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Título : Analysis and Numerics for Conservation Laws Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Warnecke, Gerald Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2005 Número de páginas: X, 542 p Il.: online resource ISBN/ISSN/DL: 978-3-540-27907-5 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Computer mathematics Numerical Continuum physics Astrophysics Fluid mechanics Computational and Engineering Dynamics Classical Physics Astroparticles Clasificación: 51 Matemáticas Resumen: Whatdoasupernovaexplosioninouterspace,?owaroundanairfoil and knocking in combustion engines have in common? The physical and chemical mechanisms as well as the sizes of these processes are quite di?erent. So are the motivations for studying them scienti?cally. The super- 8 nova is a thermo-nuclear explosion on a scale of 10 cm. Astrophysicists try to understand them in order to get insight into fundamental properties of the universe. In ?ows around airfoils of commercial airliners at the scale of 3 10 cm shock waves occur that in?uence the stability of the wings as well as fuel consumption in ?ight. This requires appropriate design of the shape and structure of airfoils by engineers. Knocking occurs in combustion, a chemical 1 process, and must be avoided since it damages motors. The scale is 10 cm and these processes must be optimized for e?ciency and environmental conside- tions. The common thread is that the underlying ?uid ?ows may at a certain scale of observation be described by basically the same type of hyperbolic s- tems of partial di?erential equations in divergence form, called conservation laws. Astrophysicists, engineers and mathematicians share a common interest in scienti?c progress on theory for these equations and the development of computational methods for solutions of the equations. Due to their wide applicability in modeling of continua, partial di?erential equationsareamajor?eldofresearchinmathematics. Asubstantialportionof mathematical research is related to the analysis and numerical approximation of solutions to such equations. Hyperbolic conservation laws in two or more spacedimensionsstillposeoneofthemainchallengestomodernmathematics Nota de contenido: Wave Processes at Interfaces -- Numerics for Magnetoplasmadynamic Propulsion -- Hexagonal Kinetic Models and the Numerical Simulation of Kinetic Boundary Layers -- High-resolution Simulation of Detonations with Detailed Chemistry -- Numerical Linear Stability Analysis for Compressible Fluids -- Simulation of Solar Radiative Magneto-Convection -- Riemann Problem for the Euler Equation with Non-Convex Equation of State including Phase Transitions -- Radiation Magnetohydrodynamics: Analysis for Model Problems and Efficient 3d-Simulations for the Full System -- Kinetic Schemes for Selected Initial and Boundary Value Problems -- A Local Level-Set Method under Involvement of Topological Aspects -- Hyperbolic Systems and Transport Equations in Mathematical Biology -- Travelling Waves in Systems of Hyperbolic Balance Laws -- The Role of the Jacobian in the Adaptive Discontinuous Galerkin Method for the Compressible Euler Equations -- The Multi-Scale Dust Formation in Substellar Atmospheres -- Meshless Methods for Conservation Laws -- Simulations of Turbulent Thermonuclear Burning in Type Ia Supernovae -- Hyperbolic GLM Scheme for Elliptic Constraints in Computational Electromagnetics and MHD -- Flexible Flame Structure Modelling in a Flame Front Tracking Scheme -- Riemann-Solver Free Schemes -- Relaxation Dynamics, Scaling Limits and Convergence of Relaxation Schemes -- Multidimensional Adaptive Staggered Grids -- On Hyperbolic Relaxation Problems En línea: http://dx.doi.org/10.1007/3-540-27907-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35291 Analysis and Numerics for Conservation Laws [documento electrónico] / SpringerLink (Online service) ; Warnecke, Gerald . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2005 . - X, 542 p : online resource.
