UoGuelph <img src="analysis-000479.png" width=468 height=150 border=0>

Publications

A list of publications with applied analysis research group members as (co-)authors follows.

Submitted
57 L. Arbuckle and H. Kunze, “A preamplification scheme to create integer-arithmetic wavelet transforms,” submitted.
56 A. Bucci, H. Kunze, D. La Torre, “Learning by doing, population and economic growth in a Lucas and Uzawa-type two sectore model,” submitted.
55 M.R. Garvie, “Analysis of two generic spatially extended predator-prey models,” submitted.
54 H. Kunze and P. Aroda, “Monotonicity with respect to initial conditions for the SIS epidemic reaction-diffusion equation model,” submitted.
53 H. Kunze, D. La Torre, and E. Vrscay, “Solving inverse problems for PDEs in terms of the Lax-Milgram functional and a ‘generalized collage’ method,” submitted.
52 H. Kunze, D. La Torre, K. Levere, and E. Vrscay, “Solving inverse problems for Hammerstein integral equations and their random analogs,” submitted.
51 H. Kunze, D. La Torre, K. Levere, and E. Vrscay, “Solving inverse problems for delay integral equations and their random analogs,” submitted.
2009
51 H. Kunze, D. La Torre, and M. Demers, “Iterated function systems and random greyscale maps,” International Journal of Image Processing, 2009.
50 H. Kunze, D. La Torre, C. Colapinto, and J.Loncar, “Parameter estimation for differential equations using fractal-based methods and applications to economics,” Mathematical Methods in Economics and Finance, 2009.
49 H. Kunze, D. La Torre, and E.R. Vrscay, “Fractals and self-similarity,” 10th European Congress of Stereology and Image Analysis Proceedings, 2009.
48 K. Levere and H. Kunze, “An inverse problem for the Hammerstein integral equation with application to imaging,” 10th European Congress of Stereology and Image Analysis Proceedings, 2009.
47 M. Demers, H. Kunze, and D. La Torre, “Random IFSM with applications,” 10th European Congress of Stereology and Image Analysis Proceedings, 2009.
46 K. Levere, H. Kunze, and D. La Torre “Using the collage method to solve 1-D two-point boundary value problems at steady-state,” Nonlinear Analysis: Theory, Methods, and Applications, in press, available online February 3, 2009.
45 M. Demers and H. Kunze, “Applications of near-optimal parent-child pairs in fractal imaging coding,” Nonlinear Analysis: Theory, Methods, and Applications, in press, available online January 30, 2009.
44 H. Kunze and S. Vasiliadis, “Using the collage method to solve ODEs inverse problems with multiple data sets,” Nonlinear Analysis: Theory, Methods, and Applications, in press, available online January 28, 2009.
43 H. Kunze, D. La Torre, and E. Vrscay, “A generalized collage method based upon the Lax-Milgram functional for solving boundary value inverse problems,” Nonlinear Analysis: Theory, Methods, and Applications, in press, available online January 24, 2009
42 H. Kunze, D. La Torre, and E. Vrscay, “Inverse problems for random differential equations using the collage method for random contraction mappings,” J. Comp. Appl. Math., 223(3), 2009.
41 H. Kunze and D. La Torre, “Solving inverse problems for differential equations by the collage method and applications to economics,” Int. J. Optimization: Theory, Methods, and Applications, 1(4), 2009.
2008
40 V. Capasso, H. Kunze, D. La Torre, E.R. Vrscay, “Parameter identification for deterministic and stochastic differential equations using the `collage method' for fixed point equations,” Advances in Nonlinear Analysis: Theory, Methods, and Applications, Cambridge Scientific Publishers, 2008 (S. Sivasundaram, ed.).
39 M. Demers and S.J. Gismondi, “Enumerating facets of Q0/1,” Utilitas Mathematica, 77, 2008.
38 S.J. Gismondi, “Linking subgraph isomorphism and the Hamilton tour decison problem,” Utilitas Mathematica, 76, 2008.
37 H. Kunze, D. La Torre, and E. Vrscay, “From iterated function systems to iterated multifunction systems,” Comm. Appl. Anal., 15(4):1-13, 2008.
2007" style="height: 20px">2007
36 M.R. Garvie and C. Trenchea, “Finite difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB,” Bulletin of Mathematical Biology, 69(3)(931-956), 2007.
35 M.R. Garvie and C. Trenchea, “Finite element approximations of spatially extended predator-prey interactions with the Holling type II functional response,” Numerische Mathematik, 2007.
34 M.R. Garvie and C. Trenchea, “Optimal control of a 'nutrient-phytoplankton-zooplankton-fish' system,” SIAM Journal On Control and Optimization, 2007.
33 H. Kunze, D. La Torre and E. Vrscay, “Random fixed point equations and inverse problems using the ‘collage method’ for contraction mappings,” J. Math. Anal. Appl., 334:1116-1129, 2007.
32 H. Kunze and K. Heidler, “The collage coding method and its application to an inverse problem for the Lorenz system,” J. Appl. Math. Comp., 186 (1), 2007.
