ΝΙΚΟΛΑΟΣ ΣΤΥΛΙΑΝΟΠΟΥΛΟΣ
ΣΤΥΛΙΑΝΟΠΟΥΛΟΣ ΝΙΚΟΛΑΟΣ
STYLIANOPOULOS NIKOS
...
PROFESSOR
Department of Mathematics and Statistics
FST 01 - Faculty of Pure and Applied Sciences
University Campus
136
22892635
22895359
www.ucy.ac.cy/~nikos

Προσωπικό Προφίλ

 

ΣΠΟΥΔΕΣ
  • Ph.D. (Μαθηματικά) Brunel University, 1990 
  • M.Sc. (Αριθμητική Ανάλυση) Brunel University, 1987
  • Πτυχίο Μαθηματικών, Πανεπιστήμιο Πατρών, 1985
 ΑΚΑΔΗΜΑΙΚΗ ΕΞΕΛΙΞΗ
  •    Καθηγητής, Πανεπιστήμιο Κύπρου, 2010-
  •    Αναπληρωτής Καθηγητης, Πανεπιστήμιο Κύπρου, 2002-2010
  •    Επισκέπτης Αναπληρωτής Καθηγητης, Πανεπιστήμιο Κρήτης , 1999 και  2007
  •    Επίκουρος Καθηγητής, Πανεπιστήμιο Κύπρου, 1996-2002
  •    Λέκτορας, Πανεπιστήμιο Κύπρου, 1993-1996
  •    Επισκέπτης Λέκτορας, Εθνικό και Καποδιστριακό Πανεπιστήμιο Αθηνών, 1992-1993
  •    Ερευνητικός Συνεργάτης, Brunel University, 1990
 ΠΡΟΣΦΑΤΕΣ ΕΠΙΣΤΗΜΟΝΙΚΕΣ ΕΠΙΤΡΟΠΕΣ
  • Διευθυντής Σεπ. 2016- Ιαν. 2017, Κέντρο Διδασκαλίας και Μάθησης, Πανεπιστήμιο Κύπρου
  • Ακαδημαϊκός Σύμβουλος 2016-2018, Ίδρυμα Ωνάση
  • Μέλος της Επιστημονικής Επιτροπής 2013-2018, Υπουργείο Παιδείας και Πολιτισμού, Κύπρος
 
ΣΥΝΤΑΚΤΙΚΕΣ ΕΠΙΤΡΟΠΕΣ
   Computational Methods and Funcion Theory
   
 ΕΡΕΥΝΗΤΙΚΑ ΠΡΟΓΡΑΜΜΑΤΑ  ΚΑΙ ΒΡΑΒΕΙΑ
  • Βραβείο Ακαδημίας Αθηνών 2014 επί θεμάτων Μαθηματικής Ανάλυσης, για την εργασία  «Strong Asymptotics for Bergman Polynomials  over Domains With Corners and Applications» http://www.tovima.gr/files/1/2014/12/vraveia%20Acadimias.pdf
  • Research in Pairs, MF Oberwolfach: "Stability of Reconstruction Algorithms from Moments", July 2016 (with B. Beckermann, M. Putinar and E. Saff)
  • Ερευνητικό Πρόγραμμα ΠK 3/311-21033, "Orthogonal Polynomials in the Complex Plane", 2013-2015
  • Ερευνητικό Πρόγραμμα ΠK 3/311-21027,  "Orthogonal Polynomials in the Complex Plane", 2010-2012
  • Research in Pairs, MF Oberwolfach: "Distribution of Zeros and Asymptotics", Jan 2011 (with Ed Saff, Herbet Stahl and Vilmos Totik)
  • Research in Pairs, MF Oberwolfach: "Strong Asymptotics and Inverse Problems", Jan 2008 (with Bjorn Gustafsson, Mihai Putinar and Ed Saff
  • Bursary, Faculty of Science, Brunel University, 1987-1988
  • Μεταπτυχιακός Υπότροφος,  ΙΚΥ Ελλάς, 1986-1990


ΜΙΓΑΔΙΚΗ ΑΝΑΛΥΣΗ
   Ορθογώνια Πολυώνυμα, Θεωρία και Εφαρμογές
   Θεωρία Προσεγγίσεως στο Μιγαδικό Επίπεδο
   Αριθμητικές Μέθοδοι για Σύμμορφες Απεικονίσεις
   Θεωρία Συμμόρφων Απεικονίσεων
   Οιονεί-Σύμμορφες Απεικονίσεις
 
ΑΡΙΘΜΗΤΙΚΗ ΑΝΑΛΥΣΗ
   Υπολογιστική Μιγαδική Ανάλυση
   Επαναληπτικές Μέθοδοι για Γραμμικά Συστήματα
   Αριθμητική Επίλυση ΜΔΕ
   Προβλήματα Ροπών
 
ΘΕΩΡΙΑ ΔΥΝΑΜΙΚΟΥ
   Αρμονικές, Υποαρμονικές, Υπεραρμονικές Συναρτήσεις
   Αντίστροφα Προβληματα Δυναμικού
   Δυναμικά και Χωρητικότητα
  
