Curriculum vitæ - Laboratoire Paul Painlevé

Curriculum vitæ - Laboratoire Paul Painlevé

Curriculum vitæ
Date and place of birth:
Citizenship:
Actual position:
Phone office:
Electronic address:
Dr. habil. Bernhard Beckermann
Oct 17, 1961 in Lohne, Federal Republic of Germany
german
married, three children
Associate Professor at the Laboratoire Painlevé UMR 8524,
UFR Mathématiques – M3, UST Lille
59655 Villeneuve d’Ascq CEDEX, France
+33 3 20 43 45 62
[email protected],
URL http://math.univ-lille1.fr/∼bbecker/
Research interests:
• Numerical linear algebra and logarithmic potential theory: singular values of structured matrices,
superlinear convergence of the conjugate gradient method, applications to numerical analysis for PDEs.
• Constructive approximation in the complex plane: difference operators, Jacobi matrices,
convergence of rational approximants, applications to discrete dynamical systems and crack detection.
• Numerics, computer algebra: look-ahead methods, semi-numerical computations, computation of
matrix-valued rational approximants, fraction–free computations, normal forms, implementation in Maple.
Education:
B.Sc. (“Diplom”) in Mathematics, Universität Hannover, Germany (1987).
Ph.D. (“Dr. rer. nat.”) in Mathematics, Universität Hannover, Germany (1989).
Habilitation in Mathematics, Universität Hannover, Germany (1996).
Awards:
10/87 – 10/89 : Scholarship (“Graduiertenförderung”) of the Region of Lower Saxony, Germany.
1990 : Award “Wissenschaftspreis Hannover”.
since 1996 : Grant PEDR, minister of higher education, France.
Employment history:
7/80 – 9/81 : military service.
10/83 – 7/87 : Tutor (“Wissenschaftliche Hilfskraft”), Institut für Angewandte Mathematik,
Universität Hannover, Germany.
9/87 – 1/88 : Lecturer, Fachhochschule Nordost-Niedersachsen, Fachbereich Bauingenieurwesen,
Suderburg, Germany.
1/90 – 8/93 : Lecturer (“Wissenschaftlicher Mitarbeiter”), Institut für Angewandte Mathematik,
Universität Hannover, Germany.
2/92 – 7/92 : Visiting assistant professor (“Maı̂tre de Conférences invité”), Université de Toulon
et du Var, France.
9/93 – 8/06 : Assistant professor (“Maı̂tre de Conférences”), Laboratoire d’Analyse Numérique
et d’Optimisation (now Laboratoire Painlevé UMR 8524), Université des Sciences et Technologies
de Lille, France.
since 9/06 : Associate professor (“Professeur des Universités”), Laboratoire de Mathématiques
Painlevé UMR 8524, Université des Sciences et Technologies de Lille, France.
1
Principal academic visits: (since 1998)
Keldeysh Institute, Russian Academy of Sciences, Moscow, and Technical State University of
Nishnii Novgorod, Russia (1998, two weeks).
Technische Universität Bergakademie Freiberg, Germany (1998, two weeks).
Universidad de Almerı́a, Spain (1999, two weeks).
MU Lübeck and Universität Kiel, Germany (2000, two weeks).
KU Leuven, Belgium (2001, two weeks).
Steklov Institute, Russian Academy of Sciences, Moscow, and Technical State University of
Nishnii Novgorod, Russia (2002, two weeks).
University of Waterloo, Ontario, Canada (2002, four weeks).
KU Leuven, Belgium(2002, two weeks).
Università dell’Insubria, Como, Italy (2003, one week).
University of Stanford, California (2005, one week).
Steklov Institute, Russian Academy of Sciences, Moscow, Russia (2006, one week).
Technische Universität Bergakademie Freiberg, Germany (2007, two weeks).
2
Invited talks in mathematical seminars: (since 1998)
Steklov Institut in Moscow, Universität GH Paderborn, TU Chemnitz, TU Bergakademie
Freiberg, INRIA Sophia Antipolis (1998). Universidad de Almeria, Universidad de Granada,
Université de Bourgogne in Dijon (1999). Université du Littoral, MU Lübeck, Universität Kiel
(2000). INRIA Sophia Antipolis, Université de Valenciennes, Université de Rennes (2001). Institute of Numerical Mathematics (INM) of the Russian Academie of Sciences, Moscow(2002).
