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Título : Computational Turbulent Incompressible Flow : Applied Mathematics: Body and Soul 4 Tipo de documento: documento electrónico Autores: Johan Hoffman ; SpringerLink (Online service) ; Claes Johnson Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2007 Número de páginas: XIX, 401 p Il.: online resource ISBN/ISSN/DL: 978-3-540-46533-1 Idioma : Inglés (eng) Palabras clave: Mathematics Computer mathematics Physics Continuum physics Applied Engineering Fluid mechanics Computational and Numerical Analysis Dynamics Classical Science Mathematical Methods in Appl.Mathematics/Computational of Clasificación: 51 Matemáticas Resumen: This is Volume 4 of the book series of the Body & Soul mathematics education reform program, and presents a unified new approach to computational simulation of turbulent flow starting from the general basis of calculus and linear algebra of Vol 1-3. The book puts the Body & Soul computational finite element methodology in the form of General Galerkin (G2), up against the challenge of computing turbulent solutions of the inviscid Euler equations and the Navier-Stokes equations with small viscosity. The book shows that direct application of G2 without any turbulence or wall modeling, allows reliable computation on a PC of mean value quantities of turbulent flow such as drag and lift. The power of G2 is demonstrated by resolving several classical scientific paradoxes of fluid flow and by uncovering secrets of flying, sailing, racing and ball sports. The book presents new aspects on both mathematics and computation of turbulent flow, and challenges established approaches. The book is directed to a wide audience of computational mathematicians fluid dynamicists and scientists. The G2 solver is available as part the free software project FEniCS at www.fenics.org. The book has a dedicated dynamic web page, including movies from a wide variety of simulations, at www.bodysoulmath.org. The book is focussed on incompressible flow, but opens to compressible flow continued in Vol 5 on thermodynamics. The authors are experts on computational mathematics and technology Nota de contenido: Overview -- Main Objective -- Mysteries and Secrets -- Turbulent Flow and History of Aviation -- The Euler Equations -- The Incompressible Euler and Navier–Stokes Equations -- Triumph and Failure of Mathematics -- Laminar and Turbulent Flow -- Computational Turbulence -- A First Study of Stability -- d'Alembert's Mystery and Bernoulli's Law -- Prandtl's Resolution of d'Alembert's Mystery -- New Resolution of d'Alembert's Mystery -- Mathematics of Turbulence -- Turbulence and Chaos -- A $1 Million Prize Problem -- Weak Uniqueness by Computation -- Existence of ?-Weak Solutions by G2 -- Stability Aspects of Turbulence in Model Problems -- A Convection-Diffusion Model Problem -- G2 for Euler -- Summary of Mathematical Aspects -- Secrets -- Secrets of Ball Sports -- Secrets of Flight -- Secrets of Sailing -- Secrets of Racing -- Computational Method -- Reynolds Stresses In and Out -- Smagorinsky Viscosity In and Out -- Friction Boundary Condition as Wall Model -- G2 for Navier-Stokes Equations -- A Discrete Solver -- G2 as Adaptive DNS/LES -- Implementation of G2 with FEniCS -- Moving Meshes and ALE Methods -- Flow Fundamentals -- Bluff Body Flow -- Boundary Layers -- Separation -- Transition to Turbulence -- Loschmidt's Mystery -- Thermodynamics -- Joule's 1845 Experiment -- Compressible Euler in 1d -- Burgers' Equation -- Compressible Euler in 3d -- EG2 for Compressible Flow -- Philosophy of EG2 -- Does God Really Play Dice? En línea: http://dx.doi.org/10.1007/978-3-540-46533-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34638 Computational Turbulent Incompressible Flow : Applied Mathematics: Body and Soul 4 [documento electrónico] / Johan Hoffman ; SpringerLink (Online service) ; Claes Johnson . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2007 . - XIX, 401 p : online resource.
