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Título : Numerical Methods for Fluid Dynamics : With Applications to Geophysics Tipo de documento: documento electrónico Autores: Dale R. Durran ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2010 Colección: Texts in Applied Mathematics, ISSN 0939-2475 num. 32 Número de páginas: XVI, 516 p Il.: online resource ISBN/ISSN/DL: 978-1-4419-6412-0 Idioma : Inglés (eng) Palabras clave: Mathematics Geophysics Numerical analysis Mechanical engineering Civil Analysis Geophysics/Geodesy Engineering Clasificación: 51 Matemáticas Resumen: This book is a major revision of Numerical Methods for Wave Equations in Geophysical Fluid Dynamics; the new title of the second edition conveys its broader scope. The second edition is designed to serve graduate students and researchers studying geophysical fluids, while also providing a non-discipline-specific introduction to numerical methods for the solution of time-dependent differential equations. The methods considered are those at the foundation of real-world atmospheric or ocean models, with the focus being on the essential mathematical properties of each method. The fundamental character of each scheme is examined in prototypical fluid-dynamical problems like tracer transport, chemically reacting flow, shallow-water waves, and waves in an internally stratified fluid. The book includes exercises and is well illustrated with figures linking theoretical analyses to results from actual computations. Changes from the first edition include new chapters, discussions and updates throughout. Dale Durran is Professor and Chair of Atmospheric Sciences and Adjunct Professor of Applied Mathematics at the University of Washington. Reviews from the First Edition: “This book will no doubt become a standard within the atmospheric science community, but its comfortable applied mathematical style will also appeal to many interested in computing advective flows and waves. It is a contemporary and worthy addition to the still-sparse list of quality graduate-level references on the numerical solution of PDEs." SIAM Review, 2000, 42, 755-756 (by David Muraki) “This book presents an extensive overview of past and current numerical methods used in the context of solving wave systems … It is directed primarily at flows that do not develop shocks and focuses on standard fluid problems including tracer transport, the shallow-water equations and the Euler equations … the book is well organized and written and fills a long-standing void for collected material on numerical methods useful for studying geophysical flows." Bulletin of the American Meteorological Society, 2000, 81, 1080-1081 (by Robert Wilhelmson) Nota de contenido: Ordinary Differential Equations -- Finite-Difference Approximations for One-Dimensional Transport -- Beyond One-Dimensional Transport -- Conservation Laws and Finite-Volume Methods -- Series-Expansion Methods -- Semi-Lagrangian Methods -- Physically Insignificant Fast Waves -- Nonreflecting Boundary Conditions -- Numerical Miscellany En línea: http://dx.doi.org/10.1007/978-1-4419-6412-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33632 Numerical Methods for Fluid Dynamics : With Applications to Geophysics [documento electrónico] / Dale R. Durran ; SpringerLink (Online service) . - New York, NY : Springer New York, 2010 . - XVI, 516 p : online resource. - (Texts in Applied Mathematics, ISSN 0939-2475; 32) .
ISBN : 978-1-4419-6412-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Geophysics Numerical analysis Mechanical engineering Civil Analysis Geophysics/Geodesy Engineering Clasificación: 51 Matemáticas Resumen: This book is a major revision of Numerical Methods for Wave Equations in Geophysical Fluid Dynamics; the new title of the second edition conveys its broader scope. The second edition is designed to serve graduate students and researchers studying geophysical fluids, while also providing a non-discipline-specific introduction to numerical methods for the solution of time-dependent differential equations. The methods considered are those at the foundation of real-world atmospheric or ocean models, with the focus being on the essential mathematical properties of each method. The fundamental character of each scheme is examined in prototypical fluid-dynamical problems like tracer transport, chemically reacting flow, shallow-water waves, and waves in an internally stratified fluid. The book includes exercises and is well illustrated with figures linking theoretical analyses to results from actual computations. Changes from the first edition include new chapters, discussions and updates throughout. Dale