Download e-book for kindle: Spectral Methods for Non-Standard Eigenvalue Problems: Fluid by Călin-Ioan Gheorghiu

By Călin-Ioan Gheorghiu

This e-book specializes in the optimistic and functional features of spectral equipment. It carefully examines crucial features in addition to drawbacks of spectral equipment within the context of numerical tools dedicated to clear up non-standard eigenvalue difficulties. additionally, the e-book additionally considers a few nonlinear singularly perturbed boundary worth difficulties in addition to eigenproblems got via their linearization round consistent solutions.

The e-book is mathematical, poising difficulties of their right functionality areas, yet its emphasis is on algorithms and useful problems. the variety of functions is sort of huge. excessive order eigenvalue difficulties are usually beset with numerical sick conditioning difficulties. The booklet describes a wide selection of profitable variations to plain algorithms that tremendously mitigate those problems.

In addition, the publication makes heavy use of the idea that of pseudospectrum, that's hugely suitable to figuring out whilst catastrophe is drawing close in fixing eigenvalue difficulties. It additionally envisions sessions of functions, the steadiness of a few elastic buildings and the hydrodynamic balance of a few parallel shear flows.

This ebook is a perfect reference textual content for execs (researchers) in utilized arithmetic, computational physics and engineering. it is going to be very necessary to numerically subtle engineers, physicists and chemists. The e-book is additionally used as a textbook in evaluation classes equivalent to numerical research, computational tools in a variety of engineering branches or physics and computational equipment in analysis.

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Spectral Methods for Non-Standard Eigenvalue Problems: Fluid and Structural Mechanics and Beyond (SpringerBriefs in Mathematics) by Călin-Ioan Gheorghiu

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