The central objective of this paper is to develop reduced basis methods for parameter
dependent transport dominated problems that are rigorously proven to exhibit rate-optimal …

We investigate integral formulations and fast algorithms for the steady-state radiative transfer
equation with isotropic and anisotropic scattering. When the scattering term is a smooth …

We consider the identification of nonlinear heat conduction laws in stationary and
instationary heat transfer problems. Only a single additional measurement of the …

We investigate the identification of scattering and absorption rates in the stationary radiative
transfer equation. For a stable solution of this parameter identification problem, we consider …

We investigate the unique solvability of radiative transfer problems without strictly positive
lower bounds on the absorption and scattering parameters. The analysis is based on a …

It is demonstrated mathematically strictly that state density functions, as the radiance
(specific intensity), exist to describe certain state properties of transported photons on …

The radiative transfer problem is a model used to describe particles moving in a medium
with which the particles might interact. It is used in a broad variety of fields including nuclear …

Unique solvability of the stationary radiative transfer equation is often proved only under the
assumption of absorbing media. We establish solvability without strictly positive lower …

These lecture notes built upon the PhD thesis [17] and the research articles [13, 12, 11]. In
these references the interested reader might find further references and more general …