Durran is Professor and Chair of Atmospheric Sciences and Adjunct Professor of Applied Mathematics at the University of Washington. Reviews from the First Edition: “This book will no doubt become a standard within the atmospheric science community, but its comfortable applied mathematical style will also appeal to many interested in computing advective flows and waves. It is a contemporary and worthy addition to the still-sparse list of quality graduate-level references on the numerical solution of PDEs." SIAM Review, 2000, 42, 755-756 (by David Muraki) “This book presents an extensive overview of past and current numerical methods used in the context of solving wave systems … It is directed primarily at flows that do not develop shocks and focuses on standard fluid problems including tracer transport, the shallow-water equations and the Euler equations … the book is well organized and written and fills a long-standing void for collected material on numerical methods useful for studying geophysical flows." Bulletin of the American Meteorological Society, 2000, 81, 1080-1081 (by Robert Wilhelmson) Nota de contenido: Ordinary Differential Equations -- Finite-Difference Approximations for One-Dimensional Transport -- Beyond One-Dimensional Transport -- Conservation Laws and Finite-Volume Methods -- Series-Expansion Methods -- Semi-Lagrangian Methods -- Physically Insignificant Fast Waves -- Nonreflecting Boundary Conditions -- Numerical Miscellany En línea: http://dx.doi.org/10.1007/978-1-4419-6412-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33632 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Evolution Inclusions and Variation Inequalities for Earth Data Processing III / Mikhail Z. Zgurovsky (2012)
Título : Evolution Inclusions and Variation Inequalities for Earth Data Processing III : Long-Time Behavior of Evolution Inclusions Solutions in Earth Data Analysis Tipo de documento: documento electrónico Autores: Mikhail Z. Zgurovsky ; SpringerLink (Online service) ; Pavlo O. Kasyanov ; Oleksiy V. Kapustyan ; José Valero ; Nina V. Zadoianchuk Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2012 Otro editor: Imprint: Springer Colección: Advances in Mechanics and Mathematics, ISSN 1571-8689 num. 27 Número de páginas: XLII, 330 p Il.: online resource ISBN/ISSN/DL: 978-3-642-28512-7 Idioma : Inglés (eng) Palabras clave: Mathematics Physical chemistry Geophysics Applied mathematics Engineering Complexity, Computational Fluid mechanics Applications of and Environmental Physics Geophysics/Geodesy Dynamics Chemistry Complexity Clasificación: 51 Matemáticas Resumen: In this sequel to two earlier volumes, the authors now focus on the long-time behavior of evolution inclusions, based on the theory of extremal solutions to differential-operator problems. This approach is used to solve problems in climate research, geophysics, aerohydrodynamics, chemical kinetics or fluid dynamics. As in the previous volumes, the authors present a toolbox of mathematical equations. The book is based on seminars and lecture courses on multi-valued and non-linear analysis and their geophysical application Nota de contenido: Introduction: Long-time Behaviour of Evolution Inclusions Solutions in Earth Data Analysis -- Part I Long-time Behaviour of Autonomous Differential-Operator Systems Solutions for Earth Data Processing: Abstract Theory of Multivalued Semiflows -- Auxiliary Properties of Evolution Inclusions Solutions for Earth Data Processing -- Attractors for Lattice Dynamical Systems -- Part II Long-time Behaviour of Nonautonomous Differential-Operator Systems Solutions for Earth Data Processing: On Global Attractors of Multivalued Semiprocesses and Nonautonomous Evolution Inclusions -- On the Kneser Property for the Complex Ginzburg-Landau Equation and the Lotka-Volterra System with Diffusion -- Pullback Attractors for a Class of Extremal Solutions of the 3D Navier-Stokes System -- Properties of Resolving Operator for Nonautonomous Evolution Inclusions: Pullback Attractors -- Functional Spaces. The Embedding and Approximation Theorems En línea: http://dx.doi.org/10.1007/978-3-642-28512-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32973 Evolution Inclusions and Variation Inequalities for Earth Data Processing III : Long-Time Behavior of Evolution Inclusions Solutions in Earth Data Analysis [documento electrónico] / Mikhail Z. Zgurovsky ; SpringerLink (Online service) ; Pavlo O. Kasyanov ; Oleksiy V. Kapustyan ; José Valero ; Nina V. Zadoianchuk . - Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012 . - XLII, 330 p : online resource. - (Advances in Mechanics and Mathematics, ISSN 1571-8689; 27) .