ISBN : 978-3-540-46533-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer mathematics Physics Continuum physics Applied Engineering Fluid mechanics Computational and Numerical Analysis Dynamics Classical Science Mathematical Methods in Appl.Mathematics/Computational of Clasificación: 51 Matemáticas Resumen: This is Volume 4 of the book series of the Body & Soul mathematics education reform program, and presents a unified new approach to computational simulation of turbulent flow starting from the general basis of calculus and linear algebra of Vol 1-3. The book puts the Body & Soul computational finite element methodology in the form of General Galerkin (G2), up against the challenge of computing turbulent solutions of the inviscid Euler equations and the Navier-Stokes equations with small viscosity. The book shows that direct application of G2 without any turbulence or wall modeling, allows reliable computation on a PC of mean value quantities of turbulent flow such as drag and lift. The power of G2 is demonstrated by resolving several classical scientific paradoxes of fluid flow and by uncovering secrets of flying, sailing, racing and ball sports. The book presents new aspects on both mathematics and computation of turbulent flow, and challenges established approaches. The book is directed to a wide audience of computational mathematicians fluid dynamicists and scientists. The G2 solver is available as part the free software project FEniCS at www.fenics.org. The book has a dedicated dynamic web page, including movies from a wide variety of simulations, at www.bodysoulmath.org. The book is focussed on incompressible flow, but opens to compressible flow continued in Vol 5 on thermodynamics. The authors are experts on computational mathematics and technology Nota de contenido: Overview -- Main Objective -- Mysteries and Secrets -- Turbulent Flow and History of Aviation -- The Euler Equations -- The Incompressible Euler and Navier–Stokes Equations -- Triumph and Failure of Mathematics -- Laminar and Turbulent Flow -- Computational Turbulence -- A First Study of Stability -- d'Alembert's Mystery and Bernoulli's Law -- Prandtl's Resolution of d'Alembert's Mystery -- New Resolution of d'Alembert's Mystery -- Mathematics of Turbulence -- Turbulence and Chaos -- A $1 Million Prize Problem -- Weak Uniqueness by Computation -- Existence of ?-Weak Solutions by G2 -- Stability Aspects of Turbulence in Model Problems -- A Convection-Diffusion Model Problem -- G2 for Euler -- Summary of Mathematical Aspects -- Secrets -- Secrets of Ball Sports -- Secrets of Flight -- Secrets of Sailing -- Secrets of Racing -- Computational Method -- Reynolds Stresses In and Out -- Smagorinsky Viscosity In and Out -- Friction Boundary Condition as Wall Model -- G2 for Navier-Stokes Equations -- A Discrete Solver -- G2 as Adaptive DNS/LES -- Implementation of G2 with FEniCS -- Moving Meshes and ALE Methods -- Flow Fundamentals -- Bluff Body Flow -- Boundary Layers -- Separation -- Transition to Turbulence -- Loschmidt's Mystery -- Thermodynamics -- Joule's 1845 Experiment -- Compressible Euler in 1d -- Burgers' Equation -- Compressible Euler in 3d -- EG2 for Compressible Flow -- Philosophy of EG2 -- Does God Really Play Dice? En línea: http://dx.doi.org/10.1007/978-3-540-46533-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34638 Ejemplares
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Título : Computational Probability : Algorithms and Applications in the Mathematical Sciences Tipo de documento: documento electrónico Autores: John H. Drew ; SpringerLink (Online service) ; Diane L. Evans ; Andrew G. Glen ; Lawrence M. Leemis Editorial: Boston, MA : Springer US Fecha de publicación: 2008 Colección: In Operations Research & Management Science, ISSN 0884-8289 num. 117 Número de páginas: X, 222 p Il.: online resource ISBN/ISSN/DL: 978-0-387-74676-0 Idioma : Inglés (eng) Palabras clave: Mathematics Operations research Decision making Applied mathematics Engineering Computer Probabilities Statistics Applications of Operation Research/Decision Theory Probability and Stochastic Processes Appl.Mathematics/Computational Methods Computational Numerical Analysis for Engineering, Physics, Science, Chemistry Earth Sciences Clasificación: 51 Matemáticas Resumen: Computational probability encompasses data structures and algorithms that have emerged over the past decade that allow researchers and students to focus on a new class of stochastic problems. COMPUTATIONAL PROBABILITY is the first book that examines and presents these computational methods in a systematic manner. The techniques described here address problems that require exact probability calculations, many of which have been considered intractable in the past. The first chapter introduces computational probability analysis, followed by a chapter on the Maple computer algebra system. The third chapter begins the description of APPL, the probability modeling language created by the authors. The book ends with three applications-based chapters that emphasize applications in survival analysis and stochastic simulation. The algorithmic material associated with continuous random variables is presented separately from the material for discrete random variables. Four sample algorithms, which are implemented in APPL, are presented in detail: transformations of continuous random variables, products of independent continuous random variables, sums of independent discrete random variables, and order statistics drawn from discrete populations. The APPL computational modeling language gives the field of probability a strong software resource to use for non-trivial problems and is available at no cost from the authors. APPL is currently being used in applications as wide-ranging as electric power revenue forecasting, analyzing cortical spike trains, and studying the supersonic expansion of hydrogen molecules. Requests for the software have come from fields as diverse as market research, pathology, neurophysiology, statistics, engineering, psychology, physics, medicine, and chemistry Nota de contenido: Computational Probability -- Maple for APPL -- Algorithms for Continuous Random Variables -- Data Structures and Simple Algorithms -- Transformations of Random Variables -- Products of Random Variables -- Algorithms for Discrete Random Variables -- Data Structures and Simple Algorithms -- Sums of Independent Random Variables -- Order Statistics -- Applications -- Reliability and Survival Analysis -- Stochastic Simulation -- Other Applications En línea: http://dx.doi.org/10.1007/978-0-387-74676-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34196 Computational Probability : Algorithms and Applications in the Mathematical Sciences [documento electrónico] / John H. Drew ; SpringerLink (Online service) ; Diane L. Evans ; Andrew G. Glen ; Lawrence M. Leemis . - Boston, MA : Springer US, 2008 . - X, 222 p : online resource. - (In Operations Research & Management Science, ISSN 0884-8289; 117) .
