SIAM Journal on Scientific Computing
Multiplicative cascades applied to PDEs (two numerical examples)
Journal of Computational Physics
Probabilistically induced domain decomposition methods for elliptic boundary-value problems
Journal of Computational Physics
Domain decomposition solution of nonlinear two-dimensional parabolic problems by random trees
Journal of Computational Physics
Journal of Scientific Computing
Adaptive numerical algorithms in space weather modeling
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.45 |
The construction of stochastic solutions is a powerful method to obtain localized solutions in configuration or Fourier space and for parallel computation with domain decomposition. Here a stochastic solution is obtained for the magnetohydrodynamics equations. Some details are given concerning the numerical implementation of the solution which is illustrated by an example of generation of long-range magnetic fields by a velocity source.