Journal and Conference Papers

Original Papers in Refereed Journals

  1. A Sidi, “Computation of the Chebyshev–Padי table,” J. Comp. Appl. Math., 1 (1975), pp. 69–71.
  2. A. Sidi, “On the approximation of square-integrable functions by exponential series,” J. Comp. Appl. Math., 1 (1975), pp. 229–234.
  3. A. Sidi, “Best rational function approximation to Laplace transform inversion using a window function,” J. Comp. Appl. Math., 2 (1976), pp. 187–194.
  4. A. Sidi, “Uniqueness of Pad approximants from series of orthogonal polynomials,” Math. Comp., 31 (1977), pp. 738–739.
  5. A. Sidi, “Convergence properties of some non-linear sequence transformations,” Math. Comp., 33 (1979), pp. 315–326.
  6. A. Sidi, “Some properties of a generalization of the Richardson extrapolation process,” J. Inst. Maths. Applics., 24 (1979), pp. 327–346.
  7. A. Sidi, “Some aspects of two-point Padי approximants,” J. Comp. Appl. Math., 6 (1980), pp. 9–17.
  8. A. Sidi, “Analysis of convergence of the T-transformation for power series,” Math. Comp., 35 (1980), pp. 833–850.
  9. A. Sidi, “Numerical quadrature and non-linear sequence transformations; unified rules for the efficient computation of integrals with algebraic and logarithmic end-point singularities,” Math. Comp., 35 (1980), pp. 851–874.
  10. A. Sidi, “Extrapolation methods for oscillatory infinite integrals,” J. Inst. Maths. Applics., 26 (1980), pp. 1–20.
  11. A. Sidi, “A new method for deriving Padי approximants for some hypergeometric functions,” J. Comp. Appl. Math., 7 (1981), pp. 37–40.
  12. D. Levin and A. Sidi, “Two new classes of non-linear transformations for accelerating the convergence of infinite integrals and series,” Appl. Math. Comp., 9 (1981), pp. 175–215.
  13. A. Sidi, “Interpolation at equidistant points by a sum of exponential functions,” J. Approx. Theory, 34 (1982), pp. 194–210.
  14. A. Sidi, “Numerical quadrature rules for some infinite range integrals,” Math. Comp., 38 (1982), pp. 127–142.
  15. A. Sidi, “An algorithm for a special case of a generalization of the Richardson extrapolation process,” Numer. Math., 38 (1982), pp. 299–307.
  16. A. Sidi, “The numerical evaluation of very oscillatory infinite integrals by extrapolation,” Math. Comp., 38 (1982), pp. 517–529.
  17. A. Sidi, “Converging factors for some asymptotic moment series that arise in numerical quadrature,” J. Austral. Math. Soc. (Series B), 24 (1982), pp. 223–233.
  18. A. Sidi and D. Levin, “Rational approximations from the d-transformation,” IMA J. Numer. Anal., 2 (1982), pp. 153–167.
  19. A. Sidi and D.S. Lubinsky, “On the zeros of some polynomials that arise in numerical quadrature and convergence acceleration,” SIAM J. Numer. Anal., 20 (1983), pp. 400–405.
  20. A. Sidi and D. Levin, “Prediction properties of the t-transformation,” SIAM J. Numer. Anal., 20 (1983), pp. 589–598.
  21. D.S. Lubinsky and A. Sidi, “Convergence of linear and non-linear Padי approximants from series of orthogonal polynomials,” Transactions of AMS, 278 (1983), pp. 333–345.
  22. A. Sidi, “Euler–Maclaurin expansions for integrals over triangles and squares of functions having algebraic/logarithmic singularities along and edge,” J. Approx. Theory, 39 (1983), pp. 39–53.
  23. A. Sidi and D.S. Lubinsky, “Convergence of exponential interpolation for completely bounded functions,” J. Approx. Theory, 39 (1983), pp. 185–201.
  24. A. Sidi, “Asymptotic expansion of Mellin transforms and analogs of Watson’s lemma,” SIAM J. Math. Anal., 16 (1985), pp. 896–906.