Universität Hannover (2003). University of Stanford (2005). Universität Trier, Steklov Institut
and INM in Moscow, Université de Fribourg (2006). TU Bergakademie Freiberg (2007). ETH
Zürich (2008). INRIA Rocquencourt (2009).
Talks at scientific conferences: (since 2000)
Conference “Workshop Orthogonal Polynomials”, Inzell, Conference “ICCAM”, Leuven, Conference “Matrix iterative analysis and biorthogonality”, Luminy (2000). Conference “Approximation and Optimization in the Caribbean”, Guatemala City, Conference “Computational Methods
and Function Theory”, Aveiro, Conference “Numerical algorithms”, Marrakesh (2001). Conference “Latzis Symposium Conjugate Gradients”, Zürich, Meeting INTAS, Coimbra, Conference “GAMM–Workshop Bielefeld” (2002). Meeting INTAS, Moscou, Conference “Orthogonal
polynomials and special functions”, Kopenhague (2003). Lecture at summer school “Orthogonal polynomials and applications”, Madrid, Conference “Structured Numerical Linear Algebra Problems”, Cortona (2004). Conference “CIMMA05”, Almeria, Conference “SMAI’05”,
Evian, Meeting INTAS, Nishnii Novgorod et Moscou, “Journée Scientifique AFA”, Paris (2005),
“Journées matrices structurées”, Limoges, Conference ”Applied Linear Algebra”, Düsseldorf,
Conference “ICNAAM”, Crete (2006). Conference “Orthogonal polynomials and special functions”, Marseille, Conference “Computational Methods with Applications”, Harrachov, Conference “Matrix Analysis and Applications”, Luminy (2007). Conference “Foundations of Computational Mathematics”, Honkong, Conference “Structured Matrices”, Cortona, Conference “Approximation, Modélisation Géométrique et Applications”, Luminy, Conference “Rolling Waves”,
Leuven, (2008).
Conference organization:
• Journée Approximation, Meeting Université de Lille, March 16, 2000.
• Numerical Algorithms, Conference Marrakech, Morroco, Oct 1–5, 2001.
• Deuxième Journée Approximation, Meeting Université de Lille, March 25, 2004.
• Quelques Applications des mathématiques, Meeting on industrial applications of mathematics,
Lille, Jan 27, 2005.
• Special session Approximation, Special Functions and Numerical Analysis at the International
Mediterranean Congress of Mathematics Almerı́a 2005, University of Almerı́a, June 6-11, 2005.
• Session Analyse numérique et Approximation, SMAI 2005, Evian, June 20-25, 2005.
• Les Métiers des mathématiques, Meeting on job offers in mathematics, Lille, Dec 8, 2005.
• Transgressive Computation, Conference Granada, April 24-26, 2006 (scientific committee).
• Constructive Complex Approximation, Conference INTAS, Université de Lille, 27-30 Mai, 2006.
• Approximation et Méthodes Itératives, Conference Université de Lille, April 22-23, 2006
• Orthogonal polynomials, special functions and applications (OPSFA VII), Conference CIRM,
July 2-6, 2007 (scientific committee).
• Troisièmes Journées Approximation, Meeting Université de Lille, May 15-16, 2008.
• Approximation, Modélisation Géométrique et Applications, Conference CIRM, Nov 24-28, 2008.
3
Graduate student supervision:
• PhD students: E. Bourreau (started 9/96, defense 5/02), H. Zourhlal (started 9/97, stopped
7/99), M. Inglart (started 9/01, stopped 7/06), A. Gryson (started 9/06, defense 7/09).
• Co-supervision PhD students: A. Konnonova and M. Lapik, in the frame of the french-russian
echange program “Formation Recherche”.
• Master thesis (“mémoire de DEA”): D. Brocard (2/95–6/95), E. Bourreau (2/96–6/96), H.
Zourhlal (2/97–6/97), R. Harmouani (2/02–9/02), M. Ali Abdouramane (2/07-6/07).
• Supervision of numerous projects (first and second year of Master) and of four training courses
in a company (Airbus France Méaulte, Crédit Agricole, FINAREF, ALTAO).
