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.
| ISBN: | 9783319508641 |
| Publication date: | 23rd February 2017 |
| Author: | Alexandre L Madureira |
| Publisher: | Springer an imprint of Springer International Publishing |
| Format: | Paperback |
| Pagination: | 123 pages |
| Series: | SpringerBriefs in Mathematics |
| Genres: |
Numerical analysis Differential calculus and equations Applied mathematics |
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.
Numerical Methods and Analysis of Multiscale Problems features in the following genres: Numerical analysis, Differential calculus and equations, Applied mathematics
Paperback. Not Available.
Numerical Methods and Analysis of Multiscale Problems was written by Alexandre L Madureira and published by Springer an imprint of Springer International Publishing
Numerical Methods and Analysis of Multiscale Problems has 123 pages
Yes it is part of SpringerBriefs in Mathematics series