134 citations · 1.1k across the 79 of their papers we have counts for
4 papers · 1 filter
On Strong Stability of Explicit Runge-Kutta Methods for Nonlinear Semibounded Operators
Hendrik Ranocha
Explicit Runge-Kutta methods are classical and widespread techniques in the numerical solution of ordinary differential equations (ODEs). Considering partial differential equations…
Numerical Methods for the Magnetic Induction Equation with Hall Effect and Projections onto Divergence-Free Vector Fields
Hendrik Ranocha, Katharina Ostaszewski, Philip Heinisch
The nonlinear magnetic induction equation with Hall effect can be used to model magnetic fields, e.g. in astrophysical plasma environments. In order to give reliable results, numer…
Error Boundedness of Discontinuous Galerkin Methods with Variable Coefficients
Philipp Öffner, Hendrik Ranocha
For practical applications, the long time behaviour of the error of numerical solutions to time-dependent partial differential equations is very important. Here, we investigate thi…
Mimetic Properties of Difference Operators: Product and Chain Rules as for Functions of Bounded Variation and Entropy Stability of Second Derivatives
Hendrik Ranocha
For discretisations of hyperbolic conservation laws, mimicking properties of operators or solutions at the continuous (differential equation) level discretely has resulted in sever…