Spectral methods for the equilibrium shapes of fluids

Series
Applied and Computational Mathematics Seminar
Time
Friday, October 9, 2026 - 1:00pm for 1 hour (actually 50 minutes)
Location
Skiles 005 and https://gatech.zoom.us/j/94954654170
Speaker
Ray Treinen – Texas State University – rt30@txstate.eduhttps://raytreinen.wp.txstate.edu/
Organizer
John McCuan

 We develop adaptive Chebyshev and Fourier-Chebyshev spectral collocation methods for the nonlinear prescribed mean curvature equations used to model the height of a fluid interface.  The non-linearity is treated with a Newton’s method.  Various geometries and symmetries are considered, and the resulting methods are used to solve the free boundary problems that arise from the equilibrium of a floating drop.