ISBN : 978-3-540-27907-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Computer mathematics Numerical Continuum physics Astrophysics Fluid mechanics Computational and Engineering Dynamics Classical Physics Astroparticles Clasificación: 51 Matemáticas Resumen: Whatdoasupernovaexplosioninouterspace,?owaroundanairfoil and knocking in combustion engines have in common? The physical and chemical mechanisms as well as the sizes of these processes are quite di?erent. So are the motivations for studying them scienti?cally. The super- 8 nova is a thermo-nuclear explosion on a scale of 10 cm. Astrophysicists try to understand them in order to get insight into fundamental properties of the universe. In ?ows around airfoils of commercial airliners at the scale of 3 10 cm shock waves occur that in?uence the stability of the wings as well as fuel consumption in ?ight. This requires appropriate design of the shape and structure of airfoils by engineers. Knocking occurs in combustion, a chemical 1 process, and must be avoided since it damages motors. The scale is 10 cm and these processes must be optimized for e?ciency and environmental conside- tions. The common thread is that the underlying ?uid ?ows may at a certain scale of observation be described by basically the same type of hyperbolic s- tems of partial di?erential equations in divergence form, called conservation laws. Astrophysicists, engineers and mathematicians share a common interest in scienti?c progress on theory for these equations and the development of computational methods for solutions of the equations. Due to their wide applicability in modeling of continua, partial di?erential equationsareamajor?eldofresearchinmathematics. Asubstantialportionof mathematical research is related to the analysis and numerical approximation of solutions to such equations. Hyperbolic conservation laws in two or more spacedimensionsstillposeoneofthemainchallengestomodernmathematics Nota de contenido: Wave Processes at Interfaces -- Numerics for Magnetoplasmadynamic Propulsion -- Hexagonal Kinetic Models and the Numerical Simulation of Kinetic Boundary Layers -- High-resolution Simulation of Detonations with Detailed Chemistry -- Numerical Linear Stability Analysis for Compressible Fluids -- Simulation of Solar Radiative Magneto-Convection -- Riemann Problem for the Euler Equation with Non-Convex Equation of State including Phase Transitions -- Radiation Magnetohydrodynamics: Analysis for Model Problems and Efficient 3d-Simulations for the Full System -- Kinetic Schemes for Selected Initial and Boundary Value Problems -- A Local Level-Set Method under Involvement of Topological Aspects -- Hyperbolic Systems and Transport Equations in Mathematical Biology -- Travelling Waves in Systems of Hyperbolic Balance Laws -- The Role of the Jacobian in the Adaptive Discontinuous Galerkin Method for the Compressible Euler Equations -- The Multi-Scale Dust Formation in Substellar Atmospheres -- Meshless Methods for Conservation Laws -- Simulations of Turbulent Thermonuclear Burning in Type Ia Supernovae -- Hyperbolic GLM Scheme for Elliptic Constraints in Computational Electromagnetics and MHD -- Flexible Flame Structure Modelling in a Flame Front Tracking Scheme -- Riemann-Solver Free Schemes -- Relaxation Dynamics, Scaling Limits and Convergence of Relaxation Schemes -- Multidimensional Adaptive Staggered Grids -- On Hyperbolic Relaxation Problems En línea: http://dx.doi.org/10.1007/3-540-27907-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35291 Ejemplares
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Título : Astrostatistics and Data Mining Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Sarro, Luis Manuel ; Eyer, Laurent ; O'Mullane, William ; De Ridder, Joris Editorial: New York, NY : Springer New York Fecha de publicación: 2012 Otro editor: Imprint: Springer Colección: Springer Series in Astrostatistics, ISSN 2199-1030 num. 2 Número de páginas: XII, 272 p Il.: online resource ISBN/ISSN/DL: 978-1-4614-3323-1 Idioma : Inglés (eng) Palabras clave: Physics Astronomy Astrophysics Cosmology Statistics Astronomy, and Statistics, general Astroparticles Statistical Theory Methods Clasificación: 51 Matemáticas Resumen: This volume provides an overview of the field of Astrostatistics understood as the sub-discipline dedicated to the statistical analysis of astronomical data. It presents examples of the application of the various methodologies now available to current open issues in astronomical research. The technical aspects related to the scientific analysis of the upcoming petabyte-scale databases are emphasized given the importance that scalable Knowledge Discovery techniques will have for the full exploitation of these databases. Based on the 2011 Astrostatistics and Data Mining in Large Astronomical Databases conference and school, this volume gathers examples of the work by leading authors in the areas of Astrophysics and Statistics, including a significant contribution from the various teams that prepared for the processing and analysis of the Gaia data Nota de contenido: ??? 