ISBN : 978-3-642-28512-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Physical chemistry Geophysics Applied mathematics Engineering Complexity, Computational Fluid mechanics Applications of and Environmental Physics Geophysics/Geodesy Dynamics Chemistry Complexity Clasificación: 51 Matemáticas Resumen: In this sequel to two earlier volumes, the authors now focus on the long-time behavior of evolution inclusions, based on the theory of extremal solutions to differential-operator problems. This approach is used to solve problems in climate research, geophysics, aerohydrodynamics, chemical kinetics or fluid dynamics. As in the previous volumes, the authors present a toolbox of mathematical equations. The book is based on seminars and lecture courses on multi-valued and non-linear analysis and their geophysical application Nota de contenido: Introduction: Long-time Behaviour of Evolution Inclusions Solutions in Earth Data Analysis -- Part I Long-time Behaviour of Autonomous Differential-Operator Systems Solutions for Earth Data Processing: Abstract Theory of Multivalued Semiflows -- Auxiliary Properties of Evolution Inclusions Solutions for Earth Data Processing -- Attractors for Lattice Dynamical Systems -- Part II Long-time Behaviour of Nonautonomous Differential-Operator Systems Solutions for Earth Data Processing: On Global Attractors of Multivalued Semiprocesses and Nonautonomous Evolution Inclusions -- On the Kneser Property for the Complex Ginzburg-Landau Equation and the Lotka-Volterra System with Diffusion -- Pullback Attractors for a Class of Extremal Solutions of the 3D Navier-Stokes System -- Properties of Resolving Operator for Nonautonomous Evolution Inclusions: Pullback Attractors -- Functional Spaces. The Embedding and Approximation Theorems En línea: http://dx.doi.org/10.1007/978-3-642-28512-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32973 Ejemplares
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Título : Adaptive Atmospheric Modeling : Key Techniques in Grid Generation, Data Structures, and Numerical Operations with Applications Tipo de documento: documento electrónico Autores: Jörn Behrens ; SpringerLink (Online service) Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2006 Colección: Lecture Notes in Computational Science and Engineering, ISSN 1439-7358 num. 54 Número de páginas: XIX, 214 p. 74 illus Il.: online resource ISBN/ISSN/DL: 978-3-540-33383-8 Idioma : Inglés (eng) Palabras clave: Mathematics Geophysics Atmospheric sciences Computer mathematics Computational Science and Engineering Sciences Geophysics/Geodesy Clasificación: 51 Matemáticas Nota de contenido: Principles of Adaptive Atmospheric Modeling -- Grid Generation -- Data Structures for Computational Efficiency -- Issues in Parallelization of Irregularly Structured Problems -- Numerical Treatment of Differential Operators on Adaptive Grids -- Discretization of Conservation Laws -- Example Applications -- Conclusions -- Some Basic Mathematical Tools -- Metrics for Parallelizing Irregularly Structured Problems -- Rotating Shallow Water Equations in Spherical Geometries En línea: http://dx.doi.org/10.1007/3-540-33383-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34959 Adaptive Atmospheric Modeling : Key Techniques in Grid Generation, Data Structures, and Numerical Operations with Applications [documento electrónico] / Jörn Behrens ; SpringerLink (Online service) . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2006 . - XIX, 214 p. 74 illus : online resource. - (Lecture Notes in Computational Science and Engineering, ISSN 1439-7358; 54) .
ISBN : 978-3-540-33383-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Geophysics Atmospheric sciences Computer mathematics Computational Science and Engineering Sciences Geophysics/Geodesy Clasificación: 51 Matemáticas Nota de contenido: Principles of Adaptive Atmospheric Modeling -- Grid Generation -- Data Structures for Computational Efficiency -- Issues in Parallelization of Irregularly Structured Problems -- Numerical Treatment of Differential Operators on Adaptive Grids -- Discretization of Conservation Laws -- Example Applications -- Conclusions -- Some Basic Mathematical Tools -- Metrics for Parallelizing Irregularly Structured Problems -- Rotating Shallow Water Equations in Spherical Geometries En línea: http://dx.doi.org/10.1007/3-540-33383-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34959 Ejemplares
