Foundation for Research and Technology
INSTITUTE OF APPLIED AND
COMPUTATIONAL MATHEMATICS
Wave Propagation Group
George N. Makrakis
Collaborating Researcher
Associate Professor
Department of Applied Mathematics,
University of Crete
Curriculume vitae
Research interests:
A. Ocean Acoustics
B. Multiphase Geometrical Optics
- Computation of high-frequency fiels near caustics in stratified
media
- Multivalued solutions of the eikonal equation
- Phase space techniques (Wigner transform, Lagrangian integrals)
(activity related to the TMR Programmes : "Hyperbolic Conservation Laws"
& "Viscosity
Solutions and their Applications" and the IHP Programme: Hyperbolic and Kinetic Equations:Asymptotics,
Numerics, Analysis)
Recent related papers:
- Semiclassical Wigner function and geometrical optics (with S. Filippas),
SIAM Multiscale Modeling & Simulation, Vol. 1, No.4, pp.674-710, 2004.
- High frequency waves near cusp caustics (with. E. Kaligiannaki & T.
Katsaounis),
Quarterly of Applied Mathematics, Vol. XLI, No. 1, pp. 111-129, 2003.
- Computation of high-frequency fields near caustics(with T. Katsaounis &
G.T. Kossioris),
Mathematical Methods and Models in Applied Sciences, Vol. 11, No. 2, pp. 1-30,
2001.
- Multivalued solutions to the eikonal equation in stratified media (with
S. Izumiya & G.T. Kossioris),
Quarterly of Applied Mathematics, Vol. 59, No. 2, pp. 365-390, 2001.
PROJECTS
MARIE CURIE FELLOWHIPS PROGRAM
"Modelling and Computations in Wave Propagation"
BILATERAL GERMAN-GREEK PROGRAM
"New Analytical and Numerical Methods in Underwater
Acoustics "
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