  25. A. Sidi, “Numerical evaluation of a Cauchy principal value integral that arises in a problem involving the generation of instability waves,” J. Comp. Phys., 59 (1985), pp. 388–395.
  26. A. Sidi, “Interpolation by a sum of exponential functions when some exponents are preassigned,” J. Math. Anal. Appl., 112 (1985), pp. 151–164.
  27. A. Sidi, W.F. Ford, and D.A. Smith, “Acceleration of convergence of vector sequences,” SIAM J. Numer. Anal., 23 (1986), pp. 178–196.
  28. A. Sidi, “Convergence and stability properties of minimal polynomial and reduced rank ex- trapolation algorithms,” SIAM J. Numer. Anal., 23 (1986), pp. 197–209.
  29. D.S. Lubinsky and A. Sidi, “Convergence of product integration rules for functions with interior and end-point singularities over bounded and unbounded intervals,” Math. Comp., 46 (1986), pp. 229–245.
  30. A. Sidi, “Borel summability and converging factors for some everywhere divergent series,” SIAM J. Math. Anal., 17 (1986), pp. 1222–1231.
  31. A. Sidi, C. Sulem, and P.L. Sulem, “Long time behavior of the solution of a generalized Korteweg-deVries equation,” Acta Applicandae Mathematicae, 7 (1986), pp. 35–47.
  32. A. Sidi, “Extrapolation methods for divergent oscillatory infinite integrals that are defined in the sense of summability,” J. Comp. Appl. Math., 17 (1987), pp. 105–114. (Invited paper for special issue on Numerical Integration.)
  33. D.A. Smith, W.F. Ford, and A. Sidi, “Extrapolation methods for vector sequences,” SIAM Rev., 29 (1987), pp. 199–233.
  34. W.F. Ford and A. Sidi, “An algorithm for a generalization of the Richardson extrapolation process,” SIAM J. Numer. Anal., 24 (1987), pp. 1212–1232.
  35. A. Sidi and J. Bridger, “Convergence and stability analyses for some vector extrapolation methods in the presence of defective iteration matrices,” J. Comp. Appl. Math., 22 (1988), pp. 35–61.
  36. A. Sidi, “Extrapolation vs. projection methods for linear systems of equations,” J. Comp. Appl. Math., 22 (1988), pp. 71–88.
  37. A. Sidi, “A user-friendly extrapolation method for oscillatory infinite integrals,” Math. Comp., 51 (1988), pp. 249–266.
  38. W.F. Ford and A. Sidi, “Recursive algorithms for vector extrapolation methods,” Appl. Nu- mer. Math., 4 (1988), pp. 477–489.
  39. A. Sidi and M. Israeli, “Quadrature methods for periodic singular and weakly singular Fredholm integral equations,” J. Sci. Comput., 3 (1988), pp. 201–231.
  40. A. Sidi, “On extensions of the power method for normal operators,” Linear Algebra Appl., 120 (1989), pp. 207–224.
  41. A. Sidi, “Comparison of some numerical quadrature formulas for weakly singular periodic Fredholm integral equations,” Computing, 43 (1989), pp. 159–170.
  42. A. Sidi, “Application of vector extrapolation methods to consistent singular linear systems,” Appl. Numer. Math., 6 (1989/90), pp. 487–500.
  43. A. Sidi, “On rates of acceleration of extrapolation methods for oscillatory infinite integrals,” BIT, 30 (1990), pp. 347–357.
  44. A. Sidi, “On a generalization of the Richardson extrapolation process,” Numer. Math., 57 (1990), pp. 365–377.
  45. A. Sidi, “Quantitative and constructive aspects of the generalized Koenig’s and de Montessus’s theorems for Padי approximants,” J. Comp. Appl. Math., 29 (1990), pp. 257–291.
  46. A. Sidi and W.F. Ford, “Quotient-difference type generalizations of the power method and their analysis,” J. Comp. Appl. Math., 32 (1990), pp. 261–272.
  47. A. Sidi, “Efficient implementation of minimal polynomial and reduced rank extrapolation methods,” J. Comp. Appl. Math., 36 (1991), pp. 305–337.
