5 papers · 1 filter
Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications
Eddy de Leon, Caroline Lasser
We study time-discrete parametric approximations of evolution equations in Hilbert spaces based on residual minimization. The solution is represented by a parametrized ansatz belon…
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 formula…
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…
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…