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Título : Basics of Fluid Mechanics and Introduction to Computational Fluid Dynamics Tipo de documento: documento electrónico Autores: Petrila, Titus ; SpringerLink (Online service) ; Damian Trif Editorial: Boston, MA : Springer US Fecha de publicación: 2005 Colección: Numerical Methods and Algorithms, ISSN 1571-5698 num. 3 Número de páginas: XIV, 500 p Il.: online resource ISBN/ISSN/DL: 978-0-387-23838-8 Idioma : Inglés (eng) Palabras clave: Mathematics Computer mathematics Numerical analysis Analysis Computational and Clasificación: 51 Matemáticas Resumen: This handbook brings together the theoretical basics of fluid dynamics with a systemaic overview of the appropriate numerical and computational methods for solving the problems presented in the book. Also, effective codes for a majority of the examples are included. Audience This volume is suitable for scientists, students and researchers involved in computational fluid dynamics and numerical methods Nota de contenido: to Mechanics of Continua -- Dynamics of Inviscid Fluids -- Viscous Incompressible Fluid Dynamics -- to Numberical Solutions for Ordinary and Partial Differential Equations -- Finite-Difference Methods -- Finite Element and Boundary Element Methods -- The Finite Volume Method and the Generalized Difference Method -- Spectral Methods En línea: http://dx.doi.org/10.1007/b102528 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35077 Basics of Fluid Mechanics and Introduction to Computational Fluid Dynamics [documento electrónico] / Petrila, Titus ; SpringerLink (Online service) ; Damian Trif . - Boston, MA : Springer US, 2005 . - XIV, 500 p : online resource. - (Numerical Methods and Algorithms, ISSN 1571-5698; 3) .
ISBN : 978-0-387-23838-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer mathematics Numerical analysis Analysis Computational and Clasificación: 51 Matemáticas Resumen: This handbook brings together the theoretical basics of fluid dynamics with a systemaic overview of the appropriate numerical and computational methods for solving the problems presented in the book. Also, effective codes for a majority of the examples are included. Audience This volume is suitable for scientists, students and researchers involved in computational fluid dynamics and numerical methods Nota de contenido: to Mechanics of Continua -- Dynamics of Inviscid Fluids -- Viscous Incompressible Fluid Dynamics -- to Numberical Solutions for Ordinary and Partial Differential Equations -- Finite-Difference Methods -- Finite Element and Boundary Element Methods -- The Finite Volume Method and the Generalized Difference Method -- Spectral Methods En línea: http://dx.doi.org/10.1007/b102528 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35077 Ejemplares
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Título : Matrix-Based Multigrid : Theory and Applications Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Shapira, Yair Editorial: Boston, MA : Springer US Fecha de publicación: 2008 Colección: Numerical Methods and Algorithms, ISSN 1571-5698 num. 2 Número de páginas: XXIV, 318 p Il.: online resource ISBN/ISSN/DL: 978-0-387-49765-5 Idioma : Inglés (eng) Palabras clave: Mathematics Numerical analysis Matrix theory Algebra Mathematical Analysis (Mathematics) Computer mathematics Computational intelligence and Numeric Computing Linear Multilinear Algebras, Theory Intelligence Clasificación: 51 Matemáticas Resumen: Multigrid methods are often used for solving partial differential equations. This book introduces and analyzes the multigrid approach. The approach used here applies to both test problems on rectangular grids and to more realistic applications with complicated grids and domains. Key Features of this Second Edition: - Discusses multigrid methods from the domain decomposition viewpoint, thus making the material accessible to beginning undergraduate/graduate students - Uses the semialgebraic multigrid approach to handle complex topics (such as the solution of systems of PDEs) - Provides relevant and insightful exercises at the end of each chapter which help reinforce the material - Uses numerous illustrations and examples to motivate the subject matter - Covers important applications in physics, engineering and computer science Matrix-Based Multigrid can serve as a textbook for courses in numerical linear algebra, numerical methods for PDEs, and computational physics at the advanced undergraduate and graduate levels. Since most of the background material is covered, the only prerequisites are elementary linear algebra and calculus. Excerpts from the reviews of the first edition: "This book contains a wealth of information about using multilevel methods to solve partial differential equations (PDEs). . . A common matrix-based framework for developing these methods is used throughout the book. This approach allows methods to be developed for problems under three very different conditions. . . This book will be insightful for practitioners in the field. . . students will enjoy studying this book to see how the many puzzle pieces of the multigrid landscape fit together." (Loyce Adams, SIAM review, Vol. 47(3), 