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Título : Homotopy Analysis Method in Nonlinear Differential Equations Tipo de documento: documento electrónico Autores: Shijun Liao ; SpringerLink (Online service) Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2012 Número de páginas: X, 400 p. 50 illus Il.: online resource ISBN/ISSN/DL: 978-3-642-25132-0 Idioma : Inglés (eng) Palabras clave: Mathematics Differential equations Partial differential Statistical physics Applied mathematics Engineering Equations Nonlinear Dynamics Appl.Mathematics/Computational Methods of Ordinary Clasificación: 51 Matemáticas Resumen: "Homotopy Analysis Method in Nonlinear Differential Equations" presents the latest developments and applications of the analytic approximation method for highly nonlinear problems, namely the homotopy analysis method (HAM). Unlike perturbation methods, the HAM has nothing to do with small/large physical parameters. In addition, it provides great freedom to choose the equation-type of linear sub-problems and the base functions of a solution. Above all, it provides a convenient way to guarantee the convergence of a solution. This book consists of three parts. Part I provides its basic ideas and theoretical development. Part II presents the HAM-based Mathematica package BVPh 1.0 for nonlinear boundary-value problems and its applications. Part III shows the validity of the HAM for nonlinear PDEs, such as the American put option and resonance criterion of nonlinear travelling waves. New solutions to a number of nonlinear problems are presented, illustrating the originality of the HAM. Mathematica codes are freely available online to make it easy for readers to understand and use the HAM. This book is suitable for researchers and postgraduates in applied mathematics, physics, nonlinear mechanics, finance and engineering. Dr. Shijun Liao, a distinguished professor of Shanghai Jiaotong University, is a pioneer of the HAM. Nota de contenido: Basic Ideas -- Systematic Descriptions -- Advanced Approaches -- Convergent Series For Divergent Taylor Series -- Nonlinear Initial Value Problems -- Nonlinear Eigenvalue Problems -- Nonlinear Problems In Heat Transfer -- Nonlinear Problems With Free Or Moving Boundary -- Steady-State Similarity Boundary-Layer Flows -- Unsteady Similarity Boundary-Layer Flows -- Non-Similarity Boundary-Layer Flows -- Applications In Numerical Methods En línea: http://dx.doi.org/10.1007/978-3-642-25132-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32952 Homotopy Analysis Method in Nonlinear Differential Equations [documento electrónico] / Shijun Liao ; SpringerLink (Online service) . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2012 . - X, 400 p. 50 illus : online resource.
ISBN : 978-3-642-25132-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Differential equations Partial differential Statistical physics Applied mathematics Engineering Equations Nonlinear Dynamics Appl.Mathematics/Computational Methods of Ordinary Clasificación: 51 Matemáticas Resumen: "Homotopy Analysis Method in Nonlinear Differential Equations" presents the latest developments and applications of the analytic approximation method for highly nonlinear problems, namely the homotopy analysis method (HAM). Unlike perturbation methods, the HAM has nothing to do with small/large physical parameters. In addition, it provides great freedom to choose the equation-type of linear sub-problems and the base functions of a solution. Above all, it provides a convenient way to guarantee the convergence of a solution. This book consists of three parts. Part I provides its basic ideas and theoretical development. Part II presents the HAM-based Mathematica package BVPh 1.0 for nonlinear boundary-value problems and its applications. Part III shows the validity of the HAM for nonlinear PDEs, such as the American put option and resonance criterion of nonlinear travelling waves. New solutions to a number of nonlinear problems are presented, illustrating the originality of the HAM. Mathematica codes are freely available online to make it easy for readers to understand and use the HAM. This book is suitable for researchers and postgraduates in applied mathematics, physics, nonlinear mechanics, finance and engineering. Dr. Shijun Liao, a distinguished professor of Shanghai Jiaotong University, is a pioneer of the HAM. Nota de contenido: Basic Ideas -- Systematic Descriptions -- Advanced Approaches -- Convergent Series For Divergent Taylor Series -- Nonlinear Initial Value Problems -- Nonlinear Eigenvalue Problems -- Nonlinear Problems In Heat Transfer -- Nonlinear Problems With Free Or Moving Boundary -- Steady-State Similarity Boundary-Layer Flows -- Unsteady Similarity Boundary-Layer Flows -- Non-Similarity Boundary-Layer Flows -- Applications In Numerical Methods En línea: http://dx.doi.org/10.1007/978-3-642-25132-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32952 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Solving Nonlinear Partial Differential Equations with Maple and Mathematica / Inna K. Shingareva (2011)
