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Probabilistic viscosity algorithm for the scalar conservation law

✍ Scribed by Andrzej Korzeniowski

Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
503 KB
Volume
8
Category
Article
ISSN
0749-159X

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✦ Synopsis

We derive an algorithm for solving the initial value problem for u, = ia'u, + f(u)u,. The approach is based on the representation of the solution to the above equation in the form of the functional of Brownian motion. For small a w e get the approximation for u, = f(u)u.. A comparison with the random choice method is illustrated by the numerical example.

πŸ“œ SIMILAR VOLUMES

Regularizing effects for multidimensiona
Regularizing effects for multidimensional scalar conservation laws
✍ C Cheverry πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 419 KB

In this article, we introduce a general method for studying the smoothing effects resulting from the non linearity in a multidimensional scalar conservation law. It turns out that the regularity of physical solutions is intimately related to a number Θ delivered after a scattering procedure. Using t