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Título : Numerical Methods for Ordinary Differential Equations : Initial Value Problems Tipo de documento: documento electrónico Autores: David F. Griffiths ; SpringerLink (Online service) ; Desmond J. Higham 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] / David F. Griffiths ; SpringerLink (Online service) ; Desmond J. Higham . - 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 : 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
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Advanced Computing / SpringerLink (Online service) ; Michael Bader ; Hans-Joachim Bungartz ; Tobias Weinzierl (2013)
Título : Advanced Computing Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Michael Bader ; Hans-Joachim Bungartz ; Tobias Weinzierl Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: Lecture Notes in Computational Science and Engineering, ISSN 1439-7358 num. 93 Número de páginas: XII, 240 p. 117 illus., 81 illus. in color Il.: online resource ISBN/ISSN/DL: 978-3-642-38762-3 Idioma : Inglés (eng) Palabras clave: Mathematics Numerical analysis Computer simulation mathematics Physics Applied Engineering Computational and Analysis Science Simulation Modeling Numeric Computing Appl.Mathematics/Computational Methods of Clasificación: 51 Matemáticas Resumen: This proceedings volume collects review articles that summarize research conducted at the Munich Centre of Advanced Computing (MAC) from 2008 to 2012. The articles address the increasing gap between what should be possible in Computational Science and Engineering due to recent advances in algorithms, hardware, and networks, and what can actually be achieved in practice; they also examine novel computing architectures, where computation itself is a multifaceted process, with hardware awareness or ubiquitous parallelism due to many-core systems being just two of the challenges faced. Topics cover both the methodological aspects of advanced computing (algorithms, parallel computing, data exploration, software engineering) and cutting-edge applications from the fields of chemistry, the geosciences, civil and mechanical engineering, etc., reflecting the highly interdisciplinary nature of the Munich Centre of Advanced Computing Nota de contenido: A Review of the Finite Cell Method for Nonlinear Structural Analysis of Complex CAD and Image-based Geometric Models: Dominik Schillinger, Quanji Cai, Ralf-Peter Mundani, and Ernst Rank -- Immersed Boundary Methods for Fluid-Structure Interaction and Shape Optimization within an FEM-based PDE Toolbox: Janos Benk, Hans-Joachim Bungartz, Miriam Mehl, and Michael Ulbrich -- Numerical simulation of transport in porous media: some problems from micro to macro scale: Quanji Cai Sheema Kooshapur Michael Manhart, Ralf-Peter Mundani, Ernst Rank, Andreas Springer, Boris Vexler -- Optimal Control of Partially Miscible Two-Phase Flow with Applications to Subsurface CO2 Sequestration: Moritz Simon and Michael Ulbrich -- A Newton-CG Method for Full-Waveform Inversion in a Coupled Solid-Fluid System: Christian Boehm and Michael Ulbrich -- Advances in the Parallelisation of Software for Quantum Chemistry Applications: Martin Roderus, Alexei Matveev, Hans-Joachim Bungartz and Notker Rösch -- Designing Spacecraft High Performance Computing Architectures: Fisnik Kraja, Georg Acher, Arndt Bode -- Requirements Engineering for Computational Seismology Software: Yang Li, Bernd Bruegge, Simon Stähler, Nitesh Narayan, and Heiner Igel -- A High-Performance Interactive Computing Framework for Engineering Applications: Jovana Kneževi´c, Ralf-Peter Mundani, Ernst Rank -- A Framework for the Interactive Handling of High-Dimensional Simulation Data in Complex Geometries: A. Benzina, G. Buse, D. Butnaru, A. Murarasu, M. Treib, V. Varduhn, R.-P. Mundani -- Experiences with a Flexibly Reconfigurable Visualization System on Software Development and Workplace Ergonomics: Marcus Tönnis, Amal Benzina, Gudrun Klinker En línea: http://dx.doi.org/10.1007/978-3-642-38762-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32586 Advanced Computing [documento electrónico] / SpringerLink (Online service) ; Michael Bader ; Hans-Joachim Bungartz ; Tobias Weinzierl . - Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013 . - XII, 240 p. 117 illus., 81 illus. in color : online resource. - (Lecture Notes in Computational Science and Engineering, ISSN 1439-7358; 93) .
