Sidi, Avram Exponential convergence of some recent numerical quadrature methods for Hadamard finite parts of singular integrals of periodic analytic functions. (English) Zbl 07618952 Calcolo 59, No. 4, Paper No. 42, 24 p. (2022). MSC: 65-XX 41A55 41A60 45B05 45E05 65B15 65D30 65D32 PDFBibTeX XMLCite \textit{A. Sidi}, Calcolo 59, No. 4, Paper No. 42, 24 p. (2022; Zbl 07618952) Full Text: DOI
Sidi, Avram \(\text{PVTSI}^{(m)}\): a novel approach to computation of Hadamard finite parts of nonperiodic singular integrals. (English) Zbl 1510.65054 Calcolo 59, No. 1, Paper No. 7, 36 p. (2022). MSC: 65D32 65D30 41A55 41A60 65B15 PDFBibTeX XMLCite \textit{A. Sidi}, Calcolo 59, No. 1, Paper No. 7, 36 p. (2022; Zbl 1510.65054) Full Text: DOI
Sidi, Avram Correction to: “Unified compact numerical quadrature formulas for Hadamard finite parts of singular integrals of periodic functions”. (English) Zbl 1477.65053 Calcolo 58, No. 2, Paper No. 27, 1 p. (2021). MSC: 65D30 41A55 41A60 PDFBibTeX XMLCite \textit{A. Sidi}, Calcolo 58, No. 2, Paper No. 27, 1 p. (2021; Zbl 1477.65053) Full Text: DOI
Sidi, Avram Unified compact numerical quadrature formulas for Hadamard finite parts of singular integrals of periodic functions. (English) Zbl 1472.65031 Calcolo 58, No. 2, Paper No. 22, 24 p. (2021); correction ibid. 58, No. 2, Paper No. 27, 1 p. (2021). MSC: 65D30 41A55 41A60 PDFBibTeX XMLCite \textit{A. Sidi}, Calcolo 58, No. 2, Paper No. 22, 24 p. (2021; Zbl 1472.65031) Full Text: DOI arXiv
Sidi, Avram PVTSI\(^{\boldmath(m)}\): A Novel Approach to Computation of Hadamard Finite Parts of Nonperiodic Singular Integrals. arXiv:2102.06476 Preprint, arXiv:2102.06476 [math.NA] (2021). MSC: 41A55 41A60 45B05 45E05 65B05 65B15 65D30 65D32 BibTeX Cite \textit{A. Sidi}, ``PVTSI$^{\boldmath(m)}$: A Novel Approach to Computation of Hadamard Finite Parts of Nonperiodic Singular Integrals'', Preprint, arXiv:2102.06476 [math.NA] (2021) Full Text: arXiv OA License
Sidi, Avram Richardson extrapolation on some recent numerical quadrature formulas for singular and hypersingular integrals and its study of stability. (English) Zbl 1300.41018 J. Sci. Comput. 60, No. 1, 141-159 (2014). MSC: 41A55 41A60 65B05 65B15 PDFBibTeX XMLCite \textit{A. Sidi}, J. Sci. Comput. 60, No. 1, 141--159 (2014; Zbl 1300.41018) Full Text: DOI
Sidi, Avram Variable transformations and Gauss-Legendre quadrature for integrals with endpoint singularities. (English) Zbl 1209.65031 Math. Comput. 78, No. 267, 1593-1612 (2009). Reviewer: Antonio López-Carmona (Granada) MSC: 65D32 65B15 41A60 41A55 PDFBibTeX XMLCite \textit{A. Sidi}, Math. Comput. 78, No. 267, 1593--1612 (2009; Zbl 1209.65031) Full Text: DOI
Sidi, Avram Asymptotic expansions of Gauss-Legendre quadrature rules for integrals with endpoint singularities. (English) Zbl 1198.65048 Math. Comput. 78, No. 265, 241-253 (2009). MSC: 65D30 41A55 41A60 PDFBibTeX XMLCite \textit{A. Sidi}, Math. Comput. 78, No. 265, 241--253 (2009; Zbl 1198.65048) Full Text: DOI
