MATHEMATICAL SCIENCES CLUSTER 7

RESEARCH CLUSTERS TOR A. KWEMBE

BIOMATHEMATICS

• INTERDISCIPLINARY GROUP FUNDED BY THE NSF • MATHEMATICAL MODELS OF AQUATIC ECOSYSTEMS – MODELS OF AQUATIC POPULATION GENETICS – GENOMIC BIOINFORMATICS – CONSERVATION AND RESTORATION OF COASTAL/MARINE SEAGRASS HABITAT – MOLECULAR GENETICS OF COASTAL/MARINE SEAGRASS, THE ESSENTIAL FISHERIES HABITAT

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Hyun J. Cho Dmitri Sobolev Rafeal Isokpehi Tor A. Kwembe Zenbu Zhang

FACULTY

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Biology Biology Biology Mathematics Mathematics

APPLIED PARTIAL AND ORDINARY DIFFERENTIAL EQUATIONS

• DIFFUSION MODELS OF TUMOR GROWTH AND ANALYSIS • INSTABILITY AND STABILITY OF ANNEURYSMAL WALLS • DIFFUSION MODELS OF POPULATION DYNAMICS • THE HEAT KERNEL BASED THREE DIMENSIONAL (3D) RECONSTRUCTION OF OBJECTS FROM TWO-DIMENSIONAL (2D) PARALLEL CONTOURS

FACULTY • • • • •

Celestin Wafo Soh Djiby Fall Tor A. Kwembe Zenbu Zhang Raghu Gompa

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Mathematics Mathematics Mathematics Mathematics Mathematics

FINANCIAL MATHEMATICS

• Utilization of radial basis functions to interpolate financial data • Radial basis functions approximation of quadratic VaR portfolios of long/short equities • Option pricing using Adomian decomposition method

FACULTY

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Bassirou Diatta Celetin Wafo Soh Tor A. Kwembe Djiby Fall

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Mathematics Mathematics Mathematics Mathematics

OPERATOR THEORY AND CRIPTOGRAPHY

• Iterated Function Systems of Steganography (IFSS) • Iterated Function Systems of Cryptosystems • Operator with Trivial Range Intersections • Multiplier Transformations on Spaces • Transference of Maximal Multiplier Operators on Local Hardy-Lorentz Spaces • Parabolic Fractional Singular Integral Solutions of Semilinear Diffusion Equations

FACULTY

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Mohammad Khadivi Daning Chen Tor A. Kwembe Roosevelt Gentry

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Mathematics Mathematics Mathematics Mathematics

MATHEMATICS EDUCATION

• STRUCTURING CURRICULUM AND INTEGRATING RESEARCH • INTERATIVE TEACHING AND LEARNING • Learning Communities in STEM disciplines • The scholarship of Learning and Teaching

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Vijaya Gompa Raghu Gompa Edna Holbrook Tor A. Kwembe

FACULTY

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Mathematics Mathematics Mathematics Mathematics

SYMMETRY ANALYSIS OF DIFFERENTIAL EQUATIONS • • •

Symmetry reductions and new exact solutions of the generalized Burgers equation arising in nonlinear acoustics Integration of stochastic ordinary differential equations from a symmetry standpoint Non-static Shear-free Spherically Symmetric Charged Perfect Fluid Distributions: a Symmetry Approach

FACULTY

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Celestin Wafo Soh Bassirou Diatta Djiby Fall

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Mathematics Mathematics Mathematics