2 papers
math.SP2021
A counterexample to Payne's nodal line conjecture with few holes
Joel Dahne, Javier Gómez-Serrano, Kimberly Hou
Payne conjectured in 1967 that the nodal line of the second Dirichlet eigenfunction must touch the boundary of the domain. In their 1997 breakthrough paper, Hoffmann-Ostenhof, Hoff…
math.NA2020
Computation of Tight Enclosures for Laplacian Eigenvalues
Joel Dahne, Bruno Salvy
Recently, there has been interest in high-precision approximations of the first eigenvalue of the Laplace-Beltrami operator on spherical triangles for combinatorial purposes. We co…