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An Introduction to Delay Differential Equations with Applications to the Life Sciences / Smith, Hal (2011)
Título : An Introduction to Delay Differential Equations with Applications to the Life Sciences Tipo de documento: documento electrónico Autores: Smith, Hal ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2011 Colección: Texts in Applied Mathematics, ISSN 09392475 num. 57 Número de páginas: XI, 172 p Il.: online resource ISBN/ISSN/DL: 9781441976468 Idioma : Inglés (eng) Palabras clave: Mathematics Partial differential equations Applied mathematics Engineering Biomathematics Differential Equations Mathematical and Computational Biology Applications of Clasificación: 51 Matemáticas Resumen: This book is intended to be an introduction to Delay Differential Equations for upper level undergraduates or beginning graduate mathematics students who have a good background in ordinary differential equations and would like to learn about the applications. It may also be of interest to applied mathematicians, computational scientists, and engineers. It focuses on key tools necessary to understand the applications literature involving delay equations and to construct and analyze mathematical models. Aside from standard wellposedness results for the initial value problem, it focuses on stability of equilibria via linearization and Lyapunov functions and on Hopf bifurcation. It contains a brief introduction to abstract dynamical systems focused on those generated by delay equations, introducing limit sets and their properties. Differential inequalities play a significant role in applications and are treated here, along with an introduction to monotone systems generated by delay equations. The book contains some quite recent results such as the PoincareBendixson theory for monotone cyclic feedback systems, obtained by MalletParet and Sell. The linear chain trick for a special family of infinite delay equations is treated. The book is distinguished by the wealth of examples that are introduced and treated in detail. These include the delayed logistic equation, delayed chemostat model of microbial growth, inverted pendulum with delayed feedback control, a gene regulatory system, and an HIV transmission model. An entire chapter is devoted to the interesting dynamics exhibited by a chemostat model of bacteriophage parasitism of bacteria. The book has a large number of exercises and illustrations. Hal Smith is a Professor at the School of Mathematical and Statistical Sciences at Arizona State University. Nota de contenido: 1 Introduction.The Simplest Delay Equation.Delayed Negative Feedback: A WarmUp  Existence of Solutions  Linear Systems and Linearization  Semidynamical Systems and Delay Equations  Hopf Bifurcation  Distributed Delay Equations and the Linear Chain Trick  Phage and Bacteria in a Chemostat.References  Index En línea: http://dx.doi.org/10.1007/9781441976468 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33166 An Introduction to Delay Differential Equations with Applications to the Life Sciences [documento electrónico] / Smith, Hal ; SpringerLink (Online service) .  New York, NY : Springer New York, 2011 .  XI, 172 p : online resource.  (Texts in Applied Mathematics, ISSN 09392475; 57) .
ISBN : 9781441976468
Idioma : Inglés (eng)
Palabras clave: Mathematics Partial differential equations Applied mathematics Engineering Biomathematics Differential Equations Mathematical and Computational Biology Applications of Clasificación: 51 Matemáticas Resumen: This book is intended to be an introduction to Delay Differential Equations for upper level undergraduates or beginning graduate mathematics students who have a good background in ordinary differential equations and would like to learn about the applications. It may also be of interest to applied mathematicians, computational scientists, and engineers. It focuses on key tools necessary to understand the applications literature involving delay equations and to construct and analyze mathematical models. Aside from standard wellposedness results for the initial value problem, it focuses on stability of equilibria via linearization and Lyapunov functions and on Hopf bifurcation. It contains a brief introduction to abstract dynamical systems focused on those generated by delay equations, introducing limit sets and their properties. Differential inequalities play a significant role in applications and are treated here, along with an introduction to monotone systems generated by delay equations. The book contains some quite recent results such as the PoincareBendixson theory for monotone cyclic feedback systems, obtained by MalletParet and Sell. The linear chain trick for a special family of infinite delay equations is treated. The book is distinguished by the wealth of examples that are introduced and treated in detail. These include the delayed logistic equation, delayed chemostat model of microbial growth, inverted pendulum with delayed feedback control, a gene regulatory system, and an HIV transmission model. An entire chapter is devoted to the interesting dynamics exhibited by a chemostat model of bacteriophage parasitism of bacteria. The book has a large number of exercises and illustrations. Hal Smith is a Professor at the School of Mathematical and Statistical Sciences at Arizona State University. Nota de contenido: 1 Introduction.The Simplest Delay Equation.Delayed Negative Feedback: A WarmUp  Existence of Solutions  Linear Systems and Linearization  Semidynamical Systems and Delay Equations  Hopf Bifurcation  Distributed Delay Equations and the Linear Chain Trick  Phage and Bacteria in a Chemostat.References  Index En línea: http://dx.doi.org/10.1007/9781441976468 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33166 Ejemplares
