Faculty Research Publications

2011

  • Mummert, A., “Modeling super-spreading events for infectious diseases: Case study SARS” Mkhatshwa and Mummert. IAENG International Journal of Applied Mathematics. 2011. Volume 41, Issue 2, pages 82-88.
  • Mummert, C., "Reverse mathematics and uniformity in proofs without excluded middle." Jeffry L. Hirst and Carl Mummert. Notre Dame Journal of Formal Logic v. 52, 2011, pp. 149-162.
  • Bohner, M., V. Sree Hari Rao, and Sanyal, S. Exponential Stability of Complex Valued Neural Networks on Time Scales. Differential Equations and Dynamical Systems, Volume 19, Numbers 1-2, 3-11, 2011.
  • Sanyal, S., On Mean Square Stability of Ito-Volterra Dynamic Equation.Nonlinear Dynamics and Systems Theory. 11 (1), 83-92, 2011.
  • Grow, D. and S.Sanyal. Brownian Motion indexed by a Time Scale. Stochastic Analysis and Applications. 29: 457-472, 2011.
  • Saveliev, P., Robustness of topology of digital images and point clouds, Proceedings of 23rd Canadian Conference on Computational Geometry, 2011, pp. 411-416.
  • Saveliev, P., A graph, non-tree representation of the topology of a gray scale image, in Image Processing: Algorithms and Systems IX, edited by Jaakko T. Astola, Karen O. Egiazarian, Proceedings of SPIE Vol. 7870 (SPIE, Bellingham, WA 2011) 78700O, O1-O19.

2010

  • Lawrence, B.A., "The Marshall Differential Analyzer: A Visual Interpretations of Mathematics”, Bonita Lawrence, Richard Merritt and Devon Tivener, Proceedings of Undergraduate Mathematics Day, University of Dayton, 2010.
  • Mummert, C., "Topological aspects of poset spaces." Carl Mummert and Frank Stephan. Michigan Mathematical Journal v. 59, 2010, pp. 3–24.
  • Mummert, C., "Stationary and convergent strategies in Choquet games." François G. Dorais and Carl Mummert. Fundamenta Mathematicae v. 209, 2010, pp. 59–79.
  • Pupplo-Cody, E., Contributed to Insider's Guide for Using and Understanding Mathematics: A Quantitative Reasoning Approach, 5/E, 2010
  • Bohner, M., and S. Sanyal, The Stochastic Dynamic Exponential and Geometric Brownian Motion on Isolated Time Scales. Commun. Math. Anal. 8 (2010), No. 3, pp.120-135.
  • Sarra, S. Algorithm 899: The Matlab Postprocessing Toolkit. ACM Transactions on Mathematical Software, vol. 37, no. 1, 2010.
  • Sarra, S. A Linear System-Free Gaussian RBF Method for the Gross-Pitaevskii equation on unbounded domains. Numerical Methods for Partial Differential Equations. August 2010. DOI: 10.1002/num.20623.

2009

  • Meyer, J., A. Pahwa, and P. Saveliev, Image analysis for high content screening with cellAnalyst, IEEE International Conference on Bioinformatics and Bioengineering, June 2009.
  • Saveliev, P., Topology based method of segmentation of gray scale images, International Conference on Image Processing, Computer Vision, and Pattern Recognition, pp. 620-626, 2009.
  • Sarra, S. Edge Detection Free Postprocessing for Pseudospectral Approximations. Journal of Scientific Computing, vol. 51, no. 1, p. 49-61, 2009.
  • Sarra, S. A Random Variable Shape Parameter Strategy for Radial Basis Function Approximation Methods (with D. Sturgill). Engineering Analysis with Boundary Elements, vol. 33, p. 1239-1245, 2009.
  • Sarra, S. Multiquadric Radial Basis Function Approximation Methods for the Numerical Solution of Partial Differential Equations (with E. J. Kansa). Advances in Computational Mechanics, volume 2, 2009. ISSN: 1940-5820
  • Ralph Oberste – Vorth, Bonita Lawrence and Aristides Mouzakitis, Bridge to Abstract Mathematics, Self-published, 2009.

