118 citations · 565 across the 34 of their papers we have counts for
6 papers · 2 filters
On Hahn polynomial expansion of a continuous function of bounded variation
René Goertz, Philipp Öffner
We consider the well-known method of least squares on an equidistant grid with nodes on the interval . We investigate the following problem: For which ratio and…
Spectral accuracy for the Hahn polynomials
René Goertz, Philipp Öffner
We consider in this paper the Hahn polynomials and their application in numerical methods. The Hahn polynomials are classical discrete orthogonal polynomials. We analyse the behavi…
Analysis of Artificial Dissipation of Explicit and Implicit Time-Integration Methods
Philipp Öffner, Jan Glaubitz, Hendrik Ranocha
Stability is an important aspect of numerical methods for hyperbolic conservation laws and has received much interest. However, continuity in time is often assumed and only semidis…
Enhancing stability of correction procedure via reconstruction using summation-by-parts operators II: Modal filtering
Jan Glaubitz, Hendrik Ranocha, Philipp Öffner +1
A recently introduced framework of semidiscretisations for hyperbolic conservation laws known as correction procedure via reconstruction (CPR, also known as flux reconstruction) is…
Enhancing stability of correction procedure via reconstruction using summation-by-parts operators I: Artificial dissipation
Hendrik Ranocha, Jan Glaubitz, Philipp Öffner +1
The correction procedure via reconstruction (CPR, also known as flux reconstruction) is a framework of high order semidiscretisations used for the numerical solution of hyperbolic…
Application of Modal Filtering to a Spectral Difference Method
Jan Glaubitz, Philipp Öffner, Thomas Sonar
We adapt the spectral viscosity (SV) formulation implemented as a modal filter to a Spectral Difference Method (SD) solving hyperbolic conservation laws. In the SD Method we use se…