From the 1 of 8 linked papers with an AI index.
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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…
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…
Time-integration of Gaussian variational approximation for the magnetic Schrödinger equation
Malik Scheifinger, Kurt Busch, Marlis Hochbruck +1
In the present paper we consider the semiclassical magnetic Schrödinger equation, which describes the dynamics of charged particles under the influence of a electro-magnetic field…
Sampling strategies for expectation values within the Herman--Kluk approximation
Fabian Kröninger, Caroline Lasser, Jiri J. L. Vanicek
When computing quantum-mechanical observables, the ``curse of dimensionality'' limits the naive approach that uses the quantum-mechanical wavefunction. The semiclassical Herman--Kl…