Paul Bergold

Paul Bergold

Assistant Professor (adjunct), Institute of Applied Mathematics

Address

Faculty of Technical Physics and Applied Mathematics
Politechnika Gdańska
ul. G. Narutowicza 11/12
80-233 Gdańsk, Poland

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My research focuses on the numerical analysis of differential equations and the development of methods for simulating quantum and mixed quantum-classical dynamics. As part of my previous research activities, I have specialised in the following areas:

Research Areas

Splitting methods for differential equations

Focus on linear and non-linear Schrödinger equations

Geometric mechanics

Numerical methods derived from variational principles

Gaussian wave packets

Approximation of wave functions in space and time

Low-rank approximations

Tensor trains applied to high-dimensional quantum dynamics

A central goal of my work is to bridge the gap between mathematics and applied sciences, such as quantum chemistry. To achieve this, I combine theoretical insights with numerical experiments, ensuring the practical applicability and rigorous validation of novel methodologies.

Researcher Profiles

Profil at Politechnika Gdańska Profil at University of Gdańsk Open Researcher and Contributor ID (ORCID) Google Scholar Mathematics Genealogy Project

Selected Publications

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2024 Published

Koopmon trajectories in nonadiabatic quantum-classical dynamics

with W. Bauer, F. Gay-Balmaz, C. Tronci

SIAM Multiscale Model. Simul., 22(4):1365-1401

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2023 Published

The Gaussian Wave Packet Transform via Quadrature Rules

with C. Lasser

IMA J. Numer. Anal., drad049

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2022 Published

An error bound for the time-sliced thawed Gaussian propagation method

with C. Lasser

Numer. Math., 152, 511-551

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