Member PhD committees:
Olivier Renault (Université de Lille 1, 1996), Frédéric Mandréa (referee, Université de Nice,
2001), Mirta Castro Smirnova (referee, Universidad de Sevilla, 2002), Emmanuel Bourreau (Université de Lille 1, 2002), Octave Moutsinga (Université de Lille 1, 2003), Reinhold Küstner (referee, Université de Nice, 2003), Jonathan Coussement (KU Leuven, 2005), Christophe Roland
(Université de Lille 1, 2005), Paola Boito (referee, Scuola Normale Superiora, Pisa, 2007),
Mouhamad Al Sayed Ali (referee, Université de Brest, 2007), Hédi Joulak (Université de Lille 1,
2007), Philippe Auquiert (Université Valenciennes, 2007), Alexis Gryson (Université de Lille 1,
2008), Xianglan Yang (Universiteit Antwerp, 2008).
Referee for scientific journals:
Numerische Mathematik, J. Comput. Applied Mathematics, SIAM J. Matrix Anal. Appl., Numer. Algo., Constr. Approx., J. Approx. Theory, Applicandæ Mathematicæ, Transactions on
Mathematical Software, Linear Alg. Appl., Proc. Edinburgh Math. Soc., J. Math. Anal. Appl.,
ETNA, Mediterranean J. of Math., Intern. J. of Control, Math. Comp., ISSAC Proceedings.
Research projects with financial support: (since 1997)
• French-russian training network “Réseau Formation Recherche” (Moscow, Nishnii Novgorod,
Russia – Rouen, Toulon, Lille, France) 1997–2000 and 2001-2005.
• French-german-russian university network (Moscow, Nishnii Novgorod, Russia – Lübeck, Hannover, Germany – Rouen, Lille, France), 2001–2003.
• French-Flanders bilateral programm Tournesol “Iterative methods in scientific computing: convergence analysis and applications” (Leuven – Lille), 2002 and 2003.
• “Rational approximation”, Research project INTAS 2000-272 of the European Union (Leuven,
Belgium – Moscow, Nishnii Novgorod, Russia – Madrid, Granada, Spain – Coimbra, Portugal –
Berlin, Germany – Lille, France), 2001-2004.
• “Constructive Complex Approximation”, Research network INTAS 03-51-6637 of the European
Union (Leuven, Belgium – Moscow, Nishnii Novgorod, Russia – Kharkov, Ukraine – Madrid,
Granada, Spain, Coimbra, Portugal – Szeged, Hungria – Berlin, Germany – Lille, France), 20042007.
• Summer school network “Orthogonal polynomials and special functions”, Sokrates/Erasmus
(Linz, Leuven, Aachen, Kopenhague, Madrid, Almeria, Lille, Patras, Aveiro, Porto), 2002-2004.
• “Density functionals of quantum mechanical systems and theory of special functions”
(Granada, Almeria, Leuven, Lille), Research project of the Ministerio de Ciencia y Tecnologa
(MCYT), Spain, 2002-2005.
• French-polish bilateral programm Polonium “Complex analysis and potential theory” (Kraków
– Lille), 2008.
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Head of different teaching programs:
• 7/1999-6/2005: in charge of the second year Master/DEA program “Mathématiques Appliquées” (15 students in 2000, 24 in 2001, 15 in 2002, 15 in 2003, 14 in 2004) since its creation
in 1999. This university program federates teachers and researchers from three universities in
France (USTL, ULCO, UVHC), see http://math.univ-lille1.fr/∼bbecker/ano/deaMA
• 7/1999-6/2005: head of graduate studies committee in Applied Mathematics, Lille.
• since 9/2005: in charge of the first year Master program “Ingénierie Mathématique” (17 students in 2005, 27 in 2006, 37 in 2007) in Lille, see http://www.univ-lille1.fr/math/M1pro/
Administrative committees:
• Member of steering committee “Laboratoire de Mathématiques Appliquées” (2001–2003).
• Member of steering committee “Axe Mathématiques”, UST Lille (2001–2006).
• Member of the mathematics department affairs committee (since 2007).
• Member of applied mathematics hiring committees (“commissions de spécialistes”): Université Grenoble (1998-2001), Université Littoral (1998-2001), Université Lille 1 (1995-1997, 20012007).
