Bialecki, Bernard; Karageorghis, Andreas Spectral Chebyshev collocation for the Poisson and biharmonic equations. (English) Zbl 1217.65213 SIAM J. Sci. Comput. 32, No. 5, 2995-3019 (2010). MSC: 65N35 35J05 35J40 65F10 65F08 PDFBibTeX XMLCite \textit{B. Bialecki} and \textit{A. Karageorghis}, SIAM J. Sci. Comput. 32, No. 5, 2995--3019 (2010; Zbl 1217.65213) Full Text: DOI
Bialecki, Bernard; Karageorghis, Andreas Spectral Chebyshev-Fourier collocation for the Helmholtz and variable coefficient equations in a disk. (English) Zbl 1151.65093 J. Comput. Phys. 227, No. 19, 8588-8603 (2008). MSC: 65N35 65N12 35J05 PDFBibTeX XMLCite \textit{B. Bialecki} and \textit{A. Karageorghis}, J. Comput. Phys. 227, No. 19, 8588--8603 (2008; Zbl 1151.65093) Full Text: DOI
Karageorghis, Andreas; Kyza, Irene Efficient algorithms for approximating particular solutions of elliptic equations using Chebyshev polynomials. (English) Zbl 1164.65506 Commun. Comput. Phys. 2, No. 3, 501-521 (2007). MSC: 65N35 35J05 35J40 PDFBibTeX XMLCite \textit{A. Karageorghis} and \textit{I. Kyza}, Commun. Comput. Phys. 2, No. 3, 501--521 (2007; Zbl 1164.65506)
Karageorghis, Andreas; Paprzycki, Marcin Conditioning of pseudospectral matrices for certain domain decompositions. (English) Zbl 0955.65089 J. Sci. Comput. 14, No. 1, 107-119 (1999). Reviewer: R.P.Tewarson (Stony Brook) MSC: 65N35 65F05 65F35 65N55 35J25 35J40 PDFBibTeX XMLCite \textit{A. Karageorghis} and \textit{M. Paprzycki}, J. Sci. Comput. 14, No. 1, 107--119 (1999; Zbl 0955.65089) Full Text: DOI
Karageorghis, A.; Sivaloganathan, S. Conforming spectral approximations for non-conforming domain decompositions. (English) Zbl 0943.65149 Comput. Methods Appl. Mech. Eng. 156, No. 1-4, 299-308 (1998). MSC: 65N55 65N35 35J25 35J40 PDFBibTeX XMLCite \textit{A. Karageorghis} and \textit{S. Sivaloganathan}, Comput. Methods Appl. Mech. Eng. 156, No. 1--4, 299--308 (1998; Zbl 0943.65149) Full Text: DOI
Cyphers, Cliff; Paprzycki, Marcin; Karageorghis, Andreas High performance solution of partial differential equations discretized using a Chebyshev spectral collocation method. (English) Zbl 0854.65101 J. Comput. Appl. Math. 69, No. 1, 71-80 (1996). Reviewer: P.K.Mahanti (Ranchi) MSC: 65N35 65Y20 PDFBibTeX XMLCite \textit{C. Cyphers} et al., J. Comput. Appl. Math. 69, No. 1, 71--80 (1996; Zbl 0854.65101) Full Text: DOI
Karageorghis, Andreas; Tang, Tao A spectral domain decomposition approach for steady Navier-Stokes problems in circular geometries. (English) Zbl 0892.76064 Comput. Fluids 25, No. 6, 541-549 (1996). MSC: 76M25 76D05 PDFBibTeX XMLCite \textit{A. Karageorghis} and \textit{T. Tang}, Comput. Fluids 25, No. 6, 541--549 (1996; Zbl 0892.76064) Full Text: DOI
Karageorghis, Andreas Conforming spectral methods for Poisson problems in cuboidal domains. (English) Zbl 0822.65091 J. Sci. Comput. 9, No. 3, 341-350 (1994). Reviewer: W.Heinrichs (Düsseldorf) MSC: 65N35 35J05 PDFBibTeX XMLCite \textit{A. Karageorghis}, J. Sci. Comput. 9, No. 3, 341--350 (1994; Zbl 0822.65091) Full Text: DOI
Karageorghis, Andreas A conforming spectral technique for biharmonic-type problems in rectangular domains. (English) Zbl 0805.65108 J. Comput. Appl. Math. 51, No. 2, 275-278 (1994). Reviewer: S.K.Rangarajan (Madras) MSC: 65N35 65N55 35J40 31A30 PDFBibTeX XMLCite \textit{A. Karageorghis}, J. Comput. Appl. Math. 51, No. 2, 275--278 (1994; Zbl 0805.65108) Full Text: DOI