  48. M. Kaminski and A. Sidi, “Solution of an integer programming problem related to convergence of rows of Padי table,” Appl. Numer. Math., 8 (1991), pp. 217–223.
  49. A. Sidi, “Development of iterative techniques and extrapolation methods for Drazin inverse solution of consistent or inconsistent singular linear systems,” Linear Algebra Appl., 167 (1992), pp. 171–203.
  50. I. Bar-On and A. Sidi, “New algorithms for polynomial and trigonometric interpolation on parallel computers,” BIT, 32 (1992), pp. 464–480.
  51. A. Sidi, “Convergence of intermediate rows of minimal polynomial and reduced rank extrapolation tables,” Numer. Algorithms, 6 (1994), pp. 229–244.
  52. A. Sidi, “Rational approximations from power series of vector-valued meromorphic functions,” J. Approx. Theory, 77 (1994), pp. 89–111.
  53. D. S. Lubinsky and A. Sidi, “Strong asymptotics for polynomials biorthogonal to powers of log x,” Analysis, 14 (1994), pp. 341–379.
  54. A. Sidi, “Acceleration of convergence of (generalized) Fourier series by the d-transformation,” Annals of Numer. Math., 2 (1995), pp. 381–406.
  55. A. Sidi, “Application of vector-valued rational approximations to the matrix eigenvalue problem and connections with Krylov subspace methods,” SIAM J. Matrix Anal. Appl., 16 (1995), pp. 1341–1369.
  56. A. Sidi, “Convergence analysis for a generalized Richardson extrapolation process with an application to the d(1)-transformation on convergent and divergent logarithmic sequences,” Math. Comp., 64 (1995), pp. 1627–1657.
  57. Y. Shapira, A. Sidi, and M. Israeli, “Optimal error bounds for convergents of a family of continued fractions,” J. Math. Anal. Appl., 197 (1996), pp. 767–773.
  58. Y. Shapira, M. Israeli, and A. Sidi, “Towards automatic multigrid algorithms for SPD, non- symmetric and indefinite problems,” SIAM J. Sci. Comput., 17 (1996), pp. 439–453.
  59. A. Sidi, “Further results on convergence and stability of a generalization of the Richardson extrapolation process,” BIT, 36 (1996), pp. 143–157.
  60. A. Sidi, “Extension and completion of Wynn’s theory on convergence of columns of the epsilon table,” J. Approx. Theory, 86 (1996), pp. 21–40.
  61. T. Hasegawa and A. Sidi, “An automatic integration procedure for infinite range integrals involving oscillatory kernels,” Numer. Algorithms, 13 (1996), pp. 1–19.
  62. A. Sidi, “Computation of infinite integrals involving Bessel functions of arbitrary order by the D-transformation,” J. Comp. Appl. Math., 78 (1997), pp. 125–130.
  63. A. Sidi, “A complete convergence and stability theory for a generalized Richardson extrapolation process,” SIAM J. Numer. Anal., 34 (1997), pp. 1761–1778.
  64. J.-J. Climent, M. Neumann, and A. Sidi, “A semi-iterative method for real spectrum singular linear systems with arbitrary index,” J. Comp. Appl. Math., 87 (1997), pp. 21–38.
  65. A. Sidi, Solution to “A family of matrix problems: Problem 97-11. (Proposer: D. Givoli),” SIAM Rev., 40 (1998), pp. 718–723.
  66. A. Sidi, “Krylov subspace methods for eigenvalues with special properties and their analysis for normal matrices,” Linear Algebra Appl., 280 (1998), pp. 129–162.
  67. A. Sidi and Y. Shapira, “Upper bounds for convergence rates of acceleration methods with initial iterations,” Numer. Algorithms, 18 (1998), pp. 113–132.
  68. A. Sidi and J.A. Pennline, “Improving the accuracy of quadrature method solutions of Fredholm integral equations that arise from nonlinear two-point boundary value problems,” J. Integral Eqs. Appl., 11 (1999), pp. 103–139.
