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Autor Luca Formaggia |
Documentos disponibles escritos por este autor (3)
Refinar búsquedaApplicazioni ed esercizi di modellistica numerica per problemi differenziali / Luca Formaggia (2005)
Título : Applicazioni ed esercizi di modellistica numerica per problemi differenziali Tipo de documento: documento electrónico Autores: Luca Formaggia ; SpringerLink (Online service) ; Fausto Saleri ; Alessandro Veneziani Editorial: Milano : Springer Milan Fecha de publicación: 2005 Colección: UNITEXT, ISSN 2038-5714 Número de páginas: VIII, 399 pagg Il.: online resource ISBN/ISSN/DL: 978-88-470-0372-9 Idioma : Italiano (ita) Palabras clave: Mathematics Functional analysis Partial differential equations Numerical Differential Equations Analysis Mathematics, general Clasificación: 51 Matemáticas Resumen: Questo testo contiene una raccolta di esercizi riferiti agli argomenti tipici di un corso di metodi analitici e numerici proposto in un corso di laurea in Ingegneria o in Matematica. A partire da esercizi di analisi funzionale e di teoria dell'approssimazione, il testo sviluppa problemi legati alla risoluzione con metodi numerici di equazioni alle derivate parziali di tipo ellittico, parabolico ed iperbolico, scalari o vettoriali, in una o più dimensioni spaziali. Si affrontano quindi problemi di pura diffusione o di pura convezione, accanto a problemi di diffusione-trasporto e problemi di fluidodinamica comprimibile ed incomprimibile. Particolare enfasi viene data al metodo degli elementi finiti per la discretizzazione in spazio dei problemi considerati, anche se sono presenti esercizi sul metodo delle differenze finite e dei volumi finiti. La presenza di problemi dipendenti dal tempo giustifica l'esistenza di un capitolo di esercizi sui problemi di Cauchy e sulle principali tecniche numeriche per la loro discretizzazione. Ogni paragrafo è preceduto da un breve richiamo delle principali nozioni di teoria necessarie affinché l'allievo possa risolvere gli esercizi proposti. La risoluzione della maggior parte degli esercizi si avvale della libreria MLife, sviluppata dagli autori, in linguaggio MATLAB. Questo consente l'immediata verifica da parte degli studenti delle principali proprietà teoriche introdotte Nota de contenido: Fondamenti degli elementi finiti -- Problemi stazionari -- Il metodo di Galerkin-elementi finiti per problemi di tipo ellittico -- Problemi di diffusione, trasporto e reazione -- Il metodo delle differenze finite -- Problemi tempo-dipendenti -- Equazioni di tipo parabolico -- Equazioni di tipo iperbolico -- Equazioni di Navier-Stokes per fluidi a densità costante En línea: http://dx.doi.org/10.1007/88-470-0372-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35355 Applicazioni ed esercizi di modellistica numerica per problemi differenziali [documento electrónico] / Luca Formaggia ; SpringerLink (Online service) ; Fausto Saleri ; Alessandro Veneziani . - Milano : Springer Milan, 2005 . - VIII, 399 pagg : online resource. - (UNITEXT, ISSN 2038-5714) .
ISBN : 978-88-470-0372-9
Idioma : Italiano (ita)
Palabras clave: Mathematics Functional analysis Partial differential equations Numerical Differential Equations Analysis Mathematics, general Clasificación: 51 Matemáticas Resumen: Questo testo contiene una raccolta di esercizi riferiti agli argomenti tipici di un corso di metodi analitici e numerici proposto in un corso di laurea in Ingegneria o in Matematica. A partire da esercizi di analisi funzionale e di teoria dell'approssimazione, il testo sviluppa problemi legati alla risoluzione con metodi numerici di equazioni alle derivate parziali di tipo ellittico, parabolico ed iperbolico, scalari o vettoriali, in una o più dimensioni spaziali. Si affrontano quindi problemi di pura diffusione o di pura convezione, accanto a problemi di diffusione-trasporto e problemi di fluidodinamica comprimibile ed incomprimibile. Particolare enfasi viene data al metodo degli elementi finiti per la discretizzazione in spazio dei problemi considerati, anche se sono presenti esercizi sul metodo delle differenze finite e dei volumi finiti. La presenza di problemi dipendenti dal tempo giustifica l'esistenza di un capitolo di esercizi sui problemi di Cauchy e