'Science with Gaia: how will we deal with a complex billion-source catalogue and data archive?' by Anthony Brown (Leiden University,Netherlads) -- 'Recent Advances in cosmological Bayesian model comparison' by Roberto Trotta (University College London, UK) -- 'The Art of Data Science' by Matthew Graham (Center for Advanced Computing Research, California Institute of Technology, USA) -- 'Astronomical Surveys: from SDSS to LSST' by Robert Lupton (Princeton University, USA) -- 'Exoplanet demography, quasar target selection, and probabilistic redshift estimation: Hierarchical models for density estimation, classification, and regression.' by David Hogg (New York University, USA) -- 'Learning to disentangle Exoplanet signals from correlated noise' by Suzanne Aigrain (Oxford University, UK) -- Astroinformatics and data mining: how to cope with the data tsunami' by Giuseppe Longo (Federico II University, Italy) -- Advanced statistical techniques for the processing of astronomical data: time series, images, low number statistics for high energy photons, heteroskedastic data, non-detections -- Challenges in the data mining of astronomical databases: the class imbalance in training sets or how to define prior robust preprocessing for supervised/unsupervised classification robust inference with heterogeneous datasets, how to combine observations, models, priors, etc in a training/test set error propagation -- The challenge of petabyte size databases: scalability, parallel computing, accuracy -- Geometric data organization, sky indexing for efficient data retrieval, intelligent access to petabyte size databases -- Knowledge Discovery in astronomical archives: outlier detection, new object types, parametric inference, model fitting and model selection, etc -- Combining the classical domain knowledge approach with machine learning techniques -- Global approaches for global datasets. The Galaxy zoo and the Universe zoo -- The Virtual Observatories, Data Mining and Astrostatistics: software, standards, protocols. En línea: http://dx.doi.org/10.1007/978-1-4614-3323-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32797 Astrostatistics and Data Mining [documento electrónico] / SpringerLink (Online service) ; Sarro, Luis Manuel ; Eyer, Laurent ; O'Mullane, William ; De Ridder, Joris . - New York, NY : Springer New York : Imprint: Springer, 2012 . - XII, 272 p : online resource. - (Springer Series in Astrostatistics, ISSN 2199-1030; 2) .
ISBN : 978-1-4614-3323-1
Idioma : Inglés (eng)
Palabras clave: Physics Astronomy Astrophysics Cosmology Statistics Astronomy, and Statistics, general Astroparticles Statistical Theory Methods Clasificación: 51 Matemáticas Resumen: This volume provides an overview of the field of Astrostatistics understood as the sub-discipline dedicated to the statistical analysis of astronomical data. It presents examples of the application of the various methodologies now available to current open issues in astronomical research. The technical aspects related to the scientific analysis of the upcoming petabyte-scale databases are emphasized given the importance that scalable Knowledge Discovery techniques will have for the full exploitation of these databases. Based on the 2011 Astrostatistics and Data Mining in Large Astronomical Databases conference and school, this volume gathers examples of the work by leading authors in the areas of Astrophysics and Statistics, including a significant contribution from the various teams that prepared for the processing and analysis of the Gaia data Nota de contenido: ??? 'Science with Gaia: how will we deal with a complex billion-source catalogue and data archive?' by Anthony Brown (Leiden University,Netherlads) -- 'Recent Advances in cosmological Bayesian model comparison' by Roberto Trotta (University College London, UK) -- 'The Art of Data Science' by Matthew Graham (Center for Advanced Computing Research, California Institute of Technology, USA) -- 'Astronomical Surveys: from SDSS to LSST' by Robert Lupton (Princeton University, USA) -- 'Exoplanet demography, quasar target selection, and probabilistic redshift estimation: Hierarchical models for density estimation, classification, and regression.' by David Hogg (New York University, USA) -- 'Learning to disentangle Exoplanet signals from correlated noise' by Suzanne Aigrain (Oxford University, UK) -- Astroinformatics and data mining: how to cope with the data tsunami' by Giuseppe Longo (Federico II University, Italy) -- Advanced statistical techniques for the processing of astronomical data: time series, images, low number statistics for high energy photons, heteroskedastic data, non-detections -- Challenges in the data mining of astronomical databases: the class imbalance in training sets or how to define prior robust preprocessing for supervised/unsupervised classification robust inference with heterogeneous datasets, how to combine observations, models, priors, etc in a training/test set error propagation -- The challenge of petabyte size databases: scalability, parallel computing, accuracy -- Geometric data organization, sky indexing for efficient data retrieval, intelligent access to petabyte size databases -- Knowledge Discovery in astronomical archives: outlier detection, new object types, parametric inference, model fitting and model selection, etc -- Combining the classical domain knowledge approach with machine learning techniques -- Global approaches for global datasets. The Galaxy zoo and the Universe zoo -- The Virtual Observatories, Data Mining and Astrostatistics: software, standards, protocols. En línea: http://dx.doi.org/10.1007/978-1-4614-3323-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32797 Ejemplares
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Título : Computational Methods in Transport : Granlibakken 2004 Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Graziani, Frank Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2006 Colección: Lecture Notes in Computational Science and Engineering, ISSN 1439-7358 num. 48 Número de páginas: XVII, 539 p. 196 illus., 83 illus. in color Il.: online resource ISBN/ISSN/DL: 978-3-540-28125-2 Idioma : Inglés (eng) Palabras clave: Mathematics Computer mathematics Physics Astrophysics Computational Science and Engineering Theoretical, Mathematical Astroparticles Clasificación: 51 Matemáticas Resumen: Thereexistawiderangeofapplicationswhereasigni?cantfractionofthe- mentum and energy present in a physical problem is carried by the transport of particles. Depending on the speci?capplication, the particles involved may be photons, neutrons, neutrinos, or charged particles. Regardless of which phenomena is being described, at the heart of each application is the fact that a Boltzmann like transport equation has to be solved. The complexity, and hence expense, involved in solving the transport problem can be understood by realizing that the general solution to the 3D Boltzmann transport equation is in fact really seven dimensional: 3 spatial coordinates, 2 angles, 1 time, and 1 for speed or energy. Low-order appro- mations to the transport equation are frequently used due in part to physical justi?cation but many in cases, simply because a solution to the full tra- port problem is too computationally expensive. An example is the di?usion equation, which e?ectively drops the two angles in phase space by assuming that a linear representation in angle is adequate. Another approximation is the grey approximation, which drops the energy variable by averaging over it. If the grey approximation is applied to the di?usion equation, the expense of solving what amounts to the simplest possible description of transport is roughly equal to the cost of implicit computational ?uid dynamics. It is clear therefore, that for those application areas needing some form of transport, fast, accurate and robust transport algorithms can lead to an increase in overall code performance and a decrease in time to solution Nota de contenido: Astrophysics -- Radiation Hydrodynamics in Astrophysics -- Radiative Transfer in Astrophysical Applications -- Neutrino Transport in Core Collapse Supernovae -- Discrete-Ordinates Methods for Radiative Transfer in the Non-Relativistic Stellar Regime -- Atmospheric Science, Oceanography, and Plant Canopies -- Effective Propagation Kernels in Structured Media with Broad Spatial Correlations, Illustration with Large-Scale Transport of Solar Photons Through Cloudy Atmospheres -- Mathematical Simulation of the Radiative Transfer in Statistically Inhomogeneous Clouds -- Transport Theory for Optical Oceanography -- Perturbation Technique in 3D Cloud Optics: Theory and Results -- Vegetation Canopy Reflectance Modeling with Turbid Medium Radiative Transfer -- Rayspread: A Virtual Laboratory for Rapid BRF Simulations Over 3-D Plant Canopies -- High Energy Density Physics -- Use of the Space Adaptive Algorithm to Solve 2D Problems of Photon Transport and Interaction with Medium -- Accurate and Efficient Radiation Transport in Optically Thick