ISBN : 978-0-387-74676-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Operations research Decision making Applied mathematics Engineering Computer Probabilities Statistics Applications of Operation Research/Decision Theory Probability and Stochastic Processes Appl.Mathematics/Computational Methods Computational Numerical Analysis for Engineering, Physics, Science, Chemistry Earth Sciences Clasificación: 51 Matemáticas Resumen: Computational probability encompasses data structures and algorithms that have emerged over the past decade that allow researchers and students to focus on a new class of stochastic problems. COMPUTATIONAL PROBABILITY is the first book that examines and presents these computational methods in a systematic manner. The techniques described here address problems that require exact probability calculations, many of which have been considered intractable in the past. The first chapter introduces computational probability analysis, followed by a chapter on the Maple computer algebra system. The third chapter begins the description of APPL, the probability modeling language created by the authors. The book ends with three applications-based chapters that emphasize applications in survival analysis and stochastic simulation. The algorithmic material associated with continuous random variables is presented separately from the material for discrete random variables. Four sample algorithms, which are implemented in APPL, are presented in detail: transformations of continuous random variables, products of independent continuous random variables, sums of independent discrete random variables, and order statistics drawn from discrete populations. The APPL computational modeling language gives the field of probability a strong software resource to use for non-trivial problems and is available at no cost from the authors. APPL is currently being used in applications as wide-ranging as electric power revenue forecasting, analyzing cortical spike trains, and studying the supersonic expansion of hydrogen molecules. Requests for the software have come from fields as diverse as market research, pathology, neurophysiology, statistics, engineering, psychology, physics, medicine, and chemistry Nota de contenido: Computational Probability -- Maple for APPL -- Algorithms for Continuous Random Variables -- Data Structures and Simple Algorithms -- Transformations of Random Variables -- Products of Random Variables -- Algorithms for Discrete Random Variables -- Data Structures and Simple Algorithms -- Sums of Independent Random Variables -- Order Statistics -- Applications -- Reliability and Survival Analysis -- Stochastic Simulation -- Other Applications En línea: http://dx.doi.org/10.1007/978-0-387-74676-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34196 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar BAIL 2008 - Boundary and Interior Layers / SpringerLink (Online service) ; Alan Hegarty ; Natalia Kopteva ; Eugene O'Riordan ; Martin Stynes (2009)
Título : BAIL 2008 - Boundary and Interior Layers : Proceedings of the International Conference on Boundary and Interior Layers - Computational and Asymptotic Methods, Limerick, July 2008 Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Alan Hegarty ; Natalia Kopteva ; Eugene O'Riordan ; Martin Stynes Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2009 Colección: Lecture Notes in Computational Science and Engineering, ISSN 1439-7358 num. 69 Número de páginas: XVI, 312 p. 65 illus., 15 illus. in color Il.: online resource ISBN/ISSN/DL: 978-3-642-00605-0 Idioma : Inglés (eng) Palabras clave: Mathematics Computer mathematics Numerical analysis Mathematical models Applied Engineering Modeling and Industrial Computational Analysis Appl.Mathematics/Computational Methods of Clasificación: 51 Matemáticas Resumen: These Proceedings contain a selection of the lectures given at the conference BAIL 2008: Boundary and Interior Layers – Computational and Asymptotic Methods, which was held from 28th July to 1st August 2008 at the University of Limerick, Ireland. The ?rst three BAIL conferences (1980, 1982, 1984) were organised by Professor John Miller in Trinity College Dublin, Ireland. The next seven were held in Novosibirsk (1986), Shanghai (1988), Colorado (1992), Beijing (1994), Perth (2002),Toulouse(2004),and Got ¨ tingen(2006).With BAIL 2008the series returned to Ireland. BAIL 2010 is planned for Zaragoza. The BAIL conferences strive to bring together mathematicians and engineers whose research involves layer phenomena,as these two groups often pursue largely independent paths. BAIL 2008, at which both communities were well represented, succeeded in this regard. The lectures given were evenly divided between app- cations and theory, exposing all conference participants to a broad spectrum of research into problems exhibiting solutions with layers. The Proceedings give a good overview of current research into the theory, app- cation