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

• [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]
• [Apr. 2023] Front Transport Reduction has been accepted for publication in J. Sci. Comput.! Last milestone of my PhD!
• [Feb. 2023] Quantum links on a ladder? Published in PRD [PDF]
• [Feb. 2023] New exciting research: “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” [PDF]
• [Dec. 2022] My PhD viva takes place on the 13.12, 16h00 at Ma 415 in TU-Berlin [INFO]

Publications

• 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
  Preprint arXiv:2310.04318
  [PDF]

• 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]