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Numerical Techniques for Chemical and Biological Engineers Using MATLAB® / Elnashaie, Said S. E. H (2007)

Título : Numerical Techniques for Chemical and Biological Engineers Using MATLAB® : A Simple Bifurcation Approach Tipo de documento: documento electrónico Autores: Elnashaie, Said S. E. H ; SpringerLink (Online service) ; Uhlig, Frank Editorial: New York, NY : Springer New York Fecha de publicación: 2007 Número de páginas: XVI, 590 p. 235 illus Il.: online resource ISBN/ISSN/DL: 978-0-387-68167-2 Idioma : Inglés ( eng)Palabras clave: Mathematics Biochemical engineering Chemical Computer mathematics Computational and Numerical Analysis Science Engineering Industrial Chemistry/Chemical Clasificación: 51 Matemáticas Resumen: This is a textbook for undergraduate students of chemical and biological engineering. It is also useful for graduate students, professional engineers and numerical analysts. All reactive chemical and biological processes are highly nonlinear allowing for multiple steady states. This book addresses the bifurcation characteristics of chemical and biological processes as the general case and treats systems with a unique steady state as special cases. It uses a system approach which is the most efficient for knowledge organization and transfer. The book develops mathematical models for many commercial processes utilizing the mass-, momentum-, and heat-balance equations coupled to the rates of the processes that take place within the boundaries of the system. The models are solved numerically through MATLAB codes with emphasis on the design and optimization of the chemical and biological industrial equipment and plants, such as single and batteries of CSTRs, porous and nonporous catalyst pellets and their effectiveness factors, tubular catalytic and noncatalytic reactors, fluidized bed catalytic reactors, coupled fluidized beds such as reactor-regenerator systems (industrial fluid catalytic cracking units), fluidized bed reformers for producing hydrogen or syngas, fermenters for fuel ethanol, simulation of the brain acetylcholine neurocycle, anaerobic digesters, co- and countercurrent absorption columns, and many more. The book also includes verification against industrial data. The algorithms include solving transcendental and algebraic equations, with and without bifurcation; as well as initial and boundary value ordinary differential equations. Said Elnashaie is Professor of Chemical and Biological Engineering at the University of British Columbia. Frank Uhlig is Professor of Mathematics at Auburn University. Chadia Affane is a Ph.D. candidate in Applied Mathematics at Auburn with a B.S. in Chemical Engineering Nota de contenido: Numerical Computations and MATLAB -- Modeling, Simulation, and Design of Chemical and Biological Systems -- Some Models with Scalar Equations -- Initial Value Problems -- Boundary Value Problems -- Heterogeneous and Multistage Systems -- Industrial Problems En línea: http://dx.doi.org/10.1007/978-0-387-68167-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34507 Numerical Techniques for Chemical and Biological Engineers Using MATLAB® : A Simple Bifurcation Approach [documento electrónico] / Elnashaie, Said S. E. H ; SpringerLink (Online service) ; Uhlig, Frank . - New York, NY : Springer New York, 2007 . - XVI, 590 p. 235 illus : online resource.ISBN: 978-0-387-68167-2

Idioma : Inglés (eng)

