Publications
- Perturbations of Christoffel-Darboux kernels: Detection of outliers,
(with B. Beckermann, M. Putinar, E.B. Saff)
Found. Comput. Math.
21 no. 3 (2021) pp. 71�124
arXiv
(PDF)
- Relative Asymptotics of Orthogonal Polynomials for Perturbed Measures,
(with E.B. Saff)
Mat. Sb.
209 no. 3 (2018) pp. 168�188
arXiv
(PDF)
- Bergman orthogonal polynomials and the Grunsky matrix,
(with B. Beckermann)
(Constr. Approx.)
47 no. 2 (2018) pp. 211�235.
arXiv
(PDF)
- Boundary estimates for Bergman polynomials in domains with corners,
Contemporary Mathematics,
661 (2016) pp. 187-198.
(PDF)
- 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.
(PDF)
- On the zeros of asymptotically extremal polynomial sequences in the plane,
(with E.B. Saff)
J. Approx. Theory 191 (2015) pp. 118-127.
(PDF)
- 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.
(PDF)
- Strong asymptotics for Bergman orthogonal polynomials over domains with corners and applications,
Constr. Approx.
38 (2013) pp. 59-100.
(PDF)
- 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.
(PDF)
- 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.
(PDF)
- Strong asymptotics for Bergman orthogonal polynomials over non-smooth domains,
C. R. Acad. Sci. Paris, Ser. I
348 (2010) pp. 21-24.
(PDF)
- Recurrence relations for orthogonal polynomials and algebraicity of solutions
of the Dirichlet problem,
(with D. Khavinson),
Around the Research of Vladimir Maz'ya II S, Partial Differential Equations
(2009) Springer, pp. 219-228.
(PDF)
- 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.
(PDF)
- Les polynomes orthogonaux de Bergman sur un archipel,
(with B. Gustafsson, M. Putinar and E.B.Saff),
C. R. Math. Acad. Sci. Paris
346 (2008) no. 9-10, pp. 499-502.
(PDF)
- Asymptotics for Polynomial Zeros: Beware of Predictions from Plots,
(with E.B.Saff),
Comput. Methods Func. Theory
8 (2008) no. 2 pp. 385-407.
(PDF)
- Finite-term relations for planar orthogonal polynomials
(with M. Putinar),
Compl. Anal. Oper. Theory
1 (2007) no. 3 pp. 447-456.
(PDF)
- Optimal semi-iterative methods for complex SOR with results from potential theory,
(with A. Hadjidimos),
Numer. Math.
103 (2006) pp. 591-610.
(PDF)
- Open problems in constructive function theory,
(with L. Baratchart, et al.),
ETNA
25 (2006) pp. 511-525.
(PDF)
- Zero distribution for polynomials orthogonal with weights over certain planar
regions,
(with E. Mina-Diaz and E.B. Saff),
Comput. Methods Func. Theory
5 (2005) no. 1, pp. 185-221.
(PDF)
- 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.
(PDF)
- A uniform estimate for the modulus of continuity of starlike mappings,
(with E. Wegert),
Ann. Univ. Mariae Curie-Sklodowska Sect. A
LVI, 10 (2002) pp. 97-103.
(PDF)
- 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.
( PDF)
- Approximating the conformal maps of elongated quadrilaterals by
domain decomposition,
(with M.I. Falcao and N. Papamichael),
Constr. Approx.
17 (2001), pp. 589-617.
(
PDF )
- Curvilinear crosscuts of subdivision for domain decomposition in
numerical conformal mapping,
(with M.I. Falcao and N. Papamichael).
J. Comput. Appl. Math. 106 (1999) pp. 177-196.
(
PDF)
- 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.
(
PDF)
- Approximation of conformal mappings of annular regions
(with N. Papamichael, I. Pritsker and E.B. Saff),
Numer. Math. 76 (1997) pp. 489-513.
(
PDF)
- A numerical conformal mapping method for harmonic mixed boundary
value problems,
(with A. Karageorghis and H.A. Zachariades),
J. Scientific Comput. 11 (1996) pp. 167-178.
(PDF)
- Domain decomposition for conformal maps,
(with N. Papamichael), pp. 267-291 of: R.M. Ali, St. Ruscheweyh
and E.B. Saff (Eds),
Computational Methods and Function Theory 1994,
World Scientific (1995).
(PDF)
- On the theory and application of a domain decomposition method
for computing conformal modules,
(with N. Papamichael),
J. Comput. Appl. Math. 50 (1994) pp. 33-50.
(PDF)
- A numerical method for the computation of Faber polynomials for
starlike domains,
(with N. Papamichael and M.J. Soares),
I.M.A. J. Numer. Anal. 13 (1993) pp. 181-193.
(PDF)
- A domain decomposition method for approximating the conformal
modules of long quadrilaterals,
(with N.Papamicael),
Numer. Math. 62 (1992) pp. 213-234.
(PDF)
- A domain decomposition method for conformal mapping onto a rectangle,
(with N. Papamichael),
Constr. Approx. 7 (1991) pp. 349-379.
(PDF)
- On the numerical performance of a domain decomposition method
for conformal mapping
(with N. Papamichael), pp. 155-169 of: St. Ruscheweyh,
E.B. Saff, L.C. Salinas and R.S. Varga (Eds),
Computational Methods and Function Theory,
Lecture Notes in Mathematics, 1435 Springer-Verlag (1990).
(PDF)
- On a domain decomposition method for the computation of conformal modules
(with N. Papamichael),
Appl. Math. Lett. 1 no. 3 (1988), pp. 277-280.
(PDF)
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