Título : Solving Nonlinear Partial Differential Equations with Maple and Mathematica Tipo de documento: documento electrónico Autores: Inna K. Shingareva ; SpringerLink (Online service) ; Carlos Lizárraga-Celaya Editorial: Vienna : Springer Vienna Fecha de publicación: 2011 Número de páginas: XIII, 357 p Il.: online resource ISBN/ISSN/DL: 978-3-7091-0517-7 Idioma : Inglés (eng) Palabras clave: Mathematics Partial differential equations Statistical physics Applied mathematics Engineering Differential Equations Nonlinear Dynamics Appl.Mathematics/Computational Methods of Clasificación: 51 Matemáticas Resumen: The emphasis of this work is on constructing different types of solutions (exact, approximate analytical, numerical, graphical) of numerous nonlinear PDEs correctly, easily, and quickly. The reader can learn a wide variety of techniques and solve numerous nonlinear PDEs included and many other differential equations, simplifying and transforming the equations and solutions, arbitrary functions and parameters, presented in the book). Numerous comparisons and relationships between various types of solutions, different methods and approaches are provided, the results obtained in Maple and Mathematica, facilitates a deeper understanding of the subject En línea: http://dx.doi.org/10.1007/978-3-7091-0517-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33443 Solving Nonlinear Partial Differential Equations with Maple and Mathematica [documento electrónico] / Inna K. Shingareva ; SpringerLink (Online service) ; Carlos Lizárraga-Celaya . - Vienna : Springer Vienna, 2011 . - XIII, 357 p : online resource.
ISBN : 978-3-7091-0517-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Partial differential equations Statistical physics Applied mathematics Engineering Differential Equations Nonlinear Dynamics Appl.Mathematics/Computational Methods of Clasificación: 51 Matemáticas Resumen: The emphasis of this work is on constructing different types of solutions (exact, approximate analytical, numerical, graphical) of numerous nonlinear PDEs correctly, easily, and quickly. The reader can learn a wide variety of techniques and solve numerous nonlinear PDEs included and many other differential equations, simplifying and transforming the equations and solutions, arbitrary functions and parameters, presented in the book). Numerous comparisons and relationships between various types of solutions, different methods and approaches are provided, the results obtained in Maple and Mathematica, facilitates a deeper understanding of the subject En línea: http://dx.doi.org/10.1007/978-3-7091-0517-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33443 Ejemplares
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Título : Spectral and Dynamical Stability of Nonlinear Waves Tipo de documento: documento electrónico Autores: Todd Kapitula ; SpringerLink (Online service) ; Keith Promislow Editorial: New York, NY : Springer New York Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: Applied Mathematical Sciences, ISSN 0066-5452 num. 185 Número de páginas: XIII, 361 p Il.: online resource ISBN/ISSN/DL: 978-1-4614-6995-7 Idioma : Inglés (eng) Palabras clave: Mathematics Dynamics Ergodic theory Partial differential equations Statistical physics Differential Equations Nonlinear Dynamical Systems and Theory Clasificación: 51 Matemáticas Resumen: This book unifies the dynamical systems and functional analysis approaches to the linear and nonlinear stability of waves. It synthesizes fundamental ideas of the past 20+ years of research, carefully balancing theory and application. The book isolates and methodically develops key ideas by working through illustrative examples that are subsequently synthesized into general principles. Many of the seminal examples of stability theory, including orbital stability of the KdV solitary wave, and asymptotic stability of viscous shocks for scalar conservation laws, are treated in a textbook fashion for the first time. It presents spectral theory from a dynamical systems and functional analytic point of view, including essential and absolute spectra, and develops general nonlinear stability results for dissipative and Hamiltonian systems. The structure of the linear eigenvalue problem for Hamiltonian systems is carefully developed, including the Krein signature and related stability indices. The Evans function for the detection of point spectra is carefully developed through a series of frameworks of increasing complexity. Applications of the Evans function to the Orientation index, edge bifurcations, and large domain limits are developed through illustrative examples. The book is intended for first or second year graduate students in mathematics, or those with equivalent mathematical maturity. It is highly illustrated and there are many exercises scattered throughout the text that highlight and emphasize the key concepts. Upon completion of the book, the reader will be in an excellent position to understand and contribute to current research in nonlinear stability Nota de contenido: Introduction -- Background material and notation -- Essential and absolute spectra -- Dynamical implications of spectra: dissipative systems -- Dynamical implications of spectra: Hamiltonian systems -- Dynamical implications of spectra: Hamiltonian systems -- Point spectrum: reduction to finite-rank eigenvalue problems -- Point spectrum: linear Hamiltonian systems -- The Evans function for boundary value problems -- The Evans function for Sturm-Liouville operators on the real line -- The Evans function for nth-order operators on the real line -- Index -- References. En línea: http://dx.doi.org/10.1007/978-1-4614-6995-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32331 Spectral and Dynamical Stability of Nonlinear Waves [documento electrónico] / Todd Kapitula ; SpringerLink (Online service) ; Keith Promislow . - New York, NY : Springer New York : Imprint: Springer, 2013 . - XIII, 361 p : online resource. - (Applied Mathematical Sciences, ISSN 0066-5452; 185) .
