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O. Koch, A. Paul, A. Traxler, E. Weinmüller:
"Efficient Numerical Solution of a Singular Initial Value Problem in Avalanche Modeling";
Bericht für ANUM Preprint No. 11/02; 2002.

A leading-edge model due to McClung is used to describe the run-up and run-out of avalanches. The modeling process results in a singular initial value problem which is solved numerically using an appropriately adapted version of the IDeC method. In Section 1 the model and its parameters are specified. In Section 2 existence, uniqueness and smoothness properties of the analytical solution of the problem are discussed. In Sections 3 and 4 we describe the algorithm and technical details of the implementation. The results of some numerical experiments are given in Section 5.

http://www.math.tuwien.ac.at/~ewa/PDF_Files/aval_bericht.pdf