• Member of applied mathematics hiring committees (“comités de sélection”): INSA Rouen
(2009), Université de Lille 1 (2009, président).
Lezennes, Dec 11, 2009
5
Publications
Papers in mathematical journals with referee process (54)
1. B. Beckermann, A. Gryson, Extremal rational functions on symmetric discrete sets and superlinear convergence of the ADI method, Université de Lille (2008), to appear in Constructive
Approximation (2010).
2. B. Beckermann, L. Reichel, Error estimation and evaluation of matrix functions via the Faber
transform, Université de Lille (2008), to appear in SIAM J. Numer. Anal. (2010).
3. C. Badea, B. Beckermann, M. Crouzeix, Intersections of several disks of the Riemann sphere as
K-spectral sets, Commun. Pure Appl. Anal. 8(2009) 37–54.
4. H. Joulak, B. Beckermann, On Gautschi’s conjecture for generalized Gauss-Radau and GaussLobatto formulae, J. Comput. Appl. Math. 233 (2009) 768-774.
5. B. Beckermann, L. Reichel, The Arnoldi process and GMRES for nearly symmetric matrices,
SIAM J. Matrix Anal. Appl. 30 (2008) 102-120.
6. B. Beckermann, A.C. Matos, F. Wielonsky, Reduction of the Gibbs phenomenon for smooth
functions with jumps by the -algorithm, J. Comput. Appl. Math. 219 (2008), 329-349.
7. B. Beckermann, M. Crouzeix, Operators with numerical range in a conic domain, Archiv der
Mathematik 88 (2007) 547-559.
8. B. Beckermann, S. Serra Capizzano, On the asymptotic spectrum of Finite Element matrix
sequences, SIAM J. Numer. Anal. 45 (2007) 746-769.
9. B. Beckermann, G. Golub, G. Labahn, On the numerical condition of a generalized Hankel
eigenvalue problem, Numer. Mathematik 106 (2007) 41-68.
10. B. Beckermann, Discrete orthogonal polynomials and superlinear convergence of Krylov subspace methods in numerical linear algebra, in Orthogonal Polynomials and Special Functions, F.
Marcellan, W. Van Assche (Eds.), Lecture Notes in Mathematics 1883, Springer Verlag (2006),
119-185.
11. B. Beckermann, M. Crouzeix, A lenticular version of a von Neumann inequality, Archiv der
Mathematik 86 (2006) 352-355.
12. B. Beckermann, Image numérique, GMRES et polynômes de Faber, C. R. Acad. Sci. Paris, Ser.
I 340 (2005) 855-860.
13. B. Beckermann, S.A. Goreinov, E.E. Tyrtyshnikov : Some remarks on the Elman estimate for
GMRES, SIAM J. Matrix Anal. Appl. 27 (2006) 772-778.
14. B. Beckermann, H. Cheng, G. Labahn : Fraction-free Row Reduction of Matrices of Ore Polynomials, J. Symbolic Computation 41 (2006) 513-543.
15. B. Beckermann, J. Coussement, W. Van Assche : Multiple Wilson and Jacobi-Piñeiro polynomials, J. Approx. Theory 132 (2005) 155-181.
16. B. Beckermann, A. Martinez, E. Rakhmanov, F. Wielonsky : Asymptotic upper bounds for the
entropy of orthogonal polynomials in the Szegő class, J. Math. Physics 45 (2004) 4239-4254.
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17. C. Roland, B. Beckermann, C. Brezinski : Altman’s methods revisited, Applicationes Mathematicæ 31 (2004) 353-368.
18. B. Beckermann, M. Castro, On the determinacy of complex Jacobi matrices, Math. Scand. 95
(2004), 285-298.
19. B. Beckermann, A. Osipov, Some spectral properties of infinite band matrices, Numerical Algorithms 34 (2003) 173-185.
20. B. Beckermann, G. Labahn, G. Villard : Normal Forms for General Polynomial Matrices, J.
Symbolic Computation 41(2006) 708-737.
21. B. Beckermann, A.B.J. Kuijlaars : Superlinear CG convergence for special right-hand sides,
Electr. Trans. Num. Anal. 14 (2002) 1-19.
