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Título : Analysis and Design of Univariate Subdivision Schemes Tipo de documento: documento electrónico Autores: Sabin, Malcolm ; SpringerLink (Online service) Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2010 Colección: Geometry and Computing, ISSN 1866-6795 num. 6 Número de páginas: XIV, 218 p. 68 illus Il.: online resource ISBN/ISSN/DL: 978-3-642-13648-1 Idioma : Inglés (eng) Palabras clave: Mathematics Computer simulation graphics Computer-aided engineering Visualization Geometry Discrete mathematics Simulation and Modeling Computer-Aided Engineering (CAD, CAE) Design Graphics Clasificación: 51 Matemáticas Resumen: This book covers the theory of subdivision curves in detail, which is a prerequisite for that of subdivision surfaces. The book reports on the currently known ways of analysing a subdivision scheme (i.e. measuring criteria which might be important for the application of a scheme to a given context). It then goes on to consider how those analyses can be used in reverse to design a scheme best matching the particular criteria for a given application. The book is presented in an accessible fashion, even for those whose mathematics is a tool to be used, not a way of life. It should provide the reader with a full and deep understanding of the state-of-the-art in subdivision analysis, and separate sections on mathematical techniques provide revision for those needing it. The book will be of great interest to those starting to do research in CAD/CAE. It will also appeal to those lecturing in this subject and industrial workers implementing these methods. The author has spent his professional life on the numerical representation of shape and his book fills a need for a book covering the fundamental ideas in the simplest possible context, that of curves Nota de contenido: Prependices -- Functions and Curves -- Differences -- B-Splines -- Eigenfactorisation -- Enclosures -- Hölder Continuity -- Matrix Norms -- Joint Spectral Radius -- Radix Notation -- z-transforms -- Dramatis Personae -- An introduction to some regularly-appearing characters -- Analyses -- Support -- Enclosure -- Continuity 1 - at Support Ends -- Continuity 2 - Eigenanalysis -- Continuity 3 - Difference Schemes -- Continuity 4 - Difference Eigenanalysis -- Continuity 5 - the Joint Spectral Radius -- What Converges ? -- Reproduction of Polynomials -- Artifacts -- Normalisation of Schemes -- Summary of Analysis Results -- Design -- The Design Space -- Linear Subspaces of the Design Space -- Non-linear Conditions -- Non-Stationary Schemes -- Geometry Sensitive Schemes -- Implementation -- Making Polygons -- Rendering -- Interrogation -- End Conditions -- Modifying the Original Polygon -- Appendices -- Proofs -- Historical Notes -- Solutions to Exercises -- Coda En línea: http://dx.doi.org/10.1007/978-3-642-13648-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33762 Analysis and Design of Univariate Subdivision Schemes [documento electrónico] / Sabin, Malcolm ; SpringerLink (Online service) . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2010 . - XIV, 218 p. 68 illus : online resource. - (Geometry and Computing, ISSN 1866-6795; 6) .