Karageorghis, A. Satisfaction of boundary conditions for Chebyshev collocation methods in cuboidal domains. (English) Zbl 0802.65114 Comput. Math. Appl. 27, No. 12, 85-90 (1994). MSC: 65N35 31B30 35J05 35J40 PDFBibTeX XMLCite \textit{A. Karageorghis}, Comput. Math. Appl. 27, No. 12, 85--90 (1994; Zbl 0802.65114) Full Text: DOI
Karageorghis, Andreas On the equivalence between basis recombination and boundary bordering formulations for spectral collocation methods in rectangular domains. (English) Zbl 0809.65108 Math. Comput. Simul. 35, No. 6, 513-524 (1993). Reviewer: G.Stoyan (Budapest) MSC: 65N35 35J25 35J40 PDFBibTeX XMLCite \textit{A. Karageorghis}, Math. Comput. Simul. 35, No. 6, 513--524 (1993; Zbl 0809.65108) Full Text: DOI
Karageorghis, Andreas Conforming Chebyshev spectral methods for Poisson problems in rectangular domains. (English) Zbl 0784.65083 J. Sci. Comput. 8, No. 2, 123-133 (1993). Reviewer: W.Heinrichs (Düsseldorf) MSC: 65N35 65N55 35J05 PDFBibTeX XMLCite \textit{A. Karageorghis}, J. Sci. Comput. 8, No. 2, 123--133 (1993; Zbl 0784.65083) Full Text: DOI
Raad, Peter E.; Karageorghis, Andreas A Chebyshev spectral collocation method for the solution of the Reynolds equation of lubrication. (English) Zbl 0769.76052 J. Comput. Phys. 106, No. 1, 42-51 (1993). MSC: 76M25 76D08 65N35 PDFBibTeX XMLCite \textit{P. E. Raad} and \textit{A. Karageorghis}, J. Comput. Phys. 106, No. 1, 42--51 (1993; Zbl 0769.76052) Full Text: DOI
Karageorghis, A.; Sivaloganathan, S. A Chebyshev spectral collocation method for the computation of buoyancy- induced flows. (English) Zbl 0769.76046 Appl. Math. Comput. 55, No. 2-3, 297-308 (1993). MSC: 76M25 76R10 80A20 65N35 PDFBibTeX XMLCite \textit{A. Karageorghis} and \textit{S. Sivaloganathan}, Appl. Math. Comput. 55, No. 2--3, 297--308 (1993; Zbl 0769.76046) Full Text: DOI
Karageorghis, Andreas; Phillips, Timothy N. On the coefficients of differentiated expansions of ultraspherical polynomials. (English) Zbl 0748.65063 Appl. Numer. Math. 9, No. 2, 133-141 (1992). Reviewer: K.Najzar (Praha) MSC: 65L10 65D20 65L60 33C55 34B05 PDFBibTeX XMLCite \textit{A. Karageorghis} and \textit{T. N. Phillips}, Appl. Numer. Math. 9, No. 2, 133--141 (1992; Zbl 0748.65063) Full Text: DOI
Karageorghis, Andreas The numerical solution of laminar flow in a re-entrant tube geometry by a Chebyshev spectral element collocation method. (English) Zbl 0825.76607 Comput. Methods Appl. Mech. Eng. 100, No. 3, 339-358 (1992). MSC: 76M25 76D05 65N35 PDFBibTeX XMLCite \textit{A. Karageorghis}, Comput. Methods Appl. Mech. Eng. 100, No. 3, 339--358 (1992; Zbl 0825.76607) Full Text: DOI
Karageorghis, Andreas; Phillips, Timothy N. Conforming Chebyshev spectral collocation methods for the solution of laminar flow in a constricted channel. (English) Zbl 0709.76039 IMA J. Numer. Anal. 11, No. 1, 33-54 (1991). MSC: 76D10 76M25 65N35 PDFBibTeX XMLCite \textit{A. Karageorghis} and \textit{T. N. Phillips}, IMA J. Numer. Anal. 11, No. 1, 33--54 (1991; Zbl 0709.76039) Full Text: DOI Link
Karageorghis, Andreas A note on the satisfaction of the boundary conditions for Chebyshev collocation methods in rectangular domains. (English) Zbl 0751.65063 J. Sci. Comput. 6, No. 1, 21-26 (1991). Reviewer: H.Marcinkowska (Wrocław) MSC: 65N35 76S05 31A30 35J05 PDFBibTeX XMLCite \textit{A. Karageorghis}, J. Sci. Comput. 6, No. 1, 21--26 (1991; Zbl 0751.65063) Full Text: DOI