Media – by Means of the Symbolic Implicit Monte Carlo Method in the Difference Formulation -- An Evaluation of the Difference Formulation for Photon Transport in a Two Level System -- Non-LTE Radiation Transport in High Radiation Plasmas -- Finite-Difference Methods Implemented in SATURN Complex to Solve Multidimensional Time-Dependent Transport Problems -- Implicit Solution of Non-Equilibrium Radiation Diffusion Including Reactive Heating Source in Material Energy Equation -- Mathematics and Computer Science -- Transport Approximations in Partially Diffusive Media -- High Order Finite Volume Nonlinear Schemes for the Boltzmann Transport Equation -- Obtaining Identical Results on Varying Numbers of Processors in Domain Decomposed Particle Monte Carlo Simulations -- KM-Method of Iteration Convergence Acceleration for Solving a 2D Time-Dependent Multiple-Group Transport Equation and its Modifications -- A Regularized Boltzmann Scattering Operator for Highly Forward Peaked Scattering -- Implicit Riemann Solvers for the Pn Equations -- The Solution of the Time–Dependent SN Equations on Parallel Architectures -- Different Algorithms of 2D Transport Equation Parallelization on Random Non-Orthogonal Grids -- Neutron Transport -- Parallel Deterministic Neutron Transport with AMR -- An Overview of Neutron Transport Problems and Simulation Techniques En línea: http://dx.doi.org/10.1007/3-540-28125-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34912 Computational Methods in Transport : Granlibakken 2004 [documento electrónico] / SpringerLink (Online service) ; Graziani, Frank . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2006 . - XVII, 539 p. 196 illus., 83 illus. in color : online resource. - (Lecture Notes in Computational Science and Engineering, ISSN 1439-7358; 48) .
ISBN : 978-3-540-28125-2
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer mathematics Physics Astrophysics Computational Science and Engineering Theoretical, Mathematical Astroparticles Clasificación: 51 Matemáticas Resumen: Thereexistawiderangeofapplicationswhereasigni?cantfractionofthe- mentum and energy present in a physical problem is carried by the transport of particles. Depending on the speci?capplication, the particles involved may be photons, neutrons, neutrinos, or charged particles. Regardless of which phenomena is being described, at the heart of each application is the fact that a Boltzmann like transport equation has to be solved. The complexity, and hence expense, involved in solving the transport problem can be understood by realizing that the general solution to the 3D Boltzmann transport equation is in fact really seven dimensional: 3 spatial coordinates, 2 angles, 1 time, and 1 for speed or energy. Low-order appro- mations to the transport equation are frequently used due in part to physical justi?cation but many in cases, simply because a solution to the full tra- port problem is too computationally expensive. An example is the di?usion equation, which e?ectively drops the two angles in phase space by assuming that a linear representation in angle is adequate. Another approximation is the grey approximation, which drops the energy variable by averaging over it. If the grey approximation is applied to the di?usion equation, the expense of solving what amounts to the simplest possible description of transport is roughly equal to the cost of implicit computational ?uid dynamics. It is clear therefore, that for those application areas needing some form of transport, fast, accurate and robust transport algorithms can lead to an increase in overall code performance and a decrease in time to solution Nota de contenido: Astrophysics -- Radiation Hydrodynamics in Astrophysics -- Radiative Transfer in Astrophysical Applications -- Neutrino Transport in Core Collapse Supernovae -- Discrete-Ordinates Methods for Radiative Transfer in the Non-Relativistic Stellar Regime -- Atmospheric Science, Oceanography, and Plant Canopies -- Effective Propagation Kernels in Structured Media with Broad Spatial Correlations, Illustration with Large-Scale Transport of Solar Photons Through Cloudy Atmospheres -- Mathematical Simulation of the Radiative Transfer in Statistically Inhomogeneous Clouds -- Transport Theory for Optical Oceanography -- Perturbation Technique in 3D Cloud Optics: Theory and Results -- Vegetation Canopy Reflectance Modeling with Turbid Medium Radiative Transfer -- Rayspread: A Virtual Laboratory for Rapid BRF Simulations Over 3-D Plant Canopies -- High Energy Density Physics -- Use of the Space Adaptive Algorithm to Solve 2D Problems of Photon Transport and Interaction with Medium -- Accurate and Efficient Radiation Transport in Optically Thick Media – by