  69. A. Sidi, “A unified approach to Krylov subspace methods for Drazin-inverse solution of singular nonsymmetric linear systems,” Linear Algebra Appl., 298 (1999), pp. 99–113.
  70. Y. Shapira, M. Israeli, A. Sidi, and U. Zrahia, “Preconditioning spectral element schemes for definite and indefinite problems,” Numer. Methods Partial Differential Eqs., 15 (1999), pp. 535–543.
  71. A. Sidi, “Further convergence and stability results for the generalized Richardson extrapolation GREP(1) with an application to the D(1)-transformation for infinite integrals,” J. Comp. Appl. Math., 112 (1999), pp. 269–290. (Invited paper for the special issue: Numerical Evaluation of Integrals.)
  72. A. Sidi, “Extrapolation methods and derivatives of limits of sequences,” Math. Comp., 69 (2000), pp. 305–323.
  73. A. Sidi and D. Givoli, “Stability and accuracy of optimal local non-reflecting boundary conditions,” Appl. Numer. Math., 33 (2000), pp. 327–340.
  74. A. Sidi, “The Richardson extrapolation with a harmonic sequence of collocation points,” SIAM J. Numer. Anal., 37 (2000), pp. 1729–1746.
  75. A. Averbuch, E. Braverman, R. Coifman, M. Israeli, and A. Sidi, “Efficient computation of oscillatory integrals via adaptive multiscale local Fourier bases,” Appl. Comput. Harmonic Anal., 9 (2000), pp. 19–53.
  76. A. Sidi and V. Kluzner, “A Bi-CG type iterative method for Drazin-inverse solution of singular inconsistent nonsymmetric linear systems of arbitrary index,” ELA, 6 (1999/2000), pp. 72–94.
  77. A. Sidi, “The generalized Richardson extrapolation process GREP(1) and computation of derivatives of limits of sequences with applications to the d(1)-transformation,” J. Comp. Appl. Math., 122 (2000), pp. 251–273. (Invited paper for the special issue: Numerical Analysis 2000, Vol. II: Interpolation and Extrapolation.)
  78. A. Sidi, “DGMRES: A GMRES type algorithm for Drazin-inverse solution of singular nonsymmetric linear systems,” Linear Algebra Appl., 335 (2001), pp. 189–204.
  79. D. Levin and A. Sidi, “Extrapolation methods for infinite multiple series and integrals,” J. Comput. Methods Sci. Engrg., 1 (2001), pp. 167–184. (Invited paper for special volume.)
  80. A. Sidi, “New convergence results on the generalized Richardson extrapolation process GREP(1) for logarithmic sequences,” Math. Comp., 71 (2002), pp. 1569–1596.
  81. A. Sidi and Y. Kanevsky, “Orthogonal polynomials and semi-iterative methods for the Drazin-inverse solution of singular linear systems,” Numer. Math., 93 (2003), pp. 563–581.
  82. A. Sidi, “A convergence and stability study of the iterated Lubkin transformation and the θ-algorithm.” Math. Comp., 72 (2003), pp. 419–433.
  83. A. Sidi, “A zero-cost preconditioner for a class of indefinite linear systems.” WSEAS Transactions on Mathematics, 2 (2003), pp. 142–150.
  84. A. Sidi, “Euler–Maclaurin expansions for integrals with endpoint singularities: A new perspective.” Numer. Math., 98 (2004), pp. 371–387.
  85. A. Sidi, “A new approach to vector-valued rational interpolation.” J. Approx. Theory, 130 (2004), pp. 177–187.
  86. A. Sidi, “Analysis of Atkinson’s variable transformation for numerical integration over smooth surfaces in R3.” Numer. Math., 100 (2005), pp. 519–536.
  87. A. Sidi, “Numerical integration over smooth surfaces in R3 via class Sm variable transformations. Part I: Smooth integrands.” Appl. Math. Comp., 171 (2005), pp. 646–674.
  88. A. Sidi, “Application of class Sm variable transformations to numerical integration over surfaces of spheres.” J. Comp. Appl. Math., 184 (2005), pp. 475–492.
