Numerical Methods and Analysis of Multiscale Problems - SpringerBriefs in Mathematics (Paperback)Alexandre L. Madureira (author)
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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.
Publisher: Springer International Publishing AG
Number of pages: 123
Weight: 2423 g
Dimensions: 235 x 155 x 8 mm
Edition: 1st ed. 2017
"This monograph is concerned with the asymptotic analysis and numerical methods for multiscale problems. ... the book is orientated toward advanced undergraduate and graduate students." (Rolf Dieter Grigorieff, zbMATH, Vol. 1366.65108, 2017)