UWEC Summer Research in Pure and Applied Mathematics (SUREPAM)

The following is a list of publications, preprints, and presentations of SUREPAM faculty with student collaborators, or student publications with faculty mentor.  (Complete lists of all faculty publications are available from their personal web pages.)

2009 Publications, Preprints, Reports

TAREK MOHAMED ELGINDI, KRISTEN JENSEN, AND XIAOQIN ZHOU (Faculty mentor: M. B. M. Elgindi), "A New Method for Approximating Eigenvalues / Vectors of A Real Symmatic Matrix in Parallel," Report AND "Mathlab Code," Matlab Code.

Hatem Kouriachi & David Peschman, (Faculty mentor: M. B. M. Elgindi), "Flow Rate Through A Blood Vessel Deformed Due To A Uniform Pressure "  Report.

KAITLYN HELLENBRAND, ANDREW LEE AND DANIEL WACKWITZ, (Faculty mentor: R.M. Howe), "DIFFERENTIAL OPERATORS AND PARTITION ALGEBRAS,"  Report.

ISAAC DEFRAIN, MITCH PHILLIPSON, (Faculty mentor:Simei Tong), Report.

MARK BAUER, BRENT MCKAIN, GORDON VOLK, (Faculty mentor:  J.S. Walker), "RHYTHMIC COMPLEXITY ANALYSIS,"  Report.

2008 Publications, Preprints, Reports

P. Allen and M. B. M. Elgindi, "On Component-wise Regualar Expansions of Non-singular Matrices,"  Preprint.

J. Bohn, A. Patchen.  (Faculty mentor: G. Craciun), "Numerical Investigations of Persistence of Mass-action Chemical Networks,"  Report.

A.S.  Padron, F.L.  Emmert, M.B.M. Elgindi, R. W. Langer, "On the Computation of Elgongational Viscosity-Shear Rate Temperature Master Curves for Polymeric Liquids."  To appear in Recent Research Developments in Applied Polymer Science, Research Signposts, December 2008.

K. Muir.  (Faculty mentor:  J.S. Walker), "Analyzing Musical Rhythm".   Preprint  (please read online to view the report's videos).

R. Steinbach and E. Bogdonoff.  (Faculty mentor: M. Penkava), "Cohomology and Deformation Theory."  Report.

2007 Publications, Preprints, Reports

X. Cheng, J.V. Hart, J.S. Walker, "Time-frequency Analysis of Musical Rhythm."   Accepted for publication by Notices of the American Mathematical Society.

X. Cheng, J.S. Walker, "Making Pictures of Music."  Webpage version of  presentation at 2008 Joint Mathematics Meetings, San Diego, California, Jan. 9, 2008.  

M.B.M. Elgindi and S.  Kouba, "Exploring Mathematical Models for Calculating Blood Alcohol Concentration," to appear in The Morehead Electronic Journal of Applicable Mathematics, 2009.

M.B.M. Elgindi and D.  Kincaid, "The Existence of Equilibrium States of an Elastic Membrane Trough under the Weight of a Fluid,"  to appear in The International Journal of Computational Intrelligence:Research and Applications.

A. McTavish and K. Czarnecki.  (Faculty mentor:  R.M. Howe), "Aspects of a Rotation Group Action."  Report.

M. Phillipson and J. Jo.  (Faculty mentor:  K. Shamseddine), "The Levi-Civita Field:  Intermediate Value Theorem and a Study of Field Automorphisms."  Preprint.

R. Steinbach.  (Faculty mentor:  M. Penkava), "The Cohomology of 2-Dimensional Associative Algebras: The 1|1 and 0|2 Cases."  Report.

E. Weber.  (Faculty mentor:  M.  Penkava), "The Cohomology of 2-Dimensional Associative Algebras: The 1|1 and 0|2 Cases."  Report.

Previous Publications

Mohamed Elgindi,  R. W. Langer, C. H. Leong and D.G. Mohr “Finite Difference Solution of the Heat Equation in a Molten Polymer Flowing in a Circular Tube,” accepted by Journal of Applied Polymer Sciences, August 2005.

 

Mohamed Elgindi,  R. W. Langer, and T. Awe “Internal Design of Uniform Shear Rate Dies,” Morehead Electronic Journal of Applications in Mathematics, Issue 4, 2005.

 

Mohamed Elgindi,  R. W. Langer, and G.T. Helleloid “On the Computation of Viscosity-Shear Rate-Temperature Master Curve for polymeric Liquids”,  Morehead Electronic Journal of Applications in Mathematics, Issue 1, 2001.

 

Mohamed Elgindi, M.A. El-Gebeily, and Y. A. B. Salem “On the Numerical Computations of Generalized Eigen Intervals for Symmetric Tridiagonal Interval Matrices,” Inter. J. of Control, 1999.

 

Mohamed Elgindi, M.A. El-Gebeily, and M. Yousuf “Necessary and Sufficient Conditions for Regularity and Stability of Interval Matrices,” Inter. J. of Computer Math, Volume 73, No 3&4, 1999.

Andrea J. Anderson (R. Michael Howe, advisor), A special case of Selberg's integral.  Rose-Hulman Undergraduate Math Journal (e-journal), Vol. 6, 2005.

Bodin, D. Fialowski, A. and Penkava, M,  Classification and versal deformations of \linf\ algebras on a $2|1$-dimensional space.  Homology, Homotopy and its Applications, Vol. 7,  pp. 55-86. 2005.

Otto, C. and Penkava, M, The Moduli space of 3-dimensional Lie algebras, To appear in Algebra and its Applications, 2006.

James S. Walker and Jeremy F. Alm, "Time-frequency analysis of musical instruments'' , SIAM Review, Vol. 44, pp. 457-476, 2002.

James S. Walker and Amanda J. Potts, "Time-frequency spectra of music'', Advances in Analysis:  Proceedings of 4th International ISAAC Congress.  World Scientific (2005), 487-493.  

James S. Walker, Tarek M. Elgindi, Ying-Jui Chen, "Comparison of JPEG 2000 and WDR methods."  Preprint.