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R.-Paul Wilhelm

Education

  • 10/2014 - 09/2017 B.Sc. in Mathematics at RWTH Aachen
  • 10/2017 - 10/2019 M.Sc. in Mathematics at RWTH Aachen
  • since 04/2020 PhD candidate at ACoM, RWTH Aachen

Research Interests

  • Particle methods
  • Kinetic theory in context of Plasma physics
  • Reproducing kernel Hilbert spaces (RKHS)
  • Continuous Optimization theory and differential geometry

Scholarships

  • Part of the NHR graduate school since April 2022

Conference presentations and talks

  • NHR conference, Berlin, Germany, September 2023: Comparison of the Numerical Flow Iteration to particle-based approaches for the Vlasov equation
  • GAMM, Dresden, Germany, May 2023: The numerical flow iteration for the Vlasov equation
  • Research Visit University Bochum, May 2023: NuFI: An implicit Lagrangian Flow reconstruction scheme for the Vlasov equation
  • SIAM CSE, Amsterdam, Netherlands, February 2023: NuFI: The numerical flow iteration for the Vlasov-Poisson equation
  • Research Visit TU Darmstadt, January 2023: NuFI: The numerical flow iteration for the Vlasov-Poisson equation
  • HPC Fusion, Barcelona, Spain (virtual), December 2022: NuFI: The numerical flow iteration for the Vlasov-Poisson equation
  • ACoM Lunch Seminar, Aachen, Germany, November 2022: The numerical flow iteration for the Vlasov–Poisson equation
  • WCCM-APCOM, Yokohama, Japan (virtual), August 2022: An interpolating particle method for the Vlasov-Poisson equation
  • ACoM Lunch Seminar, Aachen, Germany, January 2021: A Particle method using RKHS interpolation

Publications and Preprints

  • Rostislav-Paul Wilhelm, Matthias Kirchhart and Manuel Torrilhon. ‘Introduction to the numerical flow iteration for the Vlasov–Poisson equation’. Proceedings in Applied Mathematics and Mechanics, 10.1002/pamm.202300162 (Sep. 2023).

  • Matthias Kirchhart and Rostislav-Paul Wilhelm. ‘The Numerical Flow Iteration for the Vlasov–Poisson equation’. Preprint on arXiv, 10.48550/arXiv.2301.05581 (Jan. 2023).

  • Rostislav-Paul Wilhelm and Matthias Kirchhart. ‘An interpolating particle method for the Vlasov–Poisson equation’. Journal of computational Physics, 10.1016/j.jcp.2022.111720 (Jan. 2023).

  • Rostislav-Paul Wilhelm and Michael Westdickenberg. 'Existence of gradient flows in Riemannian geometry of matrix spaces induced by the Bogoliubov inner product', 10.13140/RG.2.2.17231.84640 (Sep. 2019).