Phillips, Timothy N.; Karageorghis, Andreas On the coefficients of integrated expansions of ultraspherical polynomials. (English) Zbl 0701.33007 SIAM J. Numer. Anal. 27, No. 3, 823-830 (1990). Reviewer: M.Idemen MSC: 33C45 65L10 PDFBibTeX XMLCite \textit{T. N. Phillips} and \textit{A. Karageorghis}, SIAM J. Numer. Anal. 27, No. 3, 823--830 (1990; Zbl 0701.33007) Full Text: DOI
Karageorghis, Andreas; Phillips, Timothy N. Chebyshev spectral collocation methods for laminar flow through a channel contraction. (English) Zbl 0677.76025 J. Comput. Phys. 84, No. 1, 114-133 (1989). MSC: 76D05 65Z05 65N35 PDFBibTeX XMLCite \textit{A. Karageorghis} and \textit{T. N. Phillips}, J. Comput. Phys. 84, No. 1, 114--133 (1989; Zbl 0677.76025) Full Text: DOI
Phillips, Timothy N.; Karageorghis, Andreas Efficient direct methods for solving the spectral collocation equations for Stokes flow in rectangularly decomposable domains. (English) Zbl 0665.76039 SIAM J. Sci. Stat. Comput. 10, No. 1, 89-103 (1989). MSC: 76D07 65N35 PDFBibTeX XMLCite \textit{T. N. Phillips} and \textit{A. Karageorghis}, SIAM J. Sci. Stat. Comput. 10, No. 1, 89--103 (1989; Zbl 0665.76039) Full Text: DOI
Phillips, Timothy N.; Karageorghis, Andreas Chebyshev collocation methods for the solution of the incompressible Navier-Stokes equations in complex geometries. (English) Zbl 0653.76021 Numerical methods for fluid dynamics III, Proc. 3rd. Conf., Oxford/UK 1988, Inst. Math. Appl. Conf. Ser., New Ser. 17, 500-506 (1988). MSC: 76D05 76M99 PDFBibTeX XML
Karageorghis, Andreas A note on the Chebyshev coefficients of the general order derivative of an infinitely differentiable function. (English) Zbl 0642.65011 J. Comput. Appl. Math. 21, No. 1, 129-132 (1988). Reviewer: J.N.Lyness MSC: 65D25 65N35 PDFBibTeX XMLCite \textit{A. Karageorghis}, J. Comput. Appl. Math. 21, No. 1, 129--132 (1988; Zbl 0642.65011) Full Text: DOI
Karageorghis, Andreas A note on the Chebyshev coefficients of the moments of the general order derivative of an infinitely differentiable function. (English) Zbl 0639.65012 J. Comput. Appl. Math. 21, No. 3, 383-386 (1988). Reviewer: G.Ya.Seliger MSC: 65D25 65L60 42C10 PDFBibTeX XMLCite \textit{A. Karageorghis}, J. Comput. Appl. Math. 21, No. 3, 383--386 (1988; Zbl 0639.65012) Full Text: DOI
Karageorghis, A.; Phillips, T. N.; Davies, A. R. Spectral collocation methods for the primary two-point boundary value problem in modelling viscoelastic flows. (English) Zbl 0637.76008 Int. J. Numer. Methods Eng. 26, No. 4, 805-813 (1988). MSC: 76A10 76M99 PDFBibTeX XMLCite \textit{A. Karageorghis} et al., Int. J. Numer. Methods Eng. 26, No. 4, 805--813 (1988; Zbl 0637.76008) Full Text: DOI
Karageorghis, Andreas Chebyshev spectral methods for solving two-point boundary value problems arising in heat transfer. (English) Zbl 0636.65083 Comput. Methods Appl. Mech. Eng. 70, No. 1, 103-121 (1988). Reviewer: A.Karageorghis MSC: 65L10 34B15 34L99 65L60 PDFBibTeX XMLCite \textit{A. Karageorghis}, Comput. Methods Appl. Mech. Eng. 70, No. 1, 103--121 (1988; Zbl 0636.65083) Full Text: DOI
Davis, A. R.; Karageorghis, A.; Phillips, T. N. Spectral Galerkin methods for the primary two-point boundary value problem in modelling viscoelastic flows. (English) Zbl 0635.73091 Int. J. Numer. Methods Eng. 26, No. 3, 647-662 (1988). MSC: 74S30 65L15 76A10 65L10 65L60 74D05 74D10 34L99 PDFBibTeX XMLCite \textit{A. R. Davis} et al., Int. J. Numer. Methods Eng. 26, No. 3, 647--662 (1988; Zbl 0635.73091) Full Text: DOI