Means of the Symbolic Implicit Monte Carlo Method in the Difference Formulation -- An Evaluation of the Difference Formulation for Photon Transport in a Two Level System -- Non-LTE Radiation Transport in High Radiation Plasmas -- Finite-Difference Methods Implemented in SATURN Complex to Solve Multidimensional Time-Dependent Transport Problems -- Implicit Solution of Non-Equilibrium Radiation Diffusion Including Reactive Heating Source in Material Energy Equation -- Mathematics and Computer Science -- Transport Approximations in Partially Diffusive Media -- High Order Finite Volume Nonlinear Schemes for the Boltzmann Transport Equation -- Obtaining Identical Results on Varying Numbers of Processors in Domain Decomposed Particle Monte Carlo Simulations -- KM-Method of Iteration Convergence Acceleration for Solving a 2D Time-Dependent Multiple-Group Transport Equation and its Modifications -- A Regularized Boltzmann Scattering Operator for Highly Forward Peaked Scattering -- Implicit Riemann Solvers for the Pn Equations -- The Solution of the Time–Dependent SN Equations on Parallel Architectures -- Different Algorithms of 2D Transport Equation Parallelization on Random Non-Orthogonal Grids -- Neutron Transport -- Parallel Deterministic Neutron Transport with AMR -- An Overview of Neutron Transport Problems and Simulation Techniques En línea: http://dx.doi.org/10.1007/3-540-28125-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34912 Ejemplares
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Título : Computational Methods in Transport: Verification and Validation Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Graziani, Frank Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2008 Colección: Lecture Notes in Computational Science and Engineering, ISSN 1439-7358 num. 62 Número de páginas: X, 332 p. 77 illus., 42 illus. in color Il.: online resource ISBN/ISSN/DL: 978-3-540-77362-7 Idioma : Inglés (eng) Palabras clave: Physics Computers Computer mathematics Astrophysics Applied Engineering Physics, general Theory of Computation Computational Science and Theoretical, Mathematical Astroparticles Appl.Mathematics/Computational Methods Clasificación: 51 Matemáticas Resumen: The focus of this book deals with a cross cutting issue affecting all particle transport algorithms and applications; verification and validation (V&V). In other words, are the equations being solved correctly and are the correct equations being solved? Verification and validation assures a scientist, engineer or mathematician that a simulation code is a mirror of reality and not just an expensive computer game. In this book, we will learn what the astrophysicist, atmospheric scientist, mathematician or nuclear engineer do to assess the accuracy of their code. What convergence studies, what error analysis, what problems do each field use to benchmark and ascertain the accuracy of their transport simulations. Is there a need for new benchmark problems? Are there experiments that can be used to help validate the simulation results? If not, are there new experiments that could address these issues? These are all questions raised in this proceedings of the Second Computational Methods in Transport Workshop Nota de contenido: Verification (Mostly) for High Energy Density Radiation Transport: Five Case Studies -- A General Strategy for Physics-Based Model Validation Illustrated with Earthquake Phenomenology, Atmospheric Radiative Transfer, and Computational Fluid Dynamics -- Spectral Solvers to Non-Conservative Transport for Non-Linear Interactive Systems of Boltzmann Type -- The Art of Analytical Benchmarking -- Implicit Monte Carlo Radiation Transport Simulations of Four Test Problems -- The Prompt Spectrum of a Radiating Sphere: Benchmark Solutions for Diffusion and Transport -- Some Verification Problems with Possible Transport Applications -- Canopy Reflectance Model Benchmarking: RAMI and the ROMC -- Uncertainty and Sensitivity Analysis for Models of Complex Systems -- A Brief Overview of the State-of-the-Practice and Current Challenges of Solution Verification -- Expert Panel Opinion and Global Sensitivity Analysis for Composite Indicators -- A Practical Global Sensitivity Analysis Methodology for Multi-Physics Applications En línea: http://dx.doi.org/10.1007/978-3-540-77362-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34368 Computational Methods in Transport: Verification and Validation [documento electrónico] / SpringerLink (Online service) ; Graziani, Frank . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2008 . - X, 332 p. 77 illus., 42 illus. in color : online resource. - (Lecture Notes in Computational Science and Engineering, ISSN 1439-7358; 62) .
