
20080418Mathematical modeling and Scientifical ComputingProf. Chihhao Hsieh ( Institute of Oceanography, National Taiwan University )

20080418Two species competition in an unstirred chemostat, an internal instored modelSzeBi Hsu 20080418
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.) 
20080417Student seminar on differential geometryComparison 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.) 
20080417Seminar on Parabolic PDEConstructing a Lyapunov functional for quasilinear parabolic equation
Prof. ChiJen 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. 
20080417PDE and Mathematical PhysicsInvariant manifold for Boltzman equation
Prof. TaiPing Liu ( Academia Sinica )2008  04  17 (Thu.)
11:00  12:20
308, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080416Physics and mathematics of dispersive shock waves: An introductionPhysics 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. 
20080415The Cauchy problem of the Ward equation (II)Prof. Derchyi Wu ( Academia Sinica )

20080415Geometric AnalysisRicci flow
Prof. ChangShou Lin ( Department of Mathematics, National Taiwan University )2008  04  15 (Tue.)
09:10  12:10
308, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080415Statistical MethodologyNonparametric 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 markerspecific hazard function and proposed nonparametric estimators. The finite and largesample properties of the estimators are also developed. A possible research topic and extension will be explored in this talk. 
20080415NCTS/TPE & TIMS Joint Geometry Seminar (20092010)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.) 
20080415Statistical MethodologyJoint analysis of longitudinal data with informative right censoring2008  04  15 (Tue.)
13:30  15:00
405, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080415The Cauchy problem of the Ward equation (II)Derchyi Wu 20080415
14:00:00  15:00:00 The Cauchy problem of the Ward equation (II)308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080411Seminar on Financial MathematicsAn introduction to stochastic calculus
Prof. NarnRueih Shieh ( Department of Mathematics, National Taiwan University )2008  04  11 (Fri.)
09:30  10:20
405, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080411Average performance of the sparsest approximation using a dictionaryProf. Mila Nikolova ( Centre de Mathématiques et de Leurs Applications, ENS Cachan )

20080411Mathematical modeling and Scientifical ComputingMathematical modeling and Scientifical Computing
Prof. HungChi 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.) 
20080411Mathematical modeling and Scientifical ComputingMathematical modeling and Scientifical Computing
Prof. HungChi 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.) 
20080411Computational Science on MedicineModelling, Simulation and ApplicationApplication of Time Frequency Transformation in Medical and Biological Engineering
Prof. YihNen 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 nonsinusoidal 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. 
20080411TBAProf. YihNen Jeng ( Department of Aeronautics and Astronautics, National Cheng Kung University )

20080411Seminar on multiscale Analysis and ComputationAverage 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 nonzero 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 (nonconvex) optimization problem naturally leads to the sparsest representations, compared with other objectives. Our goal is to measure the sets of data yielding a Ksparse or sparser solution  i.e. involving at most K nonzero 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 Ksparse (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. 
20080411Average performance of the sparsest approximation using a dictionaryMila Nikolova 20080411
10:30:00  11:20:00 Average performance of the sparsest approximation using a dictionary405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080411TBAYihNen Jeng 20080411
13:30:00  14:30:00 TBA405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080410PDE and Mathematical PhysicsChernSimonsHiggs Models in Superconductivity (Ⅲ)
Prof. ChangShou Lin ( Department of Mathematics, National Taiwan University )2008  04  10 (Thu.)
11:10  12:20
308, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080410Student seminar on differential geometryComparison 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.) 
20080410Seminar on Parabolic PDEApplication of Braid Group Theory to PDE
Prof. ChinChin 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.) 
20080410NCTS/TPE & TIMS Joint Student Geometry Seminar (2008)Stability of spacelike hypersurfaces in foliated spacetims
Mr. YeKai Wang ( Department of Mathematics, National Taiwan University )2008  04  10 (Thu.)
13:00  14:00
103, Old Mathematics Building 
20080410Stability of spacelike hypersurfaces in foliated spacetimesMr. YeKai Wang ( Department of Mathematics, National Taiwan University )

20080410Stability of spacelike hypersurfaces in foliated spacetimesYeKai Wang 20080410
13:00:00  14:00:00 Stability of spacelike hypersurfaces in foliated spacetimes103 , Old Mathematics Building 
20080409Physics and mathematics of dispersive shock waves: An introductionPhysics 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. GurevichPitaevskii problem is formulated. Its solution is given for a dispersive shock formed due to decay of an initial steplike distribution. 
20080408Geometric AnalysisRicci flow
Prof. ChangShou Lin ( Department of Mathematics, National Taiwan University )2008  04  08 (Tue.)
09:10  12:10
405, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080408NCTS/TPE & TIMS Joint Geometry Seminar (20092010)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.)