By Randall J. LeVeque

This booklet, first released in 2002, includes an creation to hyperbolic partial differential equations and a strong category of numerical tools for approximating their answer, together with either linear difficulties and nonlinear conservation legislation. those equations describe quite a lot of wave propagation and shipping phenomena coming up in approximately each medical and engineering self-discipline. numerous purposes are defined in a self-contained demeanour, in addition to a lot of the mathematical conception of hyperbolic difficulties. High-resolution models of Godunov's technique are built, within which Riemann difficulties are solved to figure out the neighborhood wave constitution and limiters are then utilized to get rid of numerical oscillations. those tools have been initially designed to catch surprise waves competently, yet also are necessary instruments for learning linear wave-propagation difficulties, rather in heterogenous fabric. The tools studied are applied within the CLAWPACK software program package deal and resource code for all of the examples provided are available on the net, besides animations of some of the simulations. this offers a good studying setting for figuring out wave propagation phenomena and finite quantity methods.

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