Palabras clave: Mathematics Biochemical engineering Chemical Computer mathematics Computational and Numerical Analysis Science Engineering Industrial Chemistry/Chemical Clasificación: 51 Matemáticas Resumen: This is a textbook for undergraduate students of chemical and biological engineering. It is also useful for graduate students, professional engineers and numerical analysts. All reactive chemical and biological processes are highly nonlinear allowing for multiple steady states. This book addresses the bifurcation characteristics of chemical and biological processes as the general case and treats systems with a unique steady state as special cases. It uses a system approach which is the most efficient for knowledge organization and transfer. The book develops mathematical models for many commercial processes utilizing the mass-, momentum-, and heat-balance equations coupled to the rates of the processes that take place within the boundaries of the system. The models are solved numerically through MATLAB codes with emphasis on the design and optimization of the chemical and biological industrial equipment and plants, such as single and batteries of CSTRs, porous and nonporous catalyst pellets and their effectiveness factors, tubular catalytic and noncatalytic reactors, fluidized bed catalytic reactors, coupled fluidized beds such as reactor-regenerator systems (industrial fluid catalytic cracking units), fluidized bed reformers for producing hydrogen or syngas, fermenters for fuel ethanol, simulation of the brain acetylcholine neurocycle, anaerobic digesters, co- and countercurrent absorption columns, and many more. The book also includes verification against industrial data. The algorithms include solving transcendental and algebraic equations, with and without bifurcation; as well as initial and boundary value ordinary differential equations. Said Elnashaie is Professor of Chemical and Biological Engineering at the University of British Columbia. Frank Uhlig is Professor of Mathematics at Auburn University. Chadia Affane is a Ph.D. candidate in Applied Mathematics at Auburn with a B.S. in Chemical Engineering Nota de contenido: Numerical Computations and MATLAB -- Modeling, Simulation, and Design of Chemical and Biological Systems -- Some Models with Scalar Equations -- Initial Value Problems -- Boundary Value Problems -- Heterogeneous and Multistage Systems -- Industrial Problems En línea: http://dx.doi.org/10.1007/978-0-387-68167-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34507 ## Ejemplares

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Título : Numerical Mathematics Tipo de documento: documento electrónico Autores: Quarteroni, Alfio ; SpringerLink (Online service) ; Sacco, Riccardo ; Saleri, Fausto Editorial: New York, NY : Springer New York Fecha de publicación: 2007 Colección: Texts in Applied Mathematics, ISSN 0939-2475 num. 37 Número de páginas: XVIII, 657 p. 135 illus Il.: online resource ISBN/ISSN/DL: 978-3-540-49809-4 Idioma : Inglés ( eng)Palabras clave: Mathematics Applied mathematics Engineering Numerical analysis Applications of Mathematics, general Analysis Appl.Mathematics/Computational Methods Clasificación: 51 Matemáticas Resumen: Numerical mathematics is the branch of mathematics that proposes, develops, analyzes and applies methods from scientific computing to several fields including analysis, linear algebra, geometry, approximation theory, functional equations, optimization and differential equations. Other disciplines, such as physics, the natural and biological sciences, engineering, and economics and the financial sciences frequently give rise to problems that need scientific computing for their solutions. As such, numerical mathematics is the crossroad of several disciplines of great relevance in modern applied sciences, and can become a crucial tool for their qualitative and quantitative analysis. One of the purposes of this book is to provide the mathematical foundations of numerical methods, to analyze their basic theoretical properties (stability, accuracy, computational complexity) and demonstrate their performance on examples and counterexamples which outline their pros and cons. This is done using the MATLABTM software environment which is user-friendly and widely adopted. Within any specific class of problems, the most appropriate scientific computing algorithms are reviewed, their theoretical analyses are carried out and the expected results are verified on a MATLABTM computer implementation. Every chapter is supplied with examples, exercises and applications of the discussed theory to the solution of real-life problems. This book is addressed to senior undergraduate and graduate students with particular focus on degree courses in engineering, mathematics, physics and computer sciences. The attention which is paid to the applications and the related development of software makes it valuable also for researchers and users of scientific computing in a large variety of professional fields. In this second edition, the readability of pictures, tables and program headings has been improved. Several changes in the chapters on iterative methods and on polynomial approximation have also been added. From the reviews of the first edition: "This is an excellent and modern textbook in numerical mathematics! It is primarily addressed to undergraduate students in mathematics, physics, computer science and engineering. But you will need a weekly 4 hour lecture for 3 terms lecture to teach all topics treated in this book! Well known methods as well as very new algorithms are given. The methods and their performances are demonstrated by illustrative examples and computer examples. Exercises shall help the reader to understand the theory and to apply it. MATLAB-software satisfies the need of user-friendliness. [....] In the reviewers opinion, the presented book is the best textbook in numerical mathematics edited in the last ten years." Zentralblatt für Mathematik 2001, 991.38387 Nota de contenido: Series Preface -- Preface -- I Getting Started -- 1. Foundations of Matrix Analysis -- 2 Principles of Numerical Mathematics -- II Numerical Linear Algebra -- 3 Direct Methods for the Solution of Linear Systems -- 4 Iterative Methods for Solving Linear Systems -- 5 Approximation of Eigenvalues and Eigenvectors -- III Around Functions and Functionals -- 6 Rootfinding for Nonlinear Equations -- 7 Nonlinear Systems and Numerical Optimization -- 8 Polynomial Interpolation -- 9 Numerical Integration -- IV Transforms, Differentiation and Problem Discretization -- 10 Orthogonal Polynomials in Approximation Theory -- 11 Numerical Solution of Ordinary Differential Equations -- 12 Two-Point Boundary Value Problems -- 13 Parabolic and Hyperbolic Initial Boundary Value Problems -- References -- Index of MATLAB Programs -- Index En línea: http://dx.doi.org/10.1007/b98885 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34644 Numerical Mathematics [documento electrónico] / Quarteroni, Alfio ; SpringerLink (Online service) ; Sacco, Riccardo ; Saleri, Fausto . - New York, NY : Springer New York, 2007 . - XVIII, 657 p. 135 illus : online resource. - (Texts in Applied Mathematics, ISSN 0939-2475; 37) .ISBN: 978-3-540-49809-4

