Tuesday, October 4, 2022
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Paper of Paul Bergold revealed in Numerische Mathematik


The paper “An error sure for the time-sliced thawed Gaussian propagation methodology“, co-authored by Paul Bergold and Caroline Lasser (TU München) has been revealed on-line and open entry this week (22 September) in Numerische Mathematik (writer’s web site right here). The paper research the time-sliced thawed Gaussian propagation methodology, which was just lately proposed for fixing the time-dependent Schrödinger equation. A triplet of quadrature-based evaluation, synthesis and re-initialization operators are launched to offer a rigorous mathematical formulation of the strategy. Additional, mixed error bounds are derived for the discretization of the wave packet remodel and the time-propagation of the thawed Gaussian foundation features. Numerical experiments in 1D illustrate the theoretical outcomes. The picture beneath reveals a screenshot of the principle Theorem of the paper.

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