
20080314Computational Science on MedicineModelling, Simulation and ApplicationScientific Computing on HemodynamicsComputational Challenges and its Application to Surgical Planning for Cardiovascular Diseases
Prof. Tony WenHann Sheu ( Department of Engineering Science and Ocean Engineering, National Taiwan University )2008  03  14 (Fri.)
15:00  16:00
405, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080314Seminar on multiscale Analysis and ComputationMultiscale modeling, asymptotic analysis, and their applications in finance (I,II)
Prof. ChuanHsiang Han ( Department of Quantitative Finance, National Tsing Hua University )2008  03  14 (Fri.)
10:20  12:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)During the last two decades, financial mathematics has emerging as an active branch in applied mathematics. Problems arising from modern finance are often resolved from applications of various techniques including probability and statistics, differential equations, optimization and control theory, scientific computations, etc. In this talk, the evaluation of financial derivatives under an incomplete market is treated by two approaches. First, multiscale modeling in volatility processes is shown to be powerful for calibration to the term structure of implied volatility surface. In mathematical terms, an inverse problem is solved from asymptotics of a PDE by means of singular and regular perturbations. Second, we consider the usage of Monte Carlo and Quasi Monte Carlo simulations to solve high dimensional PDEs. A variance reduction method, namely the martingale control variate method is proposed to improve the convergent speed. The martingale control comprises of a low dimensional PDE obtained from the homogenization of multiple time scales. This method turns out to be general enough to solve for variational inequalities. In financial terms, a delta hedging portfolio is effective to reduce the risk of a financial derivative. In the end, some challenging problems are discussed. 
20080314New Euler sums with two branchesMinking Eie 20080314
14:30:00  15:20:00 New Euler sums with two branches308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080314An Brief Introduction to Inverse Problems and InvisibilityJennNan Wang 20080314
13:30:00  14:30:00 An Brief Introduction to Inverse Problems and Invisibility405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080314Multiscale modeling, asymptotic analysis, and their applications in finance (I,II)ChuanHsiang Han 20080314
10:20:00  12:00:00 Multiscale modeling, asymptotic analysis, and their applications in finance (I,II)308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080314Scientific Computing on HemodynamicsComputational Challenges and its Application to Surgical Planning for Cardiovascular DiseasesTony Sheu 20080314
15:00:00  16:00:00 Scientific Computing on HemodynamicsComputational Challenges and its Application to Surgical Planning for Cardiovascular Diseases405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080313PDE and Mathematical PhysicsChernSimonsHiggs Models in Superconductivity (2)
Prof. ChangShou Lin ( Department of Mathematics, National Taiwan University )2008  03  13 (Thu.)
11:10  12:20
308, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080313Seminar on Graph ColoringInformal Discussions
Prof. Xuding Zhu ( Zhejiang Normal University, China )2008  03  13 (Thu.)
13:30  15:30
405, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080313Seminar on Graph ColoringInformal Discussions
Prof. Xuding Zhu ( Zhejiang Normal University, China )2008  03  13 (Thu.)
10:10  12:00
405, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080313Student seminar on differential geometrySeminar on Differential Geometry
Prof. YuChao Tu ( University of Utah, USA )2008  03  13 (Thu.)
19:00  20:30
405, Mathematics Research Center Building (ori. New Math. Bldg.)我們希望集合一些大學部學生或碩博士生一起學Differential Geometry，從基礎的領域：manifolds, variation,curvatures, Jacobian fields,fundamental form 等，到一些進階的領域如comparison theorems,Toponogov's theorem, Homonic functions, Eigenvalue problems, heat kernels,deformation, conformality 等。目的是對 Differential Geometry 有一個基礎而多方面的認識，瞭解其在歷史上和 現在的一些重要課題。 
20080313Seminar on Parabolic PDESome topics in the study of parabolic equations
Prof. JongShenq Guo ( Tamkang University )2008  03  13 (Thu.)
