Numerical Methods and Analysis of Multiscale Problems

DOI10.1007/978-3-319-50866-5zbMath1366.65108OpenAlexW2588039772MaRDI QIDQ2953880

Alexandre L. Madureira

Publication date: 6 January 2017

Published in: SpringerBriefs in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-50866-5

zbMATH Keywords

monographGalerkin methodfinite element methodsingularly perturbed problemasymptotic expansionsoscillatory coefficientshybrid methodsnumerical resultrough boundaryheterogeneous multiscale methodmultiscale problemsstabilized methodsenriched methodswall-lawstwo-scale asymptotic analysis2-dim reaction-diffusion equationfree bubblesneuroscience, heterogeneous cable equation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Neural biology (92C20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Applications to the sciences (65Z05) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

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