  89. A. Sidi, “Numerical integration over smooth surfaces in R3 via class Sm variable transformations. Part II: Singular integrands.” Appl. Math. Comp., 181 (2006), pp. 291–309.
  90. A. Sidi, “Extension of a class of periodizing variable transformations for numerical integration.” Math. Comp., 75 (2006), pp. 327–343.
  91. A. Sidi, “Unified treatment of regula falsi, Newton–Raphson, secant, and Steffensen methods for nonlinear equations.” J. Online Math. Appl., 6 (2006).
  92. A. Sidi, “Algebraic properties of some new vector-valued rational interpolants.” J. Approx. Theory, 141 (2006), pp. 142–161.
  93. A. Sidi, “A challenging test for convergence accelerators: Summation of a series with a special sign pattern.” Appl. Math. E-Notes, 6 (2006), pp. 225–234.
  94. A. Sidi, “A novel class of symmetric and nonsymmetric periodizing variable transformations for numerical integration.” J. Sci. Comput., 31 (2007), pp. 391–417.
  95. A. Sidi and D.S. Lubinsky, “Biorthogonal polynomials and numerical integration formulas for infinite intervals.” J. Numer. Anal. Indust. Appl. Math., 2 (2007), pp. 209–226.
  96. A. Sidi, “Generalization of the secant method for nonlinear equations.” Appl. Math. E-Notes, 8 (2008), pp. 115–123.
  97. A. Sidi, “Further extension of a class of periodizing variable transformations for numerical integration.” J. Comp. Appl. Math., 221 (2008), pp. 132–149.
  98. A. Sidi, “A de Montessus type convergence study for a vector-valued rational interpolation procedure.” Israel J. Math., 163 (2008), pp. 189–215.
  99. D.S. Lubinsky and A. Sidi, “Zero distribution of composite polynomials and polynomials biorthogonal to exponentials.” Constr. Approx., 28 (2008), pp. 343–371.
  100. A. Sidi, “Vector extrapolation methods with applications to solution of large systems of equations and to PageRank computations.” Comp. & Maths. with Applics. 56 (2008), pp. 1–24.
  101. A. Sidi, “A de Montessus type convergence study of a least-squares vector-valued rational interpolation procedure.” J. Approx. Theory, 155 (2008), pp. 75–96.
  102. A. Sidi, “Asymptotic expansions of Gauss–Legendre quadrature rules for integrals with endpoint singularities.” Math. Comp., 78 (2009), pp. 241–253.
  103. A. Sidi, “Variable transformations and Gauss–Legendre quadrature for integrals with endpoint singularities.” Math. Comp., 78 (2009), pp. 1593–1612.
  104. G. Rosman, L. Dascal, A. Sidi, and R. Kimmel, “Efficient Beltrami image filtering via vector extrapolation methods.” SIAM J. Imaging Sciences, 2 (2009), pp. 858–878.
  105. A. Sidi, “Asymptotic expansions of Legendre series coefficients for functions with endpoint singularities.” Asymptotic Anal., 65 (2009), pp. 175–190.
  106. D.S. Lubinsky and A. Sidi, “Positive interpolatory quadrature rules generated by some biorthogonal polynomials.” Math. Comp., 79 (2010), pp. 845–855.
  107. A. Sidi, “Asymptotic analysis of a generalized Richardson extrapolation process on linear sequences.” Math. Comp., 79 (2010), pp. 1681–1695.
  108. A. Sidi, “A de Montessus type convergence study of a least-squares vector-valued rational interpolation procedure II.” Comput. Methods Funct. Theory, 10 (2010), pp. 223–247.
  109. A. Sidi, “A simple approach to asymptotic expansions for Fourier integrals of singular functions.”Appl. Math. Comp., 216 (2010), pp. 3378–3385.
  110. A. Sidi, “Survey of numerical stability issues in convergence acceleration.” Appl. Numer. Math., 60 (2010), pp. 1395–1410.
  111. A. Sidi, “Asymptotic expansions of Legendre series coefficients for functions with interior and endpoint singularities.” Math. Comp., 80 (2011), pp. 1663–1684.
