Portal de Periódicos da CAPES

FFRT: A Fast Finite Ridgelet Transform for Radiative Transport

2015; Society for Industrial and Applied Mathematics; Volume: 13; Issue: 1 Linguagem: Inglês

10.1137/140977722

1540-3467

Simon Etter, Philipp Grohs, Axel Obermeier,

Computer Graphics and Visualization Techniques

This paper introduces an FFT-based implementation of a fast finite ridgelet transform which we call FFRT. Inspired by recent work where it was shown that ridgelet discretizations of linear transport equations can be easily preconditioned by diagonal preconditioning, we use the FFRT for the numerical solution of such equations. Combining this FFRT-based method with a sparse collocation scheme, we construct a novel solver for the radiative transport equation which results in uniformly well-conditioned linear systems.