Philipp Krah

About Me

I am a computational physicist located in Marseille, interested in various fields of mathematical physics and numerical analysis. I like to dive with one breath and make music with my friends.

Characteristics:

Physics-love, Algorithms-fun, Rhythm-freedom, Water-needed.

Research Interests

• Numerical Methods for PDEs: adaptive multiresolution, wavelets, volume penalization, conservation laws, high performance computing
• Model Order Reduction: shifted proper orthogonal decomposition, front transport reduction, hyper-reduction, transport-dominated systems, low-rank approxiamtion
• Machine Learning and Optimization: physics guided learning, alternating direction methods, matrix product states
• Physics: quantum link models, quantum field theory, fluid flows, plasma flows

News

• [May 2024] I will be speaking about dynamic low rank approximation at the FRUMAM workshop “Low rank optimization”, 31rst of May [Link]
• [Mar. 2024] My first cooperation with the signal team of the Institut de Mathématiques de Marseille has led to this nice work [PDF]
• [Mar. 2024] New co-authored article on impurity clustering in plasmas of Tokamaks [Article]
• [Feb. 2024] I will be giving a talk on kinetic plasma simulations, 14.05.2024 at Séminaire Analyse Appliquée
• [Feb. 2024] Invited to ECCOMAS, 3th-7th of June, minisymposium on computational kinetic theory [Abstract]
• [Jan. 2024] Paper “MOR for the 1D Boltzmann-BGK Equation” accepted for publication in Microfluidics and Nanofluidics!
• [Nov. 2023] PLASMA is a song from Dr. Gabba I like and also a new preprint that came out [Preprint][Video]
• [Oct. 2023] New preprint is out! The article addresses the identification of intrinsic structures in rarefied gases using neural networks [Preprint]
• [Sept. 2023] Invited for a research visit from 12.November to 12.December in Montreal, McGill University
• [Aug. 2023] Excited to welcome Beata Zorawski from TU Berlin to our team for a 6-month Erasmus+ internship!
• [June 2023] Presenting my current work at ITER International School poster session [Poster1,Poster2]
• [May 2023] Understanding the spread of fires using neural networks and MOR! Paper submitted! [PDF]
• [Mar. 2023] I joined the ANR project Project ANR-20-CE46-0010. Checkout the new website I made for the project [website]

Publications

• A robust shifted proper orthogonal decomposition: Proximal methods for decomposing flows with multiple transports
  Philipp Krah, Arthur Marmin, Beata Zorawski, Julius Reiss, Kai Schneider
  Preprint arXiv:2403.04313
  [PDF][Code coming soon]

• Synthesizing impurity clustering in the edge plasma of tokamaks using neural networks
  Zetao Lin, Thibault Maurel-Oujia, Benjamin Kadoch, Philipp Krah, Nathaniel Saura, Sadruddin Benkadda, Kai Schneider
  Phys. Plasmas 31, 032505 (2024)
  [Article]

• A Characteristic Mapping Method for Vlasov-Poisson with Extreme Resolution Properties
  Philipp Krah, Xi-Yuan Yin, Julius Bergmann, Jean-Christophe Nave, Kai Schneider
  Preprint arXiv:2311.09379
  [PDF][Code][Video]

• Model Order Reduction for the 1D Boltzmann-BGK Equation: Identifying Intrinsic Variables Using Neural Networks
  Julian Koellermeier, Philipp Krah, Julius Reiss, Zachary Schellin
  Microfluid Nanofluid 28, 16 (2024)
  [PDF][Arxiv]

• Parametric model order reduction for a wildland fire model via the shifted POD based deep learning method
  Shubhaditya Burela, Philipp Krah, Julius Reiss
  Preprint arXiv:2304.14872
  [PDF][Code]

• Crystalline Phases at Finite Winding Densities in a Quantum Link Ladder
  Paolo Stornati, Debasish Banerjee, Karl Jansen, Philipp Krah
  Phys. Rev. D 107, L031504 (2023)
  [PDF][Code]

• Macro-micro decomposition for consistent and conservative model order reduction of hyperbolic shallow water moment equations: A study using POD-Galerkin and dynamical low rank approximation
  Julian Koellermeier, Philipp Krah, Jonas Kusch
  Preprint arXiv:2302.01391v1
  [PDF][Code]

• Front Transport Reduction for Complex Moving Fronts
  Philipp Krah, Steffen Büchholz, Matthias Häringer, Julius Reiss
  Sci Comput 96, 28 (2023)
  [PDF][Code]

• Wavelet Adaptive Proper Orthogonal Decomposition for Large Scale Flow Data
  Philipp Krah, Thomas Engels, Kai Schneider, Julius Reiss
  Adv Comput Math 48, 10 (2022).
  [PDF][Code]

• Supervised Learning for Multi Zone Sound Field Reproduction under Harsh Environmental Conditions
  Henry Sallandt, Philipp Krah, Mathias Lemke
  Preprint arXiv:2112.07349, under review
  [PDF][Code]

• Phases at finite winding number of an Abelian lattice gauge theory
  Paolo Stornati, Debasish Banerjee, Karl Jansen, Philipp Krah
  Lattice Conference 2021
  [PDF][Code]

• Model Order Reduction of Combustion Processes with Complex Front Dynamics
  Philipp Krah, Mario Sroka, Julius Reiss
  Numerical Mathematics and Advanced Applications ENUMATH 2019
  [PDF][Code]

• SU(3) Yang Mills theory at small distances and fine lattices
  Nikolai Husung Mateusz Koren, Philipp Krah and Rainer Sommer
  EPJ Web of Conferences 175, 14024 (2018)
  [PDF]