Numerical Methods and Analysis of Multiscale Problems (SpringerBriefs in Mathematics) - Tapa blanda

Libro 85 de 155: SpringerBriefs in Mathematics

Madureira, Alexandre L. L.

 
9783319508641: Numerical Methods and Analysis of Multiscale Problems (SpringerBriefs in Mathematics)
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ISBN 10: 3319508644 ISBN 13: 9783319508641
Editorial: Springer, 2017

Sinopsis

This book is about numerical modeling of multiscale problems, and introduces several asymptotic analysis and numerical techniques which are necessary for a proper approximation of equations that depend on different physical scales.  Aimed at advanced undergraduate and graduate students in mathematics, engineering and physics – or researchers seeking a no-nonsense approach –, it discusses  examples in their simplest possible settings, removing mathematical hurdles that might hinder a clear understanding of the methods.

The problems considered are given by singular perturbed reaction advection diffusion equations in one and two-dimensional domains, partial differential equations in domains with rough boundaries, and equations with oscillatory coefficients. This work shows how asymptotic analysis can be used to develop and analyze models and numerical methods that are robust and work well for a wide range of parameters.


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Acerca del autor

Alexandre L. Madureira is a senior researcher at the National Laboratory for Scientific Computing (LNCC), Brazil, and also works at the Brazilian School of Economics and Finance (EPGE) at the Fundação Getúlio Vargas (FGV). He holds a PhD from Penn State University, USA, and served as a visiting professor at the Istituto di Analisi Numerica (IAN), Italy, University of Colorado at Denver, USA, and Brown University, USA. His main field of interest is numerical analysis, more specifically modeling and analysis of multiscale problems from PDE and numerical points of view.

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Editorial
Springer
Año de publicación
2017
Idioma
Inglés
ISBN 10 
3319508644
ISBN 13 
9783319508641
Encuadernación
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Número de edición
1
Número de páginas
136
Contacto del fabricante
no disponible
Persona responsable
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Hamburg
Alemania

Otras ediciones populares con el mismo título

9783319508658: Numerical Methods and Analysis of Multiscale Problems

Edición Destacada

ISBN 10:  3319508652 ISBN 13:  9783319508658
Editorial: Springer, 2017
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