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Título : Computational Electromagnetics Tipo de documento: documento electrónico Autores: Bondeson, Anders ; SpringerLink (Online service) ; Rylander, Thomas ; Ingelström, Par Editorial: New York, NY : Springer New York Fecha de publicación: 2005 Colección: Texts in Applied Mathematics, ISSN 09392475 num. 51 Número de páginas: XXII, 224 p. 74 illus Il.: online resource ISBN/ISSN/DL: 9780387261607 Idioma : Inglés (eng) Palabras clave: Mathematics Computer science Applied mathematics Engineering Optics Electrodynamics Electrical engineering Applications of and Computational Science Computing Clasificación: 51 Matemáticas Resumen: Computational Electromagnetics is a young and growing discipline, expanding as a result of the steadily increasing demand for software for the design and analysis of electrical devices. This book introduces three of the most popular numerical methods for simulating electromagnetic fields: the finite difference method, the finite element method and the method of moments. In particular it focuses on how these methods are used to obtain valid approximations to the solutions of Maxwell's equations, using, for example, "staggered grids" and "edge elements." The main goal of the book is to make the reader aware of different sources of errors in numerical computations, and also to provide the tools for assessing the accuracy of numerical methods and their solutions. To reach this goal, convergence analysis, extrapolation, von Neumann stability analysis, and dispersion analysis are introduced and used frequently throughout the book. Another major goal of the book is to provide students with enough practical understanding of the methods so they are able to write simple programs on their own. To achieve this, the book contains several MATLAB programs and detailed description of practical issues such as assembly of finite element matrices and handling of unstructured meshes. Finally, the book aims at making the students wellaware of the strengths and weaknesses of the different methods, so they can decide which method is best for each problem. The intended audience of this text consists of undergraduate and beginning graduate students with basic knowledge of electromagnetic field theory, numerical analysis, and MATLABprogramming Nota de contenido: Convergence  Finite Differences  Eigenvalues  The FiniteDifference TimeDomain Method  The Finite Element Method  The Method of Moments  Summary and Overview En línea: http://dx.doi.org/10.1007/b136922 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35094 Computational Electromagnetics [documento electrónico] / Bondeson, Anders ; SpringerLink (Online service) ; Rylander, Thomas ; Ingelström, Par .  New York, NY : Springer New York, 2005 .  XXII, 224 p. 74 illus : online resource.  (Texts in Applied Mathematics, ISSN 09392475; 51) .
ISBN : 9780387261607
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer science Applied mathematics Engineering Optics Electrodynamics Electrical engineering Applications of and Computational Science Computing Clasificación: 51 Matemáticas Resumen: Computational Electromagnetics is a young and growing discipline, expanding as a result of the steadily increasing demand for software for the design and analysis of electrical devices. This book introduces three of the most popular numerical methods for simulating electromagnetic fields: the finite difference method, the finite element method and the method of moments. In particular it focuses on how these methods are used to obtain valid approximations to the solutions of Maxwell's equations, using, for example, "staggered grids" and "edge elements." The main goal of the book is to make the reader aware of different sources of errors in numerical computations, and also to provide the tools for assessing the accuracy of numerical methods and their solutions. To reach this goal, convergence analysis, extrapolation, von Neumann stability analysis, and dispersion analysis are introduced and used frequently throughout the book. Another major goal of the book is to provide students with enough practical understanding of the methods so they are able to write simple programs on their own. To achieve this, the book contains several MATLAB programs and detailed description of practical issues such as assembly of finite element matrices and handling of unstructured meshes. Finally, the book aims at making the students wellaware of the strengths and weaknesses of the different methods, so they can decide which method is best for each problem. The intended audience of this text consists of undergraduate and beginning graduate students with basic knowledge of electromagnetic field theory, numerical analysis, and MATLABprogramming Nota de contenido: Convergence  Finite Differences  Eigenvalues  The FiniteDifference TimeDomain Method  The Finite Element Method  The Method of Moments  Summary and Overview En línea: http://dx.doi.org/10.1007/b136922 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35094 Ejemplares
