PSINumScat

About the Project Open Positions Open Positions Publications Contact

About the project

Phase-space-inspired Numerical Methods for High Frequency Wave Scattering (PSINumScat) is an ERC Synergy funded project. Designing fast and reliable algorithms to numerically simulate the behaviour of high-frequency acoustic and electromagnetic waves is a longstanding open problem in computational mathematics. These waves underpin a plethora of communication and imaging technologies; therefore any progress towards solving this problem will have wide impact. By exploiting techniques from pure mathematics specifically designed to study high-frequency problems, PSINumScat aims to design, analyse, and implement in open-source software new methods for the numerical solution of high-frequency acoustic and electromagnetic wave scattering problems.

The project is led by:

  • Jeffrey Galkowski, Professor of Mathematics at University College London
  • Euan Spence, Professor of Mathematics at University of Bath
  • Pierre-Henri Tournier, Research engineer at Laboratoire Jacques Louis Lions (LJLL), Sorbonne University, Paris

    • The Team

    PIs:
    • Jeffrey Galkowski, Professor of Mathematics at University College London
    • Euan Spence, Professor of Mathematics at University of Bath
    • Pierre-Henri Tournier, Research engineer at Laboratoire Jacques Louis Lions (LJLL), Sorbonne University, Paris
    Postdoctoral Fellows:
    • Yilin Ma, Research Fellow at University College London
    • Antoine Gansemer, Research Fellow at University College London
    • Maria Ignacia Fierro Piccardo, Research Fellow at University of Bath
    • Mostafa Meliani, Research Fellow at University of Bath
    • Ahmed Chabib, Research Enginner at Sorbonne Universite, LJLL
    Associated Members:
    • Frederic Nataf, Directeur de Recherche at Laboratoire Jacques Louis Lions (LJLL), Sorbonne University, Paris

    Open Positions

    We currently have no open position.

    Publications

    • Numerical analysis of the high-frequency Helmholtz equation using semiclassical analysis. Jeffrey Galkowski and Euan Spence arXiv2511.15287 , to appear in Acta Numer.
    • Achieving wavenumber robustness in domain decomposition for heterogeneous Helmholtz equation: an overview of spectral coarse spaces. Victorita Dolean, Mark Fry, Matthias Langer, Emile Parolin, Pierre-Henri Tournier arXiv2509.02131
    • Helmholtz boundary integral methods and the pollution effect. Jeffrey Galkowski, Manas Rachh, and Euan Spence arXiv2507.2297
    • Non-uniform finite-element meshes defined by ray dynamics for Helmholtz problems. Martin Averseng, Jeffrey Galkowski, and Euan Spence arXiv2506.15630

    Contact