(Semi-)Analytical Solutions of 1D Partial Differential Equations

Details (Semi-)Analytical Solutions of 1D Partial Differential Equations (Semi-)Analytical Solutions of 1D Partial Differential Equations

Sep 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010aspc..429..253l&link_type=abstract

Numerical Modeling of Space Plasma Flows, Astronum-2009, proceedings of a conference held 29 June through 3 July 2009 in Chamoni

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I review here some of the methods that have been used to get solutions to astrophysically relevant problems. I will in particular detail a method to obtain self-similar solutions and provide an application for fast moving convective/radiative fronts in stars. I will then suggest possible applications to numerical algorithms for solving 1D partial differential equations.

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