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2008-04-18Mathematical modeling and Scientifical ComputingProf. Chih-hao Hsieh ( Institute of Oceanography, National Taiwan University )
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2008-04-18Two species competition in an unstirred chemostat, an internal instored modelSze-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.) -
2008-04-17Student 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.) -
2008-04-17Seminar on Parabolic PDEConstructing 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. -
2008-04-17PDE and Mathematical PhysicsInvariant 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.) -
2008-04-16Physics 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. -
2008-04-15The Cauchy problem of the Ward equation (II)Prof. Derchyi Wu ( Academia Sinica )
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2008-04-15Geometric AnalysisRicci 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.) -
2008-04-15Statistical 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 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. -
2008-04-15NCTS/TPE & TIMS Joint Geometry Seminar (2009-2010)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.) -
2008-04-15Statistical 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.) -
2008-04-15The Cauchy problem of the Ward equation (II)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.) -
2008-04-11Seminar on Financial MathematicsAn 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.) -
2008-04-11Average performance of the sparsest approximation using a dictionaryProf. Mila Nikolova ( Centre de Mathématiques et de Leurs Applications, ENS Cachan )
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2008-04-11Mathematical modeling and Scientifical ComputingMathematical 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.) -
2008-04-11Mathematical modeling and Scientifical ComputingMathematical 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.) -
2008-04-11Computational Science on Medicine-Modelling, Simulation and ApplicationApplication 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. -
2008-04-11TBAProf. Yih-Nen Jeng ( Department of Aeronautics and Astronautics, National Cheng Kung University )
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2008-04-11Seminar 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 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. -
2008-04-11Average performance of the sparsest approximation using a dictionaryMila 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.) -
2008-04-11TBAYih-Nen Jeng 2008-04-11
13:30:00 - 14:30:00 TBA405 , Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-04-10PDE and Mathematical PhysicsChern-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.) -
2008-04-10Student 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.) -
2008-04-10Seminar on Parabolic PDEApplication 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.) -
2008-04-10NCTS/TPE & TIMS Joint Student Geometry Seminar (2008)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 -
2008-04-10Stability of spacelike hypersurfaces in foliated spacetimesMr. Ye-Kai Wang ( Department of Mathematics, National Taiwan University )
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2008-04-10Stability of spacelike hypersurfaces in foliated spacetimesYe-Kai Wang 2008-04-10
13:00:00 - 14:00:00 Stability of spacelike hypersurfaces in foliated spacetimes103 , Old Mathematics Building -
2008-04-09Physics 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. Gurevich-Pitaevskii problem is formulated. Its solution is given for a dispersive shock formed due to decay of an initial step-like distribution. -
2008-04-08Geometric AnalysisRicci 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.) -
2008-04-08NCTS/TPE & TIMS Joint Geometry Seminar (2009-2010)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.)