  
(Βλέπε Προσωπική Ιστοσελίδα http://www.ucy.ac.cy/~nikos για πλήρη κατάλογο. 
  • Boundary estimates for Bergman polynomials in domains with corners, Contemporary Mathematics, 661 (2016) pp. 187-198.
  • Orthogonal polynomials for area-type measures and image recovery, (with E.B. Saff, H. Stahl and V. Totik) SIAM J. Math. Anal. 47-3 (2015) pp. 2442-2463.
  • On the zeros of aymptotically extremal polynomial sequences in the plane,  (with E.B. Saff)  J. Approx. Theory 191 (2015)  pp. 118-127. 
  • Asymptotics for Hessenberg matrices for the Bergman shift operator on Jordan regions,  (with E.B. Saff)  Compl. Anal. Oper. Theory 8 (2014) no. 1 pp. 1-24.    
  • Strong asymptotics for Bergman orthogonal polynomials over domains with corners and applications, Constr. Approx. 38 (2013) pp. 59-100.
  • On finite-term recurrence relations for Bergman and Szego polynomials,  (with L. Baratchart and E.B. Saff)  Comput. Methods Func. Theory  12 (2012) no. 2, pp. 393-402.
  • Error analysis of the Bergman kernel method with singular basis functions,  (with M. Lytrides)  Comput. Methods Func. Theory 11 (2011) no. 2, pp. 487-526.
  • Numerical Conformal Mapping, (with N. Papamichael) World Scientific, ISBN: 978-981-4289-52-8,  235 pages. (July 2010.)
  • Bergman polynomials on an Archipelago: Estimates, Zeros and Shape Reconstruction, (with B. Gustafsson, M. Putinar and E.B. Saff), Adv. Math. 222 (2009) pp. 1405-1460.
  • Asymptotics for Polynomial Zeros: Beware of Predictions from Plots, (with E.B.Saff), Comput. Methods Func. Theory  8 (2008) no. 2 pp. 385-407.
  • Finite-term relations for planar orthogonal polynomials (with M. Putinar), Compl. Anal. Oper. Theory 1 (2007) no. 3 pp. 447-456.
  •  Optimal semi-iterative methods for complex SOR with results from potential theory, (with A. Hadjidimos), Numer. Math. 103 (2006) pp. 591-610.
  • Zero distribution for polynomials orthogonal with weights over certain planar regions, (with E. Mina-Diaz and E.B. Saff),  Comput. Methods Function Theory 5 (2005) no. 1, pp. 185-221.
  • Zero distribution of Bergman orthogonal polynomials for certain planar domains, (with A.L. Levin and E.B. Saff), Constr. Approx. 19 (2003) pp. 411-435.
  • L2-Approximations of power and logarithmic functions with applications to numerical conformal mapping,  (with V.V. Maymeskul and E.B. Saff), Numer. Math. 91 (2002) no. 3, pp. 503-542
  • Approximating the conformal maps of elongated quadrilaterals by domain decomposition, (with M.I. Falcao and N. Papamichael), Constr. Approx. 17 (2001) no. 4, pp. 589-617.
  • The asymptotic behaviour of conformal modules of quadrilaterals with applications to the estimation of resistance values, (with N. Papamichael) Constr. Approx.  15 (1999) pp. 109-134.
  • Approximation of conformal mappings of annular regions (with N. Papamichael, I. Pritsker and E.B. Saff), Numer. Math. 76 (1997) pp. 489-513.
  • A domain decomposition method for approximating the conformal modules of long quadrilaterals  (with N.Papamicael), Numer. Math.  62 (1992) pp. 213-234.
  • A domain decomposition method for conformal mapping onto a rectangle (with N. Papamichael), Constr. Approx. 7 (1991) pp. 349-379.
 


Profile Information

EDUCATION
  • Ph.D. (Mathematics) Brunel University, 1990
  • M.Sc. (Numerical Analysis) Brunel University, 1987
  • B.S. (Mathematics) University of Patras, 1985 
EMPLOYMENT
  • Professor, University of Cyprus, 2010-
  • Associate Professor, University of Cyprus, 2002-2010
  • Visiting Associate Professor, University of Crete, Fall 1999 and Spring 2007
  • Assistant Professor, University of Cyprus, 1996-2002
  • Lecturer, University of Cyprus, 1993-1996
  • Visiting Lecturer, University of Athens, 1992-1993
  • Research Fellow, Brunel University, 1990
RECENT APPOINTMENTS
  • Director Sep. 2016-Jan. 2017, Center for Learning and Teaching, University of Cyprus
  • Academic Advisor 2016-2018, Onnasis Foundation
  • Member of the Scientific Committee 2013-2018, Ministry of Education and Culture, Cyprus
EDITORIAL BOARDS
   Computational Methods and Function Theory
   
