Joseph Kolibal's research interests are broadly in the areas of applied and computational mathematics, mostly focusing on developing techniques for solving partial differential equations. He has a strong interest in computing and computational science, and is interested in working with students desiring to begin an undergraduate research program in interdisciplinary mathematics, including algorithmics, and mathematical physics.

D.Phil., Oxford University, 1990

M.Sc., D.I.C., Imperial College, University of London, 1977

B.S., Carnegie-Mellon University, 1974

University of Southern Mississippi, 1993-2012

University of Florida, 1991-1993

Oxford University

Submitted Publications

[1] E. Cenek and J. Kolibal, “Fast iterative Toeplitz solvers,” SIAM Journal of Matrix Analysis, 

Submitted, March 2012.

[2] A. Cibotarica and J. Kolibal, “Some specialized solutions of the Yang-Baxter equation,” Special

Issue Conference Proceedings, Nanjing International Workshop on Optimization and Scientific

Computing, Submitted, March 2012.

Refereed Publications

[1] T. Jiang, Z. Jiang, and J. Kolibal, “A numerical method for one-dimensional time-dependent

Schr¨odinger equation using radial basis functions,” International Journal of Computational

Methods, 2012.

[2] G. Yao, J. Kolibal, and C.S.Chen, “A localized approach for the method of approximate particular

solutions,” Computers and Mathematics with Applications, vol. 61, no. 9, pp. 2376–2387,

2011.

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Joseph Kolibal Research and publications

[3] C. Tsai, D. Young, and J. Kolibal, “An analysis of backward heat conduction problem using

the time evolution method of fundamental solutions,” CMES, vol. 66, no. 1, pp. 53–71, 2010.

[4] D. Howard, A. Brezulianu, and J. Kolibal, “Genetic programming of the stochastic interpolation

framework: Convection diffusion equation,” Soft Computing, Springer, 2009. DOI:

10.1007/s00500-009-0520-3.

[5] D. Howard, J. Kolibal, and A. Brezulianu, “Engineering presentation of the stochastic interpolation

framework and its applications,” Soft Computing, Springer, 2009. DOI: 10.1007/s00500-

009-0517-y.

[6] J. Kolibal and R. Bidaux, “Driven diffusion in solid media: a matrix formalism,” Journal of

Physics A, vol. 5, no. 42, p. 055201, 2009. DOI: 10.1088/1751-8113/42/5/055201.

[7] J. Ding, J. Kolibal, and N. Rhee, “Integral and non-negativity preserving Bernstein-type polynomial

approximations,” International Journal of Computer Mathematics, 2008.

[8] J. Kolibal and D. Howard, “Alternative parametric boundary reconstruction method for biomedical

imaging,” Journal of Biomedicine and Biotechnology, vol. 2008, p. 7, 2008. DOI:

10.1155/2008/623475.

[9] J. Kolibal and D. Howard, “MALDI-TOF baseline drift removal using stochastic Bernstein

approximation,” EURASIP Journal on Applied Signal Processing, Special Issue on Advanced

Signal Processing Techniques for Bioinformatics., vol. 2006, pp. 1–9, 2006. DOI:

10.1155/ASP/2006/63582.

[10] J. Kolibal, “Level set method for solving Poisson’s equation with discontinuous nonlinearities,”

Electronic Journal of Differential Equations, vol. 2005, no. 132, pp. 1–12, 2005.

[11] J. Kolibal and D. Howard, “Solution of differential equations with genetic

programming and stochastic Bernstein interpolation,” vol. http://www.geneticprogramming.

org/hc2005/cfe2005.html, June 2005. GECCO 2005 Conference, Washington,

D.C.

[12] J. Kolibal and J. Monde, “Fractal image error analysis,” Computers and Geosciences, vol. 24,

no. 8, pp. 785–795, 1998.

[13] J. Kolibal, “Importance of convection and damping rates of convergence for the Lax–Wendroff

method,” Siam Journal on Scientific Computing, vol. 20, no. 4, pp. 1513–1529, 1998.

[14] C. Saltiel and J. Kolibal, “Parallel radiative transport using a unified matrix approach,” Applied

Numerical Mathematics, vol. 25, pp. 499–509, 1997.

[15] P. Blass, J. Dodziuk, T. J. Ford, and J. Kolibal, “A C¥ spline construction,” Ulam Quarterly,

vol. 3, no. 2, pp. 11–17, 1996.

