Georgios Akrivis, Professor Department of Computer Science and Engineering University of Ioannina Ioannina Greece, GR-45110 Tel: +30-26510-08800 Email: akrivis (at) cs.uoi.gr

Γεώργιος Ακρίβης, Καθηγητής Τμήμα Μηχανικών Η/Υ και Πληροφορικής Πανεπιστήμιο Ιωαννίνων Ιωάννινα 45110 Τηλ. 26510-08800 Email: akrivis (at) cs.uoi.gr

Teaching / Διδασκαλία

• Υπολογιστικά Μαθηματικά (Computational Mathematics)
• Εισαγωγή στην Αριθμητική Ανάλυση (Introduction to Numerical Analysis)

Education / Σπουδές

B.Sc. University of Ioannina, Greece, 1973
Ph.D. University of Munich, Germany, 1983
Πτυχίο Μαθηματικών, Πανεπιστήμιο Ιωαννίνων, 1973
Διδακτορικό, Πανεπιστήμιο Μονάχου, 1983

Research Interests / Ερευνητικά Ενδιαφέροντα

Numerical methods for partial differential equations.
Αριθμητικές μέθοδοι για μερικές διαφορικές εξισώσεις.

Recent Publications / Πρόσφατες Δημοσιεύσεις

• G. Akrivis, E. H. Georgoulis: Implicit-explicit multistep methods for nonlinear convection-diffusion equations. PDF
• G. Akrivis, D.T. Papageorgiou, Y.S. Smyrlis: On the analyticity of certain dispersive-dissipative systems. Bull. London Math. Soc. 45 (2013) 52-60. PDF
• G. Akrivis: Implicit-explicit multistep methods for nonlinear parabolic equations. Math. Comp. 82 (2013) 45-68. PDF
• G. Akrivis, D.T. Papageorgiou, Y.S. Smyrlis: Computational study of the dispersively modified Kuramoto-Sivashinsky equation. SIAM J. Scientific Computing 34 (2012) A792-A813. PDF
• G. Akrivis, Ch. Makridakis, R.H. Nochetto: Galerkin and Runge-Kutta methods: Unified formulation, a posteriori error estimates and nodal superconvergence. Numer. Math. 118 (2011) 429-456. PDF
• G. Akrivis, Y.S. Smyrlis: Linearly implicit schemes for a class of dispersive-dissipative systems. Calcolo 48 (2011) 145-172. PDF
• G. Akrivis, D.T. Papageorgiou, Y.S. Smyrlis: Linearly implicit methods for a semilinear parabolic system arising in two-phase flows. IMA J. Numer. Anal. 31 (2011) 299-321. PDF
• G. Akrivis, P. Chatzipantelidis: A posteriori error estimates for the two-step backward differentiation formula method for parabolic equations. SIAM J. Numer. Anal. 48 (2010) 109-132. PDF
• G. Akrivis, Ch. Makridakis, R.H. Nochetto: Optimal order a posteriori error estimates for a class of Runge-Kutta and Galerkin methods. Numer. Math. 114 (2009) 133-160. PDF
• G. Akrivis, Ch. Makridakis, R.H. Nochetto: A posteriori error estimates for the Crank-Nicolson method for parabolic equations. Math. Comp. 75 (2006) 511-531. PDF
• G. Akrivis, S. Larsson: Linearly implicit finite element methods for the time-dependent Joule heating problem. BIT Numer. Math. 45 (2005) 429-442. PDF
• G. Akrivis, Y. S. Smyrlis: Implicit-explicit BDF methods for the Kuramoto-Sivashinsky equation. Appl. Numer. Math. 51 (2004) 151-169. PDF
• G. Akrivis, Ch. Makridakis: Galerkin time-stepping methods for nonlinear parabolic equations. Math. Mod. Numer. Anal. 38 (2004) 261-289. PDF
• G. Akrivis, M. Crouzeix: Linearly implicit methods for nonlinear parabolic equations. Math. Comp. 73 (2004) 613-635. PDF
• G. Akrivis, F. Karakatsani: Modified BDF methods for nonlinear parabolic equations. BIT Numer. Math. 43 (2003) 467-483. PDF
• G. Akrivis, O. Karakashian, F. Karakatsani: Linearly implicit methods for nonlinear evolution equations. Numer. Math. 94(2003) 403-418. PDF
• G.D. Akrivis, V.A. Dougalis, O.A. Karakashian, W.R. McKinney: Numerical approximation of blow-up of radially symmetric solutions of the nonlinear Schroedinger equation. SIAM J. Scientific Computing 25 (2003) 186-212. PDF
• G.D. Akrivis, V.A. Dougalis, G. E. Zouraris: Finite difference schemes for the `parabolic' equation in a variable depth environment with a rigid bottom boundary condition. SIAM J. Numer. Anal. 39 (2001) 539-565. PDF
• G. Akrivis, M. Crouzeix, Ch. Makridakis: Implicit-explicit multistep methods for quasilinear parabolic equations. Numer. Math. 82 (1999) 521-541. PDF
• G. Akrivis: Finite difference methods for a wide-angle "parabolic" equation. SIAM J. Numer. Anal. 36 (1999) 317-329. PDF
• G. Akrivis, M. Crouzeix, Ch. Makridakis: Implicit-explicit multistep finite element methods for nonlinear parabolic problems. Math. Comp. 68 (1998) 457-477. PDF
• G. Akrivis, V.A. Dougalis, O. Karakashian: Solving the systems of equations arising in the discretization of some nonlinear p.d.e.'s by implicit Runge-Kutta methods. Math. Mod. Numer. Anal. 31 (1997) 251-287.
• G.D. Akrivis, V.A. Dougalis, G.E. Zouraris: Error estimates for finite difference methods for the wide-angle "parabolic" equation. SIAM J. Numer. Anal. 33 (1996) 2488-2509. PDF
• G. Akrivis: High-order finite element methods for the Kuramoto-Sivashinsky equation. Math. Mod. Numer. Anal. 30 (1996) 157-183.

Books (in Greek) / Βιβλία

• G.D. Akrivis, V.A. Dougalis: Introduction to Numerical Analysis. Crete University Press, Heraklion, 1997 (fourth edition: 2010, second printing: 2013).
  Γ.Δ. Ακρίβης, Β.Α. Δουγαλής: Εισαγωγή στην Αριθμητική Ανάλυση. Πανεπιστημιακές Εκδόσεις Κρήτης, Ηράκλειο, 1997 (τέταρτη έκδοση: 2010, δεύτερη ανατύπωση: 2013).
• G.D. Akrivis, V.A. Dougalis: Numerical Methods for Ordinary Differential Equations. Crete University Press, Heraklion, 2006. (second edition: 2013).
  Γ.Δ. Ακρίβης, Β.Α. Δουγαλής: Αριθμητικές Μέθοδοι για Συνήθεις Διαφορικές Εξισώσεις. Πανεπιστημιακές Εκδόσεις Κρήτης, Ηράκλειο, 2006. (δεύτερη έκδοση: 2013).
  
• G.D. Akrivis, N.D. Alikakos: Partial Differential Equations. Synchroni Ekdotiki, Athens, 2012.
  Γ.Δ. Ακρίβης, Ν.Δ. Αλικάκος: Μερικές Διαφορικές Εξισώσεις. Σύγχρονη Εκδοτική, Αθήνα, 2012.