Idioma : Inglés (eng)

Palabras clave: Mathematics Applied mathematics Engineering Numerical analysis Applications of Mathematics, general Analysis Appl.Mathematics/Computational Methods Clasificación: 51 Matemáticas Resumen: Numerical mathematics is the branch of mathematics that proposes, develops, analyzes and applies methods from scientific computing to several fields including analysis, linear algebra, geometry, approximation theory, functional equations, optimization and differential equations. Other disciplines, such as physics, the natural and biological sciences, engineering, and economics and the financial sciences frequently give rise to problems that need scientific computing for their solutions. As such, numerical mathematics is the crossroad of several disciplines of great relevance in modern applied sciences, and can become a crucial tool for their qualitative and quantitative analysis. One of the purposes of this book is to provide the mathematical foundations of numerical methods, to analyze their basic theoretical properties (stability, accuracy, computational complexity) and demonstrate their performance on examples and counterexamples which outline their pros and cons. This is done using the MATLABTM software environment which is user-friendly and widely adopted. Within any specific class of problems, the most appropriate scientific computing algorithms are reviewed, their theoretical analyses are carried out and the expected results are verified on a MATLABTM computer implementation. Every chapter is supplied with examples, exercises and applications of the discussed theory to the solution of real-life problems. This book is addressed to senior undergraduate and graduate students with particular focus on degree courses in engineering, mathematics, physics and computer sciences. The attention which is paid to the applications and the related development of software makes it valuable also for researchers and users of scientific computing in a large variety of professional fields. In this second edition, the readability of pictures, tables and program headings has been improved. Several changes in the chapters on iterative methods and on polynomial approximation have also been added. From the reviews of the first edition: "This is an excellent and modern textbook in numerical mathematics! It is primarily addressed to undergraduate students in mathematics, physics, computer science and engineering. But you will need a weekly 4 hour lecture for 3 terms lecture to teach all topics treated in this book! Well known methods as well as very new algorithms are given. The methods and their performances are demonstrated by illustrative examples and computer examples. Exercises shall help the reader to understand the theory and to apply it. MATLAB-software satisfies the need of user-friendliness. [....] In the reviewers opinion, the presented book is the best textbook in numerical mathematics edited in the last ten years." Zentralblatt für Mathematik 2001, 991.38387 Nota de contenido: Series Preface -- Preface -- I Getting Started -- 1. Foundations of Matrix Analysis -- 2 Principles of Numerical Mathematics -- II Numerical Linear Algebra -- 3 Direct Methods for the Solution of Linear Systems -- 4 Iterative Methods for Solving Linear Systems -- 5 Approximation of Eigenvalues and Eigenvectors -- III Around Functions and Functionals -- 6 Rootfinding for Nonlinear Equations -- 7 Nonlinear Systems and Numerical Optimization -- 8 Polynomial Interpolation -- 9 Numerical Integration -- IV Transforms, Differentiation and Problem Discretization -- 10 Orthogonal Polynomials in Approximation Theory -- 11 Numerical Solution of Ordinary Differential Equations -- 12 Two-Point Boundary Value Problems -- 13 Parabolic and Hyperbolic Initial Boundary Value Problems -- References -- Index of MATLAB Programs -- Index En línea: http://dx.doi.org/10.1007/b98885 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34644 ## Ejemplares

