FUDAN BIWEEKLY
For International Community on Campus
Issue 1. 16th January 2015
Research Spotlight
Professor Chen Shuxing Awarded 2014 Ho Leung Ho Lee Science and
Technology Progress Award
On October 29, 2014 the Ho Leung Ho Lee Foundation Award Presentation Ceremony
was held in Beijing. Professor Chen Shuxing of the School of Mathematical Sciences at
Fudan, also an academician of Chinese Academy of Sciences, won the Ho Leung Ho Lee
Science and Technology Progress Award. The Ho Leung Ho Lee Foundation (HLHL
Foundation) was established by four patriotic financiers, to reward excellent Chinese
scholars in science and medical fields. Professor Chen’s scientific achievement was
mainly concerned with the following three aspects: i) The mathematical theory of threedimensional wing-tips and the supersonic flow around pointed cones; ii) The Mach
structure in the reflection of shock waves; and iii) The theory of symmetric hyperbolic
equations. Professor Chen was the first scientist who gave a rigorous mathematical
proof of the local-existence and stability of attached shock waves, which was a
breakthrough in solving this long-standing problem with experiments and calculation.
In addition, he has made a pioneering effort to prove the local stability of the Mach
structure with partial differential equations, the research finding of which was
published on internationally renowned mathematical journals JAMS and CPAM. His
innovative approach has been valued internationally and cited frequently in academia.
(Source from Fudan Homepage)
China ABC
Traditional Chinese Staple Food
Rice is the most common staple food in China. People in different regions produce and
eat different types of rice which taste different. Rice cooking methods include boiling,
steaming and stir-frying. Staples made with rice include porridge, fried rice and
steamed plain rice, as shown in the following three pictures.
Noodle is another traditional and time-honored food originated from China. As a staple
food, it is favorite of people living in North China. There are also many different cooking
methods with noodle. 2013 Chinese Noodle Culture Festival announced Top Ten
Popular Chinese Noodles. The list covers famed dishes from all across China as shown
in the following pictures, including Wuhan hot noodle, Beijing noodle with soybean
paste, Shanxi sliced noodle, Henan stewed noodle, Lanzhou ramen, Hangzhou Pian Er
Chuan, Kunshan Aozao noodles, Zhenjiang pot cover noodles, Sichuan spicy dandan
noodles and Jilin Yanji cold noodles. The question is, what is your favorite?
Wuhan
Beijing
Shanxi
Henan
Lanzhou
Hangzhou
Zhenjiang
Kunshan
Sichuan
Yanji
Upcoming Events
16 Jan Fri.
10:00
Talk:
Locally Optimal and Heavy Ball GMRES Methods
By:
Prof. Ren-cang Li
Venue: Room1501, East Main Building, Gunaghua Towers
Brief: The Generalized Minimal Residual method (GMRES) seeks optimal
approximate solutions of linear system from Krylov subspaces by
minimizing the residual norm over all x in the subspaces. Its main
cost is computing and storing basis vectors of the subspaces. For
difficult systems, Krylov subspaces of very high dimensions are
necessary for obtaining approximate solutions with desired
accuracy. In such cases, memory requirement for using GMRES
may be too demanding to be practical, and then, as an alternative,
the restarted GMRES is often used instead. The latter manages to
cut down memory need by simply capping the dimensions of the
involved Krylov spaces and attempts to compute approximate
solutions with desired accuracy by simply repeating GMRES with
the approximate solution of current GMRES cycle used as the initial
guess of the next GMRES cycle. The price to pay usually is slower
speed of convergence. The key reason for this loss in speed is due to
that in the restarted GMRES, the Krylov space built at each
GMRES cycle is thrown away almost completely in the next cycle,
except for the computed approximation solution at the cycle. How to
cut down the loss therefore lies in how to keep more information in
Krylov spaces built in all previous cycles and at the same time
without increasing cost in computing and storing basis vectors. In
this talk, we will discuss two variants of the restarted GMRES.
Both variants preserve the advantages of the restarted GMRES in
their ability to control cost in computing and storing basis vectors,
easiness to implement, and yet, as overwhelmingly numerical
evidence demonstrates, are able to make up the lost information
hidden in thrown-away Krylov spaces for fast convergence. This is a
joint work with Akira Imakura (University of Tsukuba) and ShaoLiang Zhang (Nagoya University).
16 Jan Fri.
Talk: Critical Point Theory and Variational Methods With Applications
14:30
Telectronic Structure Models
By:
Prof. Michael Melgaard
Venue: Room2201, East Main Building, Gunaghua Towers
Brief: We report on a series of rigorous results on the existence of ground
states and excited states for various weakly coupled, semilinear
nonlinear elliptic PDEs arising in electronic structure models of
molecular systems in quantum chemistry. For wave function
methods, we give results for Hartree-Fock type models taking into
account relativistic effects and magnetic fields by using the LionsFang-Ghoussoub critical point approach to multiple solutions on a
noncompact Riemannian manifold. Within Density Functional
Theory (DFT), we give rigorous results on the open-shell, spinpolarized Kohn-Sham models for non-relativistic and quasirelativistic electron Coulomb systems, that is, systems where the
kinetic energy of the electrons is given by either the non-relativistic
operator or the quasi-relativistic operator (nonlocal,
pseudodifferential operator of order one); here is Sommerfeld's fine
structure constant. For standard and extended Kohn-Sham models
in the local density approximation, we prove existence of a ground
state (or minimizer) provided that the total charge nuclei is greater
than $N-1$. For the quasi-relativistic setting we also need that is
smaller than a critical charge. This is joint work with C. Argaez
(University of Iceland, Iceland), E. Chiumiento (IAM CONICET,
Argentina) and M. Enstedt
17 Jan Sat. Talk:
09:00
By :
Practice Of "One Country Two Systems": Review and Prospect
Jasper Tsang Yok-sing
President of the Legislative Council of Hong Kong SAR
Venue: Room826,Wenke Building (文科楼 826 室)
20 Jan Tue.
Topic: Positive Green's Function and Complex Monge-Ampere Equation
10:00-11:00
on quasi-projective manifolds
By:
Damin Wu
Venue: Room 1801, East Main Building, Gunaghua Towers
FUDAN BIWEEKLY is produced by Foreign Faculty Section, Foreign Affairs Office, Fudan University.