Block Course "Selected Topics in Scientific Computing"

Block Course: Selected Topics in Scientific Computing

Speaker: Peter Deuflhard, Strategic Scientist of the City of Beijing, Fouding Director of BISEC

Location: M842, Lecture Hall, Science Research Building M

Date &Time: Oct.18th, Oct.20th, Oct.21th, 2016, 1400-1600

   Oct..22th, 2016, 10 :00- 12:00

   Oct.24th, Oct.25th, Oct.27th, Oct.28th, 2016, 1400-1600

Students Qualification: Science and engineering graduate students, young teachers and high grade undergraduate students using Science Computing as basics or tools.

Course Content:

1. Aproaches to time dependent partial differential equations (PDEs)
1.1. method of lines
1.2. method of time
layers
1.3. adaptivity questions

2. Basic stability questions for stiff numerical integrators
2.1. linear stability models (A-stability, L-stability)
2.2. why not to use Crank-Nicolson for time dependent PDEs
2.3. uniqueness theorems for differential equations: deeper understanding
2.3.1. Picard iteration in function space for non-stiff ODEs
2.3.2.simplified Newton iteration in function space for stiff ODEs

3. Classes of stiff integrators (including questions of store and accuracy)
3.1. implicit multistep methods: BDF methods
3.2. implicitRunge-Kutta methods
3.3. linearly implicit RK-methods
3.3.1. Rosenbrock-Wanner methods, W-methods
3.3.2.extrapolation methods (LIMEX)
3.4. why to use W-methods (like LIMEX) for adaptive method of lines treatment of PDEs

About Professor Peter Deuflhard

Strategic Scientist of the City of Beijing, Academician of European Academy of Sciences, Academician of Berlin-Brandenburg Academy of Sciences and Humanities, member of International Institute for Industrial and Applied Mathematics, Professor of Free University of Berlin, dean of ZIB, Zuse Institute Berlin (1987-2012). He specializes in research of Computational Mathematics and Applied Mathematics, covering many fields such as science, engineering, modeling, simulation, inverse problem, optimization and visualization in industrial fields. nonlinear system, ordinary differential system, partial differential system, Markov Chain in Numerical Analysis Computing field and their relevant software, space technology, chemical engineering, biotechnology, microwave technology, medicine, systems biology, AIDS, data mining, science and art, etc in application fields. Professor Peter Deuflhard has made many original contributions in so many sciences and application fields. He won the Gerhard Damköhler in 1994, and Maxwell Prize in 2007 (one of the highest prize for applied mathematics in the world) and Golden badge of honor of Freie Universität Berlin in 2012.

Welcome students have interests in!