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Título : Numerical Mathematics Tipo de documento: documento electrónico Autores: Quarteroni, Alfio ; Sacco, Riccardo ; SpringerLink (Online service) ; Saleri, Fausto Editorial: New York, NY : Springer New York Fecha de publicación: 2007 Otro editor: Imprint: Springer Colección: Texts in Applied Mathematics, ISSN 0939-2475 num. 37 Número de páginas: XX, 655 p. 126 illus Il.: online resource ISBN/ISSN/DL: 978-0-387-22750-4 Idioma : Inglés ( eng)Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Applied mathematics Engineering Numerical Applications of Clasificación: 51 Matemáticas Resumen: Numerical mathematics is the branch of mathematics that proposes, develops, analyzes and applies methods from scientific computing to several fields including analysis, linear algebra, geometry, approximation theory, functional equations, optimization and differential equations. Other disciplines, such as physics, the natural and biological sciences, engineering, and economics and the financial sciences frequently give rise to problems that need scientific computing for their solutions. As such, numerical mathematics is the crossroad of several disciplines of great relevance in modern applied sciences, and can become a crucial tool for their qualitative and quantitative analysis. One of the purposes of this book is to provide the mathematical foundations of numerical methods, to analyze their basic theoretical properties (stability, accuracy, computational complexity) and demonstrate their performances on examples and counterexamples which outline their pros and cons. This is done using the MATLAB software environment which is user-friendly and widely adopted. Within any specific class of problems, the most appropriate scientific computing algorithms are reviewed, their theoretical analyses are carried out and the expected results are verified on a MATLAB computer implementation. Every chapter is supplied with examples, exercises and applications of the discussed theory to the solution of real-life problems. This book is addressed to senior undergraduate and graduate students with particular focus on degree courses in Engineering, Mathematics, Physics and Computer Sciences. The attention which is paid to the applications and the related development of software makes it valuable also for researchers and users of scientific computing in a large variety of professional fields Nota de contenido: Getting Started -- Foundations of Matrix Analysis -- Principles of Numerical Mathematics -- Numerical Linear Algebra -- Direct Methods for the Solution of Linear Systems -- Iterative Methods for Solving Linear Systems -- Approximation of Eigenvalues and Eigenvectors -- Around Functions and Functionals -- Rootfinding for Nonlinear Equations -- Nonlinear Systems and Numerical Optimization -- Polynomial Interpolation -- Numerical Integration -- Transforms, Differentiation and Problem Discretization -- Orthogonal Polynomials in Approximation Theory -- Numerical Solution of Ordinary Differential Equations -- Two-Point Boundary Value Problems -- Parabolic and Hyperbolic Initial Boundary Value Problems En línea: http://dx.doi.org/10.1007/b98885 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=42257 Numerical Mathematics [documento electrónico] / Quarteroni, Alfio ; Sacco, Riccardo ; SpringerLink (Online service) ; Saleri, Fausto . - New York, NY : Springer New York : Imprint: Springer, 2007 . - XX, 655 p. 126 illus : online resource. - (Texts in Applied Mathematics, ISSN 0939-2475; 37) .ISBN: 978-0-387-22750-4

