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Autor Tveito, Aslak |
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Título : Computing the Electrical Activity in the Heart Tipo de documento: documento electrónico Autores: Sundnes, Joakim ; SpringerLink (Online service) ; Lines, Glenn Terje ; Cai, Xing ; Nielsen, Bjørn Fredrik ; Mardal, Kent-Andre ; Tveito, Aslak Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2006 Colección: Monographs in Computational Science and Engineering, ISSN 1863-0111 num. 1 Número de páginas: XII, 318 p. 99 illus., 18 illus. in color Il.: online resource ISBN/ISSN/DL: 978-3-540-33437-8 Idioma : Inglés (eng) Palabras clave: Mathematics Cardiology Bioinformatics Computational biology Computer mathematics Mathematical models Biomathematics Applied Engineering Science and Appl.Mathematics/Computational Methods of Physiological, Cellular Medical Topics Modeling Industrial Appl. in Life Sciences Clasificación: 51 Matemáticas Resumen: This book describes mathematical models and numerical techniques for simulating the electrical activity in the heart. The book gives an introduction to the most important models of the field, followed by a detailed description of numerical techniques for the models. Particular focus is on efficient numerical methods for large scale simulations on both scalar and parallel computers. The results presented in the book will be of particular interest to researchers in bioengineering and computational biology, who face the challenge of solving these complex mathematical models efficiently. The book will also serve as a valuable introduction to a new and exciting field for computational scientists and applied mathematicians Nota de contenido: Physiological Background -- Mathematical Models -- Computational Models -- Solving Linear Systems -- Solving Systems of ODEs -- Large-Scale Electrocardiac Simulations -- Inverse Problems En línea: http://dx.doi.org/10.1007/3-540-33437-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34960 Computing the Electrical Activity in the Heart [documento electrónico] / Sundnes, Joakim ; SpringerLink (Online service) ; Lines, Glenn Terje ; Cai, Xing ; Nielsen, Bjørn Fredrik ; Mardal, Kent-Andre ; Tveito, Aslak . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2006 . - XII, 318 p. 99 illus., 18 illus. in color : online resource. - (Monographs in Computational Science and Engineering, ISSN 1863-0111; 1) .
ISBN : 978-3-540-33437-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Cardiology Bioinformatics Computational biology Computer mathematics Mathematical models Biomathematics Applied Engineering Science and Appl.Mathematics/Computational Methods of Physiological, Cellular Medical Topics Modeling Industrial Appl. in Life Sciences Clasificación: 51 Matemáticas Resumen: This book describes mathematical models and numerical techniques for simulating the electrical activity in the heart. The book gives an introduction to the most important models of the field, followed by a detailed description of numerical techniques for the models. Particular focus is on efficient numerical methods for large scale simulations on both scalar and parallel computers. The results presented in the book will be of particular interest to researchers in bioengineering and computational biology, who face the challenge of solving these complex mathematical models efficiently. The book will also serve as a valuable introduction to a new and exciting field for computational scientists and applied mathematicians Nota de contenido: Physiological Background -- Mathematical Models -- Computational Models -- Solving Linear Systems -- Solving Systems of ODEs -- Large-Scale Electrocardiac Simulations -- Inverse Problems En línea: http://dx.doi.org/10.1007/3-540-33437-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34960 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Conversations About Challenges in Computing / SpringerLink (Online service) ; Bruaset, Are Magnus ; Tveito, Aslak (2013)