[16] J. Kolibal and C. Saltiel, “Adaptive Grid Generation for the Calculation of Radiative Configuration

Factor,” AIAA Journal of Thermophysics and Heat Transfer, vol. 7, 1993.

[17] J. Kolibal, “Extensions of Lax–Wendroff to Multicolor Schemes,” Ulam Quarterly, vol. 1, no. 3,

pp. 12–29, 1992.

[18] L. Ku and J. Kolibal, “Radioactivation characteristics of the tokamak fusion test reactor,” Nuclear

Technology/Fusion, vol. 4, pp. 586–598, November 1983.

10

Joseph Kolibal Research and publications

[19] L. Ku and J. Kolibal, “Investigation of the transport of deuterium-deuterium fusion neutrons in

thick concrete,” Nuclear Technology/Fusion, vol. 4, pp. 69–78, July 1983.

[20] L. Ku and J. Kolibal, “Neutronic calculations for the TFTR diagnostic penetration,” Nuclear

Technology/Fusion, vol. 2, pp. 313–331, April 1982.

Conference and Proceeding Publications

[1] J. Kolibal and D. Howard, “Stochastic interpolation: A probabilistic view,” in BLISS-2008, Bioinspired

Learning and Intelligent Systems for Security, Edinburgh, UK, pp. 129–135, IEEE,

IEEE Press, Aug 2008.

[2] D. Howard and J. Kolibal, “Stochastic interpolation as an approach to data regularization,”

p. B23, EMRS DTC, Aug 2008 .

http://www.emrsdtc.com/conferences/2008/downloads/conference papers/B23.pdf.

[3] J. Kolibal and D. Howard, “Parametric reconstruction of boundaries and surfaces for medical

images,” in Proceeding of the IEEE Conference Frontiers in the Convergence of Bioscience

and Information Technologies (FBIT 2007), pp. 508–511, IEEE, IEEE Press, Oct 2007. ISBN

0-7695-2999-2.

[4] J. Kolibal and D. Howard, “Image analysis by means of the stochastic matrix method of

function recovery,” in BLISS-2007, ECSIS Symposium on Bio-inspired Learning and Intelligent

Systems for Security, Edinburgh, UK, pp. 97–101, IEEE, IEEE Press, Aug 2007. DOI:

10.1109/BLISS.2007.3, ISBN:0-7695-2919-4.

[5] R. Seyfarth, J. Kolibal, and D. Howard, “New mathematical method for computer graphics,”

in Proceedings of 2006 International Conference on Hybrid Information Technology (ICHIT

2006). Vol I., (Cheju Island, South Korea), pp. 8–12, IEEE Press, Nov 11–13 2006.

[6] J. Kolibal and D. Howard, “Novel algorithm for MALDI-TOF baseline drift removal,” in Proceeding

of the IEEE CIBCB05 Conference, IEEE, October 2005.

[7] J. Kolibal and D. Howard, “The novel stochastic Bernstein method of functional approximation,”

in Adaptive Hardware and Systems, 2006. AHS 2006. First NASA/ESA Conference on,

(Istanbul, Turkey), pp. 97–100, IEEE Press, Jun 15–18 2006. DOI: 10.1109/AHS.2006.73.

[8] J. Kolibal and S. Lakhera, “Solving pdes using smooth interpolation methods,” in Frontiers in

Applied and Computational Mathematics Conference, FACM 2005, Center for Applied Mathematics

and Statistics, NJIT, May 2005.

[9] J. Kolibal, J. Qiao, and Y. Yang, “Fast Bernstein interpolation using block methods,” in Proceeding

of the 2003 EIMS Conference, EIMS, 2003.

[10] J. Kolibal and G. Gong, “Modeling cavitation using adaptive method,” in Second Southern

Conference on Computing, Hattiesburg, pp. 1–16, USM, October 2000. ISBN 0-89871-395-

1.

[11] J. Kolibal and S. Fang, “Integral kernel/frequency shift algorithm for image data compression,”

in Second Southern Conference on Computing, Hattiesburg, pp. 1–7, USM, October 2000.

ISBN 0-89871-395-1.

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Joseph Kolibal Research and publications

[12] J. Kolibal and G. Pitalo, “Assessing the thermochemistry and flow of the SSME diffuser with

air/nitrogen injection,” in Second Southern Conference on Computing, Hattiesburg, pp. 1–12,

USM, October 2000. ISBN 0-89871-395-1.

[13] J. Kolibal, “Solving PDE’s using a Gaussian basis,” in Second Southern Conference on Computing,

Hattiesburg, pp. 1–13, USM, October 2000. ISBN 0-89871-395-1.

