Prof. Chih-hao Hsieh  ( Institute of Oceanography, National Taiwan University )

Sze-Bi Hsu 2008-04-18
13:30:00 - 14:30:00 Two species competition in an unstirred chemostat, an internal instored model308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Comparison theorems in Rimannian geometry
Mr. Sheng Fu Chio ( Department of Mathematics, National Taiwan University )2008 - 04 - 17 (Thu.)
19:00 - 20:30
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Constructing a Lyapunov functional for quasilinear parabolic equation
Prof. Chi-Jen Wang ( Georgia Institute of Technology, USA )2008 - 04 - 17 (Thu.)
14:00 - 15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)The aim of this talk is to introduce a method by Zelenyak in constructing a Lyapunov functional for quasilinear parabolic equation. It is well known that the construction of such a functional is very important in the study of asymptotic behavior of the solution of evolution equation.

Invariant manifold for Boltzman equation
Prof. Tai-Ping Liu ( Academia Sinica )2008 - 04 - 17 (Thu.)
11:00 - 12:20
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Physics and mathematics of dispersive shocks: An introduction
Prof. Anatoly Kamchatnov ( Institute of Spectroscopy, Russian Academy of Science )2008 - 04 - 16 (Wed.)
15:00 - 17:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)In this lecture, we shall start more advanced part of the course. On the basis of observation that the Riemann invariants coincide with the end points of the bands in the spectrum of the Lame (or Schroedinger) equation, we relate the KdV equation with linear spectral problem and show that the KdV equation can be represented as a compatibility condition of two linear equations.

Prof. Derchyi Wu  ( Academia Sinica )

Ricci flow
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 04 - 15 (Tue.)
09:10 - 12:10
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Nonparametric Estimation of the Joint Distribution of Survival Time and Mark variables2008 - 04 - 15 (Tue.)
13:30 - 15:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)An overview of the paper 〝Nonparametric Estimation of the Joint Distribution of Survival Time and Mark variables〞by Huang and Louis (1998) is given. They established a representation of the joint distribution function through the cumulative marker-specific hazard function and proposed nonparametric estimators. The finite and large-sample properties of the estimators are also developed. A possible research topic and extension will be explored in this talk.

The Cauchy problem of the Ward equation II.
Prof. Derchyi Wu ( Academia Sinica )2008 - 04 - 15 (Tue.)
01:00 - 01:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Joint analysis of longitudinal data with informative right censoring2008 - 04 - 15 (Tue.)
13:30 - 15:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Derchyi Wu 2008-04-15
14:00:00 - 15:00:00 The Cauchy problem of the Ward equation (II)308 , Mathematics Research Center Building (ori. New Math. Bldg.)

An introduction to stochastic calculus
Prof. Narn-Rueih Shieh ( Department of Mathematics, National Taiwan University )2008 - 04 - 11 (Fri.)
09:30 - 10:20
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Prof. Mila Nikolova  ( Centre de Mathématiques et de Leurs Applications, ENS Cachan )

Mathematical modeling and Scientifical Computing
Prof. Hung-Chi Kuo ( Department of Atmospheric Sciences, National Taiwan University )2008 - 04 - 11 (Fri.)
15:30 - 17:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Mathematical modeling and Scientifical Computing
Prof. Hung-Chi Kuo ( Department of Atmospheric Sciences, National Taiwan University )2008 - 04 - 11 (Fri.)
15:30 - 17:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Application of Time Frequency Transformation in Medical and Biological Engineering
Prof. Yih-Nen Jeng ( Department of Aeronautics and Astronautics, National Cheng Kung University )2008 - 04 - 11 (Fri.)
13:30 - 14:30
405, Mathematics Research Center Building (ori. New Math. Bldg.)The talk will introduce how to remove the non-sinusoidal part of a continuous data string. The procedure to obtain a Fourier sine or cosine spectrum via a monotonic cubic interpolation will be shown too. Next, the Fourier sine spectrogram, which is a time frequency transformation generated from the Fourier sine spectrum, is theoretically compared with the existing short time Fourier transform and continuous wavelet transform. Finally, both the spectrum and spectrogram are employed to examine ECG and ABP data of several typical cases. Meanwhile, a sonocardiography system to sense wrist pulse is employed to take data and then analyzed by the Fourier sine spectrogram.

Prof. Yih-Nen Jeng  ( Department of Aeronautics and Astronautics, National Cheng Kung University )

Average performance of the sparsest approximation using a dictionary
Prof. Mila Nikolova ( Centre de Mathématiques et de Leurs Applications, ENS Cachan )2008 - 04 - 11 (Fri.)
10:30 - 11:20
405, Mathematics Research Center Building (ori. New Math. Bldg.)We consider the minimization of the number of non-zero coefficients (the ℓ0 norm) of the representation of a data set in terms of a dictionary under a fidelity constraint. (Both the dictionary and the norm defining the constraint are arbitrary.) This (non-convex) optimization problem naturally leads to the sparsest representations, compared with other objectives. Our goal is to measure the sets of data yielding a K-sparse or sparser solution - i.e. involving at most K non-zero components. Data are assumed uniformly distributed on a domain defined by a norm. Relevant bounds on the Lebesgue measure of these sets are derived. They naturally lead to bound the probability of getting a K-sparse (or sparser) solution. We specify these results in the case of the Euclidian norm and an arbitrary dictionary. Then we specialize the problem to orthogonal bases (e.g. splines or wavelets) and focus on popular choices for the two norms. We get sharper bounds that are easy to compute. These results have a considerable theoretical and practical importance.

Mila Nikolova 2008-04-11
10:30:00 - 11:20:00 Average performance of the sparsest approximation using a dictionary405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Yih-Nen Jeng 2008-04-11
13:30:00 - 14:30:00 TBA405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Chern-Simons-Higgs Models in Superconductivity (Ⅲ)
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 04 - 10 (Thu.)
11:10 - 12:20
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Comparison theorems in Rimannian geometry
Mr. Sheng Fu Chio ( Department of Mathematics, National Taiwan University )2008 - 04 - 10 (Thu.)
19:00 - 20:30
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Application of Braid Group Theory to PDE
Prof. Chin-Chin Wu ( Department of Applied Mathematics, National Chiao Tung University )2008 - 04 - 10 (Thu.)
14:00 - 15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Stability of spacelike hypersurfaces in foliated spacetims
Mr. Ye-Kai Wang ( Department of Mathematics, National Taiwan University )2008 - 04 - 10 (Thu.)
13:00 - 14:00
103, Old Mathematics Building

Mr. Ye-Kai Wang  ( Department of Mathematics, National Taiwan University )

Ye-Kai Wang 2008-04-10
13:00:00 - 14:00:00 Stability of spacelike hypersurfaces in foliated spacetimes103 , Old Mathematics Building

Physics and mathematics of dispersive shocks: An introduction
Prof. Anatoly Kamchatnov ( Institute of Spectroscopy, Russian Academy of Science )2008 - 04 - 09 (Wed.)
15:30 - 17:20
405, Mathematics Research Center Building (ori. New Math. Bldg.)In this lecture, we shall apply the Whitham modulation theory developed earlier for the KdV equation to description of dispersive shocks. Gurevich-Pitaevskii problem is formulated. Its solution is given for a dispersive shock formed due to decay of an initial step-like distribution.

Ricci flow
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 04 - 08 (Tue.)
09:10 - 12:10
405, Mathematics Research Center Building (ori. New Math. Bldg.)

The Cauchy problem of the Ward equation I
Prof. Derchyi Wu ( Academia Sinica )2008 - 04 - 08 (Tue.)
14:00 - 15:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)