ISBN : 978-1-4614-6995-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Dynamics Ergodic theory Partial differential equations Statistical physics Differential Equations Nonlinear Dynamical Systems and Theory Clasificación: 51 Matemáticas Resumen: This book unifies the dynamical systems and functional analysis approaches to the linear and nonlinear stability of waves. It synthesizes fundamental ideas of the past 20+ years of research, carefully balancing theory and application. The book isolates and methodically develops key ideas by working through illustrative examples that are subsequently synthesized into general principles. Many of the seminal examples of stability theory, including orbital stability of the KdV solitary wave, and asymptotic stability of viscous shocks for scalar conservation laws, are treated in a textbook fashion for the first time. It presents spectral theory from a dynamical systems and functional analytic point of view, including essential and absolute spectra, and develops general nonlinear stability results for dissipative and Hamiltonian systems. The structure of the linear eigenvalue problem for Hamiltonian systems is carefully developed, including the Krein signature and related stability indices. The Evans function for the detection of point spectra is carefully developed through a series of frameworks of increasing complexity. Applications of the Evans function to the Orientation index, edge bifurcations, and large domain limits are developed through illustrative examples. The book is intended for first or second year graduate students in mathematics, or those with equivalent mathematical maturity. It is highly illustrated and there are many exercises scattered throughout the text that highlight and emphasize the key concepts. Upon completion of the book, the reader will be in an excellent position to understand and contribute to current research in nonlinear stability Nota de contenido: Introduction -- Background material and notation -- Essential and absolute spectra -- Dynamical implications of spectra: dissipative systems -- Dynamical implications of spectra: Hamiltonian systems -- Dynamical implications of spectra: Hamiltonian systems -- Point spectrum: reduction to finite-rank eigenvalue problems -- Point spectrum: linear Hamiltonian systems -- The Evans function for boundary value problems -- The Evans function for Sturm-Liouville operators on the real line -- The Evans function for nth-order operators on the real line -- Index -- References. En línea: http://dx.doi.org/10.1007/978-1-4614-6995-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32331 Ejemplares
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Título : Complex Networks and Dynamics : Social and Economic Interactions Tipo de documento: documento electrónico Autores: Pasquale Commendatore ; SpringerLink (Online service) ; Mariano Matilla García ; Luis M. Varela ; Jose S. Cánovas Editorial: Cham : Springer International Publishing Fecha de publicación: 2016 Otro editor: Imprint: Springer Colección: Lecture Notes in Economics and Mathematical Systems, ISSN 0075-8442 num. 683 Número de páginas: XIII, 359 p. 77 illus., 35 illus. in color Il.: online resource ISBN/ISSN/DL: 978-3-319-40803-3 Idioma : Inglés (eng) Palabras clave: Game theory System Complexity, Computational Economic Economics Theory/Quantitative Economics/Mathematical Methods Complex Systems Complexity Theory, Economics, Social and Behav. Sciences Applications of Nonlinear Dynamics Chaos Theory Clasificación: 330 Economía en general Resumen: This volume sheds light on the current state of complex networks and nonlinear dynamics applied to the understanding of economic and social phenomena ranging from geographical economics to macroeconomics and finance, and its purpose is to give readers an overview of several interesting topics for research at an intermediate level. Three different and interdisciplinary, but complementary, aspects of networks are put together in a single piece, namely: (i) complex networks theory, (ii) applied network analysis to social and economic interrelations, and (iii) dynamical evolution of systems and networks. The volume includes contributions from excellent scholars in economics and social sciences as well as leading experts in the fields of complex networks and nonlinear dynamics Nota de contenido: Part I. Complex Networks -- Chapter 1.Luis Miguel Varela Cabo, Giulia Rotundo: Complex network analysis and nonlinear dynamics.