indices in the Analysis of Temporal Distribution of Mammals -- The Method of Superposition for Near-Field Acoustic Holography in a Semi-anechoic Chamber -- Application of Stochastic Dynamic Programming in Demand Dispatch-ased Optimal Operation of a Micro-grid -- Spectral Boundary Element Algorithms for Multi-Length Interfacial Dynamics -- Kinect Depth Recovery Based on Local Filters and Plane Primitives -- On the Neutron Point Kinetic Equation with Reactivity Decomposition Based on Two Time Scales -- Iterated Kantorovich vs Kulkarni Method for Fredholm Integral Equations -- Infiltration Simulation in Porous Media: A Universal Functional Solution for Unsaturated Media -- Mathematical Models of Cell Clustering Due to Chemotaxis -- An Acceleration Approach for Fracture Problems in the Extended Boundary Element Method (XBEM) Framework -- Flux Characterization in Heterogeneous Transport Problems by the Boundary Integral Method -- GPU Based Mixed Precision PWR depletion Calculation -- 2D Gauss-Hermite Quadrature Method for Jump-Diffusion PIDE Option Pricing Models -- Online Traffic Prediction Using Time Series: A Case Study -- Mathematical Modeling of One-Dimensional Oil Displacement by Combined Solvent-Thermal Flooding -- Collocation Methods for Solving Two-Dimensional Neural Field Models on Complex Triangulated Domains -- Kulkarni Method for the Generalized Airfoil Equation -- Droplet Deposition and Coalescence in Curved Pipes -- Shifting Strategy in the Spectral Analysis for the Spectral Green's Function Nodal Method for Slab-Geometry Adjoin Transport Problems in the Discrete Ordinates Formulation -- A Metaheuristic Approach for an Optimized Design of a Silicon Carbide Operational Amplifier -- Severe Precipitation in Brazil: Data Mining Approach -- Shifting the Boundary Conditions to the Middle Surface in the Numerical Solution of Neumann Boundary Value Problems Using Integral Equations -- Performance Assessment of a New FFT Based High Impedance Fault Detection Scheme -- H2 Matrix and Integral Equation for Electromagnetic Scattering by a Perfectly Conducting Object -- Fast Parameter Estimation for Cancer Cell Progression and Response to Therapy -- Development of a Poroelastic Model of Spinal Cord Cavities -- A Semi-analytical Solution for a Buildup Test for a Horizontal Well in an Anisotropic Gas Reservoir -- Counter-Gradient Term Applied to the Turbulence Parameterization in the BRAMS -- Index. Tipo de medio : Computadora Summary : This contributed volume contains a collection of articles on the most recent advances in integral methods. The second of two volumes, this work focuses on the applications of integral methods to specific problems in science and engineering. Written by internationally recognized researchers, the chapters in this book are based on talks given at the Fourteenth International Conference on Integral Methods in Science and Engineering, held July 25-29, 2016, in Padova, Italy. A broad range of topics is addressed, such as: • Boundary elements • Transport problems • Option pricing • Gas reservoirs • Electromagnetic scattering This collection will be of interest to researchers in applied mathematics, physics, and mechanical and petroleum engineering, as well as graduate students in these disciplines, and to other professionals who use integration as an essential tool in their work. Enlace de acceso : https://link-springer-com.biblioproxy.umanizales.edu.co/referencework/10.1007/97 [...]