22. B. Beckermann, A.B.J. Kuijlaars : On the sharpness of an asymptotic error estimate for Conjugate Gradients, BIT 41 (2001), 856–867.
23. B. Beckermann, M. Castro, V. Kaliaguine : A recurrence relation connected to the convergence
of vector S-fractions, East Journal on Approximations 7 (2001) 287-313.
24. B. Beckermann, A.B.J. Kuijlaars : Superlinear Convergence of Conjugate Gradients, SIAM J.
Num. Anal. 39 (2001) 300-329.
25. B. Beckermann : Complex Jacobi matrices, J. Comput. Appl. Math. 127 (2001) 17-65.
26. B. Beckermann, G. Labahn : Fraction-free Computation of Matrix Rational Interpolants and
Matrix GCD’s, SIAM J. Matrix Anal. Appl. 22 (2000) 114-144.
27. B. Beckermann, G. Labahn : Numeric and symbolic computation of problems defined by structured linear systems, Reliable Computing 6 (2000) 365-390.
28. B. Beckermann : On a conjecture of E.A. Rakhmanov, Constructive Approximation 16 (2000)
427-448.
29. B. Beckermann : The Condition Number of real Vandermonde, Krylov and positive definite
Hankel matrices, Numer. Math. 85 (2000) 553-577.
30. B. Beckermann : On the convergence of bounded J–fractions on the resolvent set of the corresponding second order difference operator, J. Approx. Theory 99 (1999) 369-408.
31. B. Beckermann : On the classification of the spectrum of second order difference operators,
Math. Nachr. 216 (2000), 45-59.
32. B. Beckermann, E. Bourreau : How to choose modified moments? J. Comput. Appl. Math. 98
(1998) 81-98.
33. B. Beckermann, G. Labahn : When are two numerical polynomials relatively prime? J. Symbolic
Computation 26 (1998) 677-689.
34. B. Beckermann, G. Labahn : A fast and numerically stable Euclidean-like algorithm for detecting
relatively prime numerical polynomials. J. Symbolic Computation 26 (1998) 691-714.
35. B. Beckermann, V. Kaliaguine : The diagonal of the Padé table and the approximation of
the Weyl function of second order difference operators, Constructive Approximation 13 (1997)
481-510.
7
36. P.R. Graves–Moris, B. Beckermann : The Compass (Star) Identity for Vector-valued Rational
Interpolants, Advances in Computational Mathematics 7 (1997) 279-294.
37. B. Beckermann, G. Labahn : Recursiveness in Matrix Rational Interpolation Problems, J. Comput. Appl. Math. 77 (1997) 5-34.
38. B. Beckermann : The stable computation of formal orthogonal polynomials, Numerical Algorithms 11 (1996) 1-23.
39. B. Beckermann, C. Carstensen : QD–type algorithms for the non–normal Newton–Padé Approximation Table, Constructive Approximation 12 (1996) 307-330.
40. B. Beckermann, J. Gilewicz, E. Leopold : Recurrence relations with periodic coefficients and
Chebyshev polynomials, Applicationes Mathematicæ 23 (1995) 319-323.
41. G. Labahn, B. Beckermann, S. Cabay : Inversion of Mosaic Hankel Matrices via Matrix Polynomials, Lin. Alg. Applics. 221 (1995) 253-279.
42. J. Wimp, B. Beckermann : Families of Two-point Padé Approximants and New 4 F3 (1) Identities,
SIAM J. Math. Anal. 26 (1995) 761-773.
43. B. Beckermann, J. Gilewicz, V. Kaliaguine : On the definition and block structure of a general
table of simultaneous Padé approximants, J. Approx. Theory 77 (1994) 65-73.
44. J. Wimp, B. Beckermann : Some explicit formulas for Padé approximants of ratios of hypergeometric functions, WSSIAA 2 (1992) 427-434.
45. B. Beckermann, G. Mühlbach : A general determinantal identity of Sylvester’s type and some
applications, Lin. Alg. Applics. 197 (1994) 93-112.
46. B. Beckermann, G. Labahn : A uniform approach for the fast computation of Matrix-type Padé
approximants, SIAM J. Matrix Anal. Appl. 15 (1994) 804-823.
47. B. Beckermann, C. Carstensen : A reliable Modification of the Cross Rule for Rational Hermite
Interpolation, Numerical Algorithms 3 (1992) 29-44.
