Pattern Recognition Programming

Applied Partial Differential Equations:: A Visual Approach by Peter Markowich

By Peter Markowich

This ebook provides chosen themes in technology and engineering from an applied-mathematics standpoint. The defined traditional, socioeconomic, and engineering phenomena are modeled by way of partial differential equations that relate nation variables equivalent to mass, speed, and effort to their spatial and temporal diversifications. as a rule, those equations are hugely nonlinear; in lots of situations they're platforms, they usually characterize demanding situations even for the main smooth and complicated mathematical and numerical-analytic thoughts. the chosen issues replicate the longtime medical pursuits of the writer. They comprise flows of fluids and gases, granular-material flows, organic procedures comparable to development formation on animal skins, kinetics of rarified gases, unfastened barriers, semiconductor units, and socioeconomic techniques. every one subject is in brief brought in its clinical or engineering context, through a presentation of the mathematical versions within the kind of partial differential equations with a dialogue in their simple mathematical houses. the writer illustrates each one bankruptcy through a chain of his personal high quality photos, which display that partial differential equations are strong instruments for modeling a wide number of phenomena influencing our day-by-day lives.

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