Título : Conversations About Challenges in Computing Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Bruaset, Are Magnus ; Tveito, Aslak Editorial: Heidelberg : Springer International Publishing Fecha de publicación: 2013 Otro editor: Imprint: Springer Número de páginas: X, 101 p. 13 illus., 12 illus. in color Il.: online resource ISBN/ISSN/DL: 978-3-319-00209-5 Idioma : Inglés (eng) Palabras clave: Mathematics Computer organization User interfaces (Computer systems) Partial differential equations mathematics Mathematical models Biomathematics Computational Science and Engineering Differential Equations Modeling Industrial Physiological, Cellular Medical Topics Systems Organization Communication Networks Interfaces Human Interaction Clasificación: 51 Matemáticas Resumen: This text sheds light on how mathematical models and computing can help understanding and prediction of complicated physical processes; how communication networks should be designed and implemented to meet the increasingly challenging requirements from users; and how modern engineering principles can lead to better and more robust software systems. Through interviews with 12 internationally recognized researchers within these fields, conducted by the well-known science writer Dana Mackenzie and the science journalist Kathrine Aspaas, the reader gets views on recent achievements and future challenges. Nota de contenido: Part I: Communications Systems: 1 The Nature of the Beast: An interview with Olav Lysne -- 2 Igniting the New Internet: An interview with Keith Marzullo -- 3 The Internet of Things: An interview with Heinrich Stüttgen -- Part II: Computational Science: 4 The Mathematics of the Mind: An interview with Hans Petter Langtangen -- 5 Solving Puzzle Earth by Adaptive Mesh Refinement: An interview with Carsten Burstedde -- 6 Computational Inverse Problems Can Drive a Big Data Revolution: An interview with Omar Ghattas.- 7 Towards the ‘Google Heart’: An interview with Natalia Trayanova -- 8 As Simple as Possible, but Not Simpler: An interview with Alfio Quarteroni -- Part III: Software Engineering -- 9 A Caring Critic: An interview with Magne Jørgensen -- 10 Through the Looking Glass into Digital Space: An interview with Paola Inverardi -- 11 Harmonizing the Babel of Voices: An interview with Martin Shepperd -- 12 Mediating between Man and Machine: An interview with Bashar Nuseibeh. En línea: http://dx.doi.org/10.1007/978-3-319-00209-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32456 Conversations About Challenges in Computing [documento electrónico] / SpringerLink (Online service) ; Bruaset, Are Magnus ; Tveito, Aslak . - Heidelberg : Springer International Publishing : Imprint: Springer, 2013 . - X, 101 p. 13 illus., 12 illus. in color : online resource.
ISBN : 978-3-319-00209-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer organization User interfaces (Computer systems) Partial differential equations mathematics Mathematical models Biomathematics Computational Science and Engineering Differential Equations Modeling Industrial Physiological, Cellular Medical Topics Systems Organization Communication Networks Interfaces Human Interaction Clasificación: 51 Matemáticas Resumen: This text sheds light on how mathematical models and computing can help understanding and prediction of complicated physical processes; how communication networks should be designed and implemented to meet the increasingly challenging requirements from users; and how modern engineering principles can lead to better and more robust software systems. Through interviews with 12 internationally recognized researchers within these fields, conducted by the well-known science writer Dana Mackenzie and the science journalist Kathrine Aspaas, the reader gets views on recent achievements and future challenges. Nota de contenido: Part I: Communications Systems: 1 The Nature of the Beast: An interview with Olav Lysne -- 2 Igniting the New Internet: An interview with Keith Marzullo -- 3 The Internet of Things: An interview with Heinrich Stüttgen -- Part II: Computational Science: 4 The Mathematics of the Mind: An interview with Hans Petter Langtangen -- 5 Solving Puzzle Earth by Adaptive Mesh Refinement: An interview with Carsten Burstedde -- 6 Computational Inverse Problems Can Drive a Big Data Revolution: An interview with Omar Ghattas.- 7 Towards the ‘Google Heart’: An interview with Natalia Trayanova -- 8 As Simple as Possible, but Not Simpler: An interview with Alfio Quarteroni -- Part III: Software Engineering -- 9 A Caring Critic: An interview with Magne Jørgensen -- 10 Through the Looking Glass into Digital Space: An interview with Paola Inverardi -- 11 Harmonizing the Babel of Voices: An interview with Martin Shepperd -- 12 Mediating between Man and Machine: An interview with Bashar Nuseibeh. En línea: http://dx.doi.org/10.1007/978-3-319-00209-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32456 Ejemplares