48. B. Beckermann, G. Labahn : A uniform approach for Hermite Padé and simultaneous Padé
Approximants and their Matrix-type generalizations, Numerical Algorithms 3 (1992) 45-54.
49. B. Beckermann, J. Wimp : Some Dynamically Trivial Mappings, with Applications to the
Improvement of Simple Iteration, Computers & Mathematics with applications 24 (1992) 89-97.
50. S. Cabay, G. Labahn, B. Beckermann : On the Theory and Computation of Non-perfect PadéHermite Approximants, J. Comput. Appl. Math. 39 (1992) 295-313.
51. B. Beckermann, C. Carstensen : Global Identities in the Non-Normal Newton-Padé Approximation table, J. Approx. Theory 74(1993) 199-220.
52. B. Beckermann, A. Neuber, G. Mühlbach : Shanks’ transformation revisited, Lin. Alg. Applics.
173 (1992) 191-219.
53. B. Beckermann : A reliable method for computing M-Padé approximants on arbitrary staircases,
J. Comput. Appl. Math. 40 (1992) 19-42.
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54. B. Beckermann : The Structure of the Singular Solution Table of the M-Padé Approximation
Problem, J. Comput. Appl. Math. 32 (1990) 3-15.
Conference proceedings with referee process (7)
55. B. Beckermann, G. Labahn, Fraction-Free Computation of Simultaneous Padé Approximants,
Proceedings of ISSAC’09 Seoul, ACM Press (2009) 15-22.
56. B. Beckermann, H. Cheng, G. Labahn : Fraction-free row reduction of matrices of skew polynomials, Proceedings of ISSAC’02 Lille, ACM Press (2002) 8-15.
57. B. Beckermann, E.B. Saff : On the sensitivity of least squares polynomial approximation, dans:
Proceedings of a Confererence on Orthogonal Polynomials, Oberwolfach, W. Gautschi e.a. (eds),
Int. Ser. of Num. Math. 131, Birkhäuser, Basel (1999) 1-19.
58. B. Beckermann, G. Labahn, G. Villard : Shifted Normal Forms of Polynomial Matrices, Proceedings of ISSAC’99 Vancouver, ACM Press (1999) 189-196.
59. B. Beckermann, S. Cabay, G. Labahn : Fraction-free Computation of Matrix Padé Systems,
Proceedings of ISSAC’97 Mauı̈, ACM Press (1997) 125-132.
60. M. Van Barel, B. Beckermann, A. Bultheel, G. Labahn : Matrix rational interpolation with
poles as interpolation points, Nonlinear Numerical Methods and Rational Approximation, (A.
Cuyt ed.), Kluwer Academic Publishers, (1994) 137-148.
61. B. Beckermann : A Connection between the E-Algorithm and the Epsilon-Algorithm, IMACS
Transactions on Scientific Computing -’88, Vol. 1.2. Numerical and Applied Mathematics,
Volume Editor C. Brezinski.
Submitted papers (3)
62. B. Beckermann, M. Derevyagin, A. Zhedanov, The linear pencil approach to rational interpolation, Université de Lille (2009).
63. B. Beckermann, V. Kalyagine, A.C. Matos, F. Wielonsky, How well does the HermitePadé
approximation smooth the Gibbs phenomenon ? Université de Lille (2009).
64. B.Beckermann, S. Guettel, R. Vandebril, On the convergence of rational Ritz values, Université
de Lille (2009).
Thesis and other manuscripts (9)
65. B. Beckermann : Zur Interpolation mit polynomialen Linearkombinationen beliebiger Funktionen, Dissertationsschrift, Universität Hannover, Januar 1990.
66. B. Beckermann, C. Carstensen : On the Computation of the Non-Normal Rational HermiteInterpolation Table, Technical Paper # 241, Univ. Hannover, 1991.
67. B. Beckermann : Neville pivoting for extrapolation and interpolation with non-regular systems,
Technical Paper # CPT-92/P.2714, Centre National de la Recherche Scientifique Luminy, 1992.
68. B. Beckermann : Nonsymmetric difference operators and polynomials being orthogonal with
respect to rectangular matrix valued measures, Publication ANO 335, Université de Lille (1995).
