In this work, we consider a high-order discretization of compressible viscous flows allowing
parallelization both in space and time. The discontinuous Galerkin spectral element method …

In this paper, we use an implicit two-derivative deferred correction time discretization
approach and combine it with a spatial discretization of the discontinuous Galerkin spectral …

In this work, we develop a class of high‐order multiderivative time integration methods that is
able to preserve certain functionals discretely. Important ingredients are the recently …

In the last decade, multi-derivative schemes for ordinary differential equations (ODE), ie,
schemes not only using the ODE's flux, but also derivatives thereof, have seen renewed …

In this study, we introduce a multi-step multi-derivative predictor-corrector time integration
scheme analogous to the schemes in Schütz et al.(2022)[13], incorporating a multi-step …

We combine the recent relaxation approach with multiderivative Runge-Kutta methods to
preserve conservation or dissipation of entropy functionals for ordinary and partial …

In this study, we introduce a multi-step multi-derivative predictor-corrector time integration
scheme analogous to the schemes in Schütz et al.(2022)[13], incorporating a multi-step …

This paper presents a two-derivative energy-stable method for the Cahn-Hilliard equation.
We use a fully implicit time discretization with the addition of two stabilization terms to …