ISBN : 978-3-540-77362-7
Idioma : Inglés (eng)
Palabras clave: Physics Computers Computer mathematics Astrophysics Applied Engineering Physics, general Theory of Computation Computational Science and Theoretical, Mathematical Astroparticles Appl.Mathematics/Computational Methods Clasificación: 51 Matemáticas Resumen: The focus of this book deals with a cross cutting issue affecting all particle transport algorithms and applications; verification and validation (V&V). In other words, are the equations being solved correctly and are the correct equations being solved? Verification and validation assures a scientist, engineer or mathematician that a simulation code is a mirror of reality and not just an expensive computer game. In this book, we will learn what the astrophysicist, atmospheric scientist, mathematician or nuclear engineer do to assess the accuracy of their code. What convergence studies, what error analysis, what problems do each field use to benchmark and ascertain the accuracy of their transport simulations. Is there a need for new benchmark problems? Are there experiments that can be used to help validate the simulation results? If not, are there new experiments that could address these issues? These are all questions raised in this proceedings of the Second Computational Methods in Transport Workshop Nota de contenido: Verification (Mostly) for High Energy Density Radiation Transport: Five Case Studies -- A General Strategy for Physics-Based Model Validation Illustrated with Earthquake Phenomenology, Atmospheric Radiative Transfer, and Computational Fluid Dynamics -- Spectral Solvers to Non-Conservative Transport for Non-Linear Interactive Systems of Boltzmann Type -- The Art of Analytical Benchmarking -- Implicit Monte Carlo Radiation Transport Simulations of Four Test Problems -- The Prompt Spectrum of a Radiating Sphere: Benchmark Solutions for Diffusion and Transport -- Some Verification Problems with Possible Transport Applications -- Canopy Reflectance Model Benchmarking: RAMI and the ROMC -- Uncertainty and Sensitivity Analysis for Models of Complex Systems -- A Brief Overview of the State-of-the-Practice and Current Challenges of Solution Verification -- Expert Panel Opinion and Global Sensitivity Analysis for Composite Indicators -- A Practical Global Sensitivity Analysis Methodology for Multi-Physics Applications En línea: http://dx.doi.org/10.1007/978-3-540-77362-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34368 Ejemplares
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Título : Henri Poincaré : Impatient Genius Tipo de documento: documento electrónico Autores: Verhulst, Ferdinand ; SpringerLink (Online service) Editorial: Boston, MA : Springer US Fecha de publicación: 2012 Otro editor: Imprint: Springer Número de páginas: XII, 260 p Il.: online resource ISBN/ISSN/DL: 978-1-4614-2407-9 Idioma : Inglés (eng) Palabras clave: Mathematics History Astrophysics Engineering of Mathematical Sciences Mathematics, general and Astroparticles Engineering, Clasificación: 51 Matemáticas Resumen: This book describes the life and work of Henri Poincaré, detailing most of his unique achievements in mathematics and physics. It is divided into two parts—the first on Poincaré’s life, and the second on his contributions to the mathematical sciences. Apart from biographical details, attention is given to Poincaré’s results on automorphic functions; differential equations and dynamical systems; celestial mechanics; mathematical physics, in particular the theory of the electron and relativity; and topology (analysis situs). A chapter on philosophy explains Poincaré’s conventionalism in mathematics and his view of conventionalism in physics. The book shows how Poincaré reached his fundamentally new results in many different fields, how he thought about problems, and how one should read his work. Simultaneously, it is made clear how analysis and geometry are intertwined in Poincaré’s thinking and work. In dynamical systems, this becomes clear in his description of invariant manifolds, his association of differential equation flow with mappings, and his fixed-point theory. There is no comparable book on Poincaré presenting such a relatively complete vision of his life and