30 citations · 48 across the 4 of their papers we have counts for
4 papers
Theory of direct simulation Monte Carlo method
Hasan Karabulut, Huriye Ariman Karabulut
A treatment of direct simulation Monte Carlo method (DSMC) as a Markov process with a master equation is given and the corresponding master equation is derived. A hierarchy of equa…
The physical meaning of Lagrange multipliers
Hasan Karabulut
A rule to assign a physical meaning to Lagrange multipliers is discussed. Examples from mechanics, statistical mechanics and quantum mechanics are given.
Distributed Gaussian polynomials as q-oscillator eigenfunctions
Hasan Karabulut
Karabulut and Sibert (\textit{J. Math. Phys}. \textbf{38} (9), 4815 (1997)) have constructed an orthogonal set of functions from linear combinations of equally spaced Gaussians. In…
Direct simulation for a homogenous gas
Hasan Karabulut
A probabilistic analysis of the direct simulation of a homogeneous gas is given. A hierarchy of equations similar to the BBGKY hierarchy for the reduced probability densities is de…