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Título : Elements of Scientific Computing Tipo de documento: documento electrónico Autores: Tveito, Aslak ; SpringerLink (Online service) ; Langtangen, Hans Petter ; Nielsen, Bjørn Frederik ; Cai, Xing Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2010 Colección: Texts in Computational Science and Engineering, ISSN 1611-0994 num. 7 Número de páginas: XII, 468 p. 86 illus Il.: online resource ISBN/ISSN/DL: 978-3-642-11299-7 Idioma : Inglés (eng) Palabras clave: Mathematics Bioinformatics Computational biology Computer mathematics Physics intelligence and Numerical Analysis Science Engineering Intelligence Appl. in Life Sciences Clasificación: 51 Matemáticas Resumen: Science used to be experiments and theory, now it is experiments, theory and computations. The computational approach to understanding nature and technology is currently flowering in many fields such as physics, geophysics, astrophysics, chemistry, biology, and most engineering disciplines. This book is a gentle introduction to such computational methods where the techniques are explained through examples. It is our goal to teach principles and ideas that carry over from field to field. You will learn basic methods and how to implement them. In order to gain the most from this text, you will need prior knowledge of calculus, basic linear algebra and elementary programming Nota de contenido: Computing Integrals.- Differential Equations: The First Steps -- Systems of Ordinary Differential Equations -- Nonlinear Algebraic Equations.- The Method of Least Squares.- About Scientific Software -- The Diffusion Equation -- Analysis of the Diffusion Equation -- Parameter Estimation and Inverse Problems. - A Glimpse of Parallel Computing -- Index En línea: http://dx.doi.org/10.1007/978-3-642-11299-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33741 Elements of Scientific Computing [documento electrónico] / Tveito, Aslak ; SpringerLink (Online service) ; Langtangen, Hans Petter ; Nielsen, Bjørn Frederik ; Cai, Xing . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2010 . - XII, 468 p. 86 illus : online resource. - (Texts in Computational Science and Engineering, ISSN 1611-0994; 7) .
ISBN : 978-3-642-11299-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Bioinformatics Computational biology Computer mathematics Physics intelligence and Numerical Analysis Science Engineering Intelligence Appl. in Life Sciences Clasificación: 51 Matemáticas Resumen: Science used to be experiments and theory, now it is experiments, theory and computations. The computational approach to understanding nature and technology is currently flowering in many fields such as physics, geophysics, astrophysics, chemistry, biology, and most engineering disciplines. This book is a gentle introduction to such computational methods where the techniques are explained through examples. It is our goal to teach principles and ideas that carry over from field to field. You will learn basic methods and how to implement them. In order to gain the most from this text, you will need prior knowledge of calculus, basic linear algebra and elementary programming Nota de contenido: Computing Integrals.- Differential Equations: The First Steps -- Systems of Ordinary Differential Equations -- Nonlinear Algebraic Equations.- The Method of Least Squares.- About Scientific Software -- The Diffusion Equation -- Analysis of the Diffusion Equation -- Parameter Estimation and Inverse Problems. - A Glimpse of Parallel Computing -- Index En línea: http://dx.doi.org/10.1007/978-3-642-11299-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33741 Ejemplares
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Título : Introduction to Partial Differential Equations : A Computational Approach Tipo de documento: documento electrónico Autores: Tveito, Aslak ; SpringerLink (Online service) ; Winther, Ragnar ; Marsden, J.E ; Sirovich, L ; Golubitsky, M ; Jäger, W Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2005 Colección: Texts in Applied Mathematics, ISSN 0939-2475 num. 29 Número de páginas: XVI, 394 p Il.: online resource ISBN/ISSN/DL: 978-3-540-26740-9 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Partial differential equations Computer mathematics Differential Equations Computational Science and Engineering Clasificación: 51 Matemáticas Resumen: Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the cl- sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Ma- ematical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs. Preface "It is impossible to exaggerate the extent to which modern applied mathematics has been shaped and fueled by the g- eral availability of fast computers with large memories. Their impact on mathematics, both