GRANTS AND AWARDS
  • Academy of Athens award 2014 on Mathematical Analysis 2014, for the publication «Strong Asymptotics for Bergman Polynomials over Domains With Corners and Applications»
  • Research in Pairs, MF Oberwolfach: "Stability of Reconstruction Algorithms from Moments", July 2016 (with B. Beckermann, M. Putinar and E. Saff)
  • UCY research grant 3/311-21033, "Orthogonal Polynomials in the Complex Plane", 2013-2015
  • UCY research grant 3/311-21027,  "Orthogonal Polynomials in the Complex Plane", 2010-2012
  • Research in Pairs, MF Oberwolfach: "Distribution of Zeros and Asymptotics", Jan 2011 (with Ed Saff, Herbet Stahl and Vilmos Totik)
  • Research in Pairs, MF Oberwolfach: "Strong Asymptotics and Inverse Problems", Jan 2008 (with Bjorn Gustafsson, Mihai Putinar and Ed Saff
  • Bursary, Faculty of Science, Brunel University, 1987-1988
  •  National Scholarship for Excellence, Greek State Scholarships Foundation, 1986-1990
 
 
 
 
 FUNCTION THEORY
    Orthogonal polynomials, theory and applications
    Approximation in the complex plane
    Numerical methods in conformal mapping
    General theory of conformal mapping
    Quasiconformal mapping
 
NUMERICAL ANALYSIS
    Numerical methods in complex analysis
    Iterative methods for linear systems
    Numerical solution of PDEs
    Moment problems
 
 POTENTIAL THEORY
    Potentials and capacity, extremal length
    Inverse potential problems
    Harmonic, subharmonic, superharmonic functions
   
See personal website http://www.ucy.ac.cy/~nikos for complete list of publications.
  • Boundary estimates for Bergman polynomials in domains with corners, Contemporary Mathematics, 661 (2016) pp. 187-198.
  • Orthogonal polynomials for area-type measures and image recovery, (with E.B. Saff, H. Stahl and V. Totik) SIAM J. Math. Anal. 47-3 (2015) pp. 2442-2463.
  • On the zeros of aymptotically extremal polynomial sequences in the plane, (with E.B. Saff) J. Approx. Theory 191 (2015)  pp. 118-127.    
  • Asymptotics for Hessenberg matrices for the Bergman shift operator on Jordan regions,  (with E.B. Saff)  Compl. Anal. Oper. Theory 8 (2014) no. 1 pp. 1-24.    
  • Strong asymptotics for Bergman orthogonal polynomials over domains with corners and applications, Constr. Approx. 38 (2013) pp. 59-100.
  • On finite-term recurrence relations for Bergman and Szego polynomials,  (with L. Baratchart and E.B. Saff)  Comput. Methods Func. Theory  12 (2012) no. 2, pp. 393-402.
  • Error analysis of the Bergman kernel method with singular basis functions,  (with M. Lytrides)  Comput. Methods Func. Theory 11 (2011) no. 2, pp. 487-526.
  • Numerical Conformal Mapping, (with N. Papamichael) World Scientific, ISBN: 978-981-4289-52-8,  235 pages. (July 2010.)
  • Bergman polynomials on an Archipelago: Estimates, Zeros and Shape Reconstruction, (with B. Gustafsson, M. Putinar and E.B. Saff), Adv. Math. 222 (2009) pp. 1405-1460.
  • Asymptotics for Polynomial Zeros: Beware of Predictions from Plots, (with E.B.Saff), Comput. Methods Func. Theory  8 (2008) no. 2 pp. 385-407.
  • Finite-term relations for planar orthogonal polynomials (with M. Putinar), Compl. Anal. Oper. Theory 1 (2007) no. 3 pp. 447-456.
  •  Optimal semi-iterative methods for complex SOR with results from potential theory, (with A. Hadjidimos), Numer. Math. 103 (2006) pp. 591-610.
  • Zero distribution for polynomials orthogonal with weights over certain planar regions, (with E. Mina-Diaz and E.B. Saff),  Comput. Methods Function Theory 5 (2005) no. 1, pp. 185-221
  • Zero distribution of Bergman orthogonal polynomials for certain planar domains, (with A.L. Levin and E.B. Saff), Constr. Approx. 19 (2003) pp. 411-435.
  • L2-Approximations of power and logarithmic functions with applications to numerical conformal mapping,  (with V.V. Maymeskul and E.B. Saff), Numer. Math. 91 (2002) no. 3, pp. 503-542
  • Approximating the conformal maps of elongated quadrilaterals by domain decomposition, (with M.I. Falcao and N. Papamichael), Constr. Approx. 17 (2001) no. 4, pp. 589-617.
  • The asymptotic behaviour of conformal modules of quadrilaterals with applications to the estimation of resistance values, (with N. Papamichael) Constr. Approx.  15 (1999) pp. 109-134.
  • Approximation of conformal mappings of annular regions (with N. Papamichael, I. Pritsker and E.B. Saff), Numer. Math. 76 (1997) pp. 489-513.
  • A domain decomposition method for approximating the conformal modules of long quadrilaterals  (with N.Papamicael), Numer. Math.  62 (1992) pp. 213-234.
  • A domain decomposition method for conformal mapping onto a rectangle (with N. Papamichael), Constr. Approx. 7 (1991) pp. 349-379.