Dr Nikolaos S. Christodoulou
Doctor of Philosophy in Mathematics
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INTERNATIONAL JOURNALS

1. Christodoulou N.S., "An Algorithm Using Runge-Kutta Methods of Order 4 and 5 for Systems of ODES". International Journal of Numerical Methods and Applications, Vol 2: 47-57, (2009)
2. Christodoulou N.S., "Derivation of a Necessary Condition to Stop Merging or Crossing of Trajectories in Numerical Simulations". Advances In Differential Equations & Control Processes, Vol 2: 113-133, (2008)
3. Christodoulou N.S., "Bifurcation and Spurious Solutions Using Numerical Methods". Advances In Differential Equations & Control Processes, Vol 2: 99-112, (2008)
4. Christodoulou N.S., "Discrete Hopf Bifurcation for Runge-Kutta Methods". Applied Mathematics and Computation, Vol 206: 346-356 (2008)
5. A.R. Humphries and N.S Christodoulou. "Phase Space Error Control for Dynamical Systems II". University of Sussex, Centre for Mathematical Analysis and its Applications Research Report no CMAIA00-13 (2000).

Ph.D. THESIS

1. Nikolaos S. Christodoulou, "Fixed and Variable Time-Stepping Numerical Methods for Dynamical Systems", Ph.D. Thesis, University of Sussex, 2002. Advisor: Prof. Antony Raymond Humphries

CITATION INDEX (Ετεροαναφορές σε Δημοσιεύσεις)

1. Humphries, A.R, Vigneswaran, R, "Phase Space Stability Error Control with Variable Time-stepping Runge-Kutta Methods for Dynamical Systems", Appl. Num. Anal. Comp. Math. 1, No. 3, 469-488, (2004).
2. Vigneswaran, R, "An error control with Variable Time-Stepping RK methods for Dynamical systems", INCAAM, 440-443, (2004).
3. Fenton, P., "The Dynamics of Variable Time-Stepping Runge-Kutta Methods." Ph.D. Thesis, Centre for Mathematical Analysis and its Applications, University of Sussex, Uk (2002)

Ηλεκτρονικό Ταχυδρομείο

 

Υπεύθυνος Ιστοσελίδας: Δρ Νικόλαος Στ. Χριστοδούλου 2008-2009