TÃtulo : Singularly Perturbed Boundary Value Problems : A Functional Analytic Approach Tipo de documento: documento electrónico Autores: Dalla Riva, Matteo, ; Lanza de Cristoforis, Massimo, ; Musolino, Paolo, Mención de edición: 1 ed. Editorial: [s.l.] : Springer Fecha de publicación: 2021 Número de páginas: XVI, 672 p. 4 ilustraciones ISBN/ISSN/DL: 978-3-030-76259-9 Nota general: Libro disponible en la plataforma SpringerLink. Descarga y lectura en formatos PDF, HTML y ePub. Descarga completa o por capítulos. Idioma : Inglés (eng) Palabras clave: Análisis matemático TeorÃa del operador Análisis Clasificación: 515 Cálculo Resumen: Este libro está dedicado al análisis de los problemas básicos de valores en la frontera para la ecuación de Laplace en dominios singularmente perturbados. El objetivo principal es ilustrar un método llamado Enfoque AnalÃtico Funcional, para describir la dependencia de las soluciones de un parámetro de perturbación singular en términos de funciones analÃticas. Aquà el enfoque está en dominios con agujeros pequeños y el parámetro de perturbación es el tamaño de los agujeros. El libro es la primera introducción al tema y cubre el material teórico y sus aplicaciones a una serie de problemas que van desde ejemplos ilustrativos simples hasta resultados de investigación más complejos. El Enfoque AnalÃtico Funcional hace uso constante del método de representación integral para las soluciones de problemas de valores en la frontera, de la TeorÃa del Potencial, de la TeorÃa de Funciones AnalÃticas tanto en dimensión finita como infinita, y del Análisis Funcional No Lineal. Diseñado para servir a varios propósitos y lectores, la extensa parte introductoria que abarca los CapÃtulos 1 a 7 puede usarse como un libro de texto de referencia para cursos de posgrado sobre la TeorÃa del Potencial clásica y sus aplicaciones a problemas de valores en la frontera. Los primeros capÃtulos también contienen resultados que rara vez se presentan en la literatura y, por lo tanto, también pueden atraer el interés de los lectores más expertos. La exposición continúa con la introducción del enfoque analÃtico funcional. Un lector que busque una introducción rápida al método puede encontrar ejemplos ilustrativos simples diseñados especÃficamente para este propósito. Los lectores más expertos encontrarán una presentación completa del enfoque analÃtico funcional, que permite una comparación entre el enfoque del libro y los métodos de expansión más clásicos del análisis asintótico y ofrece información sobre las caracterÃsticas especÃficas del enfoque y sus aplicaciones a problemas de valores en la frontera lineales y no lineales. Nota de contenido: 1. Introduction -- 2. Preliminaries -- 3. Preliminaries on Harmonic Functions -- 4. Green Identities and Layer Potentials -- 5. Preliminaries on the Fredholm Alternative Principle -- 6. Boundary Value Problems and Boundary Integral Operators -- 7. Poisson Equation and Volume Potentials -- 8. A Dirichlet Problem in a Domain with a Small Hole -- 9. Other Problems with Linear Boundary Conditions in a Domain with a Small Hole -- 10. A Dirichlet Problem in a Domain with Two Small Holes -- 11. Nonlinear Boundary Value Problems in Domains with a Small Hole -- 12. Boundary Value Problems in Periodic Domains, A Potential Theoretic Approach -- 13. Singular Perturbation Problems in Periodic Domains -- Appendix -- References -- Index. Tipo de medio : Computadora Summary : This book is devoted to the analysis of the basic boundary value problems for the Laplace equation in singularly perturbed domains. The main purpose is to illustrate a method called Functional Analytic Approach, to describe the dependence of the solutions upon a singular perturbation parameter in terms of analytic functions. Here the focus is on domains with small holes and the perturbation parameter is the size of the holes. The book is the first introduction to the topic and covers the theoretical material and its applications to a series of problems that range from simple illustrative examples to more involved research results. The Functional Analytic Approach makes constant use of the integral representation method for the solutions of boundary value problems, of Potential Theory, of the Theory of Analytic Functions both in finite and infinite dimension, and of Nonlinear Functional Analysis. Designed to serve various purposes and readerships, the extensive introductory part spanning Chapters 1–7 can be used as a reference textbook for graduate courses on classical Potential Theory and its applications to boundary value problems. The early chapters also contain results that are rarely presented in the literature and may also, therefore, attract the interest of more expert readers. The exposition moves on to introduce the Functional Analytic Approach. A reader looking for a quick introduction to the method can find simple illustrative examples specifically designed for this purpose. More expert readers will find a comprehensive presentation of the Functional Analytic Approach, which allows a comparison between the approach of the book and the more classical expansion methods of Asymptotic Analysis and offers insights on the specific features of the approach and its applications to linear and nonlinear boundary value problems. Enlace de acceso : https://link-springer-com.biblioproxy.umanizales.edu.co/referencework/10.1007/97 [...] Singularly Perturbed Boundary Value Problems : A Functional Analytic Approach [documento electrónico] / Dalla Riva, Matteo, ; Lanza de Cristoforis, Massimo, ; Musolino, Paolo, . - 1 ed. . - [s.l.] : Springer, 2021 . - XVI, 672 p. 4 ilustraciones.
ISBN : 978-3-030-76259-9
Libro disponible en la plataforma SpringerLink. Descarga y lectura en formatos PDF, HTML y ePub. Descarga completa o por capítulos.
