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Refinar búsquedaAn 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 0939-2475 num. 57 Número de páginas: XI, 172 p Il.: online resource ISBN/ISSN/DL: 978-1-4419-7646-8 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 well-posedness 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 Poincare-Bendixson theory for monotone cyclic feedback systems, obtained by Mallet-Paret 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 Warm-Up -- 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/10.1007/978-1-4419-7646-8 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 0939-2475; 57) .
ISBN : 978-1-4419-7646-8
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 well-posedness 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 Poincare-Bendixson theory for monotone cyclic feedback systems, obtained by Mallet-Paret 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 Warm-Up -- 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/10.1007/978-1-4419-7646-8 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 0939-2475 num. 51 Número de páginas: XXII, 224 p. 74 illus Il.: online resource ISBN/ISSN/DL: 978-0-387-26160-7 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 well-aware 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 MATLAB-programming Nota de contenido: Convergence -- Finite Differences -- Eigenvalues -- The Finite-Difference Time-Domain 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 0939-2475; 51) .
ISBN : 978-0-387-26160-7
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 well-aware 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 MATLAB-programming Nota de contenido: Convergence -- Finite Differences -- Eigenvalues -- The Finite-Difference Time-Domain 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 0939-2475 Número de páginas: XX, 288 p Il.: online resource ISBN/ISSN/DL: 978-1-4614-5351-2 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 well-written 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 Finite-Difference Time-Domain Method -- The Finite Element Method -- The Method of Moments -- Summary and Overview.- Large Linear Systems -- Krylov Methods En línea: http://dx.doi.org/10.1007/978-1-4614-5351-2 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 0939-2475) .
ISBN : 978-1-4614-5351-2
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 well-written 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 Finite-Difference Time-Domain Method -- The Finite Element Method -- The Method of Moments -- Summary and Overview.- Large Linear Systems -- Krylov Methods En línea: http://dx.doi.org/10.1007/978-1-4614-5351-2 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 0939-2475 num. 38 Número de páginas: XXVIII, 680 p Il.: online resource ISBN/ISSN/DL: 978-1-4419-9961-0 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 Pseudo-Inverses -- 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/10.1007/978-1-4419-9961-0 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 0939-2475; 38) .
ISBN : 978-1-4419-9961-0
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 Pseudo-Inverses -- 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/10.1007/978-1-4419-9961-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33210 Ejemplares
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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 0939-2475 num. 52 Número de páginas: XI, 239 p Il.: online resource ISBN/ISSN/DL: 978-0-387-68121-4 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 -- Two-Point Boundary Value Problems -- Diffusion Problems -- Advection Equation -- Numerical Wave Propagation -- Elliptic Problems En línea: http://dx.doi.org/10.1007/978-0-387-68121-4 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 0939-2475; 52) .
ISBN : 978-0-387-68121-4
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 -- Two-Point Boundary Value Problems -- Diffusion Problems -- Advection Equation -- Numerical Wave Propagation -- Elliptic Problems En línea: http://dx.doi.org/10.1007/978-0-387-68121-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34505 Ejemplares
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