ISBN : 978-3-642-38762-3
Idioma : Inglés (eng)
Palabras clave: Mathematics Numerical analysis Computer simulation mathematics Physics Applied Engineering Computational and Analysis Science Simulation Modeling Numeric Computing Appl.Mathematics/Computational Methods of Clasificación: 51 Matemáticas Resumen: This proceedings volume collects review articles that summarize research conducted at the Munich Centre of Advanced Computing (MAC) from 2008 to 2012. The articles address the increasing gap between what should be possible in Computational Science and Engineering due to recent advances in algorithms, hardware, and networks, and what can actually be achieved in practice; they also examine novel computing architectures, where computation itself is a multifaceted process, with hardware awareness or ubiquitous parallelism due to many-core systems being just two of the challenges faced. Topics cover both the methodological aspects of advanced computing (algorithms, parallel computing, data exploration, software engineering) and cutting-edge applications from the fields of chemistry, the geosciences, civil and mechanical engineering, etc., reflecting the highly interdisciplinary nature of the Munich Centre of Advanced Computing Nota de contenido: A Review of the Finite Cell Method for Nonlinear Structural Analysis of Complex CAD and Image-based Geometric Models: Dominik Schillinger, Quanji Cai, Ralf-Peter Mundani, and Ernst Rank -- Immersed Boundary Methods for Fluid-Structure Interaction and Shape Optimization within an FEM-based PDE Toolbox: Janos Benk, Hans-Joachim Bungartz, Miriam Mehl, and Michael Ulbrich -- Numerical simulation of transport in porous media: some problems from micro to macro scale: Quanji Cai Sheema Kooshapur Michael Manhart, Ralf-Peter Mundani, Ernst Rank, Andreas Springer, Boris Vexler -- Optimal Control of Partially Miscible Two-Phase Flow with Applications to Subsurface CO2 Sequestration: Moritz Simon and Michael Ulbrich -- A Newton-CG Method for Full-Waveform Inversion in a Coupled Solid-Fluid System: Christian Boehm and Michael Ulbrich -- Advances in the Parallelisation of Software for Quantum Chemistry Applications: Martin Roderus, Alexei Matveev, Hans-Joachim Bungartz and Notker Rösch -- Designing Spacecraft High Performance Computing Architectures: Fisnik Kraja, Georg Acher, Arndt Bode -- Requirements Engineering for Computational Seismology Software: Yang Li, Bernd Bruegge, Simon Stähler, Nitesh Narayan, and Heiner Igel -- A High-Performance Interactive Computing Framework for Engineering Applications: Jovana Kneževi´c, Ralf-Peter Mundani, Ernst Rank -- A Framework for the Interactive Handling of High-Dimensional Simulation Data in Complex Geometries: A. Benzina, G. Buse, D. Butnaru, A. Murarasu, M. Treib, V. Varduhn, R.-P. Mundani -- Experiences with a Flexibly Reconfigurable Visualization System on Software Development and Workplace Ergonomics: Marcus Tönnis, Amal Benzina, Gudrun Klinker En línea: http://dx.doi.org/10.1007/978-3-642-38762-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32586 Ejemplares
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Título : Aritmetica: un approccio computazionale Tipo de documento: documento electrónico Autores: Giulio Cesare Barozzi ; SpringerLink (Online service) Editorial: Milano : Springer Milan Fecha de publicación: 2007 Colección: Convergenze Número de páginas: VI, 123 pagg Il.: online resource ISBN/ISSN/DL: 978-88-470-0582-2 Idioma : Italiano (ita) Palabras clave: Mathematics Numerical analysis Algorithms Computer software Number theory Theory Mathematical Software Numeric Computing Clasificación: 51 Matemáticas Resumen: "La matematica è la regina delle scienze e l'aritmetica è la regina delle matematiche"; così scrisse Carl Friedrich Gauss, L'insegnamento della matematica, tanto a livello universitario quanto a livello di scuola secondaria, sembra aver dimenticato l''autorevole precetto del princeps mathematicorum. Solo in anni recenti si potuto riscontrare un'inversione di tendenza. La scoperta, avvenuta nel 1977 da parte di tre ricercatori del M.I.T., che un risultato risalente a Fermat e generalizzato da Eulero poteva essere utilizzato per la costruzione di codici crittografici difficilmente decifrabili, ha destato un forte ritorno di interesse per l'aritmetica da parte di ambienti industriali, bancari e militari. Problemi antichi, come la scomposizione degli interi in fattori primi, hanno ricevuto in anni recentissimi un rinnovato interesse. Questo volumetto, scritto in una prospettiva didattica, vuole essere un contributo alla rilettura in chiave algoritmica di alcuni classici argomenti della teoria elementare dei numeri e un invito a letture più impegnative, secondo le indicazioni fornite dalla bibliografia annessa ad esso Nota de contenido: Capitolo 1: Numeri interi -- Capitolo 2: Aritmetica modulare -- Capitolo 3: Numeri primi -- Capitolo 4: Numeri razionali -- Appendice 1: Listati in TI-BASIC -- Appendice 2: Sintesi dei principali comandi -- Relativi alla teoria dei numeri in Derive, Maple e Mathematica -- Bibliografia -- Indice analitico En línea: http://dx.doi.org/10.1007/978-88-470-0582-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34728 Aritmetica: un approccio computazionale [documento electrónico] / Giulio Cesare Barozzi ; SpringerLink (Online service) . - Milano : Springer Milan, 2007 . - VI, 123 pagg : online resource. - (Convergenze) .
