Marc PREVOST

• Professeur émérite au LMPA
• Équipe : Équations aux dérivées partielles, Modéles aléatoires et Approximation (EMA)
• Email : Marc.Prevost@univ-littoral.fr


• Laboratoire de Mathématiques Pure et Appliquées
  • Adresse :
    LMPA
    Centre Universitaire de la Mi-Voix
    50 rue Ferdinand Buisson
    CS 80699
    62228 CALAIS Cedex France
  • Bureau : B002
  • Téléphone : +33 3 21 46 55 89

34 publications

1. New convergent sequences of approximations to Stieltjes' constants (Prévost M. and Rivoal T.), In Journal of Mathematical Analysis and Applications, volume 524, 2023. [url] [doi][hal-lmpa]
2. Diagonal convergence of the remainder Padé approximants for the Hurwitz zeta function (Prévost M. and Rivoal T.), In J. Number Theory, volume 222, 2021. [url] [doi][hal-lmpa]
3. Application of Padé approximation to Euler's constant and Stirling's formula (Prévost M. and Rivoal T.), In Ramanujan J., volume 54, 2021. [url] [doi][hal-lmpa]
4. Remainder Padé approximants for hypergeometric series (Prévost M. and Rivoal T.), In Integral Transforms Spec. Funct., volume 30, 2019. [url] [doi][hal-lmpa]
5. Remainder Padé approximants for the Hurwitz zeta function (Prévost M.), In Results Math., volume 74, 2019. [url] [doi][hal-lmpa]
6. Expansion of Euler's constant in terms of zeta numbers (Elsner C. and Prévost M.), In J. Math. Anal. Appl., volume 398, 2013. [url] [doi]
7. Series involving zeta and related functions (Prévost M.), In Appl. Math. Comput., volume 217, 2011. [url] [doi]
8. Recurrence for values of the zeta function (Prévost M.), In Appl. Numer. Math., volume 60, 2010. [url] [doi]
9. Pad'e approximation and Apostol-Bernoulli and Apostol-Euler polynomials (Prévost M.), In J. Comput. Appl. Math., volume 233, 2010. [url] [doi]
10. Legendre modified moments for Euler's constant (Prévost, Marc), In J. Comput. Appl. Math., volume 219, 2008. [url] [doi]
11. International conference on approximation and iterative methods (Prévost, Marc, Redivo-Zaglia, Michela and Wielonsky, Franck), In J. Comput. Appl. Math., volume 219, 2008, Held in Lille, June 2006. [url] [doi]
12. Remainder Padé approximants for the exponential function (Prévost, Marc and Rivoal, Tanguy), In Constr. Approx., volume 25, 2007. [url] [doi][hal-lmpa]
13. Quantitative irrationality for sums of reciprocals of Fibonacci and Lucas numbers (Matala-Aho, Tapani and Prévost, Marc), In Ramanujan J., volume 11, 2006. [url] [doi]
14. Hermite-Padé approximations and Apéry's theorem (Prevo, M. and Sorokin, V. N.), In Vestnik Moskov. Univ. Ser. I Mat. Mekh., 2005.
15. Convergence acceleration of Gauss-Chebyshev quadrature formulae (Kzaz, M. and Prévost, M.), Chapter in , volume 34, 2003, International Conference on Numerical Algorithms, Vol. II (Marrakesh, 2001). [url] [doi]
16. Approximation and prediction of the numerical solution of some Burgers problems (Prévost, Marc and Vekemans, Denis), Chapter in , volume 33, 2003, International Conference on Numerical Algorithms, Vol. I (Marrakesh, 2001). [url] [doi][hal-lmpa]
17. Irrationality measures for the series of reciprocals from recurrence sequences (Matala-aho, Tapani and Prévost, Marc), In J. Number Theory, volume 96, 2002. [url] [doi]
18. Diophantine approximations using Padé approximations (Prévost, M.), Chapter in , volume 122, 2000, Numerical analysis 2000, Vol. II: Interpolation and extrapolation. [url] [doi]
19. On totally monotonic families of sequences (Mortreux, P. and Prévost, M.), In Numer. Math., volume 84, 1999. [url] [doi]
20. Partial Padé prediction (Prévost, M. and Vekemans, D.), In Numer. Algorithms, volume 20, 1999. [url] [doi][hal-lmpa]
21. On the irrationality of $\sum t^n/(A\alpha^n+B\beta^n)$ (Prevost, M.), In J. Number Theory, volume 73, 1998. [url] [doi]
22. An acceleration property of the $E$-algorithm for alternate sequences (Mortreux, P. and Prévost, M.), In Adv. Comput. Math., volume 5, 1996. [url] [doi]
23. A new proof of the irrationality of $\zeta(2)$ and $\zeta(3)$ using Padé approximants (Prévost, M.), In J. Comput. Appl. Math., volume 67, 1996. [url] [doi]
24. Rate of convergence of Padé approximants for a particular Wynn series (Prévost, M.), In Appl. Numer. Math., volume 17, 1995. [url] [doi]
25. Acceleration of some logarithmic sequences (Prévost, Marc), In J. Comput. Appl. Math., volume 55, 1994. [url] [doi]
26. Acceleration property for the $E$-algorithm and an application to the summation of series (Prévost, Marc), In Adv. Comput. Math., volume 2, 1994. [url] [doi]
27. Dirac masses determination with orthogonal polynomials and $\epsilon$-algorithm. Application to totally monotonic sequences (Prévost, Marc), In J. Approx. Theory, volume 71, 1992. [url] [doi]
28. Acceleration property for the columns of the $E$-algorithm (Matos, Ana C. and Prévost, Marc), In Numer. Algorithms, volume 2, 1992. [url] [doi]
29. Dirac masses detection in a density on $[-1,1]$ from its moments. Applications to singularities of a function (Prévost, Marc), Chapter in Orthogonal polynomials and their applications (Erice, 1990), Baltzer, Basel, volume 9, 1991.
30. Approximation of weight function and approached Padé approximants (Prévost, Marc), Chapter in , volume 32, 1990, Extrapolation and rational approximation (Luminy, 1989). [url] [doi]
31. Determinantal expression for partial Padé approximants (Prévost, Marc), In Appl. Numer. Math., volume 6, 1990. [url] [doi]
32. Stieltjes- and Geronimus-type polynomials (Prévost, Marc), In J. Comput. Appl. Math., volume 21, 1988. [url] [doi]
33. Calculation of poles of meromorphic functions with q-d, r-s and $\epsilon$-algorithms. Acceleration of these processes (Prévost, Marc), In J. Comput. Appl. Math., volume 19, 1987. [url] [doi]
34. Padé-type approximants with orthogonal generating polynomials (Prévost, Marc), In J. Comput. Appl. Math., volume 9, 1983. [url] [doi]