2 papers
math.NA2022
A generalized expansion method for computing Laplace-Beltrami eigenfunctions on manifolds
Jackson C. Turner, Elena Cherkaev, Dong Wang
Eigendecomposition of the Laplace-Beltrami operator is instrumental for a variety of applications from physics to data science. We develop a numerical method of computation of the…
math.SP2022
Flat tori with large Laplacian eigenvalues in dimensions up to eight
Chiu-Yen Kao, Braxton Osting, Jackson C. Turner
We consider the optimization problem of maximizing the -th Laplacian eigenvalue, , over flat -dimensional tori of fixed volume. For , this problem is equivalent t…