and solution (by both numerical and asymptotic methods) of problems that involve boundaryand interior layers. In addition to invited and contributed lectures, the conference included four mini-symposia devoted to stabilized ?nite element methods, asymptotic scaling of wall-bounded ?ows, systems of singularly p- turbed differential equations, and problems with industrial applications (supported by MACSI, the Mathematics Applications Consortium for Science and Industry). These titles exemplify the mix of interests among the participants Nota de contenido: Invited paper -- High-Reynolds-Number Asymptotics of Turbulent Boundary Layers -- A Deterministic Multiscale Approach for Simulating Dilute Polymeric Fluids -- Temperature Factor Effect on Separated Flow Features in Supersonic Gas Flow -- Recent Results on Local Projection Stabilization for Convection-Diffusion and Flow Problems -- Contributed papers -- Numerical Simulation of the Towing Tank Problem Using High Order Schemes -- Nonlinear Singular Kelvin Modes in a Columnar Vortex -- High Order Schemes for Reaction-Diffusion Singularly Perturbed Systems -- A Patched Mesh Method for Singularly Perturbed Eeaction-Diffusion Equations -- Singularly Perturbed Reaction-Diffusion Problem with a Boundary Turning Point -- Examination of the Performance of Robust Numerical Methods for Singularly Perturbed Quasilinear Problems with Interior Layers -- Glycolysis as a Source of "External osmoles":The Vasa Recta Transient Model -- A System of Singularly Perturbed Semilinear Equations -- On Finite Element Methods for 3D Time-Dependent Convection-Diffusion-Reaction Equations with Small Diffusion -- On the Application of Local Projection Methods to Convection#x2013;Diffusion#x2013;Reaction Problems -- A Locally Adapting Parameter Design for the Divergence Stabilization of FEM Discretizations of the Navier-Stokes Equations -- Distributed and Boundary Control of Singularly Perturbed Advection-Diffusion-Reaction Problems -- Antisymmetric Aspects of a Perturbed Channel Flow -- Turbulence Receptivity of Longitudinal Vortex-Dominated Flows -- A Thermally Induced Singularity in a Wake -- A Schwarz Technique for a System of Reaction Diffusion Equations with Differing Parameters -- On Numerical Simulation of an Aeroelastic Problem Nearby the Flutter Boundary -- A Parameter-Uniform Finite Difference Method for a Singularly Perturbed Initial Value Problem: a Special Case -- Boundary Shock Problems and Singularly Perturbed Riccati Equations -- Electrochemical Pickling -- Energy Norm A-Posteriori Error Estimates for a Discontinuous Galerkin Scheme Applied to Elliptic Problems with an Interface En línea: http://dx.doi.org/10.1007/978-3-642-00605-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34062 BAIL 2008 - Boundary and Interior Layers : Proceedings of the International Conference on Boundary and Interior Layers - Computational and Asymptotic Methods, Limerick, July 2008 [documento electrónico] / SpringerLink (Online service) ; Alan Hegarty ; Natalia Kopteva ; Eugene O'Riordan ; Martin Stynes . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2009 . - XVI, 312 p. 65 illus., 15 illus. in color : online resource. - (Lecture Notes in Computational Science and Engineering, ISSN 1439-7358; 69) .
ISBN : 978-3-642-00605-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer mathematics Numerical analysis Mathematical models Applied Engineering Modeling and Industrial Computational Analysis Appl.Mathematics/Computational Methods of Clasificación: 51 Matemáticas Resumen: These Proceedings contain a selection of the lectures given at the conference BAIL 2008: Boundary and Interior Layers – Computational and Asymptotic Methods, which was held from 28th July to 1st August 2008 at the University of Limerick, Ireland. The ?rst three BAIL conferences (1980, 1982, 1984) were organised by Professor John Miller in Trinity College Dublin, Ireland. The next seven were held in Novosibirsk (1986), Shanghai (1988), Colorado (1992), Beijing (1994), Perth (2002),Toulouse(2004),and Got ¨ tingen(2006).With BAIL 2008the series returned to Ireland. BAIL 2010 is planned for Zaragoza. The BAIL conferences strive to bring together mathematicians and engineers whose research involves layer phenomena,as these two groups often pursue largely independent paths. BAIL 2008, at which both communities were well represented, succeeded in this regard. The lectures given were evenly divided between app- cations and theory, exposing all conference participants to a broad spectrum of research into problems exhibiting solutions with layers. The Proceedings give a good overview of current research into the theory, app- cation and solution (by both numerical and asymptotic methods) of problems that involve boundaryand interior layers. In addition to invited and contributed lectures, the conference included four mini-symposia devoted to stabilized ?nite element methods, asymptotic scaling of wall-bounded ?ows, systems of singularly p- turbed differential equations, and problems with industrial applications (supported by MACSI, the Mathematics Applications Consortium for Science and Industry). These titles exemplify the mix of interests among the participants Nota de contenido: Invited paper -- High-Reynolds-Number Asymptotics of Turbulent Boundary Layers -- A Deterministic Multiscale Approach for Simulating Dilute Polymeric Fluids -- Temperature Factor Effect on Separated Flow Features in Supersonic Gas Flow -- Recent Results on Local Projection Stabilization for Convection-Diffusion and Flow Problems -- Contributed papers -- Numerical Simulation of the Towing Tank Problem Using High Order Schemes -- Nonlinear Singular Kelvin Modes in a Columnar Vortex -- High Order Schemes for Reaction-Diffusion Singularly Perturbed Systems -- A Patched Mesh Method for Singularly Perturbed Eeaction-Diffusion Equations -- Singularly Perturbed Reaction-Diffusion Problem with a Boundary Turning Point -- Examination of the Performance of Robust Numerical Methods for Singularly Perturbed Quasilinear Problems with Interior Layers -- Glycolysis as a Source of "External osmoles":The Vasa Recta Transient Model -- A System of Singularly Perturbed Semilinear Equations -- On Finite Element Methods for 3D Time-Dependent Convection-Diffusion-Reaction Equations with Small Diffusion -- On the Application of Local Projection Methods to Convection#x2013;Diffusion#x2013;Reaction Problems -- A Locally Adapting Parameter Design for the Divergence Stabilization of FEM Discretizations of the Navier-Stokes Equations -- Distributed and Boundary Control of Singularly Perturbed Advection-Diffusion-Reaction Problems -- Antisymmetric Aspects of a Perturbed Channel Flow -- Turbulence Receptivity of Longitudinal Vortex-Dominated Flows -- A Thermally Induced Singularity in a Wake -- A Schwarz Technique for a System of Reaction Diffusion Equations with Differing Parameters -- On Numerical Simulation of an Aeroelastic Problem Nearby the Flutter Boundary -- A Parameter-Uniform Finite Difference Method for a Singularly Perturbed Initial Value Problem: a Special Case -- Boundary Shock Problems and Singularly Perturbed Riccati Equations -- Electrochemical Pickling -- Energy Norm A-Posteriori Error Estimates for a Discontinuous Galerkin Scheme Applied to Elliptic Problems with an Interface En línea: http://dx.doi.org/10.1007/978-3-642-00605-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34062 Ejemplares
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Título : Computational Ergodic Theory Tipo de documento: documento electrónico Autores: Geon Ho Choe ; SpringerLink (Online service) Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2005 Colección: Algorithms and Computation in Mathematics, ISSN 1431-1550 num. 13 Número de páginas: XX, 453 p. 250 illus Il.: online resource ISBN/ISSN/DL: 978-3-540-27305-9 Idioma : Inglés (eng) Palabras clave: Mathematics Dynamics Ergodic theory Physics Applied mathematics Engineering Dynamical Systems and Theory Theoretical, Mathematical Computational Appl.Mathematics/Computational Methods of Clasificación: 51 Matemáticas Resumen: Ergodic theory is hard to study because it is based on measure theory, which is a technically difficult subject to master for ordinary students, especially for physics majors. Many of the examples are introduced from a different perspective than in other books and theoretical ideas can be gradually absorbed while doing computer experiments. Theoretically less prepared students can appreciate the deep theorems by doing various simulations. The computer experiments are simple but they have close ties with theoretical implications. Even the researchers in the field can benefit by checking their conjectures, which might have been regarded as unrealistic to be programmed easily, against numerical output using some of the ideas in the book. One last remark: The last chapter explains the relation between entropy and data compression, which belongs to information theory and not to ergodic theory. It will help students to gain an understanding of the digital technology that has shaped the modern information society Nota de contenido: Prerequisites -- Invariant Measures -- The Birkhoff Ergodic Theorem -- The Central Limit Theorem -- More on Ergodicity -- Homeomorphisms of the Circle -- Mod 2 Uniform Distribution -- Entropy -- The Lyapunov Exponent: One-Dimensional Case -- The Lyapunov Exponent: Multidimensional Case -- Stable and Unstable Manifolds -- Recurrence and Entropy -- Recurrence and Dimension -- Data Compression En línea: http://dx.doi.org/10.1007/b138894 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35275 Computational Ergodic Theory [documento electrónico] / Geon Ho Choe ; SpringerLink (Online service) . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2005 . - XX, 453 p. 250 illus : online resource. - (Algorithms and Computation in Mathematics, ISSN 1431-1550; 13) .
