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Applied Mathematical Sciences |
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The Applied Mathematical Sciences Research
Cluster is geared towards the advancement of mathematics in the
sub-cluster areas of Biomathematics, Applied Partial and Ordinary
Differential Equations, Financial Mathematics, Operator Theory and
Cryptography, Mathematics Education, and Symmetry Analysis of
Differential Equations. Throughout history, these areas have both
stimulated and benefited from advances in the range of mathematical
sciences. These observations should not obscure the profound
scientific challenges posed by these areas on mathematical findings.
The combination of intellectual challenge and practical application,
together with the distinction of the faculty group engaging in the
discovery of new frontiers at the interface of mathematics and
application, helps to explain the value of the research undertaken
here. |
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View Faculty Highlights |
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Cluster Objectives |
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The mathematics interests of the
cluster covers a wide range of interesting contemporary areas of
mathematics stretching from modeling to computational simulations of
biological, physical, and informational phenomenal often enriched by
the inquest in the existence and uniqueness results of the ensuing
equations. Motivating applications include modern problems from
human physiological disorders, mathematical biology, bio-image
reconstruction and processing, cryptography, as well as classical
problems from physics and engineering. Ongoing research includes
computational modeling to analyze integrative biological function in
terms of underlying structure and molecular mechanisms (the IUPS
Human Physiome Project), mathematical models of the evolution and
dynamics of aneurysms, thin-film theory and image analysis,
prostheses dynamical analysis, public key crypto-analysis, operator
theory and cryptography, population dynamics, biomathematics,
quantum theory and infinite dimensional dynamical systems, symmetry
analysis of differential equations. |
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Cluster Subgroups |
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Information
Assurance and Computer Security |
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Information and
Intelligent Systems |
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Data, Information,
Modeling and Visualization |
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