2 papers
math.NA2021
A Unified Rational Krylov Method for Elliptic and Parabolic Fractional Diffusion Problems
Tobias Danczul, Clemens Hofreither, Joachim Schöberl
We present a unified framework to efficiently approximate solutions to fractional diffusion problems of stationary and parabolic type. After discretization, we can take the point o…
math.NA2021
On Rational Krylov and Reduced Basis Methods for Fractional Diffusion
Tobias Danczul, Clemens Hofreither
We establish an equivalence between two classes of methods for solving fractional diffusion problems, namely, Reduced Basis Methods (RBM) and Rational Krylov Methods (RKM). In part…