the working of his very original mind. Scientists and engineers as well as general readers interested in the history of science will find this book of interest. Reviews of this book:"The title of this biography is particularly well chosen : Henri Poincaré was a true genius, and he was impatient. It gives a fair picture of both the man and the scientist, completed by particularly well chosen illustrations. Jean Mawhin, Université Catholique de Louvain, Belgium "Ferdinand Verhulst has written a true scientific biography, introducing Poincaré the man, his cultural milieu, and his mathematics. This book shows why, a century after his death, Poincaré's ideas still shape a substantial part of the mathematical sciences." Philip J Holmes, Princeton University, USA Nota de contenido: The early years -- Academic education, 1873-1879 -- Impressive results in Vesoul and Caen -- Career in Paris -- The prize competition of Oscar II -- Philosophy and essays.- At the end, what kind of a man?- Automorphic functions -- Differential equations and dynamical systems.- Analysis Situs -- Mathematical Physics -- Poincaré -- Historical data and biographical details -- References -- Index.- En línea: http://dx.doi.org/10.1007/978-1-4614-2407-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32792 Henri Poincaré : Impatient Genius [documento electrónico] / Verhulst, Ferdinand ; SpringerLink (Online service) . - Boston, MA : Springer US : Imprint: Springer, 2012 . - XII, 260 p : online resource.
ISBN : 978-1-4614-2407-9
Idioma : Inglés (eng)
Palabras clave: Mathematics History Astrophysics Engineering of Mathematical Sciences Mathematics, general and Astroparticles Engineering, Clasificación: 51 Matemáticas Resumen: This book describes the life and work of Henri Poincaré, detailing most of his unique achievements in mathematics and physics. It is divided into two parts—the first on Poincaré’s life, and the second on his contributions to the mathematical sciences. Apart from biographical details, attention is given to Poincaré’s results on automorphic functions; differential equations and dynamical systems; celestial mechanics; mathematical physics, in particular the theory of the electron and relativity; and topology (analysis situs). A chapter on philosophy explains Poincaré’s conventionalism in mathematics and his view of conventionalism in physics. The book shows how Poincaré reached his fundamentally new results in many different fields, how he thought about problems, and how one should read his work. Simultaneously, it is made clear how analysis and geometry are intertwined in Poincaré’s thinking and work. In dynamical systems, this becomes clear in his description of invariant manifolds, his association of differential equation flow with mappings, and his fixed-point theory. There is no comparable book on Poincaré presenting such a relatively complete vision of his life and the working of his very original mind. Scientists and engineers as well as general readers interested in the history of science will find this book of interest. Reviews of this book:"The title of this biography is particularly well chosen : Henri Poincaré was a true genius, and he was impatient. It gives a fair picture of both the man and the scientist, completed by particularly well chosen illustrations. Jean Mawhin, Université Catholique de Louvain, Belgium "Ferdinand Verhulst has written a true scientific biography, introducing Poincaré the man, his cultural milieu, and his mathematics. This book shows why, a century after his death, Poincaré's ideas still shape a substantial part of the mathematical sciences." Philip J Holmes, Princeton University, USA Nota de contenido: The early years -- Academic education, 1873-1879 -- Impressive results in Vesoul and Caen -- Career in Paris -- The prize competition of Oscar II -- Philosophy and essays.- At the end, what kind of a man?- Automorphic functions -- Differential equations and dynamical systems.- Analysis Situs -- Mathematical Physics -- Poincaré -- Historical data and biographical details -- References -- Index.- En línea: http://dx.doi.org/10.1007/978-1-4614-2407-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32792 Ejemplares
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