3 papers
math.AP2025
A primer on Fourier Series
Serena Dipierro, David Pfefferlé, Enrico Valdinoci
This is a textbook on Fourier Series, suitable for both undergraduate and graduate courses. The textbook is endowed with exercises, and full solutions are provided at the end of th…
math-ph2025
Asymmetry of curl eigenfields solving Woltjer's variational problem
Daniel Peralta-Salas, David Perrella, David Pfefferlé
We construct families of rotationally symmetric toroidal domains in for which the eigenfields associated to the first (positive) Ampèrian curl eigenvalue are symmetr…
physics.plasm-ph2024
Structure-preserving particle methods for the Landau collision operator using the metriplectic framework
Sandra Jeyakumar, Michael Kraus, Matthew J. Hole +1
We present a novel family of particle discretisation methods for the nonlinear Landau collision operator. We exploit the metriplectic structure underlying the Vlasov-Maxwell-Landau…