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Título : Computational Challenges in the Geosciences Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Clint Dawson ; Margot Gerritsen Editorial: New York, NY : Springer New York Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: The IMA Volumes in Mathematics and its Applications, ISSN 0940-6573 num. 156 Número de páginas: IX, 167 p. 57 illus Il.: online resource ISBN/ISSN/DL: 978-1-4614-7434-0 Idioma : Inglés (eng) Palabras clave: Mathematics Meteorology Geophysics Mathematical physics Applications in the Physical Sciences Geophysics/Geodesy Clasificación: 51 Matemáticas Resumen: Computational Challenges in the Geosciences addresses a cross-section of grand challenge problems arising in geoscience applications, including groundwater and petroleum reservoir simulation, hurricane storm surge, oceanography, volcanic eruptions and landslides, and tsunamis. Each of these applications gives rise to complex physical and mathematical models spanning multiple space-time scales, which can only be studied through computer simulation. The data required by the models is often highly uncertain, and the numerical solution of the models requires sophisticated algorithms which are mathematically accurate, computationally efficient and yet must preserve basic physical properties of the models. This volume summarizes current methodologies and future research challenges in this broad and important field. Nota de contenido: Physical and Computational Issues in the Numerical Modeling of Ocean Circulation, R.L. Higdon -- Modeling Hazardous, Free-Surface Geophysical Flows with Depth-Averaged Hyperbolic Systems and Adaptive Numerical Methods, D.L. George -- Real-Time Forecasting and Visualization of Hurricane Waves and Storm Surge using SWAN+ADCIRC and FigureGen, J.C. Dietrich, C.N. Dawson, J.M. Proft, M.T. Howard, G. Wells, J.G. Fleming, R.A. Luettich, Jr., J.J. Westerink, Z. Cobell, M. Vitse, H. Lander, B.O. Blanton, C.M. Szpilka, J.H. Atkinson -- Methane in Surbsurface: Mathematical Modeling and Computational Challenges, M. Peszynska -- Fast Algorithms for Bayesian Inversion, S. Ambikasaran, A. K. Saibaba, E.F. Darve and P.K. Kitanidis -- Modeling Spatial and Structural Uncertainty in the Subsurface , M. Gerritsen and J. Caers En línea: http://dx.doi.org/10.1007/978-1-4614-7434-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32356 Computational Challenges in the Geosciences [documento electrónico] / SpringerLink (Online service) ; Clint Dawson ; Margot Gerritsen . - New York, NY : Springer New York : Imprint: Springer, 2013 . - IX, 167 p. 57 illus : online resource. - (The IMA Volumes in Mathematics and its Applications, ISSN 0940-6573; 156) .
ISBN : 978-1-4614-7434-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Meteorology Geophysics Mathematical physics Applications in the Physical Sciences Geophysics/Geodesy Clasificación: 51 Matemáticas Resumen: Computational Challenges in the Geosciences addresses a cross-section of grand challenge problems arising in geoscience applications, including groundwater and petroleum reservoir simulation, hurricane storm surge, oceanography, volcanic eruptions and landslides, and tsunamis. Each of these applications gives rise to complex physical and mathematical models spanning multiple space-time scales, which can only be studied through computer simulation. The data required by the models is often highly uncertain, and the numerical solution of the models requires sophisticated algorithms which are mathematically accurate, computationally efficient and yet must preserve basic physical properties of the models. This volume summarizes current methodologies and future research challenges in this broad and important field. Nota de contenido: Physical and Computational Issues in the Numerical Modeling of Ocean Circulation, R.L. Higdon -- Modeling Hazardous, Free-Surface Geophysical Flows with Depth-Averaged Hyperbolic Systems and Adaptive Numerical Methods, D.L. George -- Real-Time Forecasting and Visualization of Hurricane Waves and Storm Surge using SWAN+ADCIRC and FigureGen, J.C. Dietrich, C.N. Dawson, J.M. Proft, M.T. Howard, G. Wells, J.G. Fleming, R.A. Luettich, Jr., J.J. Westerink, Z. Cobell, M. Vitse, H. Lander, B.O. Blanton, C.M. Szpilka, J.H. Atkinson -- Methane in Surbsurface: Mathematical Modeling and Computational Challenges, M. Peszynska -- Fast Algorithms for Bayesian Inversion, S. Ambikasaran, A. K. Saibaba, E.F. Darve and P.K. Kitanidis -- Modeling Spatial and Structural Uncertainty in the Subsurface , M. Gerritsen and J. Caers En línea: http://dx.doi.org/10.1007/978-1-4614-7434-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32356 Ejemplares