Idioma : Inglés (eng)

Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Applied mathematics Engineering Numerical Applications of Clasificación: 51 Matemáticas Resumen: Numerical mathematics is the branch of mathematics that proposes, develops, analyzes and applies methods from scientific computing to several fields including analysis, linear algebra, geometry, approximation theory, functional equations, optimization and differential equations. Other disciplines, such as physics, the natural and biological sciences, engineering, and economics and the financial sciences frequently give rise to problems that need scientific computing for their solutions. As such, numerical mathematics is the crossroad of several disciplines of great relevance in modern applied sciences, and can become a crucial tool for their qualitative and quantitative analysis. One of the purposes of this book is to provide the mathematical foundations of numerical methods, to analyze their basic theoretical properties (stability, accuracy, computational complexity) and demonstrate their performances on examples and counterexamples which outline their pros and cons. This is done using the MATLAB software environment which is user-friendly and widely adopted. Within any specific class of problems, the most appropriate scientific computing algorithms are reviewed, their theoretical analyses are carried out and the expected results are verified on a MATLAB computer implementation. Every chapter is supplied with examples, exercises and applications of the discussed theory to the solution of real-life problems. This book is addressed to senior undergraduate and graduate students with particular focus on degree courses in Engineering, Mathematics, Physics and Computer Sciences. The attention which is paid to the applications and the related development of software makes it valuable also for researchers and users of scientific computing in a large variety of professional fields Nota de contenido: Getting Started -- Foundations of Matrix Analysis -- Principles of Numerical Mathematics -- Numerical Linear Algebra -- Direct Methods for the Solution of Linear Systems -- Iterative Methods for Solving Linear Systems -- Approximation of Eigenvalues and Eigenvectors -- Around Functions and Functionals -- Rootfinding for Nonlinear Equations -- Nonlinear Systems and Numerical Optimization -- Polynomial Interpolation -- Numerical Integration -- Transforms, Differentiation and Problem Discretization -- Orthogonal Polynomials in Approximation Theory -- Numerical Solution of Ordinary Differential Equations -- Two-Point Boundary Value Problems -- Parabolic and Hyperbolic Initial Boundary Value Problems En línea: http://dx.doi.org/10.1007/b98885 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=42257 ## Ejemplares

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Título : Numerical Methods for Ordinary Differential Equations : Initial Value Problems Tipo de documento: documento electrónico Autores: Griffiths, David F ; SpringerLink (Online service) ; Higham, Desmond J Editorial: London : Springer London Fecha de publicación: 2010 Colección: Springer Undergraduate Mathematics Series, ISSN 1615-2085 Número de páginas: XIV, 271 p. 69 illus Il.: online resource ISBN/ISSN/DL: 978-0-85729-148-6 Idioma : Inglés ( eng)Palabras clave: Mathematics Numerical analysis Analysis Numeric Computing Clasificación: 51 Matemáticas Resumen: Numerical Methods for Ordinary Differential Equations is a self-contained introduction to a fundamental field of numerical analysis and scientific computation. Written for undergraduate students with a mathematical background, this book focuses on the analysis of numerical methods without losing sight of the practical nature of the subject. It covers the topics traditionally treated in a first course, but also highlights new and emerging themes. Chapters are broken down into `lecture' sized pieces, motivated and illustrated by numerous theoretical and computational examples. Over 200 exercises are provided and these are starred according to their degree of difficulty. Solutions to all exercises are available to authorized instructors. The book covers key foundation topics: o Taylor series methods o Runge-Kutta methods o Linear multistep methods o Convergence o Stability and a range of modern themes: o Adaptive stepsize selection o Long term dynamics o Modified equations o Geometric integration o Stochastic differential equations The prerequisite of a basic university-level calculus class is assumed, although appropriate background results are also summarized in appendices. A dedicated website for the book containing extra information can be found via www.springer.com Nota de contenido: ODEs—An Introduction -- Euler’s Method -- The Taylor Series Method -- Linear Multistep Methods—I: Construction and Consistency -- Linear Multistep Methods—II: Convergence and Zero-Stability -- Linear Multistep Methods—III: Absolute Stability -- Linear Multistep Methods—IV: Systems of ODEs -- Linear Multistep Methods—V: Solving Implicit Methods -- Runge–Kutta Method—I: Order Conditions -- Runge-Kutta Methods–II Absolute Stability -- Adaptive Step Size Selection -- Long-Term Dynamics -- Modified Equations -- Geometric Integration Part I—Invariants -- Geometric Integration Part II—Hamiltonian Dynamics -- Stochastic Differential Equations En línea: http://dx.doi.org/10.1007/978-0-85729-148-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33570 Numerical Methods for Ordinary Differential Equations : Initial Value Problems [documento electrónico] / Griffiths, David F ; SpringerLink (Online service) ; Higham, Desmond J . - London : Springer London, 2010 . - XIV, 271 p. 69 illus : online resource. - (Springer Undergraduate Mathematics Series, ISSN 1615-2085) .ISBN: 978-0-85729-148-6