ISBN : 978-3-540-27305-9
Idioma : Inglés (eng)
Palabras clave: Mathematics Dynamics Ergodic theory Physics Applied mathematics Engineering Dynamical Systems and Theory Theoretical, Mathematical Computational Appl.Mathematics/Computational Methods of Clasificación: 51 Matemáticas Resumen: Ergodic theory is hard to study because it is based on measure theory, which is a technically difficult subject to master for ordinary students, especially for physics majors. Many of the examples are introduced from a different perspective than in other books and theoretical ideas can be gradually absorbed while doing computer experiments. Theoretically less prepared students can appreciate the deep theorems by doing various simulations. The computer experiments are simple but they have close ties with theoretical implications. Even the researchers in the field can benefit by checking their conjectures, which might have been regarded as unrealistic to be programmed easily, against numerical output using some of the ideas in the book. One last remark: The last chapter explains the relation between entropy and data compression, which belongs to information theory and not to ergodic theory. It will help students to gain an understanding of the digital technology that has shaped the modern information society Nota de contenido: Prerequisites -- Invariant Measures -- The Birkhoff Ergodic Theorem -- The Central Limit Theorem -- More on Ergodicity -- Homeomorphisms of the Circle -- Mod 2 Uniform Distribution -- Entropy -- The Lyapunov Exponent: One-Dimensional Case -- The Lyapunov Exponent: Multidimensional Case -- Stable and Unstable Manifolds -- Recurrence and Entropy -- Recurrence and Dimension -- Data Compression En línea: http://dx.doi.org/10.1007/b138894 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35275 Ejemplares
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Título : Integral Methods in Science and Engineering : Computational and Analytic Aspects Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Christian Constanda ; Paul J. Harris Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2011 Número de páginas: XXVI, 422 p. 98 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-8238-5 Idioma : Inglés (eng) Palabras clave: Mathematics Integral equations Differential Partial differential Computer mathematics Applied Engineering Continuum mechanics Equations Appl.Mathematics/Computational Methods of Ordinary Mechanics and Materials Computational Numerical Analysis Clasificación: 51 Matemáticas Resumen: The systematic study of the physical world is largely based on the design of mathematical models using many different types of ordinary differential, partial differential, integral, and integro-differential equations. The solutions of these equations are therefore of great interest to practitioners and to science in general. With a wealth of cutting-edge research in the field, Integral Methods in Science and Engineering: Computational and Analytic Aspects provides a vivid picture of both the development of theoretical integral techniques and their use in specific science and engineering problems. The volume is an outgrowth of talks presented by world-renowned researchers at the Eleventh International Conference on Integral Methods in Science and Engineering held in Brighton, UK, July 12–14, 2010. The array of topics they address is immense, ranging from theoretical advances in boundary integral methods to applications of analytic and numerical quadrature techniques as diverse as integral equations, finite and boundary elements, conservation laws, hybrid approaches, and more. With ample coverage of theory and applications, this book will be a valuable resource for researchers in applied mathematics, physics, and mechanical and electrical engineering, for graduate students in these disciplines, and for various other professionals who use integration as an essential technique in their work Nota de contenido: Preface -- Collocation Method for Cauchy Integral Equations in L^2 -- On a New Definition of the Reynolds Number from the Interplay of Macroscopic and Microscopic Phenomenology -- A Self-Consistent Monte Carlo Validation Procedure for Hadron Cancer Therapy Simulation -- A General Analytical Solution of the Advection–Diffusion Equation for Fickian Closure -- A Novel Method for Simulating Spectral Nuclear Reactor Criticality by Spatially Dependent Volume Size Control -- Adaptive Particle Filter for Stable Distribution -- On the Analytical Solution of the Multi-Group Neutron Kinetic Diffusion Equations in One-Dimensional Cartesian Geometry by the Integral Transformation Technique -- Estimating the Validity of Statistical Energy Analysis Using Dynamic Energy Analysis -- Efficient Iterative Methods for Fast Solution of Integral Operators -- Analysis of Some Localized Boundary–Domain Integral Equations for Transmission Problems with Variable Coefficients -- Analysis of Segregated Boundary–Domain Integral Equations for Variable-Coefficient BVPs in Exterior Domains -- Thermoelastic Plates with Arc-Shaped Cracks -- Almost Periodicity in Semilinear Systems -- Bubble Behavior Near a Two-Fluid Interface -- Spectral Stiff Problems in Domains with Strongly Oscillating Boundary -- Spectra and Pseudospectra of the Convection–Diffusion Operator -- A Necessary and Sufficient Condition for the Existence of Absolute Minimizers for Energy Functionals with Scale Invariance -- Nonlinear Abel-Type Integral Equation Modeling in Creep Crack Propagation -- Some Thoughts on Methods for Evaluating a Class of Highly Oscillatory Integrals -- Numerical Experiments for Mammary Adenocarcinoma Cell Progression -- Limiting Cases of Subdiffusion -- A New Hybrid Method to Predict the Distribution of Vibro-Acoustic