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Título : Special Functions of Mathematical (Geo-)Physics Tipo de documento: documento electrónico Autores: Willi Freeden ; SpringerLink (Online service) ; Martin Gutting Editorial: Basel : Springer Basel Fecha de publicación: 2013 Otro editor: Imprint: Birkhäuser Colección: Applied and Numerical Harmonic Analysis Número de páginas: XV, 501 p. 37 illus., 18 illus. in color Il.: online resource ISBN/ISSN/DL: 978-3-0348-0563-6 Idioma : Inglés (eng) Palabras clave: Mathematics Geophysics Atmospheric sciences Harmonic analysis Partial differential equations Special functions Mathematical physics Functions Physics Geophysics/Geodesy Differential Equations Abstract Analysis Sciences Clasificación: 51 Matemáticas Resumen: Special functions enable us to formulate a scientific problem by reduction such that a new, more concrete problem can be attacked within a well-structured framework, usually in the context of differential equations. A good understanding of special functions provides the capacity to recognize the causality between the abstractness of the mathematical concept and both the impact on and cross-sectional importance to the scientific reality. The special functions to be discussed in this monograph vary greatly, depending on the measurement parameters examined (gravitation, electric and magnetic fields, deformation, climate observables, fluid flow, etc.) and on the respective field characteristic (potential field, diffusion field, wave field). The differential equation under consideration determines the type of special functions that are needed in the desired reduction process. Each chapter closes with exercises that reflect significant topics, mostly in computational applications. As a result, readers are not only directly confronted with the specific contents of each chapter, but also with additional knowledge on mathematical fields of research, where special functions are essential to application. All in all, the book is an equally valuable resource for education in geomathematics and the study of applied and harmonic analysis. Students who wish to continue with further studies should consult the literature given as supplements for each topic covered in the exercises Nota de contenido: 1 Introduction: Geomathematical Motivation -- Part I: Auxiliary Functions -- 2 The Gamma Function -- 3 Orthogonal Polynomials -- Part II: Spherically Oriented Functions.- 4 Scalar Spherical Harmonics in R^3 -- 5 Vectorial Spherical Harmonics in R^3 -- 6 Spherical Harmonics in R^q -- 7 Classical Bessel Functions -- 8 Bessel Functions in R^q -- Part III: Periodically Oriented Functions -- 9 Lattice Functions in R -- 10 Lattice Functions in R^q -- 11 Concluding Remarks -- References -- Index En línea: http://dx.doi.org/10.1007/978-3-0348-0563-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32432 Special Functions of Mathematical (Geo-)Physics [documento electrónico] / Willi Freeden ; SpringerLink (Online service) ; Martin Gutting . - Basel : Springer Basel : Imprint: Birkhäuser, 2013 . - XV, 501 p. 37 illus., 18 illus. in color : online resource. - (Applied and Numerical Harmonic Analysis) .
ISBN : 978-3-0348-0563-6
Idioma : Inglés (eng)
Palabras clave: Mathematics Geophysics Atmospheric sciences Harmonic analysis Partial differential equations Special functions Mathematical physics Functions Physics Geophysics/Geodesy Differential Equations Abstract Analysis Sciences Clasificación: 51 Matemáticas Resumen: Special functions enable us to formulate a scientific problem by reduction such that a new, more concrete problem can be attacked within a well-structured framework, usually in the context of differential equations. A good understanding of special functions provides the capacity to recognize the causality between the abstractness of the mathematical concept and both the impact on and cross-sectional importance to the scientific reality. The special functions to be discussed in this monograph vary greatly, depending on the measurement parameters examined (gravitation, electric and magnetic fields, deformation, climate observables, fluid flow, etc.) and on the respective field characteristic (potential field, diffusion field, wave field). The differential equation under consideration determines the type of special functions that are needed in the desired reduction process. Each chapter closes with exercises that reflect significant topics, mostly in computational applications. As a result, readers are not only directly confronted with the specific contents of each chapter, but also with additional knowledge on mathematical fields of research, where special functions are essential to application. All in all, the book is an equally valuable resource for education in geomathematics and the study of applied and harmonic analysis. Students who wish to continue with further studies should consult the literature given as supplements for each topic covered in the exercises Nota de contenido: 1 Introduction: Geomathematical Motivation -- Part I: Auxiliary Functions -- 2 The Gamma Function -- 3 Orthogonal Polynomials -- Part II: Spherically Oriented Functions.- 4 Scalar Spherical Harmonics in R^3 -- 5 Vectorial Spherical Harmonics in R^3 -- 6 Spherical Harmonics in R^q -- 7 Classical Bessel Functions -- 8 Bessel Functions in R^q -- Part III: Periodically Oriented Functions -- 9 Lattice Functions in R -- 10 Lattice Functions in R^q -- 11 Concluding Remarks -- References -- Index En línea: http://dx.doi.org/10.1007/978-3-0348-0563-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32432 Ejemplares
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