2005) "The discussion very often includes important applications in physics, engineering, and computer science. The style is clear, the details can be understood without any serious prerequisite. The usage of multigrid method for unstructured grids is exhibited by a well commented C++ program. This way the book is suitable for anyone . . . who needs numerical solution of partial differential equations." (Peter Hajnal, Acta Scientiarum Mathematicarum, Vol. 70, 2004) Nota de contenido: Concepts and Preliminaries -- The Multilevel-Multiscale Approach -- Preliminaries -- Partial Differential Equations and Their Discretization -- Finite Differences and Volumes -- Finite Elements -- The Numerical Solution of Large Sparse Linear Systems of Algebraic Equations -- Iterative Linear System Solvers -- The Multigrid Iteration -- Matrix-Based Multigrid for Structured Grids -- The Automatic Multigrid Method -- Applications in Image Processing -- The Black-Box Multigrid Method -- The Indefinite Helmholtz Equation -- Matrix-Based Semicoarsening Method -- Matrix-Based Multigrid for Semistructured Grids -- Matrix-Based Multigrid for Locally Refined Meshes -- Application to Semistructured Grids -- Matrix-Based Multigrid for Unstructured Grids -- The Domain-Decomposition Multigrid Method -- The Algebraic Multilevel Method -- Applications -- Semialgebraic Multilevel Method for Systems of Partial Differential Equations -- Appendices -- Time-Dependent Parabolic PDEs -- Nonlinear Equations En línea: http://dx.doi.org/10.1007/978-0-387-49765-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34149 Matrix-Based Multigrid : Theory and Applications [documento electrónico] / SpringerLink (Online service) ; Shapira, Yair . - Boston, MA : Springer US, 2008 . - XXIV, 318 p : online resource. - (Numerical Methods and Algorithms, ISSN 1571-5698; 2) .
ISBN : 978-0-387-49765-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Numerical analysis Matrix theory Algebra Mathematical Analysis (Mathematics) Computer mathematics Computational intelligence and Numeric Computing Linear Multilinear Algebras, Theory Intelligence Clasificación: 51 Matemáticas Resumen: Multigrid methods are often used for solving partial differential equations. This book introduces and analyzes the multigrid approach. The approach used here applies to both test problems on rectangular grids and to more realistic applications with complicated grids and domains. Key Features of this Second Edition: - Discusses multigrid methods from the domain decomposition viewpoint, thus making the material accessible to beginning undergraduate/graduate students - Uses the semialgebraic multigrid approach to handle complex topics (such as the solution of systems of PDEs) - Provides relevant and insightful exercises at the end of each chapter which help reinforce the material - Uses numerous illustrations and examples to motivate the subject matter - Covers important applications in physics, engineering and computer science Matrix-Based Multigrid can serve as a textbook for courses in numerical linear algebra, numerical methods for PDEs, and computational physics at the advanced undergraduate and graduate levels. Since most of the background material is covered, the only prerequisites are elementary linear algebra and calculus. Excerpts from the reviews of the first edition: "This book contains a wealth of information about using multilevel methods to solve partial differential equations (PDEs). . . A common matrix-based framework for developing these methods is used throughout the book. This approach allows methods to be developed for problems under three very different conditions. . . This book will be insightful for practitioners in the field. . . students will enjoy studying this book to see how the many puzzle pieces of the multigrid landscape fit together." (Loyce Adams, SIAM review, Vol. 47(3), 2005) "The discussion very often includes important applications in physics, engineering, and computer science. The style is clear, the details can be understood without any serious prerequisite. The usage of multigrid method for unstructured grids is exhibited by a well commented C++ program. This way the book is suitable for anyone . . . who needs numerical solution of partial differential equations." (Peter Hajnal, Acta Scientiarum Mathematicarum, Vol. 70, 2004) Nota de contenido: Concepts and Preliminaries -- The Multilevel-Multiscale Approach -- Preliminaries -- Partial Differential Equations and Their Discretization -- Finite Differences and Volumes -- Finite Elements -- The Numerical Solution of Large Sparse Linear Systems of Algebraic Equations -- Iterative Linear System Solvers -- The Multigrid Iteration -- Matrix-Based Multigrid for Structured Grids -- The Automatic Multigrid Method -- Applications in Image Processing -- The Black-Box Multigrid Method -- The Indefinite Helmholtz Equation -- Matrix-Based Semicoarsening Method -- Matrix-Based Multigrid for Semistructured Grids -- Matrix-Based Multigrid for Locally Refined Meshes -- Application to Semistructured Grids -- Matrix-Based Multigrid for Unstructured Grids -- The Domain-Decomposition Multigrid Method -- The Algebraic Multilevel Method -- Applications -- Semialgebraic Multilevel Method for Systems of Partial Differential Equations -- Appendices -- Time-Dependent Parabolic PDEs -- Nonlinear Equations En línea: http://dx.doi.org/10.1007/978-0-387-49765-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34149 Ejemplares