Idioma : Inglés (eng)
Palabras clave: Análisis matemático TeorÃa del operador Análisis Clasificación: 515 Cálculo Resumen: Este libro está dedicado al análisis de los problemas básicos de valores en la frontera para la ecuación de Laplace en dominios singularmente perturbados. El objetivo principal es ilustrar un método llamado Enfoque AnalÃtico Funcional, para describir la dependencia de las soluciones de un parámetro de perturbación singular en términos de funciones analÃticas. Aquà el enfoque está en dominios con agujeros pequeños y el parámetro de perturbación es el tamaño de los agujeros. El libro es la primera introducción al tema y cubre el material teórico y sus aplicaciones a una serie de problemas que van desde ejemplos ilustrativos simples hasta resultados de investigación más complejos. El Enfoque AnalÃtico Funcional hace uso constante del método de representación integral para las soluciones de problemas de valores en la frontera, de la TeorÃa del Potencial, de la TeorÃa de Funciones AnalÃticas tanto en dimensión finita como infinita, y del Análisis Funcional No Lineal. Diseñado para servir a varios propósitos y lectores, la extensa parte introductoria que abarca los CapÃtulos 1 a 7 puede usarse como un libro de texto de referencia para cursos de posgrado sobre la TeorÃa del Potencial clásica y sus aplicaciones a problemas de valores en la frontera. Los primeros capÃtulos también contienen resultados que rara vez se presentan en la literatura y, por lo tanto, también pueden atraer el interés de los lectores más expertos. La exposición continúa con la introducción del enfoque analÃtico funcional. Un lector que busque una introducción rápida al método puede encontrar ejemplos ilustrativos simples diseñados especÃficamente para este propósito. Los lectores más expertos encontrarán una presentación completa del enfoque analÃtico funcional, que permite una comparación entre el enfoque del libro y los métodos de expansión más clásicos del análisis asintótico y ofrece información sobre las caracterÃsticas especÃficas del enfoque y sus aplicaciones a problemas de valores en la frontera lineales y no lineales. Nota de contenido: 1. Introduction -- 2. Preliminaries -- 3. Preliminaries on Harmonic Functions -- 4. Green Identities and Layer Potentials -- 5. Preliminaries on the Fredholm Alternative Principle -- 6. Boundary Value Problems and Boundary Integral Operators -- 7. Poisson Equation and Volume Potentials -- 8. A Dirichlet Problem in a Domain with a Small Hole -- 9. Other Problems with Linear Boundary Conditions in a Domain with a Small Hole -- 10. A Dirichlet Problem in a Domain with Two Small Holes -- 11. Nonlinear Boundary Value Problems in Domains with a Small Hole -- 12. Boundary Value Problems in Periodic Domains, A Potential Theoretic Approach -- 13. Singular Perturbation Problems in Periodic Domains -- Appendix -- References -- Index. Tipo de medio : Computadora Summary : This book is devoted to the analysis of the basic boundary value problems for the Laplace equation in singularly perturbed domains. The main purpose is to illustrate a method called Functional Analytic Approach, to describe the dependence of the solutions upon a singular perturbation parameter in terms of analytic functions. Here the focus is on domains with small holes and the perturbation parameter is the size of the holes. The book is the first introduction to the topic and covers the theoretical material and its applications to a series of problems that range from simple illustrative examples to more involved research results. The Functional Analytic Approach makes constant use of the integral representation method for the solutions of boundary value problems, of Potential Theory, of the Theory of Analytic Functions both in finite and infinite dimension, and of Nonlinear Functional Analysis. Designed to serve various purposes and readerships, the extensive introductory part spanning Chapters 1–7 can be used as a reference textbook for graduate courses on classical Potential Theory and its applications to boundary value problems. The early chapters also contain results that are rarely presented in the literature and may also, therefore, attract the interest of more expert readers. The exposition moves on to introduce the Functional Analytic Approach. A reader looking for a quick introduction to the method can find simple illustrative examples specifically designed for this purpose. More expert readers will find a comprehensive presentation of the Functional Analytic Approach, which allows a comparison between the approach of the book and the more classical expansion methods of Asymptotic Analysis and offers insights on the specific features of the approach and its applications to linear and nonlinear boundary value problems. Enlace de acceso : https://link-springer-com.biblioproxy.umanizales.edu.co/referencework/10.1007/97 [...]