ISBN : 978-88-470-0582-2
Idioma : Italiano (ita)
Palabras clave: Mathematics Numerical analysis Algorithms Computer software Number theory Theory Mathematical Software Numeric Computing Clasificación: 51 Matemáticas Resumen: "La matematica è la regina delle scienze e l'aritmetica è la regina delle matematiche"; così scrisse Carl Friedrich Gauss, L'insegnamento della matematica, tanto a livello universitario quanto a livello di scuola secondaria, sembra aver dimenticato l''autorevole precetto del princeps mathematicorum. Solo in anni recenti si potuto riscontrare un'inversione di tendenza. La scoperta, avvenuta nel 1977 da parte di tre ricercatori del M.I.T., che un risultato risalente a Fermat e generalizzato da Eulero poteva essere utilizzato per la costruzione di codici crittografici difficilmente decifrabili, ha destato un forte ritorno di interesse per l'aritmetica da parte di ambienti industriali, bancari e militari. Problemi antichi, come la scomposizione degli interi in fattori primi, hanno ricevuto in anni recentissimi un rinnovato interesse. Questo volumetto, scritto in una prospettiva didattica, vuole essere un contributo alla rilettura in chiave algoritmica di alcuni classici argomenti della teoria elementare dei numeri e un invito a letture più impegnative, secondo le indicazioni fornite dalla bibliografia annessa ad esso Nota de contenido: Capitolo 1: Numeri interi -- Capitolo 2: Aritmetica modulare -- Capitolo 3: Numeri primi -- Capitolo 4: Numeri razionali -- Appendice 1: Listati in TI-BASIC -- Appendice 2: Sintesi dei principali comandi -- Relativi alla teoria dei numeri in Derive, Maple e Mathematica -- Bibliografia -- Indice analitico En línea: http://dx.doi.org/10.1007/978-88-470-0582-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34728 Ejemplares
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Título : Automated Solution of Differential Equations by the Finite Element Method : The FEniCS Book Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Anders Logg ; Kent-Andre Mardal ; Garth Wells Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2012 Colección: Lecture Notes in Computational Science and Engineering, ISSN 1439-7358 num. 84 Número de páginas: XIII, 723 p. 346 illus., 52 illus. in color Il.: online resource ISBN/ISSN/DL: 978-3-642-23099-8 Idioma : Inglés (eng) Palabras clave: Mathematics Earth sciences Numerical analysis Computer mathematics software Physics Applied Engineering Mathematical Software Theoretical, and Computational Numeric Computing Appl.Mathematics/Computational Methods of Science Sciences, general Clasificación: 51 Matemáticas Resumen: This book is written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a tutorial for readers who are new to the topic. Following the tutorial, chapters in Part I address fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics En línea: http://dx.doi.org/10.1007/978-3-642-23099-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32931 Automated Solution of Differential Equations by the Finite Element Method : The FEniCS Book [documento electrónico] / SpringerLink (Online service) ; Anders Logg ; Kent-Andre Mardal ; Garth Wells . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2012 . - XIII, 723 p. 346 illus., 52 illus. in color : online resource. - (Lecture Notes in Computational Science and Engineering, ISSN 1439-7358; 84) .
ISBN : 978-3-642-23099-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Earth sciences Numerical analysis Computer mathematics software Physics Applied Engineering Mathematical Software Theoretical, and Computational Numeric Computing Appl.Mathematics/Computational Methods of Science Sciences, general Clasificación: 51 Matemáticas Resumen: This book is written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a tutorial for readers who are new to the topic. Following the tutorial, chapters in Part I address fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics En línea: http://dx.doi.org/10.1007/978-3-642-23099-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32931 Ejemplares
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