  112. A. Sidi, “Asymptotic expansion of Mellin transforms in the complex plane.” Intern. J. Pure and Appl. Math., 71 (2011), pp. 465–480.
  113. A. Sidi and P.E. Hoggan, “Asymptotics of modified Bessel functions of high order.” Intern. J. Pure and Appl. Math., 71 (2011), pp. 481–498.
  114. A. Sidi, “Acceleration of convergence of general linear sequences by the Shanks transformation.” Numer. Math., 119 (2011), pp. 725–764.
  115. A. Sidi, “Review of two vector extrapolation methods of polynomial type with applications to large-scale problems.” J. Comput. Sci., 3 (2012), pp. 92–101. (Invited paper for the special issue: Scientific Computation Methods and Applications.)
  116. A. Sidi, “A user-friendly extrapolation method for computing infinite-range integrals of products of oscillatory functions.” IMA J. Numer. Anal., 32 (2012), pp. 602–631.
  117. A. Sidi, “Euler–Maclaurin expansions for integrals with arbitrary algebraic endpoint singularities.” Math. Comp., 81 (2012), pp. 2159–2173.
  118. A. Sidi, “Euler–Maclaurin expansions for integrals with arbitrary algebraic-logarithmic endpoint singularities.” Constr. Approx., 36 (2012), pp. 331–352.
  119. A. Sidi, “Compact numerical quadrature formulas for hypersingular integrals and integral equations.” J. Sci. Comput., 54 (2013), pp. 145–176.
  120. D.S. Lubinsky and A. Sidi, “Polynomials biorthogonal to dilations of measures, and their asymptotics.” J. Math. Anal. Appl., 397 (2013), pp. 91–108.
  121. A. Sidi, D. Pinchon, and P.E. Hoggan, “Asymptotic expansions of Barnett–Coulson–Lצwdin functions of high order.” Adv. Quantum Chem., 68 (2014), pp. 43-76.
  122. A. Sidi, “Richardson extrapolation of some recent numerical quadrature formulas for singular and hypersingular integrals and its study of stability.”, J. Sci. Comput., 60 (2014), pp. 141-159.
  123. A. Sidi, “Biorthogonal polynomials and numerical quadrature formulas for some finite-range integrals with symmetric weight functions.” J. Comp. Appl. Math., 272 (2014), pp. 221-238.
  124. A. Sidi, “Analysis of errors in some recent numerical quadrature formulas for periodic singular and hypersingular integrals via regularization.” Appl. Numer. Marth., 81 (2014), pp. 30-39.
  125. D.S. Lubinsky, A. Sidi, and H. Stahl, “Asymptotic zero distribution of biothorgonal polynomials.” J. Approx. Theory, 190 (2015), pp. 26-49.
  126. A. Sidi, “SVD-MPE: An SVD-based vector extrapolation method of polynomial type.” Applied Mathematics., 7 (2016), pp. 1260–1278. (Special Issue on Applied Iterative Methods)
  127. A. Sidi, “On a vectorized version of a generalized Richardson extrapolation process.” Numer. Algorithms, 74 (2017), pp. 937–949.
  128. A. Sidi, “Minimal polynomial and reduced rank extrapolation methods are related.” Adv. Comput. Math., 43 (2017), pp. 151–170.
  129. A. Sidi, “A de Montessus type convergence study for a vector-valued rational interpolation procedure of epsilon class.” Jaen J. Approx., 9 (2017), pp. 85–104.
  130. A. Sidi, “Recent developments in asymptotic expansions from numerical analysis and approximation theory” Adv. Quantum Chem., 76 (2018), pp. 35–57.
  131. A. Sidi, “A further property of functions in class B(m): An application of Bell polynomials.” J. Math. Research, 11 (2019), pp. 1–11.
  132. A. Sidi, “A convergence study for reduced rank extrapolation on nonlinear systems.” Numer. Algorithms, 84 (2020), pp. 957–982.
  133. A. Sidi, “Acceleration of convergence of some infinite sequences {An} whose asymptotic ex-pansions involve fractional powers of n via the d˜(m) transformation.” Numer. Algorithms, 85 (2020), pp. 1409–1445.
