From the 1 of 4 linked papers with an AI index.
2 citations · 2 across the 1 of their papers we have counts for
4 papers
Explicit fractional Laplacians and Riesz potentials of classical functions
Timon S. Gutleb, Ioannis P. A. Papadopoulos
The paper derives explicit formulas for fractional Laplacians and their inverses (Riesz potentials) applied to classical orthogonal polynomials and Bessel functions, providing conc…
A frame approach for equations involving the fractional Laplacian
Ioannis P. A. Papadopoulos, Timon S. Gutleb, José A. Carrillo +1
Exceptionally elegant formulae exist for the fractional Laplacian operator applied to weighted classical orthogonal polynomials. We utilize these results to construct a solver, bas…
Modelling power-law ultrasound absorption using a time-fractional, static memory, Fourier pseudo-spectral method
Matthew. J. King, Timon. S. Gutleb, B. E. Treeby +1
We describe and implement a numerical method for modelling the frequency-dependent power-law absorption of ultrasound in tissue, as governed by the first order linear wave equation…
Fast automatically differentiable matrix functions and applications in molecular simulations
Tina Torabi, Timon S Gutleb, Christoph Ortner
We describe efficient differentiation methods for computing Jacobians and gradients of a large class of matrix functions including the matrix logarithm and -th roots $…