Agis Athanassoulis

Agissilaos (Agis) Athanassoulis

Senior Lecturer in Mathematics, University of Dundee

Preprints

  1. Global existence for the Alber equation with small data on the torus. arXiv
  2. A structure-preserving, second-order-in-time scheme for the von Neumann equation with power nonlinearity, with I. Kyza & F. Karakatsani. arXiv

Selected publications

  1. 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
  2. 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
  3. 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
  4. Modelling of Ocean Waves with the Alber Equation: Application to Non-Parametric Spectra and Generalisation to Crossing Seas, with O. Gramstad. Fluids 6-8 (2021), 291. journal · arXiv
  5. 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
  6. Semiclassical regularization of Vlasov equations and wavepackets for nonlinear Schrödinger equations. Nonlinearity 31-3 (2018), pp. 1045–1072. journal · arXiv
  7. Regularized semiclassical limits: linear flows with infinite Lyapunov exponents, with Th. Katsaounis & I. Kyza. Communications in Mathematical Sciences 14-7 (2016), pp. 1821–1858. 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. Smoothed affine Wigner transform, with T. Paul. Applied and Computational Harmonic Analysis 28-3 (2010), pp. 313–319. journal
  16. 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
  17. Exact equations for smoothed Wigner transforms and homogenization of wave propagation. Applied and Computational Harmonic Analysis 24 (2008), pp. 378–392. journal · arXiv