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Título : Computational Electromagnetics Tipo de documento: documento electrónico Autores: Rylander, Thomas ; SpringerLink (Online service) ; Ingelström, Par ; Bondeson, Anders Editorial: New York, NY : Springer New York Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: Texts in Applied Mathematics, ISSN 09392475 Número de páginas: XX, 288 p Il.: online resource ISBN/ISSN/DL: 9781461453512 Idioma : Inglés (eng) Palabras clave: Mathematics Applied mathematics Engineering Computer Numerical analysis Electrical engineering Computational Science and Analysis Applications of Clasificación: 51 Matemáticas Resumen: Computational Electromagnetics is a young and growing discipline, expanding as a result of the steadily increasing demand for software for the design and analysis of electrical devices. This book introduces three of the most popular numerical methods for simulating electromagnetic fields: the finite difference method, the finite element method and the method of moments. In particular it focuses on how these methods are used to obtain valid approximations to the solutions of Maxwell's equations, using, for example, "staggered grids" and "edge elements." The main goal of the book is to make the reader aware of different sources of errors in numerical computations, and also to provide the tools for assessing the accuracy of numerical methods and their solutions. To reach this goal, convergence analysis, extrapolation, von Neumann stability analysis, and dispersion analysis are introduced and used frequently throughout the book. Another major goal of the book is to provide students with enough practical understanding of the methods so they are able to write simple programs on their own. To achieve this, the book contains several MATLAB programs and detailed description of practical issues such as assembly of finite element matrices and handling of unstructured meshes. Finally, the book summarizes the strengths and weaknessesof the different methods to help the student decide which method may be best for each problem. In this second edition the book was updated throughout and extensive computer projects are included. Reviews of previous edition: "This wellwritten monograph is devoted to students at the undergraduate level, but is also useful for practising engineers." (Zentralblatt MATH, 2007) Nota de contenido: Introduction  Convergence  Finite Differences  Eigenvalues  The FiniteDifference TimeDomain Method  The Finite Element Method  The Method of Moments  Summary and Overview. Large Linear Systems  Krylov Methods En línea: http://dx.doi.org/10.1007/9781461453512 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32251 Computational Electromagnetics [documento electrónico] / Rylander, Thomas ; SpringerLink (Online service) ; Ingelström, Par ; Bondeson, Anders .  New York, NY : Springer New York : Imprint: Springer, 2013 .  XX, 288 p : online resource.  (Texts in Applied Mathematics, ISSN 09392475) .
ISBN : 9781461453512
Idioma : Inglés (eng)
Palabras clave: Mathematics Applied mathematics Engineering Computer Numerical analysis Electrical engineering Computational Science and Analysis Applications of Clasificación: 51 Matemáticas Resumen: Computational Electromagnetics is a young and growing discipline, expanding as a result of the steadily increasing demand for software for the design and analysis of electrical devices. This book introduces three of the most popular numerical methods for simulating electromagnetic fields: the finite difference method, the finite element method and the method of moments. In particular it focuses on how these methods are used to obtain valid approximations to the solutions of Maxwell's equations, using, for example, "staggered grids" and "edge elements." The main goal of the book is to make the reader aware of different sources of errors in numerical computations, and also to provide the tools for assessing the accuracy of numerical methods and their solutions. To reach this goal, convergence analysis, extrapolation, von Neumann stability analysis, and dispersion analysis are introduced and used frequently throughout the book. Another major goal of the book is to provide students with enough practical understanding of the methods so they are able to write simple programs on their own. To achieve this, the book contains several MATLAB programs and detailed description of practical issues such as assembly of finite element matrices and handling of unstructured meshes. Finally, the book summarizes the strengths and weaknessesof the different methods to help the student decide which method may be best for each problem. In this second edition the book was updated throughout and extensive computer projects are included. Reviews of previous edition: "This wellwritten monograph is devoted to students at the undergraduate level, but is also useful for practising engineers." (Zentralblatt MATH, 2007) Nota de contenido: Introduction  Convergence  Finite Differences  Eigenvalues  The FiniteDifference TimeDomain Method  The Finite Element Method  The Method of Moments  Summary and Overview. Large Linear Systems  Krylov Methods En línea: http://dx.doi.org/10.1007/9781461453512 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32251 Ejemplares
