Numerical Methods and Analysis of Multiscale Problems

• Κύριος συγγραφέας: Madureira, Alexandre L. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Σειρά: SpringerBriefs in Mathematics,
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.