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math.HO2010
The discrete and the continuous: which comes first?
T. N. Narasimhan
In solving diffusion problems, it is common to consider the finite difference equation to be an approximation to the differential equation. Nevertheless, history shows that the fin…
math.HO2010
On physical diffusion and stochastic diffusion
T. N. Narasimhan
Although the same mathematical expression is used to describe physical diffusion and stochastic diffusion, there are intrinsic similarities and differences in their nature. A compa…
math.HO2009
Laplace, Fourier, and stochastic diffusion
T. N. Narasimhan
Stochastic diffusion equation, which attained prominence with Einstein's work on Brownian motion at the beginning of the twentieth century, was first formulated by Laplace a centur…