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Maria Carmela De Bonis

Researcher in Numerical Analysis - SSD Mat/08

List of Publications

  1. De Bonis M.C.: An algorithm for the evaluation of two-dimensional Hilbert transform, Journal of Electrotechnics and Mathematics (Pristina), 4 (1999), 1-34.
  2. De Bonis M.C.: An algorithm for the evaluation of two-dimensional Hilbert transform with non-standard weight functions, Facta Universitatis (Nis), Ser. Math. Inform. 14 (1999), no. 14, 109-134.
  3. De Bonis M.C., Russo M.G.: Computation of the Cauchy principal value integrals on the real line, Proceedings of the ``Workshop on Advanced Special Functions and Applications", Melfi (PZ), Italy, 9-12 May 1999, eds. D. Cocolicchio, G. Dattoli and H.M. Srivastava (ARACNE, Rome) 2000, 197-210.
  4. De Bonis M.C., Della Vecchia B., Mastroianni G.: Approximation of the Hilbert transform on the real line using Hermite zeros, Mathematics of Computation, 71 (2002), no. 239, 1169-1188.
  5. De Bonis M.C., Della Vecchia B., Mastroianni G.: Approximation of the Hilbert transform on the real semiaxis using Laguerre zeros, Proceedings of the 9th International Congress on Computational and Applied Mathematics (Leuven, 2000), Journal of Computation and Applied Mathematics, 140 (2002), no. 1-2, 209-229. doi: 10.1016/S0377-0427(01)00529-5.
  6. De Bonis M.C., Mastroianni G., Viggiano M.: K-functionals, Moduli of Smoothness and Weighted Best Approximation on the semiaxis, Functions, Series, Operators (L. Leindler, F. Schipp, J. Szabados, eds.) Janos Bolyai Mathematical Society, Budapest, Hungary, Alexits Memorial Conference (2002), 181-211.
  7. De Bonis M.C., Mastroianni G., Russo M.G.: Polynomial approximation with special doubling weights, Acta Scientiarum Mathematicarum (Szeged), 69 (2003), no. 1-2, 159-184.
  8. De Bonis M.C., Mastroianni G.: Some simple quadrature rules for evaluating the Hilbert transform on the real line, Archives of Inequalities and Applications, 1 (2003), no. 3-4, 475-494.
  9. De Bonis M.C., Frammartino C., Mastroianni G.: Numerical methods for some special Fredholm integral equations on the real line, Proceedings of the 10th International Congress on Computational and Applied Mathematics (ICCAM-2002), Journal of Computation and Applied Mathematics, 164/165, (2004), 225-243. doi: 10.1016/S0377-0427(03)00652-6.
  10. Cvetkovic A., De Bonis M.C.: Projection methods for Cauchy singular integral equations on the bounded intervals, Facta Universitatis (Nis), Ser. Math. Inform., Special Issue dedicated to Prof. Giuseppe Mastroianni for his 65th birthday, 19 (2004), 123-144.
  11. De Bonis M.C., Mastroianni G.: Mapping properties of some singular operators in Besov type subspaces of C(-1,1), Integral Equations Operator Theory, 55 (2006), no. 3, 387-413. doi: 10.1007/s00020-005-1396-y.
  12. De Bonis M.C., Mastroianni G.: Projection methods and condition numbers in uniform norm for Fredholm and Cauchy singular integral equations, SIAM Journal on Numerical Analysis, 44 (2006), no. 4, 1351-1374. doi: 10.1137/050626934.
  13. De Bonis, M.C., Laurita, C.: Numerical treatment of second kind Fredholm integral equations systems on bounded intervals, Journal of Computational and Applied Mathematics, 217 (2008), no. 1, 64-87. doi: 10.1016/j.cam.2007.06.014.
  14. De Bonis, M.C., Laurita, C.: Nyström methods for Cauchy singular integral equations. A survey, Riv. Mat. Univ. Parma (7), 8 (2008), 139-169.
  15. De Bonis, M.C., Mastroianni, G.: Nyström method for systems of integral equations on the real semiaxis, IMA Journal of Numerical Analysis, 29 (2009), no. 3, 632-650. doi: 10.1093/imanum/drn035.
  16. De Bonis, M.C., Laurita, C.: Nyström method for Cauchy Singular Integral Equations with negative index, Journal of Computational and Applied Mathematics, 232 (2009), no. 2, 523-538. doi: 10.1016/j.cam.2009.06.028.
  17. De Bonis, M.C., Pastore, P.: A quadrature formula for integrals of highly oscillatory functions, Rendiconti del Circolo di Matematico di Palermo Serie II, Suppl. 82 (2010), 279-303
  18. De Bonis, M.C., Mastroianni, G.: Direct methods for CSIE in weighted Zygmund spaces with uniform norm, Riv. Mat. Univ. Parma., Vol. 2 (2011), 29-55
  19. De Bonis, M.C., Mastroianni, G., Notarangelo, I.: Gaussian quadrature rules with exponential weights on (-1,1), Numerische Mathematik, 120 (2012), no.3, 433-464. doi: 10.1007/s00211-011-0417-9.
  20. De Bonis, M.C., Laurita, C.: A quadrature method for systems of Cauchy Singular Integral Equations, to appear in Journal of Integral Equations and Applications.