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math.NA2022
Computation of Laplacian eigenvalues of two-dimensional shapes with dihedral symmetry
David Berghaus, Robert Stephen Jones, Hartmut Monien +1
We numerically compute the lowest Laplacian eigenvalues of several two-dimensional shapes with dihedral symmetry at arbitrary precision arithmetic. Our approach is based on the met…
math.NT2022
On the computation of modular forms on noncongruence subgroups
David Berghaus, Hartmut Monien, Danylo Radchenko
We present two approaches that can be used to compute modular forms on noncongruence subgroups. The first approach uses Hejhal's method for which we improve the arbitrary precision…