  134. A. Sidi, “Vector versions of Prony’s algorithm and vector-valued rational approximations.” Adv. Comput. Math., 46 (2020), article number 30. (25 pages)
  135. A. Sidi, “Unified compact numerical quadrature formulas for Hadamard finite parts of singular integrals of periodic functions.” Calcolo 58 (2021), article number 22. (24 pages)
  136. A. Sidi, “Exactness and convergence properties of some recent numerical quadrature formulas for supersingular integrals of periodic functions.” Calcolo 58 (2021), article number 36. (15 pages)
  137. A. Sidi, “Application of a generalized secant method to nonlinear equations with complex roots.” Axioms, 10 (2021), article number 169. (11 pages)
  138. D.S. Lubinsky, A. Sidi, “Some biorthogonal polynomials arising in numerical analysis and approximation theory.” Journal of Computational and Applied Mathematics 403 (2022) 113842
  139. A. Sidi, “PVTSI(m): A novel approach to computation of Hadamard finite parts of nonperiodic singular integrals.” Calcolo (2022) 59:7 https://doi.org/10.1007/s10092-021-00446-1.
  140. A. Sidi, “Exponential convergence of some recent numerical quadrature methods for Hadamard finite parts of singular integrals of periodic analytic functions.” Calcolo (2022) 59:42 https://doi.org/10.1007/s10092-022-00477-2.
  141. A. Sidi, “Spectrally accurate numerical quadrature formulas for a class of periodic Hadamard Finite Part integrals by regularization.” Applied Numerical Mathematics  184 (2023) 171–196.
  142. A. Sidi, “Spectrally accurate numerical quadrature formulas for a class of algebraically singular periodic Hadamard finite part integrals by regularization.” Journal of Computational and Applied Mathematics 439 (2024) 115581.

Papers in Conference Proceedings
Original Papers in Refereed Conferences (not published elsewhere)

1.     A. Sidi, “The Padי table and its connection with some weak exponential function approximations to Laplace transform inversion,” in Padי Approximation and its Applications, Amsterdam (1980), (eds. M.G. de Bruin and H. van Rossum), pp. 352-362.

2.     G. Fainstein, A. Sidi, M. Israeli, and Y. Tsur-Lavie, “Application of boundary integral equations to the solution of stresses around a shallow circular hole,” in Proceedings of 28th U.S. Symposium in Rock Mechanics, Tucson, Arizona (1987), pp. 745-755.

3.     A. Sidi, “A new variable transformation for numerical integration,” in Numerical Integration IV, (1993), (eds. H. Brass and G. Hהmmerlin), pp. 359-373. International Series of Numerical Mathematics, No. 112, Birkhהuser, Basel, 1993.

4.     Y. Shapira, M. Israeli, and A. Sidi, “An automatic multigrid method for the solution of sparse linear systems,” in Sixth Copper Mountain Conference on Multigrid Methods, N.D. Melson, T.A. Manteuel, and S.F. McCormick (eds.), NASA Conference Publication 3224, (1993), pp. 567-582.

5.      F. Su, T. Hasegawa, and A. Sidi, “An automatic integration of in nite range integrals involving Bessel functions,” in Proceedings of 2nd WSEAS Annual Multiconference on Applied and Theoretical Mathematics, Cairns, Australia (2001), pp. 43-48.
Survey Papers in Refereed Conferences

1.     A. Sidi, “Generalizations of Richardson extrapolation with applications to numerical integration,” in Numerical Integration III, (1988), (eds. H. Brass and G. Hהmmerlin), pp. 237-250. International Series of Numerical Mathematics, No. 85, Birkhהuser, Basel, 1988.

2.     A. Sidi, “Application of extrapolation methods to numerical solution of Fredholm integral equations related to boundary value problems,” in Computational Science-ICCS 2004, 4th International Conference, Krakףv, June 2004, Proceedings, Part IV, (eds. M. Bubak, G.D. van Albada, P.M.A. Sloot, and J.J. Dongarra), pp. 402-409. Lecture Notes in Computer Science No. 3039, Springer Verlag, Berlin, 2004.