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Título : Numerical Methods for Laplace Transform Inversion Tipo de documento: documento electrónico Autores: Alan M. Cohen ; SpringerLink (Online service) Editorial: Boston, MA : Springer US Fecha de publicación: 2007 Colección: Numerical Methods and Algorithms, ISSN 1571-5698 num. 5 Número de páginas: XIV, 252 p. 25 illus Il.: online resource ISBN/ISSN/DL: 978-0-387-68855-8 Idioma : Inglés (eng) Palabras clave: Mathematics Integral transforms Operational calculus Applied mathematics Engineering Transforms, Calculus Appl.Mathematics/Computational Methods of Clasificación: 51 Matemáticas Resumen: Operational methods have been used for over a century to solve many problems—for example, ordinary and partial differential equations. In many problems it is fairly easy to obtain the Laplace transform, but it can be very demanding to determine the inverse Laplace transform that is the solution of the given problem. Sometimes, after some difficult contour integration, we find that a series solution results, but even this may be quite difficult to evaluate in order to get an answer at a particular time value. The advent of computers has given an impetus to developing numerical methods for the determination of the inverse Laplace transform. This book gives background material on the theory of Laplace transforms together with a comprehensive list of methods that are available at the current time. Computer programs are included for those methods that perform consistently well on a wide range of Laplace transforms. Audience This book is intended for engineers, scientists, mathematicians, statisticians and financial planners Nota de contenido: Basic Results -- Inversion Formulae and Practical Results -- The Method of Series Expansion -- Quadrature Methods -- Rational Approximation Methods -- The Method of Talbot -- Methods based on the Post-Widder Inversion Formula -- The Method of Regularization -- Survey Results -- Applications En línea: http://dx.doi.org/10.1007/978-0-387-68855-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34510 Numerical Methods for Laplace Transform Inversion [documento electrónico] / Alan M. Cohen ; SpringerLink (Online service) . - Boston, MA : Springer US, 2007 . - XIV, 252 p. 25 illus : online resource. - (Numerical Methods and Algorithms, ISSN 1571-5698; 5) .
ISBN : 978-0-387-68855-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Integral transforms Operational calculus Applied mathematics Engineering Transforms, Calculus Appl.Mathematics/Computational Methods of Clasificación: 51 Matemáticas Resumen: Operational methods have been used for over a century to solve many problems—for example, ordinary and partial differential equations. In many problems it is fairly easy to obtain the Laplace transform, but it can be very demanding to determine the inverse Laplace transform that is the solution of the given problem. Sometimes, after some difficult contour integration, we find that a series solution results, but even this may be quite difficult to evaluate in order to get an answer at a particular time value. The advent of computers has given an impetus to developing numerical methods for the determination of the inverse Laplace transform. This book gives background material on the theory of Laplace transforms together with a comprehensive list of methods that are available at the current time. Computer programs are included for those methods that perform consistently well on a wide range of Laplace transforms. Audience This book is intended for engineers, scientists, mathematicians, statisticians and financial planners Nota de contenido: Basic Results -- Inversion Formulae and Practical Results -- The Method of Series Expansion -- Quadrature Methods -- Rational Approximation Methods -- The Method of Talbot -- Methods based on the Post-Widder Inversion Formula -- The Method of Regularization -- Survey Results -- Applications En línea: http://dx.doi.org/10.1007/978-0-387-68855-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34510 Ejemplares
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Título : The Schur Complement and Its Applications Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Fuzhen Zhang Editorial: Boston, MA : Springer US Fecha de publicación: 2005 Colección: Numerical Methods and Algorithms, ISSN 1571-5698 num. 4 Número de páginas: XVI, 295 p Il.: online resource ISBN/ISSN/DL: 978-0-387-24273-6 Idioma : Inglés (eng) Palabras clave: Mathematics Matrix theory Algebra Operator Numerical analysis Statistics Linear and Multilinear Algebras, Theory Analysis Statistical Methods Clasificación: 51 Matemáticas Resumen: The Schur complement plays an important role in matrix analysis, statistics, numerical analysis, and many other areas of mathematics and its applications. This book describes the Schur complement as a rich and basic tool in mathematical research