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Tikhonov regularization method for a Cauchy problem for the Helmholtz equation in multiple dimensions-----
inverse problems Helmholtz equation Tikhonov regularization error estimate
2011/10/18
This paper deals with a Cauchy problem for the Helmholtz equa- tion in multiple dimensions.We want to obtain the solution u on the boundary z = 0 from the given function g ontheside z = 1. This proble...
Current fluctuations for independent random walks in multiple dimensions
Independent random walks hydrodynamic limit current Independent random walks
2010/12/6
Consider a system of particles evolving as independent and iden-tically distributed (i.i.d.) random walks. Initial fluctuations in the particle density get translated over time with velocity ~v, the c...
Extending a Hybrid Godunov Method for Radiation Hydrodynamics to Multiple Dimensions
Hybrid Godunov Method Radiation Hydrodynamics Multiple Dimensions
2010/12/15
This paper presents a hybrid Godunov method for three-dimensional radiation hydrodynamics.
The multidimensional technique outlined in this paper is an extension of the one-dimensional method that was...