Institute for Mathematical Sciences                                        Programs & Activities

 

Multiscale Modeling, Simulation, Analysis and Applications
(1 November 2011 - 20 January 2012)

... Co-sponsored by Institute of High Performance Computing, A*STAR

Organizing Committee · Visitors and Participants · Overview · Activities · Venue

 

 Organizing Committee

 

Co-chairs

  • Weizhu Bao (National University of Singapore)
  • David Srolovitz (Institute for High Performance Computing and National University of Singapore)

 

Members

 

 Visitors and Participants

 

 

 Overview

 

Many problems in science and engineering have widely varying scales in time and space. The scientific understanding of problems involving the interaction between different temporal and spatial scales is very challenging and has become increasingly important in the face of modern applications such as computational quantum physics and chemistry based on first principles, defects and microstructures in material sciences and complex fluids. With recent advances in both the mathematical understanding of multiscale modeling and the advent of multiscale computational methods, multiscale modeling and simulation are becoming key approaches to investigate complicated and advanced scientific problems in applied sciences and to support future technology development in both academia and industry. This has lead to a paradigm shift for mathematical modeling and scientific computing towards a multiscale modeling and simulation approach. Such a new systematic multiscale approach promises to not only provide a means to tackle some very complicated and difficult scientific problems which we could not imagine solving previously but also accelerate the close interaction between mathematicians and applied scientists. The new paradigm shift also calls for greater participation of mathematicians and computational scientists to address some fundamental questions related to emerging multi-scale applications, to work together with applied scientists from the modeling to computational stages, to provide multiscale analysis for justifying different models, and to design efficient and accurate multiscale computational methods.

The new paradigm of multiscale modeling and simulation represents an important scientific and mathematical challenge. A critical component in the multiscale modeling and simulation framework is the systematic use of sophisticated mathematical techniques and insights, arising from mathematical modeling, partial differential equations, and applied analysis, in conjunction with computational science and engineering, for attacking complicated and difficult problems with different temporal and spatial scales in applied sciences.

The three-month program will bring applied and computational mathematicians, theoretical physicists and chemists, computational materials scientists and other computational scientists together to review, develop and promote interdisciplinary researches on multiscale problems that often arise in science and engineering. It will provide a forum to highlight progress in a broad range of application areas, within a coherent theme and with greater emphasis on mathematical analysis and numerical simulation for multiscale modeling and emerging applications in quantum physics and chemistry and material sciences.

The program participants will:


  1. present recent development in mathematical theories, including modeling, analysis and computational techniques that is relevant to multiscale modeling and simulation.
  2. discuss and compare different, recent-proposed multiscale models related to the latest emerging applications.
  3. identify critical scientific issues in the understanding of multiscale modeling and simulation and difficulties of common interest within to different disciplines as well as issues that are specific to individual areas.
  4. accelerate the interaction of mathematicians and applied scientists by stimulating lively debate on important research issues related to multiscale modeling and simulation, and promote the highly interdisciplinary research with emerging applications and cross fertilization of ideas.
  5. develop and foster international and local collaborations of scientific researches in multiscale modeling and simulation.


 Activities

 

The program activities will consist of three workshops, tutorial lectures, public lectures, working seminars and collaborative research.

1. Collaborative Research: 1 Nov 2011 - 20 Jan 2012

During the period of the program, Institute for Mathematical Sciences will provide an excellent research environment for local and international visitors from applied and pure mathematics, physics, materials science and computational science to discuss and to conduct collaborating research.

2. Workshop I: 14 - 18 Nov 2011
Title: Challenge and Modeling of Multiscale Problems in Mechanics and Materials

Rationale: This workshop will focus on multiscale materials modeling and simulation including microstructure, morphology, deformation in low-dimensional materials, magnetics--micromagnetics and spin dynamics, modeling of crystals and fluids with fibres, etc. Emphasis will be placed on recent new developments, mathematical and computational challenges, and multiscale modeling and simulation techniques for problems in these fields. Participants are a combination of applied and computational mathematicians and theoretical and computational materials scientists as well as a few experimentalists.


3. Winter School: 12 Dec 2011 - 13 Jan 2012

The Winter School brings together senior undergraduate students and graduate students to the study of multiscale modeling, simulations, analysis and applications. It consists of two weeks of tutorials and student oriented seminars. Distinguished researchers will give tutorial lectures on topics in physical modeling, mathematical theory, computational methods and applications related to multiscale modeling, simulation, analysis and applications in this winter school. In addition, all participants in this winter school can attend Workshop II and III during the program.

4. Workshop II: 19 - 21 Dec 2011
Title: Multiscale Modeling and Simulation for Defects and Their Dynamics

Rationale: This workshop will bridge Workshop I and Workshop III through an emphasis on recent development of multiscale analysis and simulation methods for defects and their dynamics in materials and quantum physics such as fracture, dislocation and quantized vortex, etc. Participants will explore multiscale models, rigorous mathematical foundation and analysis, efficient multiscale algorithms for defects and their dynamics.

 

5. 1st SIAM Student Chapter, NUS Symposium on Applied and Computational Math: 5 Jan 2012
 

6. Workshop III: 9 - 13 Jan 2012
Title: Mathematical Theory and Computational Methods for Multiscale Problems

Rationale: This workshop will focus on recent developments in mathematical theory and computational methods in multiscale modeling and simulation with applications in quantum physics and chemistry as well as complex fluids. Participants will explore rigorous multiscale analysis, efficient multiscale simulation algorithms, and emerging applications in some fields with strong local and international interests such as highly oscillatory PDEs, homogenization, semiclassical/subsonic/nonrelativistic limits of nonlinear dispersive equations, molecular dynamics and particle methods, kinetic models and methods etc. Emphasis will be placed on the development of new mathematical theory and computational algorithms for multiscale modeling and simulation, and new multiscale approaches for studying problems arising from quantum physics and chemistry as well as complex fluids. Participants are a combination of pure and applied mathematicians and theoretical and computational physicists and/or chemists.

 

7. Public Lectures

 

Distinguished researchers will give public lectures on topics in physical modeling, mathematical theory, computational methods and applications related to multiscale modeling, simulation, analysis and applications.

 

 

Date:

Monday, 14 Nov 2011

Venue:

LT33, Block S17,
Level 2, Faculty of Science,
National University of Singapore
Singapore 119076

6:30pm - 7:30pm

Order and Rigidity Sensing by Biological Cells
Samuel Safran, Weizmann Institute of Science, Israel

 

 

Date:

Tuesday, 10 Jan 2012

Venue:

LT31, Block S16,
Level 3, Faculty of Science,
National University of Singapore Singapore 117543

6:30pm - 7:30pm

Carbons: From Diamonds to Space Elevator and Future Electronics
Boris Yakobson, Rice University, USA

* We regret to inform you that the public lecture by Thomas Y. Hou, California Institute of Technology, USA has been cancelled.

 

8. Special Lectures and Seminars: 16 - 18 Jan 2012



* Our office will be closed on the following dates being Singapore public holidays.

- Sunday, 6 Nov 2011 - Hari Raya Haji

  The following Monday, 7 Nov 2011 will be a public holiday

- Sunday, 25 Dec 2011 - Christmas Day

  The following Monday, 26 Dec 2011 will be a public holiday

- Sunday, 1 Jan 2012 - New Year's Day

  The following Monday, 2 Jan 2012 will be a public holiday

 

Students and researchers who are interested in attending these activities are requested to complete the online registration form.

The following do not need to register:

  • Those invited to participate.


 

 Venue

 

 

 

 

Organizing Committee · Visitors and Participants · Overview · Activities · Venue

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