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math-ph2009★ 7 cited
Optimal prediction for moment models: Crescendo diffusion and reordered equations
Benjamin Seibold, Martin Frank
A direct numerical solution of the radiative transfer equation or any kinetic equation is typically expensive, since the radiative intensity depends on time, space and direction. A…
math-ph2008★ 6 cited
Optimal prediction in molecular dynamics
Benjamin Seibold
Optimal prediction approximates the average solution of a large system of ordinary differential equations by a smaller system. We present how optimal prediction can be applied to a…
math-ph2008★ 12 cited
Optimal prediction for radiative transfer: A new perspective on moment closure
Martin Frank, Benjamin Seibold
Moment methods are classical approaches that approximate the mesoscopic radiative transfer equation by a system of macroscopic moment equations. An expansion in the angular variabl…