3 papers
math.NA2025
Numerical Approximation of the logarithmic Laplacian via sinc-basis
Patrick Dondl, Ludwig Striet
In recent works, the authors of this chapter have shown with co-authors how a basis consisting of dilated and shifted -functions can be used to solve fractional partia…
math.NA2025
Convex-concave splitting for the Allen-Cahn equation leads to -slow movement of interfaces
Patrick Dondl, Akwum Onwunta, Ludwig Striet +1
The convex-concave splitting discretization of the Allen-Cahn is easy to implement and guaranteed to be energy decreasing even for large time-steps. We analyze the time-stepping sc…
math.NA2025
Arbitrary precision computation of hydrodynamic stability eigenvalues
Patrick Dondl, Ludwig Striet, Brian Straughan
We show that by using higher order precision arithmetic, i.e., using floating point types with more significant bits than standard double precision numbers, one may accurately comp…