Showing 2024Show all
2 papers · 1 filter
math.NA2024
Absorbing Boundary Conditions for Variable Potential Schrödinger Equations via Titchmarsh-Weyl Theory
Matthias Ehrhardt, Chunxiong Zheng
We propose a novel approach to simulate the solution of the time-dependent Schrödinger equation with a general variable potential. The key idea is to approximate the Titchmarsh-Wey…
math.DS2024
Integrating Port-Hamiltonian Systems with Neural Networks: From Deterministic to Stochastic Frameworks
Luca Di Persio, Matthias Ehrhardt, Sofia Rizzotto
This article presents an innovative approach to integrating port-Hamiltonian systems with neural network architectures, transitioning from deterministic to stochastic models. The s…