8 papers
KiT-RT: An extendable framework for radiative transfer and therapy
Jonas Kusch, Steffen Schotthöfer, Pia Stammer +2
In this paper we present KiT-RT (Kinetic Transport Solver for Radiation Therapy), an open-source C++ based framework for solving kinetic equations in radiation therapy applications…
On the stability of robust dynamical low-rank approximations for hyperbolic problems
Jonas Kusch, Lukas Einkemmer, Gianluca Ceruti
The dynamical low-rank approximation (DLRA) is used to treat high-dimensional problems that arise in such diverse fields as kinetic transport and uncertainty quantification. Even t…
A Realizable Filtered Intrusive Polynomial Moment Method
Graham Alldredge, Martin Frank, Jonas Kusch +1
Intrusive uncertainty quantification methods for hyperbolic problems exhibit spurious oscillations at shocks, which leads to a significant reduction of the overall approximation qu…
Dynamical low-rank approximation for Burgers' equation with uncertainty
Jonas Kusch, Gianluca Ceruti, Lukas Einkemmer +1
Quantifying uncertainties in hyperbolic equations is a source of several challenges. First, the solution forms shocks leading to oscillatory behaviour in the numerical approximatio…
A rank-adaptive robust integrator for dynamical low-rank approximation
Gianluca Ceruti, Jonas Kusch, Christian Lubich
A rank-adaptive integrator for the dynamical low-rank approximation of matrix and tensor differential equations is presented. The fixed-rank integrator recently proposed by two of…
Intrusive acceleration strategies for Uncertainty Quantification for hyperbolic systems of conservation laws
Jonas Kusch, Jannick Wolters, Martin Frank
Methods for quantifying the effects of uncertainties in hyperbolic problems can be divided into intrusive and non-intrusive techniques. Non-intrusive methods allow the usage of a g…