13 citations · 33 across the 5 of their papers we have counts for
6 papers
Heat-content and diffusive leakage from material sets in the low-diffusivity limit
Nathanael Schillling, Daniel Karrasch, Oliver Junge
We generalize leading-order asymptotics of a form of the heat content of a submanifold (van den Berg & Gilkey 2015) to the setting of time-dependent diffusion processes in the limi…
A Lagrangian perspective on nonautonomous advection-diffusion processes in the low-diffusivity limit
Daniel Karrasch, Nathanael Schilling
We study mass preserving transport of passive tracers in the low-diffusivity limit using Lagrangian coordinates. Over finite-time intervals, the solution-operator of the nonautonom…
Short-time heat content asymptotics via the wave and eikonal equations
Nathanael Schilling
In this short paper, we derive an alternative proof for some known [van den Berg & Gilkey 2015] short-time asymptotics of the heat content in compact full-dimensional submanifolds…
Fast and robust computation of coherent Lagrangian vortices on very large two-dimensional domains
Daniel Karrasch, Nathanael Schilling
We describe a new method for computing coherent Lagrangian vortices in two-dimensional flows according to any of the following approaches: black-hole vortices [Haller & Beron-Vera,…
Higher-Order Finite Element Approximation of the Dynamic Laplacian
Nathanael Schilling, Gary Froyland, Oliver Junge
The dynamic Laplace operator arises from extending problems of isoperimetry from fixed manifolds to manifolds evolved by general nonlinear dynamics. Eigenfunctions of this operator…
More efficient time integration for Fourier pseudo-spectral DNS of incompressible turbulence
David I. Ketcheson, Mikael Mortensen, Matteo Parsani +1
Time integration of Fourier pseudo-spectral DNS is usually performed using the classical fourth-order accurate Runge--Kutta method, or other methods of second or third order, with…