Research Groups

Publications

Grants/Funding

Centers/Labs




RECENT PUBLICATIONS


  • Bernard Bialecki
    • "A Crank-Nicolson orthogonal spline collocation method for vibration problems", B. Li, G. Fairweather and B. Bialecki, Appl. Num. Math., 33 (2000), 299-306.
    • "A Legendre spectral collocation method for the biharmonic Dirichlet problem", B. Bialecki and A. Karageorghis, Mathematical Modelling and Numerical Analysis, 34 (2000), 637-662.
    • "A Legendre spectral Galerkin method for the biharmonic Dirichlet problem", B. Bialecki and A. Karageorghis, SIAM J. Sci. Comput., to appear.
    • "Orthogonal spline collocation for nonlinear elliptic boundary value problems", A. Aitbayev and B. Bialecki, SIAM J. Numer. Anal., to appear.
    • "Spline collocation methods for partial differential equations", B. Bialecki and G. Fairweather, J. Comp. Appl. Math., to appear.


  • Tracy Camp
    • T. Camp and Y. Liu, An Adaptive Mesh-based Protocol for Geocast Routing. Journal of Parallel and Distributed Computing: Special Issue on Routing in Mobile and Wireless Ad Hoc Networks, vol. 62, no. 2, pp. 196-213, February 2003.
    • T. Camp, J. Boleng, and V. Davies, A Survey of Mobility Models for Ad Hoc Network Research, Wireless Communication & Mobile Computing (WCMC): Special issue on Mobile Ad Hoc Networking: Research, Trends and Applications, vol. 2, no. 5, pp. 483-502, 2002.
    • B. Williams and T. Camp. Comparison of Broadcasting Techniques for Mobile Ad Hoc Networks, Proceedings of the ACM International Symposium on Mobile Ad Hoc Networking and Computing (Mobihoc), pp. 194-205, 2002.
    • T. Camp, J. Boleng, B. Williams, L. Wilcox, and W. Navidi, "Performance Comparison of Two Location Based Routing Protocols for Ad Hoc Networks'" Proceedings of the 21st Annual Joint Conference of the IEEE Computer and Communications Societies (INFOCOM 2002), pp.1678-1687, 2002.
    • T. Camp and L. Wilcox and J. Boleng, "Location Information Services in Mobile Ad Hoc Networks", IEEE International Conference on Communications (ICC 2002), pp.3318-3324, 2002.
    • J. Boleng, T. Camp, and V. Tolety. "Mesh-based Geocast Routing Protocols in an Ad Hoc Network", Proceedings of the 15th International Parallel and Distributed Processing Symposium on Issues in Wireless Networks and Mobile Computing (IPDPS 2001), pp. 184-193, April 2001.
    • T. Camp, J. Lusth, J. Matocha, and C. Perkins. "Reduced Cell Switching in a Mobile Computing Environment," Proceedings of Sixth ACM International Conference on Mobile Computing and Networking (MOBICOM '00), Boston, pp. 143-154, August 2000.
    • S. Burdette, T. Camp, and B. Bynum, "Distributed BACI: A Toolkit for Distributed Applications," Concurrency: Practice and Experience, vol. 12, pp. 35-52, 2000.
    • S. Tomic, S. Vrbsky, and T. Camp, "Age-Star (a*): A New Definition of Age in a Real-Time Database System," Information Sciences, vol. 124, pp. 139-152, 2000.