and applications and discusses many significant results that illustrate its power and fertility. The eight chapters of the book cover themes and variations on the Schur complement, including its historical development, basic properties, eigenvalue and singular value inequalities, matrix inequalities in both finite and infinite dimensional settings, closure properties, and applications in statistics, probability, and numerical analysis. The chapters need not be read in order, and the reader should feel free to browse freely through topics of interest. Although the book is primarily intended to serve as a research reference, it will also be useful for graduate and advanced undergraduate courses in mathematics, applied mathematics, and statistics. The contributing authors’ exposition makes most of the material accessible to readers with a sound foundation in linear algebra. The book, edited by Fuzhen Zhang, was written by several distinguished mathematicians: T. Ando (Hokkaido University, Japan), C. Brezinski (Université des Sciences et Technologies de Lille, France), R. Horn (University of Utah, Salt Lake City, U.S.A.), C. Johnson (College of William and Mary, Williamsburg, U.S.A.), J.-Z. Liu (Xiangtang University, China), S. Puntanen (University of Tampere, Finland), R. Smith (University of Tennessee, Chattanooga, USA), and G.P.H. Steyn (McGill University, Canada). Fuzhen Zhang is a professor of Nova Southeastern University, Fort Lauderdale, U.S.A., and a guest professor of Shenyang Normal University, Shenyang, China. Audience This book is intended for researchers in linear algebra, matrix analysis, numerical analysis, and statistics Nota de contenido: Historical Introduction: Issai Schur and the Early Development of the Schur Complement -- Basic Properties of the Schur Complement -- Eigenvalue and Singular Value Inequalities of Schur Complements -- Block Matrix Techniques -- Closure Properties -- Schur Complements and Matrix Inequalities: Operator-Theoretic Approach -- Schur complements in statistics and probability -- Schur Complements and Applications in Numerical Analysis En línea: http://dx.doi.org/10.1007/b105056 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35083 The Schur Complement and Its Applications [documento electrónico] / SpringerLink (Online service) ; Fuzhen Zhang . - Boston, MA : Springer US, 2005 . - XVI, 295 p : online resource. - (Numerical Methods and Algorithms, ISSN 1571-5698; 4) .
ISBN : 978-0-387-24273-6
Idioma : Inglés (eng)
Palabras clave: Mathematics Matrix theory Algebra Operator Numerical analysis Statistics Linear and Multilinear Algebras, Theory Analysis Statistical Methods Clasificación: 51 Matemáticas Resumen: The Schur complement plays an important role in matrix analysis, statistics, numerical analysis, and many other areas of mathematics and its applications. This book describes the Schur complement as a rich and basic tool in mathematical research and applications and discusses many significant results that illustrate its power and fertility. The eight chapters of the book cover themes and variations on the Schur complement, including its historical development, basic properties, eigenvalue and singular value inequalities, matrix inequalities in both finite and infinite dimensional settings, closure properties, and applications in statistics, probability, and numerical analysis. The chapters need not be read in order, and the reader should feel free to browse freely through topics of interest. Although the book is primarily intended to serve as a research reference, it will also be useful for graduate and advanced undergraduate courses in mathematics, applied mathematics, and statistics. The contributing authors’ exposition makes most of the material accessible to readers with a sound foundation in linear algebra. The book, edited by Fuzhen Zhang, was written by several distinguished mathematicians: T. Ando (Hokkaido University, Japan), C. Brezinski (Université des Sciences et Technologies de Lille, France), R. Horn (University of Utah, Salt Lake City, U.S.A.), C. Johnson (College of William and Mary, Williamsburg, U.S.A.), J.-Z. Liu (Xiangtang University, China), S. Puntanen (University of Tampere, Finland), R. Smith (University of Tennessee, Chattanooga, USA), and G.P.H. Steyn (McGill University, Canada). Fuzhen Zhang is a professor of Nova Southeastern University, Fort Lauderdale, U.S.A., and a guest professor of Shenyang Normal University, Shenyang, China. Audience This book is intended for researchers in linear algebra, matrix analysis, numerical analysis, and statistics Nota de contenido: Historical Introduction: Issai Schur and the Early Development of the Schur Complement -- Basic Properties of the Schur Complement -- Eigenvalue and Singular Value Inequalities of Schur Complements -- Block Matrix Techniques -- Closure Properties -- Schur Complements and Matrix Inequalities: Operator-Theoretic Approach -- Schur complements in statistics and probability -- Schur Complements and Applications in Numerical Analysis En línea: http://dx.doi.org/10.1007/b105056 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35083 Ejemplares
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