31 H. Kunze, D. La Torre and E. Vrscay, “Solving inverse problems for differential equations by the collage method and applications to variational optimization,” IPDO Proceedings, 2007.
30 H. Kunze, D. La Torre and E. Vrscay, “Solving inverse problems for random equations and applications,” IPDO Proceedings, 2007.
2006
29 H. Kunze, D. La Torre and E. Vrscay, “Contractive multifunctions, fixed point inclusions and iterated multifunction systems,” J. Math. Anal. Appl., 330:159-173, 2006.
28 H. Kunze, M. Demers, and K. Levere, “Fractals tops and colour stealing,” Maplesoft Conference 2006 Proceedings, 2006.
27 D. Crabtree and H. Kunze, “A collage coding approach to inverse problems for first-order quasilinear partial differential equations, with applications to traffic flow,” Maplesoft Conference 2006 Proceedings, 2006.
26 H. Kunze and S. Murdock, “Solving inverse two-point boundary value problems using collage coding,” Inverse Problems, 22, 2006.
2005
25 L. Arbuckle and H. Kunze, “Using wavelet transforms and lossless coding,” Maplesoft Conference 2005 Proceedings, 2005.
24 J.F. Blowey and M.R. Garvie, “A reaction-diffusion system of lambda-omega type. Part I: mathematical analysis,” European Journal of Applied Mathematics, 16(1)(1-19), 2005.
23 J.F. Blowey and M.R. Garvie, “A reaction-diffusion system of lambda-omega type. Part II: numerical analysis,” European Journal of Applied Mathematics, 16(5)(621-646), 2005.
22 H. Kunze and D. Crabtree, “Using collage coding to solve inverse problems in partial differential equations,” Maplesoft Conference 2005 Proceedings, 2005.
21 H. Kunze, “Using collage coding to solve inverse problems in ordinary and partial differential equations,” Fractals in Engineering 2005, Tours, France, 2005.
2004
20 S.J. Gismondi and E.R. Swart, “A model of the coNP-complete non-Hamilton tour decision problem,” Math. Prog. Series A, 100(3)(471-483), 2004.
19 H. Kunze, J.E. Hicken and E. Vrscay, “Inverse problems for ODEs using contraction maps: suboptimality of the ‘collage method’,” Inverse Problems, 20, 2004.
2003
18 S.J. Gismondi, “An O(n3) sized external representation of a factorial faceted, factorial extreme point polytope,” Utilitas Mathematica, 63(109-114), 2003.
17 H. Kunze and S. Gomes, “Solving an inverse problem for Urison-type integral equations using Banach’s fixed point theorem,” Inverse Problems, 19, 2003.
2002
16 S.J. Gismondi and T. Spoljaric, “Indicators of Ontario travel trends to the U.S. South Atlantic region related to Canadian/U.S. exchange rates,” Proceedings of the 2002 Annual Conference, Hospitality and Tourism Management Division, Administrative Sciences Association of Canada, 23, 2002.
15 H. Kunze and D. Siegel, “Monotonicity properties of chain reactions with an initial bimolecular step,” J. Math. Chem., 31, 2002.
14 H. Kunze and E. Vrscay, “Using the Picard contraction mapping to solve inverse problems for ODEs,” Proceedings of the IMA Symposium on Fractals in Multimedia, 2002.
13 H. Kunze and D. Siegel, “A graph theoretic approach to monotonicity with respect to closed convex cones,” Positivity, 6(95-113), 2002.
2001
12 S.J. Gismondi and E.R. Swart, “A factorial faceted, factorial extreme point polytope crafted from the assignment polytope,” Utilitas Mathematica, 60(181-192), 2001.
11 H. Kunze and D. Siegel, “Monotonicity with respect to closed convex cones II,” Applicable Analysis, 77(3-4), 2001.
1999
10 S.J. Gismondi and W. Yang, “Modeling trip related determinants of expenditures for Canadian inbound travellers from Japan, Hong Kong and Taiwan,” Proceedings of the 1999 Annual Conference, Hospitality and Tourism Management Division, Administrative Sciences Association of Canada, 20, 1999.
9 S.J. Gismondi, “The ray algorithm - an easy to implement facet finding algorithm for convex polytopes,” Proceedings of the 1999 Annual Conference, Management Sciences Division, Administrative Sciences Association of Canada, 20, 1999.
8 H. Kunze and E. Vrscay, “Solving inverse problems for ODEs using the Picard contraction mapping,” Inverse Problems, 15, 1999.
7 H. Kunze and D. Siegel, “A graph theoretical approach to monotonicity with respect to initial conditions II,” Nonlinear Analysis: Theory, Methods & Applications, 35, 1999.
6 H. Kunze and D. Siegel, “Monotonicity with respect to closed convex cones,” Dynamics of Continuous, Discrete, and Impulsive Systems, 5, 1999.
pre-1997
5 H. Kunze and D. Siegel, “Monotonicity properties of chemical reactions,” Nonlinear Studies, 4(2), 1997.
4 S.J. Gismondi and E.R. Swart, “A new type of 4-colour reducibility,” Congressus Numerantium, 82, 1996.
3  H. Kunze and D. Siegel, “A graph theoretical approach to monotonicity with respect to initial conditions,” in Comparison Methods and Stability Theory, X.Liu and D.Siegel, eds., Marcel Dekker, 1994.
2 D. Siegel and H. Kunze, “Monotonicity properties of solutions to the SIS and SIR epidemic models,” J. Math. Anal. Appl., 185(1), July 1, 1994.
1 S.J. Gismondi, “Dueling cubes,” Utilitas Mathematica, 54(241-251), 1988.