Agis Athanassoulis

Agissilaos (Agis) Athanassoulis

Senior Lecturer in Mathematics, University of Dundee

Selected publications

  1. Global solutions for the Alber equation in HÂąđť”–Âą(đť•‹). To appear in the SIAM Journal on Mathematical Analysis. arXiv
  2. A second-order-in-time scheme for the von Neumann equation with singular self-interaction and simulation of the onset of instability, with I. Kyza & F. Karakatsani. Applied Numerical Mathematics 229 (2026), pp. 331–355. journal · arXiv
  3. Efficient numerical approximations for a nonconservative nonlinear Schrödinger equation appearing in wind-forced ocean waves, with I. Kyza & T. Katsaounis. Studies in Applied Mathematics 153-4 (2024) e12774. journal · arXiv
  4. Modulation Instability and Convergence of the Random-Phase Approximation for Stochastic Sea States, with I. Kyza. Water Waves 6-1 (2024), pp. 145–167. journal · arXiv
  5. A novel, structure-preserving, second-order-in-time relaxation scheme for Schrödinger–Poisson systems, with T. Katsaounis, I. Kyza & S. Metcalfe. Journal of Computational Physics 112307 (2023). journal · arXiv
  6. Strong solutions for the Alber equation and stability of unidirectional wave spectra, with G. Athanassoulis, M. Ptashnyk & T. Sapsis. Kinetic & Related Models 13-4 (2020), pp. 703–737. journal · arXiv
  7. Semiclassical regularization of Vlasov equations and wavepackets for nonlinear Schrödinger equations. Nonlinearity 31-3 (2018), pp. 1045–1072. journal · arXiv
  8. Numerical simulations of X-rays Free Electron Lasers (XFEL), with P. Antonelli, Z. Huang & P. Markowich. Multiscale Modeling and Simulation (SIAM) 12-4 (2014), pp. 1607–1621. journal · arXiv
  9. On the XFEL Schrödinger equation: highly oscillatory magnetic potentials and time averaging, with P. Antonelli, H. Hajaiej & P. Markowich. Archive for Rational Mechanics and Analysis 211-3 (2014), pp. 711–732. journal
  10. On the selection of the classical limit for potentials with BV derivatives, with T. Paul. Journal of Dynamics and Differential Equations 25-1 (2013), pp. 33–47. journal
  11. Strong and weak semiclassical limits for some rough Hamiltonians, with T. Paul. Mathematical Models & Methods in Applied Sciences 22-12 (2012), 1250038. journal · arXiv
  12. Semiclassical Propagation of Coherent States for the Hartree Equation, with T. Paul, F. Pezzotti & M. Pulvirenti. Annales Henri Poincaré 12-8 (2011), pp. 1613–1634. journal · arXiv
  13. Strong phase-space semiclassical asymptotics, with T. Paul. SIAM Journal on Mathematical Analysis 43-5 (2011), pp. 2116–2149. journal · arXiv
  14. Strong Semiclassical Approximation of Wigner Functions for the Hartree Dynamics, with T. Paul, F. Pezzotti & M. Pulvirenti. Rendiconti Lincei — Matematica e Applicazioni 22-4 (2011), pp. 525–552. journal · arXiv
  15. Coarse-scale representations and smoothed Wigner transforms, with N. J. Mauser & T. Paul. Journal de Mathématiques Pures et Appliquées 91-3 (2009), pp. 296–338. journal · arXiv
  16. Exact equations for smoothed Wigner transforms and homogenization of wave propagation. Applied and Computational Harmonic Analysis 24 (2008), pp. 378–392. journal · arXiv