A Novel Numerical Solution Method for the Linear Boltzmann Equation

Michael H. Meylan


We present here a novel numerical solution to the linear Boltzmann equation.
The method is based on reducing the linear Boltzmann equation to a matrix
partial differential equation rather than a partial integro-differential
equation. A method for calculating the evolution using a complex generalised
eigenfunction method is present for two simple example cases. The
generalisation of this method follows straight forwardly.

Botzmann Equation, Non-self adjoint operator

Math Review Classification
Primary 47A40 ; Secondary 47G20, 35P25

Last Updated
21 May 1998

45 pages

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