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Título : Geometric Methods and Applications : For Computer Science and Engineering Tipo de documento: documento electrónico Autores: Gallier, Jean ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2011 Colección: Texts in Applied Mathematics, ISSN 09392475 num. 38 Número de páginas: XXVIII, 680 p Il.: online resource ISBN/ISSN/DL: 9781441999610 Idioma : Inglés (eng) Palabras clave: Mathematics Computer graphics Geometry Mathematical optimization Control engineering Robotics Mechatronics Imaging, Vision, Pattern Recognition and Graphics Control, Robotics, Optimization Clasificación: 51 Matemáticas Resumen: This book is an introduction to the fundamental concepts and tools needed for solving problems of a geometric nature using a computer. It attempts to fill the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, robotics, or machine learning. This book covers the following topics: affine geometry, projective geometry, Euclidean geometry, convex sets, SVD and principal component analysis, manifolds and Lie groups, quadratic optimization, basics of differential geometry, and a glimpse of computational geometry (Voronoi diagrams and Delaunay triangulations). Some practical applications of the concepts presented in this book include computer vision, more specifically contour grouping, motion interpolation, and robot kinematics. In this extensively updated second edition, more material on convex sets, Farkas’s lemma, quadratic optimization and the Schur complement have been added. The chapter on SVD has been greatly expanded and now includes a presentation of PCA. The book is well illustrated and has chapter summaries and a large number of exercises throughout. It will be of interest to a wide audience including computer scientists, mathematicians, and engineers. Reviews of first edition: "Gallier's book will be a useful source for anyone interested in applications of geometrical methods to solve problems that arise in various branches of engineering. It may help to develop the sophisticated concepts from the more advanced parts of geometry into useful tools for applications." (Mathematical Reviews, 2001) "...it will be useful as a reference book for postgraduates wishing to find the connection between their current problem and the underlying geometry." (The Australian Mathematical Society, 2001) Nota de contenido: Introduction  Basics of Affine Geometry  Basic Properties of Convex Sets  Embedding an Affine Space in a Vector Space  Basics of Projective Geometry  Basics of Euclidean Geometry  Separating and Supporting Hyperplanes; Polar Duality  Polytopes and Polyhedra  The Cartan–Dieudonn´e Theorem  The Quaternions and the Spaces S3, SU(2), SO(3), and RP3  Dirichlet–Voronoi Diagrams  Basics of Hermitian Geometry  Spectral Theorems  Singular Value Decomposition (SVD) and Polar Form  Applications of SVD and PseudoInverses  Quadratic Optimization Problems  Schur Complements and Applications  Quadratic Optimization and Contour Grouping  Basics of Manifolds and Classical Lie Groups  Basics of the Differential Geometry of Curves  Basics of the Differential Geometry of Surfaces  Appendix  References  Symbol Index  IndexAppendix  References  Symbol Index  Index En línea: http://dx.doi.org/10.1007/9781441999610 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33210 Geometric Methods and Applications : For Computer Science and Engineering [documento electrónico] / Gallier, Jean ; SpringerLink (Online service) .  New York, NY : Springer New York, 2011 .  XXVIII, 680 p : online resource.  (Texts in Applied Mathematics, ISSN 09392475; 38) .
ISBN : 9781441999610
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer graphics Geometry Mathematical optimization Control engineering Robotics Mechatronics Imaging, Vision, Pattern Recognition and Graphics Control, Robotics, Optimization Clasificación: 51 Matemáticas Resumen: This book is an introduction to the fundamental concepts and tools needed for solving problems of a geometric nature using a computer. It attempts to fill the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, robotics, or machine learning. This book covers the following topics: affine geometry, projective geometry, Euclidean geometry, convex sets, SVD and principal component analysis, manifolds and Lie groups, quadratic optimization, basics of differential geometry, and a glimpse of computational geometry (Voronoi diagrams and Delaunay triangulations). Some practical applications of the concepts presented in this book include computer vision, more specifically contour grouping, motion interpolation, and robot kinematics. In this extensively updated second edition, more material on convex sets, Farkas’s lemma, quadratic optimization and the Schur complement have been added. The chapter on SVD has been greatly expanded and now includes a presentation of PCA. The book is well illustrated and has chapter summaries and a large number of exercises throughout. It will be of interest to a wide audience including computer scientists, mathematicians, and engineers. Reviews of first edition: "Gallier's book will be a useful source for anyone interested in applications of geometrical methods to solve problems that arise in various branches of engineering. It may help to develop the sophisticated concepts from the more advanced parts of geometry into useful