2008

  • Akinsete, A.A. and Lowe, C. (2008). The beta-Rayleigh distribution in reliability measure. Proc. of the American Statistical Assoc.
  • Akinsete, A.A., Famoye, F. F., & Carl, L. (2008). The beta-Pareto Distribution. Statistics; A Journal of Theoretical and Applied Statistics. 42(6), 547-563
  • Akinsete, A.A. (2008). Generalized exponentiated beta distribution. Journal of Probability and Statistical Science. 6(1), 1-12
  • Brooks, C., “The Marshall Differential Analyzer Project: A Visual Interpretation of Dynamic Equations”, Advances in Dynamical Systems and Applications, (with Bonita Lawrence and students Saeed Keshavarzian and Richard Merritt, Vol. 3 No. 1 (2008)
  • Drost, D., Poem appeared in anthology, Strange Attractors: Poems love and mathematics [A.K.Peters, 2008]
  • Lawrence, B.A., C. Brooks, S. Keshavarzian, R. Merritt, The Marshall Differential Analyzer Project: A visual interpretation of dynamic equations (with Advances in Dynamical Systems and Applications (special issue dedicated to Prof. Peterson’s 65th birthday), Vol. 3 No. 1, pp. -- (2008).
  • E. Akin – Bohner, Z. Dosla, B. Lawrence. Oscillatory properties for three-dimensional dynamic systems, Nonlinear Analysis 69, pp. 483-494, (2008).
  • Sarra, S., A Numerical Study of the Accuracy and Stability of Symmetric and Asymmetric RBF Collocation methods for Hyperbolic PDEs. Numerical Methods for Partial Differential Equations, vol. 24, no. 2, p. 670 - 686, 2008.
  • Sarra, S., A Pseudospectral Method with Edge Detection Free Postprocessing for 2d Hyperbolic Heat Transfer. Numerical Heat Transfer, Part B: Fundamentals, vol. 54, no. 1, 2008, p. 52-61.

2007

  • Akinsete, A.A. & Lowe, C. (2007). Stochastic modeling of sports data. Proceedings of the American Statistical Association, Section on Statistics in Sports. 2581 – 2588.
  • Aluthge, A., On the spectrum of the invertible semi-hyponormal operators, Journal of Integral Equations and Operator Theory, 59(2007), pp. 299 – 307.
  • Karna, B., and B.A. Lawrence, Existence of positive solutions for multi-point boundary value problems, Electron. J. Qual. Theory Differ. Equ. 2007, No. 26, 11pp
  • J. Henderson and B. A. Lawrence, Existence of solutions for even ordered boundary value problems on a time scale, in Difference Equations, Special Functions and Orthogonal Polynomials, S. Elaydi, J. Cushing, R. Lasser, A. Ruffing, V. Papageorgiou, W. Van Assche, eds., World Scientific, 2007, pp. 369-377
  • B. A. Lawrence and R. W. Oberste-Vorth, Solutions of dynamic equations with varying time scales, in Difference Equations, Special Functions and Orthogonal Polynomials, S. Elaydi, J. Cushing, R. Lasser, A. Ruffing, V. Papageorgiou, W. Van Assche, eds., World Scientific, 2007, pp. 452-461
  • Silver, J. 10 GPS-UTM Modules. Mason County AMSPG Teacher Leadership Wiki and MU GIS website. 2007-2009 “A Great Circle Metric”, West Virginia Academy of Science, Vol. 78, No. 2, July 2007. (Co-author with Erik Stokes)

2006

  • Karna, B., and B.A. Lawrence, An existence result for a multipoint boundary value problem on a time scale, Adv. Difference Equ, Art ID 63208, (2006), 8pp.   
  • Karna, B., J. Henderson, J. Davis, Q. Sheng, and C.C. Tisdell, Existence of Solutions for Multipoint Boundary Value Problems for Nth Order Differential Equations, Nonliear Studies 13, No.1, (2006), 15-21. 
  • Sarra, S., Chebyshev Interpolation: an interactive tour. Journal of Online Mathematics and Applications, September 2006.
  • Sarra, S., Digital Total Variation Filtering as Postprocessing for Pseudospectral Methods for Conservation Laws. Numerical Algorithms, vol. 41, p. 17-33, 2006.
  • Sarra, S., Digital Total Variation Filtering as postprocessing for Radial Basis Function Approximation Methods. Computers and Mathematics with Applications, vol. 52, p. 1119-1130, Sept. 2006.
 
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