ISBN : 978-3-642-13648-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer simulation graphics Computer-aided engineering Visualization Geometry Discrete mathematics Simulation and Modeling Computer-Aided Engineering (CAD, CAE) Design Graphics Clasificación: 51 Matemáticas Resumen: This book covers the theory of subdivision curves in detail, which is a prerequisite for that of subdivision surfaces. The book reports on the currently known ways of analysing a subdivision scheme (i.e. measuring criteria which might be important for the application of a scheme to a given context). It then goes on to consider how those analyses can be used in reverse to design a scheme best matching the particular criteria for a given application. The book is presented in an accessible fashion, even for those whose mathematics is a tool to be used, not a way of life. It should provide the reader with a full and deep understanding of the state-of-the-art in subdivision analysis, and separate sections on mathematical techniques provide revision for those needing it. The book will be of great interest to those starting to do research in CAD/CAE. It will also appeal to those lecturing in this subject and industrial workers implementing these methods. The author has spent his professional life on the numerical representation of shape and his book fills a need for a book covering the fundamental ideas in the simplest possible context, that of curves Nota de contenido: Prependices -- Functions and Curves -- Differences -- B-Splines -- Eigenfactorisation -- Enclosures -- Hölder Continuity -- Matrix Norms -- Joint Spectral Radius -- Radix Notation -- z-transforms -- Dramatis Personae -- An introduction to some regularly-appearing characters -- Analyses -- Support -- Enclosure -- Continuity 1 - at Support Ends -- Continuity 2 - Eigenanalysis -- Continuity 3 - Difference Schemes -- Continuity 4 - Difference Eigenanalysis -- Continuity 5 - the Joint Spectral Radius -- What Converges ? -- Reproduction of Polynomials -- Artifacts -- Normalisation of Schemes -- Summary of Analysis Results -- Design -- The Design Space -- Linear Subspaces of the Design Space -- Non-linear Conditions -- Non-Stationary Schemes -- Geometry Sensitive Schemes -- Implementation -- Making Polygons -- Rendering -- Interrogation -- End Conditions -- Modifying the Original Polygon -- Appendices -- Proofs -- Historical Notes -- Solutions to Exercises -- Coda En línea: http://dx.doi.org/10.1007/978-3-642-13648-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33762 Ejemplares
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Título : Analytical Methods in Anisotropic Elasticity : with Symbolic Computational Tools Tipo de documento: documento electrónico Autores: Rand, Omri ; SpringerLink (Online service) ; Rovenski, Vladimir Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2005 Número de páginas: XVIII, 451 p. 167 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4420-8 Idioma : Inglés (eng) Palabras clave: Mathematics Computer-aided engineering Applied mathematics Engineering Computer Physics Continuum mechanics Applications of Mechanics and Materials Appl.Mathematics/Computational Methods Computational Numerical Analysis Computer-Aided (CAD, CAE) Design Mathematical in Clasificación: 51 Matemáticas Resumen: This comprehensive textbook/reference focuses on the mathematical techniques and solution methodologies required to establish the foundations of anisotropic elasticity and provides the theoretical background for composite material analysis. Specific attention is devoted to the potential of modern symbolic computational tools to support highly complex analytical solutions and their contribution to the rigor, analytical uniformity and exactness of the derivation. Key features: * Refreshes and modernizes classical mathematical methods encountered in the theory of anisotropic elasticity * Reviews basic and advanced steps of general analytical solutions, including the initial assumptions and selection of an adequate analytical course * Demonstrates the potential of symbolic computational tools to support the development of analytical solutions and to verify their exactness * Examines the physical interpretation of exact and approximate mathematical solutions and provides important insight into the involved phenomena * Provides state-of-the-art solutions for a wide range of cases, including non-homogeneous and thin-walled configurations Analytical Methods in Anisotropic Elasticity will appeal to a broad audience involved in mathematical modeling, all of whom must have good mathematical skills: graduate students and professors in courses on elasticity and solid-mechanics labs/seminars, applied mathematicians and numerical analysts, scientists and researchers. Engineers involved in aeronautical and space, maritime and mechanical design of composite material structures will find this an excellent hands-on reference text as well. All will benefit from the classical and advanced solutions that are derived and presented using symbolic computational techniques Nota de contenido: Fundamentals of Anisotropic Elasticity and Analytical Methodologies -- Anisotropic Materials -- Plane Deformation Analysis -- Solution Methodologies -- Foundations of Anisotropic Beam Analysis -- Beams of General Anisotropy -- Homogeneous, Uncoupled Monoclinic Beams -- Non-Homogeneous Plane and Beam Analysis -- Solid Coupled Monoclinic Beams -- Thin-Walled Coupled Monoclinic Beams -- Program Descriptions En línea: http://dx.doi.org/10.1007/b138765 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35178 Analytical Methods in Anisotropic Elasticity : with Symbolic Computational Tools [documento electrónico] / Rand, Omri ; SpringerLink (Online service) ; Rovenski, Vladimir . - Boston, MA : Birkhäuser Boston, 2005 . - XVIII, 451 p. 167 illus : online resource.
ISBN : 978-0-8176-4420-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer-aided engineering Applied mathematics Engineering Computer Physics Continuum mechanics Applications of Mechanics and Materials Appl.Mathematics/Computational Methods Computational Numerical Analysis Computer-Aided (CAD, CAE) Design Mathematical in Clasificación: 51 Matemáticas Resumen: This comprehensive textbook/reference focuses on the mathematical techniques and solution methodologies required to establish the foundations of anisotropic elasticity and provides the theoretical background for composite material analysis. Specific attention is devoted to the potential of modern symbolic computational tools to support highly complex analytical solutions and their contribution to the rigor, analytical uniformity and exactness of the derivation. Key features: * Refreshes and modernizes classical mathematical methods encountered in the theory of anisotropic elasticity * Reviews basic and advanced steps of general analytical solutions, including the initial assumptions and selection of an adequate analytical course * Demonstrates the potential of symbolic computational tools to support the development of analytical solutions and to verify their exactness * Examines the physical interpretation of exact and approximate mathematical solutions and provides important insight into the involved phenomena * Provides state-of-the-art solutions for a wide range of cases, including non-homogeneous and thin-walled configurations Analytical Methods in Anisotropic Elasticity will appeal to a broad audience involved in mathematical modeling, all of whom must have good mathematical skills: graduate students and professors in courses on elasticity and solid-mechanics labs/seminars, applied mathematicians and numerical analysts, scientists and researchers. Engineers involved in aeronautical and space, maritime and mechanical design of composite material structures will find this an excellent hands-on reference text as well. All will benefit from the classical and advanced solutions that are derived and presented using symbolic computational techniques Nota de contenido: Fundamentals of Anisotropic Elasticity and Analytical Methodologies -- Anisotropic Materials -- Plane Deformation Analysis -- Solution Methodologies -- Foundations of Anisotropic Beam Analysis -- Beams of General Anisotropy -- Homogeneous, Uncoupled Monoclinic Beams -- Non-Homogeneous Plane and Beam Analysis -- Solid Coupled Monoclinic Beams -- Thin-Walled Coupled Monoclinic Beams -- Program Descriptions En línea: http://dx.doi.org/10.1007/b138765 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35178 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Domain Decomposition Methods in Science and Engineering XX / SpringerLink (Online service) ; Randolph Bank ; Holst, Michael ; Widlund, Olof ; Xu, Jinchao (2013)
Título : Domain Decomposition Methods in Science and Engineering XX Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Randolph Bank ; Holst, Michael ; Widlund, Olof ; Xu, Jinchao 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. 91 Número de páginas: XIX, 686 p Il.: online resource ISBN/ISSN/DL: 978-3-642-35275-1 Idioma : Inglés (eng) Palabras clave: Mathematics Computer-aided engineering Partial differential equations Computer mathematics Computational and Numerical Analysis Science Engineering Differential Equations Computer-Aided (CAD, CAE) Design Clasificación: 51 Matemáticas Resumen: These are the proceedings of the 20th international conference on domain decomposition methods in science and engineering. Domain decomposition methods are iterative methods for solving the often very large linearor nonlinear systems of algebraic equations that arise when various problems in continuum mechanics are discretized using finite elements. They are designed for massively parallel computers and take the memory hierarchy of such systems in mind. This is essential for approaching peak floating point performance. There is an increasingly well developed theory whichis having a direct impact on the development and improvements of these algorithms Nota de contenido: Preface -- Part I: Plenary Presentations -- Part II: Minisymposia -- Part III: Contributed Presentations En línea: http://dx.doi.org/10.1007/978-3-642-35275-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32559 Domain Decomposition Methods in Science and Engineering XX [documento electrónico] / SpringerLink (Online service) ; Randolph Bank ; Holst, Michael ; Widlund, Olof ; Xu, Jinchao . - Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013 . - XIX, 686 p : online resource. - (Lecture Notes in Computational Science and Engineering, ISSN 1439-7358; 91) .
ISBN : 978-3-642-35275-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer-aided engineering Partial differential equations Computer mathematics Computational and Numerical Analysis Science Engineering Differential Equations Computer-Aided (CAD, CAE) Design Clasificación: 51 Matemáticas Resumen: These are the proceedings of the 20th international conference on domain decomposition methods in science and engineering. Domain decomposition methods are iterative methods for solving the often very large linearor nonlinear systems of algebraic equations that arise when various problems in continuum mechanics are discretized using finite elements. They are designed for massively parallel computers and take the memory hierarchy of such systems in mind. This is essential for approaching peak floating point performance. There is an increasingly well developed theory whichis having a direct impact on the development and improvements of these algorithms Nota de contenido: Preface -- Part I: Plenary Presentations -- Part II: Minisymposia -- Part III: Contributed Presentations En línea: http://dx.doi.org/10.1007/978-3-642-35275-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32559 Ejemplares
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Título : Parallel Computational Fluid Dynamics 2008 : Parallel Numerical Methods, Software Development and Applications Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Tromeur-Dervout, Damien ; Brenner, Gunther ; Emerson, David R ; Erhel, Jocelyne Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2010 Colección: Lecture Notes in Computational Science and Engineering, ISSN 1439-7358 num. 74 Número de páginas: XIV, 438 p. 233 illus Il.: online resource ISBN/ISSN/DL: 978-3-642-14438-7 Idioma : Inglés (eng) Palabras clave: Physics Computer-aided engineering Computer mathematics Continuum physics Fluids Applied Engineering Classical Appl.Mathematics/Computational Methods of Computer-Aided (CAD, CAE) and Design Computational Science Fluid- Aerodynamics Theoretical, Mathematical Clasificación: 51 Matemáticas Resumen: This book collects the proceedings of the Parallel Computational Fluid Dynamics 2008 conference held in Lyon, France. Contributed papers by over 40 researchers representing the state of the art in parallel CFD and architecture from Asia, Europe, and North America examine major developments in (1) block-structured grid and boundary methods to simulate flows over moving bodies, (2) specific methods for optimization in Aerodynamics Design, (3) innovative parallel algorithms and numerical solvers, such as scalable algebraic multilevel preconditioners and the acceleration of iterative solutions, (4) software frameworks and component architectures for parallelism, (5) large scale computing and parallel efficiencies in the industrial context, (6) lattice Boltzmann and SPH methods, and (7) applications in the environment, biofluids, and nuclear engineering En línea: http://dx.doi.org/10.1007/978-3-642-14438-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33770 Parallel Computational Fluid Dynamics 2008 : Parallel Numerical Methods, Software Development and Applications [documento electrónico] / SpringerLink (Online service) ; Tromeur-Dervout, Damien ; Brenner, Gunther ; Emerson, David R ; Erhel, Jocelyne . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2010 . - XIV, 438 p. 233 illus : online resource. - (Lecture Notes in Computational Science and Engineering, ISSN 1439-7358; 74) .
ISBN : 978-3-642-14438-7
Idioma : Inglés (eng)
Palabras clave: Physics Computer-aided engineering Computer mathematics Continuum physics Fluids Applied Engineering Classical Appl.Mathematics/Computational Methods of Computer-Aided (CAD, CAE) and Design Computational Science Fluid- Aerodynamics Theoretical, Mathematical Clasificación: 51 Matemáticas Resumen: This book collects the proceedings of the Parallel Computational Fluid Dynamics 2008 conference held in Lyon, France. Contributed papers by over 40 researchers representing the state of the art in parallel CFD and architecture from Asia, Europe, and North America examine major developments in (1) block-structured grid and boundary methods to simulate flows over moving bodies, (2) specific methods for optimization in Aerodynamics Design, (3) innovative parallel algorithms and numerical solvers, such as scalable algebraic multilevel preconditioners and the acceleration of iterative solutions, (4) software frameworks and component architectures for parallelism, (5) large scale computing and parallel efficiencies in the industrial context, (6) lattice Boltzmann and SPH methods, and (7) applications in the environment, biofluids, and nuclear engineering En línea: http://dx.doi.org/10.1007/978-3-642-14438-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33770 Ejemplares