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69. B. Beckermann : On the numerical condition of polynomial bases : Estimates for the Condition Number of Vandermonde, Krylov and Hankel matrices, Habilitationsschrift, Universität
Hannover, April 1996.
70. B. Beckermann : On explicit error bounds for best rational and meromorphic approximation of
Markov functions on the unit circle, Publication ANO 430, Université de Lille (2001).
71. B. Beckermann : A note on the convergence of Ritz values for sequences of matrices, Publication
ANO 408, Université de Lille (2000).
72. M. Lapik, B. Beckermann: The interval of equilibrium for the constrained energy problem in
the presence of an external field, Université de Lille (2006).
73. C. Badea, B. Beckermann, M. Crouzeix : K-spectral sets and intersections of disks of the Riemann sphere, Université de Lille (2007). arXiv:0712.0522v1
Lezennes, Dec 11, 2009
Many of the above publications can be found on the page
http://math.univ-lille1.fr/∼bbecker/
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Teaching activities (1992-2009)
Année
Université
92
92
Toulon
Toulon
4h TD
4h TD
Sujet
92/93
Hanovre
6h TD
92/93
Hanovre
2h TD
93-96
Lille
3h TD
93
94
94
Lille
Lille
Lille
95-99
Lille
95-98
Lille
4h
3h
1h
1h
3h
2h
3h
96-98
97
97 et 98
Lille
Lille
Lille
2h cours
2h cours
3h cours
98-01 et 03-07
Lille
99
Lille
2h cours
3h TD
3h cours
98-01
Lille
99-02
Lille
00 et 02
Lille
99 et 03-08
Lille
2h CTD
2h TD/TP
4h cours
01-04
02
03-09
Lille
Lille
Lille
1h CTD
3h cours
1h30 cours
04
04-05
04 et 05
06-08
06 et 09
06
07-08
08 et 09
Lille
Lille
Lille
Lille
Lille
Lille
Lille
Lille
3h cours
2x6h cours
2hC+2.5hTD
2hC
2.5hTD
2h cours
2h30 TD
1hC+1h30TD
TD
TD
cours
TD
TD
TP
TD
1h cours
2h TD
3h TD
Mathématiques DEUG première année
Equations aux dérivées partielles/Distributions
Maı̂trise Mathématiques
Mathématiques pour les ingénieurs
(Analyse, Algèbre linéaire), première année
Mathématiques pour les ingénieurs (Analyse de plusieurs
variables, Analyse Numérique) deuxième année
Analyse Numérique fondamentale I et II
Maı̂trise Mathématiques
Mathématiques DEUG B première année
Algorithmique numérique, Licence Informatique
Initiation à la programmation structurée
DEUG A deuxième année
Algorithmes 2 (Théorie des graphes,
Algorithmique numérique) Licence Informatique
Optimisation linéaire et non linéaire,
Maı̂trise Mathématiques
Mathématiques algorithmiques, MIAGE FC Info.
Analyse Numérique, DEUG FC deuxième année
Opérateurs aux différences et approximation
rationnelle, DEA Mathématiques
Recherche Opérationnelle I,
Maı̂trise Ingénierie Mathématique/Master 1 pro
Systèmes dynamiques discrets et Polynômes
orthogonaux, DEA Mathématiques (première partie)
Analyse Numérique
DEUG MIAS deuxième année
Recherche Opérationnelle II,
Maı̂trise Ingénierie Mathématique
Recherche Opérationnelle et Aide à la Décision
IUP GMI deuxième année
Recherche Opérationnelle,
DESS/Master 2 pro Ingénierie Statistique et Numérique
Outils informatiques (MATLAB), DEA Math. Appl.
Problèmes d’énergie minimale, DEA Math. Appl.
Recherche Opérationnelle II,
Maı̂trise Ingénierie Mathématique/Master 1 pro
Matrices de Jacobi, DEA Math. Appl. (deuxième partie)
Formation Graphes, IREM
Introduction à la modélisation math. (Licence MIMP S3)
Analyse numérique et Approximation (Licence Math S6)
Analyse numérique et Approximation (Licence Math S6)
Traitement informatique de l’Analyse Numérique,
Master 1 professionnel de Mathématiques
Analyse numérique pour informaticiens (Licence Info S4).
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