Idioma : Inglés (eng)

Palabras clave: Mathematics Numerical analysis Analysis Numeric Computing Clasificación: 51 Matemáticas Resumen: Numerical Methods for Ordinary Differential Equations is a self-contained introduction to a fundamental field of numerical analysis and scientific computation. Written for undergraduate students with a mathematical background, this book focuses on the analysis of numerical methods without losing sight of the practical nature of the subject. It covers the topics traditionally treated in a first course, but also highlights new and emerging themes. Chapters are broken down into `lecture' sized pieces, motivated and illustrated by numerous theoretical and computational examples. Over 200 exercises are provided and these are starred according to their degree of difficulty. Solutions to all exercises are available to authorized instructors. The book covers key foundation topics: o Taylor series methods o Runge-Kutta methods o Linear multistep methods o Convergence o Stability and a range of modern themes: o Adaptive stepsize selection o Long term dynamics o Modified equations o Geometric integration o Stochastic differential equations The prerequisite of a basic university-level calculus class is assumed, although appropriate background results are also summarized in appendices. A dedicated website for the book containing extra information can be found via www.springer.com Nota de contenido: ODEs—An Introduction -- Euler’s Method -- The Taylor Series Method -- Linear Multistep Methods—I: Construction and Consistency -- Linear Multistep Methods—II: Convergence and Zero-Stability -- Linear Multistep Methods—III: Absolute Stability -- Linear Multistep Methods—IV: Systems of ODEs -- Linear Multistep Methods—V: Solving Implicit Methods -- Runge–Kutta Method—I: Order Conditions -- Runge-Kutta Methods–II Absolute Stability -- Adaptive Step Size Selection -- Long-Term Dynamics -- Modified Equations -- Geometric Integration Part I—Invariants -- Geometric Integration Part II—Hamiltonian Dynamics -- Stochastic Differential Equations En línea: http://dx.doi.org/10.1007/978-0-85729-148-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33570 ## Ejemplares