14:00  15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080313Seminar on Differential GeometryYuChao Tu 20080313
19:00:00  20:30:00 Seminar on Differential Geometry405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080313Some topics in the study of parabolic equationsJongShenq Guo 20080313
14:00:00  15:00:00 Some topics in the study of parabolic equations308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080313ChernSimonsHiggs Models in Superconductivity (2)ChangShou Lin 20080313
11:10:00  12:20:00 ChernSimonsHiggs Models in Superconductivity (2)308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080313Informal DiscussionsXuding Zhu 20080313
10:10:00  12:00:00 Informal Discussions405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080313Informal DiscussionsXuding Zhu 20080313
13:30:00  15:30:00 Informal Discussions405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080312Physics 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  03  12 (Wed.)
15:30  17:20
405, Mathematics Research Center Building (ori. New Math. Bldg.)In this lecture, we shall study nonlinear effects by Riemann's method applied to onedimensional compressible fluid dynamics equations. Riemann invariants will be introduced for this system. Solution of the resulted equations will be found by the hodograph method. The method will be illustrated by examples of dam problem and expansion of a gas slab. 
20080312Physics and mathematics of dispersive shocks: An introductionAnatoly Kamchatnov 20080312
15:30:00  17:20:00 Physics and mathematics of dispersive shocks: An introduction405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080311Geometric AnalysisRicci flow
Prof. ChangShou Lin ( Department of Mathematics, National Taiwan University )2008  03  11 (Tue.)
09:10  12:10
405, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080311NCTS/TPE & TIMS Joint Geometry Seminar (20092010)The Strong Oka’s Lemma, bounded plurisubharmonic functions and the Neumann problem
Prof. MeiChi Shaw ( University of Notre Dame, USA )2008  03  11 (Tue.)
14:00  15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)In this talk we discuss the CauchyRiemann equations on pseudoconvex domains with Lipschitz domains in complex manifolds. A unified approach to the regularity of the Neumann problem for Lipschitz domains will be given using the strong Oka’s lemma. We will also discuss the relationship between the strong Oka’s lemma,bounded plurisubharmonic exhaustion functions and their relationship with the regularity of the Neumann problem in complex projective spaces. Applications to the nonexistence of Leviflat hypersurfaces in complex projective spaces will be discussed. 
20080311The Strong Oka’s Lemma, bounded plurisubharmonic functions and the Neumann problemMeiChi Shaw 20080311
14:00:00  15:00:00 The Strong Oka’s Lemma, bounded plurisubharmonic functions and the Neumann problem308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080311Ricci flowChangShou Lin 20080311
09:10:00  12:10:00 Ricci flow 405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080307Seminar on multiscale Analysis and ComputationCausality of Wave Propagation (I)
Prof. ILiang Chern ( Department of Mathematics, National Taiwan University )2008  03  07 (Fri.)
14:00  15:30
308, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080307Thermodynamic Formalism：An IntroductionProf. JungChao Ban ( National Dong Hwa University (Meilun Campus) )2008  03  07 (Fri.)
10:00  11:30
308, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080307Thermodynamic Formalism：An IntroductionJungChao Ban 20080307
10:00:00  11:30:00 Thermodynamic Formalism：An Introduction308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080307Causality of Wave Propagation (I)ILiang Chern 20080307
14:00:00  15:30:00 Causality of Wave Propagation (I)308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080306PDE and Mathematical PhysicsChurnSimonsHiggs Models in Superconductivity (I)
Prof. ChangShou Lin ( Department of Mathematics, National Taiwan University )2008  03  06 (Thu.)
11:10  12:20
308, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080306Seminar on Parabolic PDEBlowup rate estimate for a system of semilinear parabolic equations
Prof. Satoshi Sasayama ( Hokkaido University, Japan )2008  03  06 (Thu.)
14:00  15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)We study the blowup rate estimate for a system of semilinear parabolic equations. The blowup rate depends on whether the two components of the solution of this system blow up simultaneously or not. 
20080306Ricci Flow (after Cao and Zhu)Prof. YuChao Tu ( University of Utah, USA )

20080306Seminar on Graph ColoringCircular consecutive choosability of graphs (II)
Prof. Xuding Zhu ( Zhejiang Normal University, China )2008  03  06 (Thu.)
13:30  15:30
405, Mathematics Research Center Building (ori. New Math. Bldg.)