a presentation by wayne lawton department of mathematics national university of singapore

A PresentationBy

Wayne LawtonDepartment of Mathematics

National University of Singapore

INTRODUCTIONINTRODUCTION

Mathematics – the fundamental language of Science and

Engineering and provides a rich source of intellectual tools for solving scientific and industrial problems

“Too few people recognize that the high technology so celebrated today is essentially a mathematical technology. “

by Edward E. David (former president of Exxon R & D)

INTRODUCTIONINTRODUCTION

Many universities and research institutions in US, Europe, UK and Australia have formed centres to recognise the fundamental role of Mathematics in solving scientific and industrial problems

International CentresInternational Centres

Oxford Centre for Industrialand Applied Mathematics(OCIAM)

Minnesota Centre for Industrial Mathematics

International CentresInternational Centres

International Centres

Involved 18 universities throughout EuropeInvolved 18 universities throughout Europe

To promote and conduct upstream multidisciplinary research in mathematics as well as research in industry related problems that can be modelled mathematicallyTo act as a focal point for industrial and applicable mathematics within NUS and more widely Singapore, and to link with similar activities on a world-wide basis

OBJECTIVES OF CIMOBJECTIVES OF CIM

To enhance our undergraduate and postgraduate education programmes by providing opportunities for our best students to work on research with real life applications To develop tools and mathematical methods for advanced scientific computingTo publish high quality multi-disciplinary research in mathematics and its applications in international refereed journals and conferences

OBJECTIVES OF CIMOBJECTIVES OF CIM

Core Expertise in Strategic Core Expertise in Strategic AreasAreas

CIM also aims to build on the strength of the Department in the following five strategic research areas relevant to the economic activities of Singapore:– Wavelets, Approximation and Information

Processing– Coding Theory and Information Integrity– Scientific Computing, Optimization and

Operational Research– Computational Biology– Financial Mathematics and Mathematical

Economics

ORGANIZATION OF CIMORGANIZATION OF CIM

Formed in July 2001An umbrella organization – Co-ordinate and support the activities of the five

strategic research groups in the Department of Mathematics

– Build industrial links– Provide manpower training and upgrading skills in

mathematical sciencesStaffing in the centre:– Director– Deputy Director– Staff members interested in multidisciplinary

research in mathematics and its applications to solve scientific, engineering and industrial problems

INTERNATIONAL LINKSINTERNATIONAL LINKS

Necessary to tap into international talent pool for CIM to contribute to the solutions of a wide range of industrial problemsEstablished links with similar centres in US and EuropeEuropean representatives pledged their support for the proposed CIM to be a member of ECMICWAIP will be a major component. It has established strong research ties with the Wavelets IDR Centre and research collaborations with John Hopkins Medical School in the US

IHPC-CIM CollaborationIHPC-CIM Collaboration

Wavelets-Galerkin Method for PDEsComputational OptimizationLarge-Scale Problems in Systems and ControlMathematical Modeling, Analysis and Simulation in Material ScienceDifferential Algebraic Equation and its ApplicationsWavelets for Data Compression in e-Engineering Applications

Research funding support from IHPC for 2001-2005: To conduct upstream basic and applied research in the following areas in Scientific Computing:

IHPC-CIM CollaborationIHPC-CIM Collaboration

Other Cooperation:Co-supervision of M.Sc. and Ph.D. studentsCo-supervision of post-doctoral research fellowsJoint organization of Seminars, symposia and local/international conferences

Some other Industrial Some other Industrial CollaborationsCollaborations

CIM-Singapore International Airlines Projects on (1) Airline Pricing Models (2) Wait List Model and Benefit Assessment – Co-supervision of M.Sc students– Scholarship top-up from SIA for M.Sc. Project

Some Industrial Some Industrial CollaborationsCollaborations

Industrial Attachments at CIM:(1) Financial Software for Pricing Exotic

Options (2) Risk Management Systems for Interest Rate Derivatives (3) Comparison of Simulation Methods for Estimating Value at Risk

Education InitiativesEducation Initiatives

Coordinate the running of the General Education module: Introduction to CybercrimeCoordinate the Joint NUS-TUM M.Sc. Program in Financial and Industrial Mathematics

The End