Week of February 1 - 5

Monday, February 1

 2:30 GROUPS AND GEOMETRIES SEMINAR  - Room 459 MSC
      Curt Bennett, Mathematics and Statistics, BGSU 
      "Open special cases of the distance transitive graphs problem"

 3:30 ANALYSIS SEMINAR  - Room 459 MSC
      Ron Taylor, Mathematics and Statistics, BGSU 
      "Some results on super-cyclicity in the operator algebra of a
       separable Banach space"

Tuesday, February 2

 3:15 Coffee
 3:45 COLLOQUIUM  - Room 459 MSC
      Candidate for position in Statistics
      "Some recent developments in bioequivalence"
      Abstract: The hypotheses of recently proposed bioequivalences
        (FDA, 1997) involve several parameters, such as the mean and
        variance of two populations: the generic drug and the brand
        name drug. These hypothesis spaces may be complicated regions
        in a plane or even in a 3-dimensional space. How can we
        construct tests involving these kinds of hypothesis regions
        when the data are normally distributed? In this talk, a
        reparametrization is introduced, a general class of
        hypotheses, which includes the proposed bioequivalences, is
        discussed and the exact alpha-level tests are proposed. When
        there is interaction between formulation and subject, a
        two-by-three crossover design is sufficient to assess
        individual bioequivalence, while a two-by-two crossover design
        should be used for population bioequivalence.

Wednesday, February 3

11:30 FACULTY MEETING  - Room 459 MSC
      Meeting with candidates for department chair

 2:30 GROUPS AND GEOMETRIES SEMINAR  - Room 459 MSC
      Curt Bennett, Mathematics and Statistics, BGSU 
      "Open special cases of the distance transitive graphs problem"

 3:30 ALGEBRA SEMINAR  - Room 459 MSC
      Warren McGovern, Mathematics and Statistics, BGSU 
      "Algebraic properties of rings of continuous functions"

 3:30 STATISTICS SEMINAR  - Room 304 MSC **** Note new room ****
      G. P. Patil, Distinguished Lukacs Professor, BGSU
      "Environmental and ecological statistics"

Thursday, February 4

 4:00 STATISTICS SEMINAR  - Room 459 MSC
      Jim Albert, Mathematics and Statistics, BGSU 
      "Bayesian model comparison"

Friday, February 5

 3:15 Coffee
 3:45 COLLOQUIUM  - Room 459 MSC
      Candidate for a position in Applied Mathematics
      "Long-time error estimation and a stability indicator
       for the numerical solutions of initial value problems"
      Abstract: Traditional error estimation of initial value problems
        is based on the concept of numerical stability. For nonlinear
        problems and multi-physics systems discretized with various
        numerical techniques, it is difficult, if not impossible, to
        carry out stability analyses for the schemes. In many cases,
        computations are performed without error estimation.

        Our approach is more or less new in five aspects: 1, exact
        error propagation; 2, moving attractor; 3, two level error
        propagation analysis; 4, smoothing assumption; 5, stability
        indicator. With these, we prove a uniform bound (t>0) for the
        error between a numerical solution and a moving attractor.
        Because we do not base our analysis on any model problem or
        specific numerical scheme, the result can be used for many
        strongly nonlinear systems and arbitrary numerical methods.

        Currently, we consider only temporal discretization error, so
        we phrase the theory in terms of ODEs (including semi-
        discrete PDEs). In the future, the approach will be used to
        different types of PDEs.