  • Zizhong Chen
    • Algorithm-Based Fault Tolerance for Fail-Stop Failures. Zizhong Chen and Jack Dongarra IEEE Transactions on Parallel and Distributed Systems, Vol. 19, No. 12, December, 2008.
    • A Scalable Checkpoint Encoding Algorithm for Diskless Checkpointing. Zizhong Chen and Jack Dongarra Proceedings of the 11th IEEE High Assurance Systems Engineering Symposium, (HASE'08), Nanjing, China, December 3 - 5, 2008. EEE Computer Society Press.
    • Recovery Patterns for Iterative Methods in a Parallel Unstable Environment. Julien Langou, Zizhong Chen, George Bosilca, and Jack Dongarra SIAM Journal on Scientific Computing, 30(1):102-116, 2007.
    • Self Adaptive Application Level Fault Tolerance for Parallel and Distributed Computing. Zizhong Chen, Ming Yang, Guillermo Francia, III, and Jack Dongarra. Proceedings of the 21st IEEE International Parallel & Distributed Processing Symposium, DPDNS'07 Workshop, Long Beach, CA, USA, March 26-29, 2007. IEEE Computer Society Press.
    • Algorithm-Based Checkpoint-Free Fault Tolerance for Parallel Matrix Computations on Volatile Resources. Zizhong Chen and Jack Dongarra. Proceedings of the 20th IEEE International Parallel & Distributed Processing Symposium (IPDPS 2006), Rhodes Island, Greece, April 25-29, 2006. IEEE Computer Society Press.
    • Numerically Stable Real Number Codes Based on Random Matrices. Zizhong Chen and Jack J. Dongarra. Proceedings of the 5th International Conference on Computational Science (ICCS2005), Atlanta, Georgia, USA, May 22-25, 2005. LNCS 3514, Springer-Verlag.
    • Condition Numbers of Gaussian Random Matrices. Zizhong Chen and Jack J. Dongarra. SIAM Journal on Matrix Analysis and Applications, Volume 27, Number 3, Page 603-620, 2005.


  • Jon Collis
    • J. M. Collis, T. F. Duda, J. F. Lynch, and H. A. DeFerrari, Observed limiting cases of horizontal field coherence and array performance in a time-varying internal wavefield, J. Acoust. Soc. Am., 124, EL97 - EL103 (2008).


  • Mahadevan Ganesh
    • Simulation of acoustic scattering by multiple obstacles in three dimensions. (With S. C. Hawkins) Aust. & NZ Indus. Appl. Math. (ANZIAM) J., 50 (2008), 31-45
    • A high-order tangential basis algorithm for electromagnetic scattering by curved surfaces. (With S. C. Hawkins) J. Comp. Phys., 227 (2008), 4543-4562.
    • Sparse approximate inverse preconditioners for electrromagnetic surface scattering simulations. (With S. C. Hawkins) Aust. & NZ Indus. Appl. Math. (ANZIAM) J., 49 (2007), 155-169.
    • A hybrid high-order algorithm for radar cross section computations. (With S. C. Hawkins) SIAM J. Sci. Comp., 29 (2007), 1217-1243.
    • Sparse preconditioners for dense complex linear systems arising in some radar cross section computations. (With S. C. Hawkins) Aust. & NZ Indus. Appl. Math. (ANZIAM) J., 48 (2007),233-248.
    • Efficient evaluation of highly oscillatory acoustic scattering surface integrals. (With S. Langdon and I. H. Sloan) J. Comp. Appl. Math., 204 (2007),363-374.
    • An efficient surface integral method for the time-harmonic Maxwell equations. (With S. C. Hawkins) Aust. & NZ Indus. Appl. Math. (ANZIAM) J., 48 (2007),17-33.
    • A fully discrete H 1-Galerkin method with quadrature for nonlinear advection-diffusion-reaction equations. (With K. Mustapha) Numer. Algorithms, 43 (2006), 355-383.
    • A Spectrally accurate algorithm for electromagnetic scattering in three Dimensions. (With S. C. Hawkins) Numer. Algorithms, 43 (2006), 25-60.
    • Quadrature-free quasi-interpolation on the sphere. (With H. N. Mhaskar) Elec. Trans. Numer. Anal., 25 (2006), 101-114.
    • Improved high-order algorithms for dielectric Mie scattering. (With S. C. Hawkins) WSEAS Trans. Math., 5 (2006), 663-670.
    • A Petrov-Galerkin method with quadrature for semi-linear second-order hyperbolic problems. (With B. Bialecki and K. Mustapha) Numer. Meth. PDEs., 22 (2006), 1052-1069.
    • Matrix-free interpolation on the sphere. (With H. N. Mhaskar) SIAM J. Numer. Anal., 44 (2006), 1314-1331.