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Título : Numerical Optimization Tipo de documento: documento electrónico Autores: Nocedal, Jorge ; SpringerLink (Online service) ; Wright, Stephen J Editorial: New York, NY : Springer New York Fecha de publicación: 2006 Colección: Springer Series in Operations Research and Financial Engineering, ISSN 1431-8598 Número de páginas: XXII, 664 p Il.: online resource ISBN/ISSN/DL: 978-0-387-40065-5 Idioma : Inglés ( eng)Palabras clave: Mathematics Operations research Decision making System theory Computer mathematics Mathematical optimization Calculus of variations Optimization Variations and Optimal Control; Systems Theory, Control Computational Numerical Analysis Operation Research/Decision Theory Clasificación: 51 Matemáticas Resumen: Numerical Optimization presents a comprehensive and up-to-date description of the most effective methods in continuous optimization. It responds to the growing interest in optimization in engineering, science, and business by focusing on the methods that are best suited to practical problems. For this new edition the book has been thoroughly updated throughout. There are new chapters on nonlinear interior methods and derivative-free methods for optimization, both of which are used widely in practice and the focus of much current research. Because of the emphasis on practical methods, as well as the extensive illustrations and exercises, the book is accessible to a wide audience. It can be used as a graduate text in engineering, operations research, mathematics, computer science, and business. It also serves as a handbook for researchers and practitioners in the field. The authors have strived to produce a text that is pleasant to read, informative, and rigorous - one that reveals both the beautiful nature of the discipline and its practical side Nota de contenido: Fundamentals of Unconstrained Optimization -- Line Search Methods -- Trust-Region Methods -- Conjugate Gradient Methods -- Quasi-Newton Methods -- Large-Scale Unconstrained Optimization -- Calculating Derivatives -- Derivative-Free Optimization -- Least-Squares Problems -- Nonlinear Equations -- Theory of Constrained Optimization -- Linear Programming: The Simplex Method -- Linear Programming: Interior-Point Methods -- Fundamentals of Algorithms for Nonlinear Constrained Optimization -- Quadratic Programming -- Penalty and Augmented Lagrangian Methods -- Sequential Quadratic Programming -- Interior-Point Methods for Nonlinear Programming En línea: http://dx.doi.org/10.1007/978-0-387-40065-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34843 Numerical Optimization [documento electrónico] / Nocedal, Jorge ; SpringerLink (Online service) ; Wright, Stephen J . - New York, NY : Springer New York, 2006 . - XXII, 664 p : online resource. - (Springer Series in Operations Research and Financial Engineering, ISSN 1431-8598) .ISBN: 978-0-387-40065-5

Idioma : Inglés (eng)

Palabras clave: Mathematics Operations research Decision making System theory Computer mathematics Mathematical optimization Calculus of variations Optimization Variations and Optimal Control; Systems Theory, Control Computational Numerical Analysis Operation Research/Decision Theory Clasificación: 51 Matemáticas Resumen: Numerical Optimization presents a comprehensive and up-to-date description of the most effective methods in continuous optimization. It responds to the growing interest in optimization in engineering, science, and business by focusing on the methods that are best suited to practical problems. For this new edition the book has been thoroughly updated throughout. There are new chapters on nonlinear interior methods and derivative-free methods for optimization, both of which are used widely in practice and the focus of much current research. Because of the emphasis on practical methods, as well as the extensive illustrations and exercises, the book is accessible to a wide audience. It can be used as a graduate text in engineering, operations research, mathematics, computer science, and business. It also serves as a handbook for researchers and practitioners in the field. The authors have strived to produce a text that is pleasant to read, informative, and rigorous - one that reveals both the beautiful nature of the discipline and its practical side Nota de contenido: Fundamentals of Unconstrained Optimization -- Line Search Methods -- Trust-Region Methods -- Conjugate Gradient Methods -- Quasi-Newton Methods -- Large-Scale Unconstrained Optimization -- Calculating Derivatives -- Derivative-Free Optimization -- Least-Squares Problems -- Nonlinear Equations -- Theory of Constrained Optimization -- Linear Programming: The Simplex Method -- Linear Programming: Interior-Point Methods -- Fundamentals of Algorithms for Nonlinear Constrained Optimization -- Quadratic Programming -- Penalty and Augmented Lagrangian Methods -- Sequential Quadratic Programming -- Interior-Point Methods for Nonlinear Programming En línea: http://dx.doi.org/10.1007/978-0-387-40065-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34843 ## Ejemplares

Signatura Medio Ubicación Sección Estado ningún ejemplar Advances in Dynamic Game Theory / SpringerLink (Online service) ; Jørgensen, Steffen ; Quincampoix, Marc ; Vincent, Thomas L (2007)

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