sulle principali tecniche numeriche per la loro discretizzazione. Ogni paragrafo è preceduto da un breve richiamo delle principali nozioni di teoria necessarie affinché l'allievo possa risolvere gli esercizi proposti. La risoluzione della maggior parte degli esercizi si avvale della libreria MLife, sviluppata dagli autori, in linguaggio MATLAB. Questo consente l'immediata verifica da parte degli studenti delle principali proprietà teoriche introdotte Nota de contenido: Fondamenti degli elementi finiti -- Problemi stazionari -- Il metodo di Galerkin-elementi finiti per problemi di tipo ellittico -- Problemi di diffusione, trasporto e reazione -- Il metodo delle differenze finite -- Problemi tempo-dipendenti -- Equazioni di tipo parabolico -- Equazioni di tipo iperbolico -- Equazioni di Navier-Stokes per fluidi a densità costante En línea: http://dx.doi.org/10.1007/88-470-0372-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35355 Ejemplares
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Título : Cardiovascular Mathematics : Modeling and simulation of the circulatory system Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Luca Formaggia ; Alfio Quarteroni ; Alessandro Veneziani Editorial: Milano : Springer Milan Fecha de publicación: 2009 Colección: MS&A, ISSN 2037-5255 num. 1 Número de páginas: XIII, 522 p Il.: online resource ISBN/ISSN/DL: 978-88-470-1152-6 Idioma : Inglés (eng) Palabras clave: Mathematics Cardiology Partial differential equations Applied mathematics Engineering Mathematical models Biomathematics Applications of and Computational Biology Physiological, Cellular Medical Topics Modeling Industrial Differential Equations Clasificación: 51 Matemáticas Resumen: Cardiovascular diseases have a major impact in Western countries. Mathematical models and numerical simulations can help the understanding of physiological and pathological processes, complementing the information provided to medical doctors by medical imaging and other non-invasive means, and opening the possibility of a better diagnosis and more in-depth surgical planning.This book offers a mathematically sound and up-to-date foundation to the training of researchers, and serves as a useful reference for the development of mathematical models and numerical simulation codes. It is structured into different chapters, written by recognized experts in the field, and however it features a common thread, with consistency of notation and expressions and systematic cross-referencing. Many fundamental issues are faced, such as: the mathematical representation of vascular geometries extracted from medical images, modelling blood rheology and the complex multilayer structure of the vascular tissue, and its possible pathologies, the mechanical and chemical interaction between blood and vascular walls; the different scales coupling local and systemic dynamics. All of these topics introduce challenging mathematical and numerical problems, demanding for advanced analysis and simulation techniques. This book is addressed to graduate students and researchers in the field of bioengineering, applied mathematics and medicine, wishing to engage themselves in the fascinating task of modeling how the cardiovascular system works Nota de contenido: Physiology and pathology of the cardiovascular system: A physical perspective -- Basic mathematical models and motivations -- The derivation of the equations for fluids and structure -- From image data to computational domains -- Geometry and flow -- Rheological models for blood -- Mathematical models of mass transfer in the vascular walls -- Analysis of coupled models for fluid-structure interaction of internal flows -- Algorithms for fluid-structure interaction problems -- Reduced models of the cardiovascular system -- Multiscale models of the vascular system -- Applications and test cases En línea: http://dx.doi.org/10.1007/978-88-470-1152-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34129 Cardiovascular Mathematics : Modeling and simulation of the circulatory system [documento electrónico] / SpringerLink (Online service) ; Luca Formaggia ; Alfio Quarteroni ; Alessandro Veneziani . - Milano : Springer Milan, 2009 . - XIII, 522 p : online resource. - (MS&A, ISSN 2037-5255; 1) .