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Título : Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable Tipo de documento: documento electrónico Autores: Farouki, Rida T ; SpringerLink (Online service) Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2008 Colección: Geometry and Computing, ISSN 1866-6795 num. 1 Número de páginas: XVI, 728 p. 204 illus Il.: online resource ISBN/ISSN/DL: 978-3-540-73398-0 Idioma : Inglés (eng) Palabras clave: Mathematics Computer graphics Computer-aided engineering Algebra mathematics Geometry Computational intelligence Computer-Aided Engineering (CAD, CAE) and Design Numerical Analysis Imaging, Vision, Pattern Recognition Graphics Intelligence Clasificación: 51 Matemáticas Resumen: By virtue of their special algebraic structures, Pythagorean-hodograph (PH) curves offer unique advantages for computer-aided design and manufacturing, robotics, motion control, path planning, computer graphics, animation, and related fields. This book offers a comprehensive and self-contained treatment of the mathematical theory of PH curves, including algorithms for their construction and examples of their practical applications. Special features include an emphasis on the interplay of ideas from algebra and geometry and their historical origins, detailed algorithm descriptions, and many figures and worked examples. The book may appeal, in whole or in part, to mathematicians, computer scientists, and engineers Nota de contenido: Algebra -- Preamble -- Polynomials -- Complex Numbers -- Quaternions -- Clifford Algebra -- Geometry -- Coordinate Systems -- Differential Geometry -- Algebraic Geometry -- Non—Euclidean Geometry -- Computer Aided Geometric Design -- The Bernstein Basis -- Numerical Stability -- Bézier Curves and Surfaces -- C2 Cubic Spline Curves -- Spline Basis Functions -- Planar Pythagorean-hodograph Curves -- Arc—length Parameterization -- Pythagorean—hodograph Curves -- Tschirnhausen's Cubic -- Complex Representation -- Rational Pythagorean-hodograph Curves -- Spatial Pythagorean-hodograph Curves -- Pythagorean Hodographs in ?3 -- Quaternion Representation -- Helical Polynomial Curves -- Minkowski Pythagorean Hodographs -- Algorithms -- Planar Hermite Interpolants -- Elastic Bending Energy -- Planar C2 PH Quintic Splines -- Spatial Hermite Interpolants -- Applications -- Real—time CNC Interpolators -- Rotation—minimizing Frames -- Closure En línea: http://dx.doi.org/10.1007/978-3-540-73398-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34334 Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable [documento electrónico] / Farouki, Rida T ; SpringerLink (Online service) . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2008 . - XVI, 728 p. 204 illus : online resource. - (Geometry and Computing, ISSN 1866-6795; 1) .
ISBN : 978-3-540-73398-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer graphics Computer-aided engineering Algebra mathematics Geometry Computational intelligence Computer-Aided Engineering (CAD, CAE) and Design Numerical Analysis Imaging, Vision, Pattern Recognition Graphics Intelligence Clasificación: 51 Matemáticas Resumen: By virtue of their special algebraic structures, Pythagorean-hodograph (PH) curves offer unique advantages for computer-aided design and manufacturing, robotics, motion control, path planning, computer graphics, animation, and related fields. This book offers a comprehensive and self-contained treatment of the mathematical theory of PH curves, including algorithms for their construction and examples of their practical applications. Special features include an emphasis on the interplay of ideas from algebra and geometry and their historical origins, detailed algorithm descriptions, and many figures and worked examples. The book may appeal, in whole or in part, to mathematicians, computer scientists, and engineers Nota de contenido: Algebra -- Preamble -- Polynomials -- Complex Numbers -- Quaternions -- Clifford Algebra -- Geometry -- Coordinate Systems -- Differential Geometry -- Algebraic Geometry -- Non—Euclidean Geometry -- Computer Aided Geometric Design -- The Bernstein Basis -- Numerical Stability -- Bézier Curves and Surfaces -- C2 Cubic Spline Curves -- Spline Basis Functions -- Planar Pythagorean-hodograph Curves -- Arc—length Parameterization -- Pythagorean—hodograph Curves -- Tschirnhausen's Cubic -- Complex Representation -- Rational Pythagorean-hodograph Curves -- Spatial Pythagorean-hodograph Curves -- Pythagorean Hodographs in ?3 -- Quaternion Representation -- Helical Polynomial Curves -- Minkowski Pythagorean Hodographs -- Algorithms -- Planar Hermite Interpolants -- Elastic Bending Energy -- Planar C2 PH Quintic Splines -- Spatial Hermite Interpolants -- Applications -- Real—time CNC Interpolators -- Rotation—minimizing Frames -- Closure En línea: http://dx.doi.org/10.1007/978-3-540-73398-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34334 Ejemplares
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