Institute of Applied and Computational Mathematics
IACM is one of the few research institutes in Europe dedicated to promoting the use of advanced mathematics in natural sciences and engineering
George Makrakis
Acting Director of the Institute of Applied and Computational Mathematics
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I am a Professor of Applied Mathematics in the University of Crete and a collaborating member of IACM-FORTH.
Currently, (since Sept. 28, 2025) I am the Acting Director of IACM-FORTH.
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I am working on wave propagation problems, mainly with asymptotic methods. On the applied side I am interested for applications in underwater acoustics, geophysics and phase-space quantum mechanics.
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Selected Articles
1. P.S.Theocaris and G.N. Makrakis, Caustics and quasi-conformality. A new method for the evaluation of stress singularities, Journal of Applied Mathematics and Physics (ZAMP), Vol. 40, pp. 410-424, 1989.
2. 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.
3. 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.
4. S. Filippas and G.N. Makrakis, Semiclassical Wigner function and geometrical optics, SIAM Multiscale Modeling & Simulation, Vol. 1, No.4, pp.674-710, 2004.
5. G.S. Piperakis, E.K. Skarsoulis and G.N. Makrakis, Rytov approximation of tomographic receptions in weakly range-dependent ocean environments, Journal of the Acoustical Society of America, Vol. 120, No. 1, pp. 120-134, 2006.
6. S.Yu Dobrokhotov, G.N. Makrakis and V.E.Nazaiksinskii, Maslov's Canonical Operator, Hormander'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, 2014.7. G.N. Makrakis (2014) Transmutation of non local boundary conditions in ocean acoustics, Applicable Analysis, Vol. 93, No. 6, pp. 1319-1326.
8. GA Athanassoulis, GN Makrakis (2020), An Unusual Wave Equation Arising in Water-Wave Theory, Differential Equations, 49-56.
9. PD Karageorge, GN Makrakis (2022) Asymptotic approximations for the phase space Schrödinger equation, Journal of Physics A: Mathematical and Theoretical 55 (34), 345201.