Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas An optimal two-step quadratic spline collocation method for the Dirichlet biharmonic problem. (English) Zbl 1501.65138 Numer. Algorithms 91, No. 3, 1115-1143 (2022). Reviewer: Andreas Kleefeld (Jülich) MSC: 65N35 65N22 65D07 65T50 65F08 65F10 65N12 31A30 PDFBibTeX XMLCite \textit{B. Bialecki} et al., Numer. Algorithms 91, No. 3, 1115--1143 (2022; Zbl 1501.65138) Full Text: DOI
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas; Maack, Jonathan A quadratic spline collocation method for the Dirichlet biharmonic problem. (English) Zbl 1434.65290 Numer. Algorithms 83, No. 1, 165-199 (2020). MSC: 65N35 65D07 31A30 65T50 65F08 65F10 65N12 35J40 35J20 PDFBibTeX XMLCite \textit{B. Bialecki} et al., Numer. Algorithms 83, No. 1, 165--199 (2020; Zbl 1434.65290) Full Text: DOI
Bialecki, Bernard A fourth order finite difference method for the Dirichlet biharmonic problem. (English) Zbl 1256.65092 Numer. Algorithms 61, No. 3, 351-375 (2012). MSC: 65N06 65T50 65F08 65F10 35J40 PDFBibTeX XMLCite \textit{B. Bialecki}, Numer. Algorithms 61, No. 3, 351--375 (2012; Zbl 1256.65092) Full Text: DOI
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas Matrix decomposition algorithms for elliptic boundary value problems: A survey. (English) Zbl 1208.65036 Numer. Algorithms 56, No. 2, 253-295 (2011). MSC: 65F05 PDFBibTeX XMLCite \textit{B. Bialecki} et al., Numer. Algorithms 56, No. 2, 253--295 (2011; Zbl 1208.65036) Full Text: DOI
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
Abushama, Abeer Ali; Bialecki, Bernard Modified nodal cubic spline collocation for biharmonic equations. (English) Zbl 1117.65158 Numer. Algorithms 43, No. 4, 331-353 (2006). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N35 65N15 65F35 35J40 PDFBibTeX XMLCite \textit{A. A. Abushama} and \textit{B. Bialecki}, Numer. Algorithms 43, No. 4, 331--353 (2006; Zbl 1117.65158) Full Text: DOI
Bialecki, Bernard A fast solver for the orthogonal spline collocation solution of the biharmonic Dirichlet problem on rectangles. (English) Zbl 1032.65134 J. Comput. Phys. 191, No. 2, 601-621 (2003). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N35 35J40 65T50 65F10 65F35 PDFBibTeX XMLCite \textit{B. Bialecki}, J. Comput. Phys. 191, No. 2, 601--621 (2003; Zbl 1032.65134) Full Text: DOI
Bialecki, Bernard; Karageorghis, Andreas A Legendre spectral Galerkin method for the biharmonic Dirichlet problem. (English) Zbl 0986.65115 SIAM J. Sci. Comput. 22, No. 5, 1549-1569 (2001). Reviewer: Gerald W.Hedstrom (Pleasanton) MSC: 65N35 65F10 65F35 35J40 74K20 74S25 PDFBibTeX XMLCite \textit{B. Bialecki} and \textit{A. Karageorghis}, SIAM J. Sci. Comput. 22, No. 5, 1549--1569 (2000; Zbl 0986.65115) Full Text: DOI
Bialecki, Bernard; Karageorghis, Andreas A Legendre spectral collocation method for the biharmonic Dirichlet problem. (English) Zbl 0984.65121 M2AN, Math. Model. Numer. Anal. 34, No. 3, 637-662 (2000). Reviewer: W.Heinrichs (Essen) MSC: 65N35 35J40 65F10 65F35 65N22 PDFBibTeX XMLCite \textit{B. Bialecki} and \textit{A. Karageorghis}, M2AN, Math. Model. Numer. Anal. 34, No. 3, 637--662 (2000; Zbl 0984.65121) Full Text: DOI EuDML
Lou, Zhou-Ming; Bialecki, Bernard; Fairweather, Graeme Orthogonal spline collocation methods for biharmonic problems. (English) Zbl 0908.65103 Numer. Math. 80, No. 2, 267-303 (1998). Reviewer: G.Hedstrom (Livermore) MSC: 65N35 65N15 35J40 31A30 PDFBibTeX XMLCite \textit{Z.-M. Lou} et al., Numer. Math. 80, No. 2, 267--303 (1998; Zbl 0908.65103) Full Text: DOI