-Chapter 2.Dunia López Pintado: An Overview of Diffusion in Complex Networks -- Chapter 3.Ugo Merlone, Davide Radi, Angelo Romano: Opinion Dynamics on Networks -- Chapter 4.Mariano Matilla-García and Jesus Mur: Econometric aspects of social networks -- Chapter 5.Antonio Rodriguez-Moral and Marc Vorsatz: An overview of the measurement of segregation: classical approaches and social networks -- Part II: Complex network analysis applied to economic theoretical and empirical issues -- Chapter 6.Roberto Basile, Pasquale Commendatore, Luca De Benedictis and Ingrid Kubin: An investigation of interregional trade network structures -- Chapter 7.Giorgio Fagiolo: The Empirics of Macroeconomic Networks: A Critical Review -- Chapter 8.Spiros Bougheas and Alan Kirman: Bank Insolvencies, Priority Claims and Systemic Risk -- Chapter 9.Anna Maria D'Arcangelis and Giulia Rotundo: Complex networks in finance -- Part III: Dynamical systems -- Chapter 10. Ian Stewart: A Formal Setting for Network Dynamics -- Chapter 11.Jose S. Cánovas and Maria Munoz Guillermo: Dynamics on large sets and its applications to oligopoly dynamics -- Chapter 12.Giovanny Guerrero, Jose A. Langa and Antonio Suarez: Attracting complex networks -- Chapter 13.Tönu Puu: Good Old Economic Geography En línea: http://dx.doi.org/10.1007/978-3-319-40803-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=41679 Complex Networks and Dynamics : Social and Economic Interactions [documento electrónico] / Pasquale Commendatore ; SpringerLink (Online service) ; Mariano Matilla García ; Luis M. Varela ; Jose S. Cánovas . - Cham : Springer International Publishing : Imprint: Springer, 2016 . - XIII, 359 p. 77 illus., 35 illus. in color : online resource. - (Lecture Notes in Economics and Mathematical Systems, ISSN 0075-8442; 683) .
ISBN : 978-3-319-40803-3
Idioma : Inglés (eng)
Palabras clave: Game theory System Complexity, Computational Economic Economics Theory/Quantitative Economics/Mathematical Methods Complex Systems Complexity Theory, Economics, Social and Behav. Sciences Applications of Nonlinear Dynamics Chaos Theory Clasificación: 330 Economía en general Resumen: This volume sheds light on the current state of complex networks and nonlinear dynamics applied to the understanding of economic and social phenomena ranging from geographical economics to macroeconomics and finance, and its purpose is to give readers an overview of several interesting topics for research at an intermediate level. Three different and interdisciplinary, but complementary, aspects of networks are put together in a single piece, namely: (i) complex networks theory, (ii) applied network analysis to social and economic interrelations, and (iii) dynamical evolution of systems and networks. The volume includes contributions from excellent scholars in economics and social sciences as well as leading experts in the fields of complex networks and nonlinear dynamics Nota de contenido: Part I. Complex Networks -- Chapter 1.Luis Miguel Varela Cabo, Giulia Rotundo: Complex network analysis and nonlinear dynamics.-Chapter 2.Dunia López Pintado: An Overview of Diffusion in Complex Networks -- Chapter 3.Ugo Merlone, Davide Radi, Angelo Romano: Opinion Dynamics on Networks -- Chapter 4.Mariano Matilla-García and Jesus Mur: Econometric aspects of social networks -- Chapter 5.Antonio Rodriguez-Moral and Marc Vorsatz: An overview of the measurement of segregation: classical approaches and social networks -- Part II: Complex network analysis applied to economic theoretical and empirical issues -- Chapter 6.Roberto Basile, Pasquale Commendatore, Luca De Benedictis and Ingrid Kubin: An investigation of interregional trade network structures -- Chapter 7.Giorgio Fagiolo: The Empirics of Macroeconomic Networks: A Critical Review -- Chapter 8.Spiros Bougheas and Alan Kirman: Bank Insolvencies, Priority Claims and Systemic Risk -- Chapter 9.Anna Maria D'Arcangelis and Giulia Rotundo: Complex networks in finance -- Part III: Dynamical systems -- Chapter 10. Ian Stewart: A Formal Setting for Network Dynamics -- Chapter 11.Jose S. Cánovas and Maria Munoz Guillermo: Dynamics on large sets and its applications to oligopoly dynamics -- Chapter 12.Giovanny Guerrero, Jose A. Langa and Antonio Suarez: Attracting complex networks -- Chapter 13.Tönu Puu: Good Old Economic Geography En línea: http://dx.doi.org/10.1007/978-3-319-40803-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=41679 Ejemplares