tools for applications." (Mathematical Reviews, 2001) "...it will be useful as a reference book for postgraduates wishing to find the connection between their current problem and the underlying geometry." (The Australian Mathematical Society, 2001) Nota de contenido: Introduction  Basics of Affine Geometry  Basic Properties of Convex Sets  Embedding an Affine Space in a Vector Space  Basics of Projective Geometry  Basics of Euclidean Geometry  Separating and Supporting Hyperplanes; Polar Duality  Polytopes and Polyhedra  The Cartan–Dieudonn´e Theorem  The Quaternions and the Spaces S3, SU(2), SO(3), and RP3  Dirichlet–Voronoi Diagrams  Basics of Hermitian Geometry  Spectral Theorems  Singular Value Decomposition (SVD) and Polar Form  Applications of SVD and PseudoInverses  Quadratic Optimization Problems  Schur Complements and Applications  Quadratic Optimization and Contour Grouping  Basics of Manifolds and Classical Lie Groups  Basics of the Differential Geometry of Curves  Basics of the Differential Geometry of Surfaces  Appendix  References  Symbol Index  IndexAppendix  References  Symbol Index  Index En línea: http://dx.doi.org/10.1007/9781441999610 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33210 Ejemplares
Signatura Medio Ubicación Sublocalización Sección Estado ningún ejemplar Introduction to Numerical Methods in Differential Equations / SpringerLink (Online service) ; Holmes, Mark H (2007)
Título : Introduction to Numerical Methods in Differential Equations Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Holmes, Mark H Editorial: New York, NY : Springer New York Fecha de publicación: 2007 Colección: Texts in Applied Mathematics, ISSN 09392475 num. 52 Número de páginas: XI, 239 p Il.: online resource ISBN/ISSN/DL: 9780387681214 Idioma : Inglés (eng) Palabras clave: Mathematics Differential equations Partial differential Numerical analysis Equations Ordinary Analysis Clasificación: 51 Matemáticas Resumen: This is a textbook for upper division undergraduates and beginning graduate students. Its objective is that students learn to derive, test and analyze numerical methods for solving differential equations, and this includes both ordinary and partial differential equations. In this sense the book is constructive rather than theoretical, with the intention that the students learn to solve differential equations numerically and understand the mathematical and computational issues that arise when this is done. An essential component of this is the exercises, which develop both the analytical and computational aspects of the material. The importance of the subject of the book is that most laws of physics involve differential equations, as do the modern theories on financial assets. Moreover many computer animation methods are now based on physics based rules and are heavily invested in differential equations. Consequently numerical methods for differential equations are important for multiple areas. The author currently teaches at Rensselaer Polytechnic Institute and is an expert in his field. He has previously published a book with Springer, Introduction to Perturbation Methods Nota de contenido: Initial Value Problems  TwoPoint Boundary Value Problems  Diffusion Problems  Advection Equation  Numerical Wave Propagation  Elliptic Problems En línea: http://dx.doi.org/10.1007/9780387681214 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34505 Introduction to Numerical Methods in Differential Equations [documento electrónico] / SpringerLink (Online service) ; Holmes, Mark H .  New York, NY : Springer New York, 2007 .  XI, 239 p : online resource.  (Texts in Applied Mathematics, ISSN 09392475; 52) .
ISBN : 9780387681214
Idioma : Inglés (eng)
Palabras clave: Mathematics Differential equations Partial differential Numerical analysis Equations Ordinary Analysis Clasificación: 51 Matemáticas Resumen: This is a textbook for upper division undergraduates and beginning graduate students. Its objective is that students learn to derive, test and analyze numerical methods for solving differential equations, and this includes both ordinary and partial differential equations. In this sense the book is constructive rather than theoretical, with the intention that the students learn to solve differential equations numerically and understand the mathematical and computational issues that arise when this is done. An essential component of this is the exercises, which develop both the analytical and computational aspects of the material. The importance of the subject of the book is that most laws of physics involve differential equations, as do the modern theories on financial assets. Moreover many computer animation methods are now based on physics based rules and are heavily invested in differential equations. Consequently numerical methods for differential equations are important for multiple areas. The author currently teaches at Rensselaer Polytechnic Institute and is an expert in his field. He has previously published a book with Springer, Introduction to Perturbation Methods Nota de contenido: Initial Value Problems  TwoPoint Boundary Value Problems  Diffusion Problems  Advection Equation  Numerical Wave Propagation  Elliptic Problems En línea: http://dx.doi.org/10.1007/9780387681214 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34505 Ejemplares
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