[14] M. Eckhoff, J. Kolibal, and R. Seyfarth, “C++ data structures for modelling stochastic processes,”

in Second Southern Conference on Computing, Hattiesburg, pp. 1–12, USM, October

2000. ISBN 0-89871-395-1.

[15] J. Kolibal and S. Fang, “Parallel Bernstein interpolation in large scale models,” in First Southern

Conference on Computing, Hattiesburg, (Hattiesburg, MS), USM, December 1998. ISBN

0-89871-395-1.

[16] J. Kolibal and M. Eckhoff, “Assessing finite element solutions to the stochastic Sturm-liouville

equation,” in First Southern Conference on Computing, Hattiesburg, (Hattiesburg, MS), pp. 1–

20, USM, December 1998. ISBN 0-89871-395-1.

[17] J. Kolibal and G. Gong, “Parallel computation of sheet cavitation,” in Eighth SIAM Conference

on Parallel Processing for Scientific Computing, Minneapolis, (Philadelphi, PA), pp. 1–8,

SIAM, March 14-17 1997. ISBN 0-89871-395-1.

[18] J. Kolibal and L. Ladner, “Assessing numerical error in aggregation phenomena,” Transactions

of the 61st Annual Meeting, Mississippi Academy of Sciences, vol. MAS-97, no. 1, 1997.

[19] J. Kolibal and M. Eckhoff, “A single element Poisson solver,” Transactions of the 61st Annual

Meeting, Mississippi Academy of Sciences, vol. MAS-97, no. 1, 1997.

[20] J. Kolibal, “Solving pde’s using an L1 approximation of derivatives,” Transactions of the 61st

Annual Meeting, Mississippi Academy of Sciences, vol. MAS-97, no. 1, 1997.

[21] J. Kolibal and G. Pitalo, “Numerical modeling of altitude diffusers,” in 19th AIAA Advanced

Measurement and Ground Testing Technology Conference, (Washington, DC), pp. 1–10,

AIAA, June 17-20 1996.

[22] J. Kolibal and J. Monde, “Error in fractal imaging,” Transactions of the 60th Annual Meeting,

Mississippi Academy of Sciences, vol. MAS-96, no. 1, 1996.

[23] J. Kolibal and L. Ladner, “Aggregation fractals,” Transactions 59th Annual Meeting, Mississippi

Academy of Sciences, vol. MAS-95, no. 1, 1995.

[24] S. Liew, L. Ku, and J. Kolibal, “Shielding analysis for the horizontal X-ray imaging system on

the TFTR,” in Sixth Topical Meeting on the Technology of Fusion Energy, p. 326, ANC, March

1985.

[25] S. Liew, L. Ku, and J. Kolibal, “The effectiveness of building wall boration in controlling the

neutron population in a fusion facility,” in Sixth Topical Meeting on the Technology of Fusion

Energy, p. 469, ANC, March 1985.

[26] L. Ku and J. Kolibal, “A study of scattered fusion neutron distributions in a bounded cell,”

Transactions of the American Nuclear Society, vol. 46, p. 635, 1984.

[27] L. Ku and J. Kolibal, “Analysis of the major labyrinths in the test cell of the TFTR,” Transactions

of the American Nuclear Society, vol. 46, p. 623, 1984.

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Joseph Kolibal Research and publications

[28] L. Ku and J. Kolibal, “The effects of iron beams in concrete on the fast neutron flux perturbation

for fusion reactors,” in 10th Symposium on Fusion Engineering, p. 1869, 1983.

[29] L. Ku and J. Kolibal, “Prompt radiation environment for the TFTR, Q = 1 demonstration,” in

10th Symposium on Fusion Engineering, p. 1274, 1983.

[30] L. Ku and J. Kolibal, “Radioactive characteristics near TFTR for the Q = 1 demonstration

program,” Transactions of the American Nuclear Society, vol. 43, p. 285, 1982.

[31] L. Ku and J. Kolibal, “A systematic investigation of material activation on the TFTR,” Transactions

of the American Nuclear Society, vol. 47, p. 167, 1982.

[32] J. Kolibal and L. Ku, “Two dimensional scalar flux remeshing technique for tokamak nucleonics,”

Transactions of the American Nuclear Society, vol. 42, p. 514, 1982.

[33] L. Ku, J. Kolibal, and J. Giarrusso, “Diagnostic penetration study for the TFTR,” Transactions

of the American Nuclear Society, vol. 38, no. 565, 1981.