Energy in Complex Built-up Structures -- 2-D and 3-D Elastodynamic Contact Problems for Interface Cracks Under Harmonic Loading -- Asymptotic Behavior of Elliptic Quadric Algebraic Equations with Variable Coefficients and Aerodynamical Applications -- Artificial Neural Networks for Estimating Atmospheric Pollutant Sources -- A Theoretical Study of the Stratified Atmospheric Boundary Layer Through Perturbation Techniques -- Integro-Differential Equations for Stress Analysis at the Bridged Zone of an Interface Crack -- Design and Performance of Gas–Liquid Cylindrical Cyclone/Slug Damper System -- On the Quasimodes for compact Operators and Associated Evolution Problems -- Error Estimation by Means of Richardson Extrapolation with the Boundary Element Method in a Dirichlet Problem for the Laplace Equation -- Convergence of a Discretization Scheme Based on the Characteristics Method for a Fluid-Rigid System -- An Efficient Algorithm to Solve the GITT-Transformed 2-D Neutron Diffusion Equation -- Nonlinear Localized Dissipative Structures for Solving Wave Equations over Long Distances -- Semianalytical Approach to the Computation of the Laplace Transform of Source Functions -- Asymptotic Analysis of Singularities for Pseudodifferential Equations in Canonical Non-Smooth Domains -- Optimizing Water Quality in a River Section -- Boundary Integral Equations for Arbitrary Geometry Shells. On the Determination of the Albedo Boundary Conditions by Solving the One-Speed Neutron Transport Equation in Slab-Geometry with the LTSN Method. Numerical Solution of the Electric Field Integral Equation on Polyhedral Surfaces -- A High Frequency Problem of Scattering by Convex Polygons with Impedance Boundary Conditions -- Localized Segregated Boundary–Domain Integral Equation Formulation for Transmission Problems -- Distributional Solutions for Boundary Integral Methods in the Theory of Bending of Thermoelastic Plates. New Spaces: A Semi-linear Case -- Generalized Particle Filter: PDF with Undefined Statistical Moments -- Droplet Heating and Evaporation in the Presence of a Moving Boundary: Numerical Analysis Based on Analytical Solutions -- Solution of a Nonlinear Abel-type Integral Equation Modeling Crack Propagation Under Creep and Fatigue -- Some Thoughts on Methods for Evaluating a Class of Highly Oscillatory Integrals -- Domain Decomposition with Lagrange Multipliers for Hypersingular Integral Equations -- Numerical Integration Methods for Functions with Singularities by Partition Integration -- Multiple Trace Boundary Integral Formulation for Helmholtz Transmission Problems -- Limiting Cases of Subdiffusion.-New Trends in Inverse Scattering Theory -- Transient Mechanistic Model for Slug Damper/ (GLCC)Compact Separator System -- Exact 3-D Galerkin Integrals for Planar Cracks -- Interface Cracks Under Harmonic Loading: Effect of Crack Face Contact Interaction -- Localized Segregated Boundary–Domain Integral Equation Formulation for Mixed Type Boundary Value Problems -- On the Robustness of the GITT Solution for the 2-D Neutron Diffusion Equation in Cartesian Geometry -- Conditioning Numerical Models with Application to Petroleum Reservoir Chracterization -- Computation of the Spectrum for Some Elliptic Operators on Periodic Waveguides with Variable Density -- Numerical Simulation of Short Waves over Long Distances as Nonlinear Solitary Waves -- Pseudodifferential Equations in Domains with Boundary Singularities -- Optimizing Water Quality in a River Section -- Semi-analytical Approach to the Computation of the Laplace Transform of 3-D Source Functions -- Boundary Integral Equations for Shells of Arbitrary Geometry -- Solutions to Model Equations for Cancer Growth En línea: http://dx.doi.org/10.1007/978-0-8176-8238-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33108 Integral Methods in Science and Engineering : Computational and Analytic Aspects [documento electrónico] / SpringerLink (Online service) ; Christian Constanda ; Paul J. Harris . - Boston : Birkhäuser Boston, 2011 . - XXVI, 422 p. 98 illus : online resource.
ISBN : 978-0-8176-8238-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Integral equations Differential Partial differential Computer mathematics Applied Engineering Continuum mechanics Equations Appl.Mathematics/Computational Methods of Ordinary Mechanics and Materials Computational Numerical Analysis Clasificación: 51 Matemáticas Resumen: The systematic study of the physical world is largely based on the design of mathematical models using many different types of ordinary differential, partial differential, integral, and integro-differential equations. The solutions of these equations are therefore of great interest to practitioners and to science in general. With a wealth of cutting-edge research in the field, Integral Methods in Science and Engineering: Computational and Analytic Aspects provides a vivid picture of both the development of theoretical integral techniques and their use in specific science and engineering problems. The volume is an outgrowth of talks presented by world-renowned researchers at the Eleventh International Conference on Integral Methods in Science and Engineering held in Brighton, UK, July 12–14, 2010. The array of topics they address is immense, ranging from theoretical advances in boundary integral methods to applications of analytic and numerical quadrature techniques as diverse as integral equations, finite and boundary elements, conservation laws, hybrid approaches, and more. With ample coverage of theory and applications, this book will be a valuable resource for researchers in applied mathematics, physics, and mechanical and electrical engineering, for graduate students in these disciplines, and for various other professionals