ISBN : 978-88-470-1152-6
Idioma : Inglés (eng)
Palabras clave: Mathematics Cardiology Partial differential equations Applied mathematics Engineering Mathematical models Biomathematics Applications of and Computational Biology Physiological, Cellular Medical Topics Modeling Industrial Differential Equations Clasificación: 51 Matemáticas Resumen: Cardiovascular diseases have a major impact in Western countries. Mathematical models and numerical simulations can help the understanding of physiological and pathological processes, complementing the information provided to medical doctors by medical imaging and other non-invasive means, and opening the possibility of a better diagnosis and more in-depth surgical planning.This book offers a mathematically sound and up-to-date foundation to the training of researchers, and serves as a useful reference for the development of mathematical models and numerical simulation codes. It is structured into different chapters, written by recognized experts in the field, and however it features a common thread, with consistency of notation and expressions and systematic cross-referencing. Many fundamental issues are faced, such as: the mathematical representation of vascular geometries extracted from medical images, modelling blood rheology and the complex multilayer structure of the vascular tissue, and its possible pathologies, the mechanical and chemical interaction between blood and vascular walls; the different scales coupling local and systemic dynamics. All of these topics introduce challenging mathematical and numerical problems, demanding for advanced analysis and simulation techniques. This book is addressed to graduate students and researchers in the field of bioengineering, applied mathematics and medicine, wishing to engage themselves in the fascinating task of modeling how the cardiovascular system works Nota de contenido: Physiology and pathology of the cardiovascular system: A physical perspective -- Basic mathematical models and motivations -- The derivation of the equations for fluids and structure -- From image data to computational domains -- Geometry and flow -- Rheological models for blood -- Mathematical models of mass transfer in the vascular walls -- Analysis of coupled models for fluid-structure interaction of internal flows -- Algorithms for fluid-structure interaction problems -- Reduced models of the cardiovascular system -- Multiscale models of the vascular system -- Applications and test cases En línea: http://dx.doi.org/10.1007/978-88-470-1152-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34129 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar
Título : Solving Numerical PDEs: Problems, Applications, Exercises Tipo de documento: documento electrónico Autores: Luca Formaggia ; SpringerLink (Online service) ; Fausto Saleri ; Alessandro Veneziani Editorial: Milano : Springer Milan Fecha de publicación: 2012 Otro editor: Imprint: Springer Colección: UNITEXT, ISSN 2038-5714 Número de páginas: X, 434 p Il.: online resource ISBN/ISSN/DL: 978-88-470-2412-0 Idioma : Inglés (eng) Palabras clave: Mathematics Functional analysis Partial differential equations Numerical Differential Equations Mathematics, general Analysis Clasificación: 51 Matemáticas Resumen: This book aims at introducing students to the numerical approximation of Partial Differential Equations (PDEs). One of the difficulties of this subject is to identify the right trade-off between theoretical concepts and their use in practice. With that collection of examples and exercises we try to address this issue by illustrating "standard" examples which focus on basic concepts of Numerical Analysis, as well as problems derived from practical applications which the student is encouraged to formalize in terms of PDEs, analyze and solve. The latter examples are derived from the experience of the authors in research project developed in collaboration with scientists of different fields (biology, medicine, etc.) and industry. We wanted this book to be useful both to readers more interested in the theoretical aspects, and also to those more concerned with the numerical implementation. To this aim, solutions to the exercises have been subdivided in three parts. The first concerns the mathematical analysis of the problem, the second its numerical approximation and the third part is devoted to implementation aspects and the analysis of the results. The book consists of three parts. The first deals with basic material and results provided as useful reference for the other sections. In particular, we recall the basics of functional analysis and the finite element method. The second part deals with steady elliptic problems, solved with finite elements or finite differences, while in the third part we address time-dependent problems, including linear hyperbolic systems and Navier-Stokes equations. Two appendices discuss some practical implementation issues and three-dimensional applications. Each section contains a brief introduction to the subject to make this book self contained En línea: http://dx.doi.org/10.1007/978-88-470-2412-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33039 Solving Numerical PDEs: Problems, Applications, Exercises [documento electrónico] / Luca Formaggia ; SpringerLink (Online service) ; Fausto Saleri ; Alessandro Veneziani . - Milano : Springer Milan : Imprint: Springer, 2012 . - X, 434 p : online resource. - (UNITEXT, ISSN 2038-5714) .
ISBN : 978-88-470-2412-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Functional analysis Partial differential equations Numerical Differential Equations Mathematics, general Analysis Clasificación: 51 Matemáticas Resumen: This book aims at introducing students to the numerical approximation of Partial Differential Equations (PDEs). One of the difficulties of this subject is to identify the right trade-off between theoretical concepts and their use in practice. With that collection of examples and exercises we try to address this issue by illustrating "standard" examples which focus on basic concepts of Numerical Analysis, as well as problems derived from practical applications which the student is encouraged to formalize in terms of PDEs, analyze and solve. The latter examples are derived from the experience of the authors in research project developed in collaboration with scientists of different fields (biology, medicine, etc.) and industry. We wanted this book to be useful both to readers more interested in the theoretical aspects, and also to those more concerned with the numerical implementation. To this aim, solutions to the exercises have been subdivided in three parts. The first concerns the mathematical analysis of the problem, the second its numerical approximation and the third part is devoted to implementation aspects and the analysis of the results. The book consists of three parts. The first deals with basic material and results provided as useful reference for the other sections. In particular, we recall the basics of functional analysis and the finite element method. The second part deals with steady elliptic problems, solved with finite elements or finite differences, while in the third part we address time-dependent problems, including linear hyperbolic systems and Navier-Stokes equations. Two appendices discuss some practical implementation issues and three-dimensional applications. Each section contains a brief introduction to the subject to make this book self contained En línea: http://dx.doi.org/10.1007/978-88-470-2412-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33039 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar
