Older research images/movies

Some images click to play movie (MP4) or enlarge... or see old Dirichlet Laplace eigenfunctions (|φj|2 for half-mushroom, quarter-stadium)
2D periodic rheology simulation via boundary integral equations: 25 rigid neutrally-buoyant ellipses per unit cell in a shearing Stokes flow (with J. Wang, E. Nazockdast; JCP '21) Timings of our ARDC solver vs others, for a 2nd-order oscillatory ODE with frequency λ, via adaptive defect correction for the Riccati phase function (with F. Agocs; SINUM '23). 3D acoustic wave equation via high-order Volterra time-domain boundary integral equations: pulsed plane wave scattering from smooth cruller shape to 5-digit accuracy (with T. Hagstrom, L. Greengard; JCP '20).
Fresnel scalar diffraction intensity from a hard-edged occulter, to 12-digit accuracy, at 106 targets, in 0.05 s on a laptop. The petal design is a "starshade" for exoplanet astronomy (JATIS '21). Lower bounds on rate of exponential ill-conditioning of rectangular submatrices of the discrete Fourier matrix, using the Kasier-Bessel window as an analytic tool (SIREV '22).