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Título : Discontinuous Dynamical Systems Tipo de documento: documento electrónico Autores: Albert C. J. Luo ; SpringerLink (Online service) Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2012 Número de páginas: XI, 692 p. 220 illus., 170 illus. in color Il.: online resource ISBN/ISSN/DL: 978-3-642-22461-4 Idioma : Inglés (eng) Palabras clave: Mathematics System theory Statistical physics Vibration Dynamical systems Dynamics Systems Theory, Control Nonlinear Vibration, Systems, Clasificación: 51 Matemáticas Resumen: “Discontinuous Dynamical Systems” presents a theory of dynamics and flow switchability in discontinuous dynamical systems, which can be as the mathematical foundation for a new dynamics of dynamical system networks. The book includes a theory for flow barriers and passability to boundaries in discontinuous dynamical systems that will completely change traditional concepts and ideas in the field of dynamical systems. Edge dynamics and switching complexity of flows in discontinuous dynamical systems are explored in the book and provide the mathematical basis for developing the attractive network channels in dynamical systems. The theory of bouncing flows to boundaries, edges and vertexes in discontinuous dynamical systems with multi-valued vector fields is described in the book as a “billiard” theory of dynamical system networks. The theory of dynamical system interactions in discontinued dynamical systems can be used as a general principle in dynamical system networks, which is applied to dynamical system synchronization. The book represents a valuable reference work for university professors and researchers in applied mathematics, physics, mechanics, and control. Dr. Albert C.J. Luo is an internationally respected professor in nonlinear dynamics and mechanics, and he works at Southern Illinois University Edwardsville, USA Nota de contenido: Introduction -- Introduction to Flow Passability -- Singularity and Flow Passability -- Flow Barriers and Switchability -- Transport Laws and Multi-valued Vector Fields -- Switchability and Attractivity of Domain Flows -- Dynamics and Singularity of Boundary Flows -- Edge Dynamics and Switching Complexity -- Dynamical System Interactions En línea: http://dx.doi.org/10.1007/978-3-642-22461-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32925 Discontinuous Dynamical Systems [documento electrónico] / Albert C. J. Luo ; SpringerLink (Online service) . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2012 . - XI, 692 p. 220 illus., 170 illus. in color : online resource.
ISBN : 978-3-642-22461-4
Idioma : Inglés (eng)
Palabras clave: Mathematics System theory Statistical physics Vibration Dynamical systems Dynamics Systems Theory, Control Nonlinear Vibration, Systems, Clasificación: 51 Matemáticas Resumen: “Discontinuous Dynamical Systems” presents a theory of dynamics and flow switchability in discontinuous dynamical systems, which can be as the mathematical foundation for a new dynamics of dynamical system networks. The book includes a theory for flow barriers and passability to boundaries in discontinuous dynamical systems that will completely change traditional concepts and ideas in the field of dynamical systems. Edge dynamics and switching complexity of flows in discontinuous dynamical systems are explored in the book and provide the mathematical basis for developing the attractive network channels in dynamical systems. The theory of bouncing flows to boundaries, edges and vertexes in discontinuous dynamical systems with multi-valued vector fields is described in the book as a “billiard” theory of dynamical system networks. The theory of dynamical system interactions in discontinued dynamical systems can be used as a general principle in dynamical system networks, which is applied to dynamical system synchronization. The book represents a valuable reference work for university professors and researchers in applied mathematics, physics, mechanics, and control. Dr. Albert C.J. Luo is an internationally respected professor in nonlinear dynamics and mechanics, and he works at Southern Illinois University Edwardsville, USA Nota de contenido: Introduction -- Introduction to Flow Passability -- Singularity and Flow Passability -- Flow Barriers and Switchability -- Transport Laws and Multi-valued Vector Fields -- Switchability and Attractivity of Domain Flows -- Dynamics and Singularity of Boundary Flows -- Edge Dynamics and Switching Complexity -- Dynamical System Interactions En línea: http://dx.doi.org/10.1007/978-3-642-22461-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32925 Ejemplares
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