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math.NA2015
Convergence of approximate solutions of conservation laws
Sebastian Noelle, Michael Westdickenberg
In this paper we consider convergence of approximate solutions of conservation laws. We start with an overview over the historical developments since the 1950s, and the analytical…
math.NA2008★ 31 cited
Variational Particle Schemes for the Porous Medium Equation and for the System of Isentropic Euler Equations
Michael Westdickenberg, Jon Wilkening
Both the porous medium equation and the system of isentropic Euler equations can be considered as steepest descents on suitable manifolds of probability measures in the framework o…