who use integration as an essential technique in their work Nota de contenido: Preface -- Collocation Method for Cauchy Integral Equations in L^2 -- On a New Definition of the Reynolds Number from the Interplay of Macroscopic and Microscopic Phenomenology -- A Self-Consistent Monte Carlo Validation Procedure for Hadron Cancer Therapy Simulation -- A General Analytical Solution of the Advection–Diffusion Equation for Fickian Closure -- A Novel Method for Simulating Spectral Nuclear Reactor Criticality by Spatially Dependent Volume Size Control -- Adaptive Particle Filter for Stable Distribution -- On the Analytical Solution of the Multi-Group Neutron Kinetic Diffusion Equations in One-Dimensional Cartesian Geometry by the Integral Transformation Technique -- Estimating the Validity of Statistical Energy Analysis Using Dynamic Energy Analysis -- Efficient Iterative Methods for Fast Solution of Integral Operators -- Analysis of Some Localized Boundary–Domain Integral Equations for Transmission Problems with Variable Coefficients -- Analysis of Segregated Boundary–Domain Integral Equations for Variable-Coefficient BVPs in Exterior Domains -- Thermoelastic Plates with Arc-Shaped Cracks -- Almost Periodicity in Semilinear Systems -- Bubble Behavior Near a Two-Fluid Interface -- Spectral Stiff Problems in Domains with Strongly Oscillating Boundary -- Spectra and Pseudospectra of the Convection–Diffusion Operator -- A Necessary and Sufficient Condition for the Existence of Absolute Minimizers for Energy Functionals with Scale Invariance -- Nonlinear Abel-Type Integral Equation Modeling in Creep Crack Propagation -- Some Thoughts on Methods for Evaluating a Class of Highly Oscillatory Integrals -- Numerical Experiments for Mammary Adenocarcinoma Cell Progression -- Limiting Cases of Subdiffusion -- A New Hybrid Method to Predict the Distribution of Vibro-Acoustic Energy in Complex Built-up Structures -- 2-D and 3-D Elastodynamic Contact Problems for Interface Cracks Under Harmonic Loading -- Asymptotic Behavior of Elliptic Quadric Algebraic Equations with Variable Coefficients and Aerodynamical Applications -- Artificial Neural Networks for Estimating Atmospheric Pollutant Sources -- A Theoretical Study of the Stratified Atmospheric Boundary Layer Through Perturbation Techniques -- Integro-Differential Equations for Stress Analysis at the Bridged Zone of an Interface Crack -- Design and Performance of Gas–Liquid Cylindrical Cyclone/Slug Damper System -- On the Quasimodes for compact Operators and Associated Evolution Problems -- Error Estimation by Means of Richardson Extrapolation with the Boundary Element Method in a Dirichlet Problem for the Laplace Equation -- Convergence of a Discretization Scheme Based on the Characteristics Method for a Fluid-Rigid System -- An Efficient Algorithm to Solve the GITT-Transformed 2-D Neutron Diffusion Equation -- Nonlinear Localized Dissipative Structures for Solving Wave Equations over Long Distances -- Semianalytical Approach to the Computation of the Laplace Transform of Source Functions -- Asymptotic Analysis of Singularities for Pseudodifferential Equations in Canonical Non-Smooth Domains -- Optimizing Water Quality in a River Section -- Boundary Integral Equations for Arbitrary Geometry Shells. On the Determination of the Albedo Boundary Conditions by Solving the One-Speed Neutron Transport Equation in Slab-Geometry with the LTSN Method. Numerical Solution of the Electric Field Integral Equation on Polyhedral Surfaces -- A High Frequency Problem of Scattering by Convex Polygons with Impedance Boundary Conditions -- Localized Segregated Boundary–Domain Integral Equation Formulation for Transmission Problems -- Distributional Solutions for Boundary Integral Methods in the Theory of Bending of Thermoelastic Plates. New Spaces: A Semi-linear Case -- Generalized Particle Filter: PDF with Undefined Statistical Moments -- Droplet Heating and Evaporation in the Presence of a Moving Boundary: Numerical Analysis Based on Analytical Solutions -- Solution of a Nonlinear Abel-type Integral Equation Modeling Crack Propagation Under Creep and Fatigue -- Some Thoughts on Methods for Evaluating a Class of Highly Oscillatory Integrals -- Domain Decomposition with Lagrange Multipliers for Hypersingular Integral Equations -- Numerical Integration Methods for Functions with Singularities by Partition Integration -- Multiple Trace Boundary Integral Formulation for Helmholtz Transmission Problems -- Limiting Cases of Subdiffusion.-New Trends in Inverse Scattering Theory -- Transient Mechanistic Model for Slug Damper/ (GLCC)Compact Separator System -- Exact 3-D Galerkin Integrals for Planar Cracks -- Interface Cracks Under Harmonic Loading: Effect of Crack Face Contact Interaction -- Localized Segregated Boundary–Domain Integral Equation Formulation for Mixed Type Boundary Value Problems -- On the Robustness of the GITT Solution for the 2-D Neutron Diffusion Equation in Cartesian Geometry -- Conditioning Numerical Models with Application to Petroleum Reservoir Chracterization -- Computation of the Spectrum for Some Elliptic Operators on Periodic Waveguides with Variable Density -- Numerical Simulation of Short Waves over Long Distances as Nonlinear Solitary Waves -- Pseudodifferential Equations in Domains with Boundary Singularities -- Optimizing Water Quality in a River Section -- Semi-analytical Approach to the Computation of the Laplace Transform of 3-D Source Functions -- Boundary Integral Equations for Shells of Arbitrary Geometry -- Solutions to Model Equations for Cancer Growth En línea: http://dx.doi.org/10.1007/978-0-8176-8238-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33108 Ejemplares
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