Numerical Methods and Analysis of Multiscale Problems

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...

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Bibliographic Details
Main Author: Madureira, Alexandre L.
Format: eBook
Language:English
Published: Cham Springer International Publishing 2017, 2017
Edition:1st ed. 2017
Series:SpringerBriefs in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Introductory Material and Finite Element Methods
  • A One-dimensional Singular Perturbed Problem
  • An Application in Neuroscience: Heterogeneous Cable Equation
  • Two-Dimensional Reaction-Diffusion Equations
  • Modeling PDEs in Domains with Rough Boundaries
  • Partial Differential Equations with Oscillatory Coefficients