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Mathematical Theory and Numerical Methods for Computational Materials Simulation and Design
(1 Jul - 31 Aug 2009)
... Jointly organized with Department of Mathematics
in celebration of 80th Anniversary of Faculty of Science
Organizing Committee
· Visitors and Participants
· Overview
· Activities · Membership Application
Co-chairs
Members
Materials development today is still largely dependent on the
costly and time-consuming empirical approach: first process the
materials, then investigate their structure and properties, and
iterate this process many times over the processing parameter
space for further performance improvement. With the recent
advances in both the mathematical understanding of materials and
the advent in computing technology, computational simulations are
becoming key technologies to support future materials research and
development in both academia and industry. This has lead to a
paradigm shift for materials development towards the
materials by computational design approach. Such a new approach
promises to not only save cost but also accelerate the insertion
of new materials to applications. The new paradigm shift also
calls for greater participation of mathematicians and
computational scientists to address some fundamental questions
related to the development of computational materials simulations
and design, to improve the efficiency and reliability and to
enhance the predictive power of computation.
The new paradigm of materials by computational design is a
great scientific and mathematical challenge. A critical component
in the materials by computational design framework is the
computational prediction of materials properties which include for
instance, the multiscale properties of complex materials,
properties of defects, interfaces and material microstructures
under different conditions such as in the presence of
compositional and structural inhomogeneities and external fields.
Another extremely important aspect is the uncertainty
quantification and the modeling of simulation of stochastic
effects in materials.
This two-month program will provide a forum for experts
from interdisciplinary fields to
discuss the various issues and challenges facing the community.
It will bring leading international
applied and pure mathematicians, physicists, materials scientists and
computational scientists together to review, develop and
promote interdisciplinary researches on problems at the interface
between mathematics and materials sciences.
It will provide a forum to highlight the
progress in a broad range of topics, within a coherent theme and
with greater emphasis on the mathematical theory and numerical
methods for computational materials simulation and design.
The program participants will:
present the recently developed mathematical theories,
including modeling, analysis and computational techniques that is
relevant to mathematical and computational materials sciences. discuss and compare different scientific models proposed
recently related to the latest development in computational
materials simulation and design. identify critical scientific issues in the understanding of
computational materials science and difficulties in both commonly
interest in different disciplines and special considerations in
each specific area. accelerate the interaction of mathematicians and materials
scientists by stimulating lively debate on important
interdisciplinary research issues, and promote the highly
interdisciplinary research with emerging applications and cross
fertilization of ideas. -
develop and foster international collaborations of
scientific researches in computational materials simulation and design.
The program activities will consist of two workshops, a summer school, public lectures, working seminars and collaborative research.
1. Collaborative research: July 1 - August 31, 2009
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. Summer School:
July 17 - August 14, 2009
The Summer School brings together senior undergraduate students and graduate students to the study of Mathematical Theory and Numerical Methods for Computational Materials Simulation and Design. 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 computational materials simulation and design in this summer school.
3. Workshop 1: July 20 - 24, 2009
Title: Challenges and Advances in Computational Materials
Simulations and Design
Rationale: This workshop will focus on the materials by computational design
framework, including the studies of issues in materials science
theory, mathematical modeling and analysis, and numerical
simulations and designs. Emphasis will be placed on the discussion
of the emerging materials by computational design concept,
mathematical challenges, multiscale modeling and simulation
techniques, and applications to specific materials ranging from
alloys to complex fluids.
4. Workshop 2: August 10 - 14, 2009
Title: Mathematical Theory and Computational Methods in Materials
Sciences
Rationale: This workshop will extend the discussion in Workshop 1 but
with emphasis on recent development of mathematical theory
and computational methods. Participants will explore
multiscale modeling concepts, rigorous mathematical foundation
and analysis, efficient
numerical algorithms, verification and validation of simulations,
error and uncertainty quantification.
Emphasis will be placed on the development of
new mathematical theory and numerical algorithms
for multiscale problems in materials sciences, and new approaches
for studying interfaces, dislocations, defects and singularities.
5. Special Seminar
Title: Applied Partial Differential Equations: The Cambridge PDE Group
Date & Time: 18 Aug 2009, 2.00pm - 3.00pm
Speaker: Peter Markowich, University of Cambridge, UK
Venue: IMS Auditorium
6. Colloquium Talks
Title:
High-temperature Versus
Low-temperature Superconductors: A Mathematical Description
Date & Time: 5 Aug 2009, 2.00pm - 3.00pm
Speaker: Patricia Bauman, Purdue University, USA
Venue: Colloquium Room A (S14, #03-10)
Department of Mathematics, Faculty of Science
National University of Singapore
Title:
Centroidal Voronoi
Tessellations, Meshes and PDEs
Date & Time: 5 Aug 2009, 4.00pm - 5.00pm
Speaker: Qiang Du, Pennsylvania State University, USA
Venue: Colloquium Room A (S14, #03-10)
Department of Mathematics, Faculty of Science
National University of Singapore
Title: Modeling and Analysis of Collective Behavior of Self-propelled Agents
Date & Time: 19 Aug 2009, 2.00pm - 3.00pm
Speaker: Jian-Guo Liu, Duke University, USA
Venue: Colloquium Room A (S14, #03-10)
Department of Mathematics, Faculty of Science
National University of Singapore
7. Public lectures
Distinguished researchers will give public lectures
on topics in physical modeling, mathematical theory, computational
methods and applications related to computational materials
simulation and design.
Title: Mathematics in the Public Eye - The Story of Perelman and the
Poincaré Conjecture
Date & Time: 22 July 2009, 6.30pm - 7.30pm
Speaker: Sir
John Ball,
University of Oxford, UK
Venue: LT31, Block S16,
Level 3, Faculty of Science,
National
University of Singapore,
Singapore
117543
Title:
Roles of Differential Equations in Mathematics and Sciences
Date & Time: 11 Aug 2009, 6.30pm - 7.30pm
Speaker: Fanghua Lin, Courant Institute, New York
University, USA
Venue: LT31, Block S16,
Level 3, Faculty of Science,
National
University of Singapore,
Singapore
117543
For attendance at these activities, please complete the
online registration form.
The following do not need to register:
The Institute for Mathematical Sciences
invites applications for membership for participation in the
above program. Limited funds to cover travel and living
expenses are available to young scientists. Applications
should be received at least three (3) months before the
commencement of membership. Application form is available in
(MSWord|PDF|PS) format for download.
Application is
closed.
- More information is available by writing to:
- Secretary
Institute for Mathematical Sciences
National University of Singapore
3 Prince George's Park
Singapore 118402
Republic of Singapore
- or email to imssec(AT)nus.edu.sg.
For enquiries on scientific aspects of the program, please
email Weizhu Bao at
matbaowz(AT)nus.edu.sg.
Organizing Committee
· Visitors and Participants
· Overview
· Activities · Membership Application |
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