applied and pure, is comparable to the role of the telescopes in astronomy and microscopes in biology." — Peter Lax, Siam Rev. Vol. 31 No. 4 Congratulations! You have chosen to study partial differential equations Nota de contenido: Setting the Scene -- Two-Point Boundary Value Problems -- The Heat Equation -- Finite Difference Schemes for the Heat Equation -- The Wave Equation -- Maximum Principles -- Poisson's Equation in Two Space Dimensions -- Orthogonality and General Fourier Series -- Convergence of Fourier Series -- The Heat Equation Revisited -- Reaction-Diffusion Equations -- Applications of the Fourier Transform En línea: http://dx.doi.org/10.1007/b138016 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35249 Introduction to Partial Differential Equations : A Computational Approach [documento electrónico] / Tveito, Aslak ; SpringerLink (Online service) ; Winther, Ragnar ; Marsden, J.E ; Sirovich, L ; Golubitsky, M ; Jäger, W . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2005 . - XVI, 394 p : online resource. - (Texts in Applied Mathematics, ISSN 0939-2475; 29) .
ISBN : 978-3-540-26740-9
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Partial differential equations Computer mathematics Differential Equations Computational Science and Engineering Clasificación: 51 Matemáticas Resumen: Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the cl- sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Ma- ematical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs. Preface "It is impossible to exaggerate the extent to which modern applied mathematics has been shaped and fueled by the g- eral availability of fast computers with large memories. Their impact on mathematics, both applied and pure, is comparable to the role of the telescopes in astronomy and microscopes in biology." — Peter Lax, Siam Rev. Vol. 31 No. 4 Congratulations! You have chosen to study partial differential equations Nota de contenido: Setting the Scene -- Two-Point Boundary Value Problems -- The Heat Equation -- Finite Difference Schemes for the Heat Equation -- The Wave Equation -- Maximum Principles -- Poisson's Equation in Two Space Dimensions -- Orthogonality and General Fourier Series -- Convergence of Fourier Series -- The Heat Equation Revisited -- Reaction-Diffusion Equations -- Applications of the Fourier Transform En línea: http://dx.doi.org/10.1007/b138016 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35249 Ejemplares
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Título : Numerical Solution of Partial Differential Equations on Parallel Computers Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Bruaset, Are Magnus ; Tveito, Aslak Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2006 Colección: Lecture Notes in Computational Science and Engineering, ISSN 1439-7358 num. 51 Número de páginas: XII, 482 p. 201 illus., 30 illus. in color Il.: online resource ISBN/ISSN/DL: 978-3-540-31619-0 Idioma : Inglés (eng) Palabras clave: Mathematics Computer science Mathematical analysis Analysis (Mathematics) Partial differential equations mathematics Physics Computational Science and Engineering Numerical of Computing Theoretical, Differential Equations Clasificación: 51 Matemáticas Resumen: Since the dawn of computing, the quest for a better understanding of Nature has been a driving force for technological development. Groundbreaking achievements by great scientists have paved the way from the abacus to the supercomputing power of today. When trying to replicate Nature in the computer’s silicon test tube, there is need for precise and computable process descriptions. The scienti?c ?elds of Ma- ematics and Physics provide a powerful vehicle for such descriptions in terms of Partial Differential Equations (PDEs). Formulated as such equations, physical laws can become subject to computational and analytical studies. In the computational setting, the equations can be discreti ed for ef?cient solution on a computer, leading to valuable tools for simulation of natural and man-made processes. Numerical so- tion of PDE-based mathematical models has been an important research topic over centuries, and will remain so for centuries to come. In the context of computer-based simulations, the quality of the computed results is directly connected to the model’s complexity and the number of data points used for the computations. Therefore, computational scientists tend to ?ll even the largest and most powerful computers they can get access to, either by increasing the si e of the data sets, or by introducing new