L.M.P.A
Laboratoire de Mathématiques Pures et Appliquées
Joseph Liouville

Marc Prévost

  • Grade : Professeur
  • Equipe : Approximation
  • Adresse :
    LMPA
    Centre Universitaire de la Mi-Voix
    50 rue F. Buisson
    CS80699
    62228 Calais
  • Bureau : B002
  • Email : Marc.Prevost@lmpa.univ-littoral.fr
  • Téléphone : +33 3 21 46 55 89

Publications

Articles de revues

  1. Expansion of Euler's constant in terms of zeta numbers ( and ), In J. Math. Anal. Appl., volume 398, . [pdf]
  2. Series involving zeta and related functions (), In Appl. Math. Comput., volume 217, . [pdf]
  3. Recurrence for values of the zeta function (), In Appl. Numer. Math., volume 60, . [pdf]
  4. Padé approximation and Apostol-Bernoulli and Apostol-Euler polynomials (), In J. Comput. Appl. Math., volume 233, . [pdf]
  5. Legendre modified moments for Euler's constant (), In J. Comput. Appl. Math., volume 219, . [pdf]
  6. International conference on approximation and iterative methods (, and ), In J. Comput. Appl. Math., volume 219, . [pdf]
  7. Remainder Padé approximants for the exponential function ( and ), In Constr. Approx., volume 25, . [pdf]
  8. Quantitative irrationality for sums of reciprocals of Fibonacci and Lucas numbers ( and ), In Ramanujan J., volume 11, . [pdf]
  9. Hermite-Padé approximations and Apéry's theorem ( and ), In Vestnik Moskov. Univ. Ser. I Mat. Mekh., .
  10. Convergence acceleration of Gauss-Chebyshev quadrature formulae ( and ), In Numer. Algorithms, volume 34, . [pdf]
  11. Approximation and prediction of the numerical solution of some Burgers problems ( and ), In Numer. Algorithms, volume 33, . [pdf]
  12. Irrationality measures for the series of reciprocals from recurrence sequences ( and ), In J. Number Theory, volume 96, . [pdf]
  13. Diophantine approximations using Padé approximations (), In J. Comput. Appl. Math., volume 122, . [pdf]
  14. On totally monotonic families of sequences ( and ), In Numer. Math., volume 84, . [pdf]
  15. Partial Padé prediction ( and ), In Numer. Algorithms, volume 20, . [pdf]
  16. An acceleration property of the $E$-algorithm for alternate sequences ( and ), In Adv. Comput. Math., volume 5, . [pdf]
  17. A new proof of the irrationality of $\zeta(2)$ and $\zeta(3)$ using Padé approximants (), In J. Comput. Appl. Math., volume 67, . [pdf]
  18. Rate of convergence of Padé approximants for a particular Wynn series (), In Appl. Numer. Math., volume 17, . [pdf]
  19. Acceleration of some logarithmic sequences (), In J. Comput. Appl. Math., volume 55, . [pdf]
  20. Acceleration property for the $E$-algorithm and an application to the summation of series (), In Adv. Comput. Math., volume 2, . [pdf]
  21. Dirac masses determination with orthogonal polynomials and $\epsilon$-algorithm. Application to totally monotonic sequences (), In J. Approx. Theory, volume 71, . [pdf]
  22. Acceleration property for the columns of the $E$-algorithm ( and ), In Numer. Algorithms, volume 2, . [pdf]
  23. Approximation of weight function and approached Padé approximants (), In J. Comput. Appl. Math., volume 32, . [pdf]
  24. Determinantal expression for partial Padé approximants (), In Appl. Numer. Math., volume 6, . [pdf]
  25. Stieltjes- and Geronimus-type polynomials (), In J. Comput. Appl. Math., volume 21, . [pdf]
  26. Calculation of poles of meromorphic functions with q-d, r-s and $\epsilon$-algorithms. Acceleration of these processes (), In J. Comput. Appl. Math., volume 19, . [pdf]
  27. Padé-type approximants with orthogonal generating polynomials (), In J. Comput. Appl. Math., volume 9, . [pdf]

Chapitres de livres

  1. Dirac masses detection in a density on $[-1,1]$ from its moments. Applications to singularities of a function (), Chapter in Orthogonal polynomials and their applications (Erice, 1990), Baltzer, volume 9, .

Rapports

  1. Series associated with the zeta and related functions (), Technical report, LMPA, .
  2. Recurrence for values of the zeta function (), Technical report, LMPA, . [pdf]
  3. Padé Approximation and Apostol-Bernoulli and -Euler Polynomials (), Technical report, LMPA, . [pdf]
  4. Short and Lacunary Linear Recurrence Relations for Bernoulli Numbers (), Technical report, LMPA, .
  5. Expansion of Euler's Constant in Terms of Zeta Numbers (), Technical report, LMPA, . [pdf]
  6. Legendre modified moments for Euler's constant (), Technical report, LMPA, . [pdf]
  7. Hermite-Padé Approximants and Apery Theorem ( and ), Technical report, LMPA, . [pdf]
  8. A Family of Criteria for Irrationality of Euler's Constant (), Technical report, LMPA, .
  9. Remainder Padé Approximants for the Exponential Function ( and ), Technical report, LMPA, . [pdf]
  10. Convergence acceleration of Gauss-Chebyshev quadrature formulae ( and ), Technical report, LMPA, .
  11. Quantitative irrationality for series containing arithmetical forms ( and ), Technical report, LMPA, .
  12. Approximation and prediction of the numerical solution of some Burgers problems ( and ), Technical report, LMPA, .
  13. Irrationality measures for the series of reciprocals from recurrence sequences ( and ), Technical report, LMPA, .
  14. Diophantine approximations using Padé approximations (), Technical report, LMPA, .

Agenda