This article develops data-driven methods to identify eigenfunctions of the Koopman operator associated with a dynamical system and subspaces that are invariant under the operator. We build on ...

The height function regularizes the QNM eigenfunctions in the asymptotic domains. The regularity of the QNM eigenfunctions is directly related to the regularity of the minimal gauge at the asymptotic ...

This article presents a novel data-driven framework for constructing eigenfunctions of the Koopman operator geared toward prediction and control. The method leverages the richness of the spectrum of ...

We study the quasinormal mode eigenvalues and eigenfunctions for the Teukolsky equation in a horizon penetrating, hyperboloidally compactified coordinate system. Following earlier work by Zenginoğlu ...

We present the Quantum Section Method as a quantization technique to compute the eigenvalues and the eigenfunctions of quantum systems. As an instructive example we apply this procedure to quantize ...

Thus, the leading eigenvalues are to be associated with the longest implied timescales, meaning that their corresponding eigenfunctions have a slow relaxation toward the equilibrium. For this reason, ...

MATH 3363 - Introduction to Partial Differential Equations ***This is a course guideline. Students should contact instructor for the updated information on current course syllabus, textbooks, and ...