Sidi, Avram Asymptotic expansions of Legendre series coeffcieints for functions with endpoint singularities. (English) Zbl 1181.41049 Asymptotic Anal. 65, No. 3-4, 175-190 (2009). MSC: 41A55 41A60 65D30 PDFBibTeX XMLCite \textit{A. Sidi}, Asymptotic Anal. 65, No. 3--4, 175--190 (2009; Zbl 1181.41049) Full Text: DOI
Sidi, Avram Further extension of a class of periodizing variable transformations for numerical integration. (English) Zbl 1161.65019 J. Comput. Appl. Math. 221, No. 1, 132-149 (2008). Reviewer: Ana-Maria Acu (Sibiu) MSC: 65D32 40A25 41A60 65B15 41A55 PDFBibTeX XMLCite \textit{A. Sidi}, J. Comput. Appl. Math. 221, No. 1, 132--149 (2008; Zbl 1161.65019) Full Text: DOI
Sidi, Avram Analysis of Atkinson’s variable transformation for numerical integration over smooth surfaces in \(\mathbb R^{3}\). (English) Zbl 1082.65030 Numer. Math. 100, No. 3, 519-536 (2005). MSC: 65D32 65B15 41A55 30E15 40A25 41A60 65D30 PDFBibTeX XMLCite \textit{A. Sidi}, Numer. Math. 100, No. 3, 519--536 (2005; Zbl 1082.65030) Full Text: DOI
Sidi, Avram Euler-Maclaurin expansions for integrals with endpoint singularities: A new perspective. (English) Zbl 1081.65003 Numer. Math. 98, No. 2, 371-387 (2004). Reviewer: J. N. Lyness (Argonne) MSC: 65B15 30E15 40A25 41A60 65D32 41A55 PDFBibTeX XMLCite \textit{A. Sidi}, Numer. Math. 98, No. 2, 371--387 (2004; Zbl 1081.65003) Full Text: DOI
Sidi, Avram Computation of oscillatory infinite integrals by extrapolation methods. (English) Zbl 0758.65016 Numerical integration. Recent developments, software and applications, Proc. NATO Adv. Res. Workshop, Bergen/Norw. 1991, NATO ASI Ser., Ser. C 357, 349-351 (1992). Reviewer: J.N.Lyness (Argonne) MSC: 65D32 41A55 65-02 41A60 65B05 PDFBibTeX XMLCite \textit{A. Sidi}, in: Numerical integration. Recent developments, software and applications. Proceedings of the NATO advanced research workshop, Bergen, Norway, June 17-22, 1991. . 349--351 (1992; Zbl 0758.65016)
Sidi, Avram The numerical evaluation of very oscillatory infinite integrals by extrapolation. (English) Zbl 0508.65011 Math. Comput. 38, 517-529 (1982). MSC: 65D32 41A55 65B05 41A60 PDFBibTeX XMLCite \textit{A. Sidi}, Math. Comput. 38, 517--529 (1982; Zbl 0508.65011) Full Text: DOI
Sidi, Avram Converging factors for some asymptotic moment series that arise in numerical quadrature. (English) Zbl 0508.65010 J. Aust. Math. Soc., Ser. B 24, 223-233 (1982). MSC: 65D32 41A55 40A30 40A05 41A60 PDFBibTeX XMLCite \textit{A. Sidi}, J. Aust. Math. Soc., Ser. B 24, 223--233 (1982; Zbl 0508.65010) Full Text: DOI
Sidi, Avram Numerical quadrature and nonlinear sequence transformations; unified rules for efficient computation of integrals with algebraic and logarithmic endpoint singularities. (English) Zbl 0441.41021 Math. Comput. 35, 851-874 (1980). MSC: 41A55 65D32 41-04 41A20 40A05 40A25 41A60 PDFBibTeX XMLCite \textit{A. Sidi}, Math. Comput. 35, 851--874 (1980; Zbl 0441.41021) Full Text: DOI