Numerical Methods and Analysis of Multiscale Problems

• Main Author: Madureira, Alexandre L. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: SpringerBriefs in Mathematics,
• Subjects: Mathematics.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Numerical analysis.; Numerical Analysis.; Partial Differential Equations.; Applications of 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 mathematic...

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.