Numerical Methods and Analysis of Multiscale Problems

Nonfiction, Science & Nature, Mathematics, Number Systems, Differential Equations
Cover of the book Numerical Methods and Analysis of Multiscale Problems by Alexandre L. Madureira, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Alexandre L. Madureira ISBN: 9783319508665
Publisher: Springer International Publishing Publication: February 15, 2017
Imprint: Springer Language: English
Author: Alexandre L. Madureira
ISBN: 9783319508665
Publisher: Springer International Publishing
Publication: February 15, 2017
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Sustainable Water Use and Management by Alexandre L. Madureira
Cover of the book Emergence of Temperature in Examples and Related Nuisances in Field Theory by Alexandre L. Madureira
Cover of the book Sequences and Their Applications - SETA 2014 by Alexandre L. Madureira
Cover of the book Islamophobia and Radicalization by Alexandre L. Madureira
Cover of the book Advances in Multimedia Information Processing – PCM 2018 by Alexandre L. Madureira
Cover of the book Denken ohne Sprache by Alexandre L. Madureira
Cover of the book Landforms of the Earth by Alexandre L. Madureira
Cover of the book Direction of Arrival Estimation and Localization of Multi-Speech Sources by Alexandre L. Madureira
Cover of the book Computations and Computing Devices in Mathematics Education Before the Advent of Electronic Calculators by Alexandre L. Madureira
Cover of the book Advances in Sustainable and Competitive Manufacturing Systems by Alexandre L. Madureira
Cover of the book A Paraconsistent Decision-Making Method by Alexandre L. Madureira
Cover of the book Handbook of Anticancer Drugs from Marine Origin by Alexandre L. Madureira
Cover of the book The Return of Cultural Artefacts by Alexandre L. Madureira
Cover of the book Optimization in Engineering by Alexandre L. Madureira
Cover of the book Peripheral Ulcerative Keratitis by Alexandre L. Madureira
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy