From the 1 of 7 linked papers with an AI index.
7 papers
Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications
Eddy de Leon, Caroline Lasser
The paper develops time‑discrete methods that approximate evolution equations by minimizing residuals on low‑dimensional nonlinear manifolds, and demonstrates the approach on Gauss…
Meshfree versus grid-based Schrödinger solvers for modeling the interactions between free-electron wave packets and light
Mitja Funk, Sebastian Merk, Caroline Lasser +2
The interaction of free-electron wave packets with electromagnetic fields provides a powerful route toward coherent electron control, enabling the generation of energy combs, momen…
Structure-Preserving Integration for Magnetic Gaussian Wave Packet Dynamics
Sebastian Merk, Caroline Lasser
We develop structure-preserving time integration schemes for Gaussian wave packet dynamics associated with the magnetic Schrödinger equation. The variational Dirac--Frenkel formul…
Regularized dynamical parametric approximation
Michael Feischl, Caroline Lasser, Christian Lubich +1
This paper studies the numerical approximation of evolution equations by nonlinear parametrizations $u(t)=Φ(\param(t))$ with time-dependent parameters $\param(t)$, which are to be…
An equivalence of moment closure and nonlinear variational approximation of the Fokker-Planck equation for dilute polymeric flow
Caroline Lasser, Stephan B. Lunowa, Barbara Wohlmuth
We establish the equivalence between a classical moment closure and a nonlinear variational approximation of the Fokker-Planck equation for dilute polymeric flow in the linearized…
Vibronic spectra at nonzero temperatures from Herman-Kluk coherence thermofield dynamics
Fabian Kröninger, Caroline Lasser, JiÅà J. L. VanÃÄek
We combine the semiclassical Herman--Kluk approximation with the coherence thermofield dynamics in order to evaluate vibrationally resolved electronic spectra at nonzero temperatur…