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. |
Keywords
Botzmann Equation, Non-self adjoint operator
Math Review Classification
Primary 47A40
; Secondary 47G20, 35P25
Last Updated
21 May 1998
Length
45 pages
Availability
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