Python library for simulating dynamics and Koopman-based learning of dynamical models. The code in this repository was prepared to implement the methodologies described in C. Folkestad, D. Pastor, I.

Numerov’s numerical method is developed in a didactic way by using Python in its Jupyter Notebook version 6.0.3 for three different quantum physical systems: the hydrogen atom, a molecule governed by ...

Abstract: We have identified a general class of nonlinear stochastic optimal control problems which can be reduced to computing the principal eigenfunction of a linear operator. Here we develop ...

Abstract: We present a rigorous semianalytical formulation for the analysis of electromagnetic (EM) scattering from a cylinder constructed from a metasurface (MS) represented using surface ...

In this paper we present and test a numerical method for computing eigenvalues of 4th order Sturm-Liouville (SL) differential operators on finite intervals with regular boundary conditions. This ...

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Tangles of string typically become knotted, from macroscopic twine down to long-chain macromolecules such as DNA. Here, we demonstrate that knotting also occurs in quantum wavefunctions, where the ...

ABSTRACT: In this paper, we consider L∞ estimates of eigenfunction, or more generally, the L∞ estimates of equation -Δu=fu. We use heat flow to give a new proof of the L∞ estimates for such type ...