model terms that make the simulations more realistic, or a combination of both. Today, many important simulation problems can not be solved by one single computer, but calls for parallel computing Nota de contenido: Parallel Computing -- Parallel Programming Models Applicable to Cluster Computing and Beyond -- Partitioning and Dynamic Load Balancing for the Numerical Solution of Partial Differential Equations -- Graphics Processor Units: New Prospects for Parallel Computing -- Parallel Algorithms -- Domain Decomposition Techniques -- Parallel Geometric Multigrid -- Parallel Algebraic Multigrid Methods — High Performance Preconditioners -- Parallel Mesh Generation -- Parallel Software Tools -- The Design and Implementation of hypre, a Library of Parallel High Performance Preconditioners -- Parallelizing PDE Solvers Using the Python Programming Language -- Parallel PDE-Based Simulations Using the Common Component Architecture -- Parallel Applications -- Full-Scale Simulation of Cardiac Electrophysiology on Parallel Computers -- Developing a Geodynamics Simulator with PETSc -- Parallel Lattice Boltzmann Methods for CFD Applications En línea: http://dx.doi.org/10.1007/3-540-31619-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34941 Numerical Solution of Partial Differential Equations on Parallel Computers [documento electrónico] / SpringerLink (Online service) ; Bruaset, Are Magnus ; Tveito, Aslak . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2006 . - XII, 482 p. 201 illus., 30 illus. in color : online resource. - (Lecture Notes in Computational Science and Engineering, ISSN 1439-7358; 51) .
ISBN : 978-3-540-31619-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer science Mathematical analysis Analysis (Mathematics) Partial differential equations mathematics Physics Computational Science and Engineering Numerical of Computing Theoretical, Differential Equations Clasificación: 51 Matemáticas Resumen: Since the dawn of computing, the quest for a better understanding of Nature has been a driving force for technological development. Groundbreaking achievements by great scientists have paved the way from the abacus to the supercomputing power of today. When trying to replicate Nature in the computer’s silicon test tube, there is need for precise and computable process descriptions. The scienti?c ?elds of Ma- ematics and Physics provide a powerful vehicle for such descriptions in terms of Partial Differential Equations (PDEs). Formulated as such equations, physical laws can become subject to computational and analytical studies. In the computational setting, the equations can be discreti ed for ef?cient solution on a computer, leading to valuable tools for simulation of natural and man-made processes. Numerical so- tion of PDE-based mathematical models has been an important research topic over centuries, and will remain so for centuries to come. In the context of computer-based simulations, the quality of the computed results is directly connected to the model’s complexity and the number of data points used for the computations. Therefore, computational scientists tend to ?ll even the largest and most powerful computers they can get access to, either by increasing the si e of the data sets, or by introducing new model terms that make the simulations more realistic, or a combination of both. Today, many important simulation problems can not be solved by one single computer, but calls for parallel computing Nota de contenido: Parallel Computing -- Parallel Programming Models Applicable to Cluster Computing and Beyond -- Partitioning and Dynamic Load Balancing for the Numerical Solution of Partial Differential Equations -- Graphics Processor Units: New Prospects for Parallel Computing -- Parallel Algorithms -- Domain Decomposition Techniques -- Parallel Geometric Multigrid -- Parallel Algebraic Multigrid Methods — High Performance Preconditioners -- Parallel Mesh Generation -- Parallel Software Tools -- The Design and Implementation of hypre, a Library of Parallel High Performance Preconditioners -- Parallelizing PDE Solvers Using the Python Programming Language -- Parallel PDE-Based Simulations Using the Common Component Architecture -- Parallel Applications -- Full-Scale Simulation of Cardiac Electrophysiology on Parallel Computers -- Developing a Geodynamics Simulator with PETSc -- Parallel Lattice Boltzmann Methods for CFD Applications En línea: http://dx.doi.org/10.1007/3-540-31619-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34941 Ejemplares
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