George N. Makrakis

Professor

Address

Department of Mathematics & Applied Mathematics

University of Crete, Heraklion

Heraklion 70013 Crete, Greece

email: makrakg(at)uoc.gr

phone: +30 2810 393708

Institute of Applied and Computational Mathematics (IACM)

Foundation for Research & Technology-Hellas (FORTH)

Heraklion 70013 Crete, Greece

email: g.n.makrakis(at)iacm.forth.gr


phone: +30 2810 391777

Curriculum vitae (CV)

Research interests

Wave propagation (acoustics, elastodynamics, quantum),

Inverse Scattering, Asymptotic techniques


Selected publications

G.A. Athanassoulis and G.N. Makrakis , 
A function-theoretic approach to a two-dimensional wave-body interaction problem,

Applicable Analysis, Vol. 54, No. 3-4, pp. 283-303, 1994.

T. Katsaounis, G.T. Kossioris and G.N. Makrakis, 
Computation of high-frequency fields near caustics,

Mathematical Methods and Models in Applied Sciences, Vol. 11, No. 2, pp. 1-30, 2001.

M.Ikehata, G.N. Makrakis and G. Nakamura, 
Inverse boundary value problem in ocean acoustics,

Mathematical Methods in Applied Sciences, Vol. 24, pp. 1-8, 2001.

S. Filippas and G.N. Makrakis, 
Semiclassical Wigner function and geometrical optics,

SIAM Multiscale Modeling & Simulation, Vol. 1, No.4, pp.674-710, 2004.

S. Yu. Dobrokhotov, G. N. Makrakis, V. E. Nazaikinskii and T. Ya. Tudorovskii,

New formulas for Maslov’s canonical operator in a neighborhood of focal points and caustics in 2D semiclassical asymptotics,

Theoretical and Mathematical Physics, Vol. 177, No. 3, pp. 1579-1605, 2013.

S. Yu. Dobrokhotov, G.N. Makrakis and V.E.Nazaikisinskii, 


Maslov’s Canonical Operator, Hörmander’s Formula, and Localization of Berry–Balazs’ Solution in the Theory of Wave Beams,

Theoretical and Mathematical Physics, Vol. 180, No. 3, pp. 162-182, 2014.

P.D. Karageorge and G.N. Makrakis, Asymptotic approximations for the phase space Schrödinger equation,

J. Phys. A: Math. Theor. 55 (2022) 345201 (49 pp), https://doi.org/10.1088/1751-8121/ac76f6.

Preprints

E.K. Kalligiannaki & G.N. Makrakis,

Perturbation solutions of the semiclassical Wigner equation

G.N. Makrakis,

Formal asymptotic expansion of the Faddeev-Green function in unbounded domain

K.S. Giannopoulou & G.N. Makrakis,

An approximate series solution of the semiclassical Wigner equation

Teaching 

Εαρινό εξάμηνο 2025 (spring semester 2025): Λογισμός μεταβολών (Calculus of variations), Στοχαστικές διαδικασίες (Stochastic processes)