Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1140162 | Mathematics and Computers in Simulation | 2009 | 12 Pages |
Abstract
We solve Burgers' equation with random Riemann initial conditions. The closed solution allows simple expressions for its statistical moments. Using these ideas we design an efficient algorithm to calculate the statistical moments of the solution. Our methodology is an alternative to the Monte Carlo method. The present approach does not demand a random numbers generator as does the Monte Carlo method. Computational tests are added to validate our approach.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
M. Cristina C. Cunha, Fábio A. Dorini,