63 citations · 347 across the 39 of their papers we have counts for
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Application of Generalized Fokker-Planck Theory To Electron And Photon Transport In Tissue
Edgar Olbrant, Martin Frank
We study a deterministic method for particle transport in tissue in selected medical applications. Generalized Fokker-Planck (GFP) theory has been developed to improve the Fokker-P…
Diffusive Corrections to Pn Approximations
Matthias Schaefer, Martin Frank, C. David Levermore
In this paper, we investigate moment methods from a general point of view using an operator notation. This theoretical approach lets us explore the moment closure problem in more d…
Optimal treatment planning governed by kinetic equations
Martin Frank, Michael Herty, Albert N. Sandjo
In this paper we study a problem in radiotherapy treatment planning, where the evolution of the radiation field is governed by a deterministic Boltzmann transport equation. We show…
Adaptive Finite Element Simulation of the Time-dependent Simplified PN Equations
Martin Frank, Jens Lang, Matthias Schaefer
The steady-state simplified approximation to the radiative transport equation has been successfully applied to many problems involving radiation. Recently, time-dependent sim…
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…