[34] L. Ku and J. Kolibal, “14 MeV neutron streaming through cylindrical ducts on TFTR,” Transactions

of the American Nuclear Society, vol. 39, November 1981.

Technical Reports

[1] J. Kolibal and D. Howard, “Stochastic matrix functions for image analysis(uc),” Tech. Rep.

QINETIQ/EMEA/IX/TR0700275/1.0, QinetiQ, Ltd, May 2007.

[2] J. Kolibal and D. Howard, “Stochastic matrix functions for image compressoin(uc),” Tech. Rep.

QINETIQ/D&TS/CS/TR0605474/1.2, QinetiQ, Ltd, March 2006.

[3] J. Kolibal and D. Howard, “Signal processing for the enhandced detection of difficult targets,”

Tech. Rep. KI/AS/TR050740/1.0, QinetiQ, Ltd, February 2005.

[4] J. Kolibal, “Assessment of diffuser thermochemistry using coupled computational

fluid/thermal dynamics modeling,” Tech. Rep. Contract SSC-139/NAS 13-564, NASA, Stennis

Space Center, MS, September 1998. Contract Final Report.

[5] J. Kolibal, P. Cinnella, and R. Gordon, “Computation/parallel processing final report,” Tech.

Rep. Contract NAGW-4458, EPSCoR, University, MS, September 1997.

[6] J. Kolibal, “Assessing diffuser design,” Tech. Rep. Contract SSC-057/NAS 13-564, NASA,

Stennis Space Center, MS, September 28 1996. Contract Final Report.

[7] J. Kolibal, “Modeling chemically reacting flows in hydrocarbon rockets,” tech. rep., NASAASEE,

Stennis Space Center, MS, August 1995. Summer Faculty Fellowship Program.

[8] J. Kolibal, “Modeling chemically reacting flows in hydrocarbon rockets,” tech. rep., NASAASEE,

Stennis Space Center, MS, August 1994. Summer Faculty Fellowship Program.

[9] J. Kolibal, “Technical notes for CHEQEUL and program description,” tech. rep., NASA-ASEE,

Stennis Space Center, MS, August 1994. Summer Faculty Fellowship Program.

[10] J. Kolibal, “Technical notes for pinellas study,” tech. rep., WBF, Palm Beach Gardens, FL,

September 1993. Contract work.

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Joseph Kolibal Research and publications

[11] J. Kolibal, “Application of the cell vertex method to incompressible flows,” tech. rep., Pratt and

Whitney, GEB, West Palm Beach, FL, June 1992. Progress Report.

[12] J. Kolibal, “Solutions of an Elliptic Boundary-Value Problem with a Discontinuous Nonlinearity,”

Tech. Rep. 87/11, Oxford University, Oxford, November 1987.

[13] J. Kolibal, L. Ku, and C. Pierce, “Meteorological data summaries for the TFTR from March

1984 to February 1985,” Tech. Rep. PPPL-2223, Princeton Plasma Physics Laboratory,

Princeton, NJ, 1985.

[14] L. Ku, J. Kolibal, and S. Liew, “A comparison of 1, 2, and 3 dimensional modeling of the TFTR

tokamak for nuclear radiation transport analysis,” Tech. Rep. PPPL-2244, Princeton Plasma

Physics Laboratory, 1985.

[15] L. Ku, J. Kolibal, and S. Liew, “A parametric analysis of neutron streaming through major

penetrations in the 0.914 m TFTR test cell floor,” Tech. Rep. PPPL-2243, Princeton Plasma

Physics Laboratory, 1985.

[16] L. Ku and J. Kolibal, “Effective dose removal cross section of 14 MeV neutrons,” Tech. Rep.

PPPL-1970, Princeton Plasma Physics Laboratory, 1983.

[17] L. Ku and J. Kolibal, “Estimated activation data for TFTR, Part II. Biological dose rate for

sample material activation,” Tech. Rep. PPPL-1828, Princeton Plasma Physics Laboratory,

1982.

[18] L. Ku and J. Kolibal, “Transport of DD fusion neutrons in thick concrete,” Tech. Rep. PPPL-

1914, Princeton Plasma Physics Laboratory, 1982.

[19] L. Ku and J. Kolibal, “Estimated neutron activation data for TFTR, Part I. The specific radioactivities,”

Tech. Rep. PPPL-1847, Princeton Plasma Physics Laboratory, 1981.