  • Qi Han
    • Iosif Lazaridis, Qi Han, Sharad Mehrotra and Nalini Venkatasubramanian, Fault-Tolerant Evaluation of Continuous Queries over Sensor Data, International Journal on Distributed Sensor Networks (IJDSN), accepted for publication.
    • Qi Han, Sharad Mehrotra and Nalini Venkatasubramanian, Application-aware Integration of Data Collection and Power Management in Wireless Sensor Networks, Journal of Parallel and Distributed Computing (JPDC), Vol. 67, No. 9, September 2007, Pages 992-1006.
    • Lilia Paradis and Qi Han A Survey of Fault Management in Wireless Sensor Networks, Journal of Network and Systems Management (JNSM), Vol. 15, No. 2, June 2007.
    • Qi Han, Sharad Mehrotra and Nalini Venkatasubramanian Timeliness-Accuracy Balanced Collection of Dynamic Data , IEEE Transactions on Parallel and Distributed Systems (TPDS), Vol. 18, No.2, February 2007.
    • Qi Han and Nalini Venkatasubramanian, Information Collection Services for QoS-aware Mobile Applications, IEEE Transactions on Mobile Computing (TMC), Vol.5, No.5, May 2006.
    • Yun Huang, Shivajit Mohapatra, Qi Han and Nalini Venkatasubramanian, QoS Aware Resource Discovery in Mobile Environments, Chapter VI, The Handbook of Mobile Middleware, A. Corradi and P. Bellavista eds., Chapman and Hall/CRC Press, September 2006.


  • Willy Hereman
    • W. Hereman, P. J. Adams, H. L. Eklund, M. S. Hickman, and B. M. Herbst, Direct Methods and Symbolic Software for Conservation Laws of Nonlinear Equations, In: Advances of Nonlinear Waves and Symbolic Computation, Ed.: Z. Yan, Nova Science Publishers, New York, 2008, Chapter 1, 70 pages, in press.
    • W. Hereman, Shallow Water Waves and Solitary Waves, In: Encyclopedia of Complexity and Systems Science, Ed.: R. A. Meyers, Springer Verlag, Berlin, Germany, 2008, 27 pages, in press.
    • A. M. Grundland, W. A. Hereman, and I. Yurdusen, Conformally parametrized surfaces associated with CP^{N-1} sigma models, J. Phys. A: Math. Theor. vol. 41, Art. No. 065204, 2008, 28 pages.
    • W. Hereman, Featured Reviews: The Mathematica GuideBooks for Numerics, Symbolics, Programming and Graphics by Michael Trott, Springer-Verlag, New York, 2004-2006, SIAM Review, vol. 49(1), 2007, pp. 123-129; vol. 47(4), 2005, pp. 801-806.
    • W. Hereman, B. Deconinck, and L. D. Poole, Continuous and discrete homotopy operators: A theoretical approach made concrete, Math. Comp. in Simul., vol. 74(4-5), 2007, pp. 352-360.
    • W. Hereman, Symbolic computation of conservation laws of nonlinear partial differential equations in multi-dimensions, Int. J. Quant. Chem., vol. 106(1), 2006, pp. 278-299.
    • D. Baldwin and W. Hereman, Symbolic software for the Painleve test of nonlinear ordinary and partial differential equations, J. Nonl. Math. Phys., vol. 13(1), 2006, pp. 90-110.


  • Paul Martin
    • Thermal grooving by surface diffusion: Mullins revisited and extended to multiple grooves. Quart. Appl. Math., to appear.
    • Multiple scattering by random configurations of circular cylinders: weak scattering without closure assumptions. (With A. Maurel). Wave Motion 45 (2008) 865-880.
    • On functions defined by sums of products of Bessel functions. J. Phys. A: Math & Theor. 41 (2008) 015207 (8 pages).
    • Calculating the near field of a line of sources using Mellin transforms. ANZIAM Journal 49 (2007) 99-109.
    • Analysis of moire data for near-interface cracks. (With K. Rozenburg, J.R. Berger and I. Reimanis). Int. J. Fracture 143 (2007) 207-217.
    • On the T-matrix for scattering by small obstacles. J. Computational & Appl. Math. 204 (2007) 219-230.
    • Stress intensity factor computation using the method of fundamental solutions: mixed-mode problems. (With J.R. Berger and A. Karageorghis). Int. J. for Numerical Methods in Engng. 69 (2007) 469-483.
    • Perturbed cracks in two dimensions: a reprise. Int. J. Fracture 140 (2006) 299-303.
    • Discrete scattering theory: Green's function for a square lattice. Wave Motion 43 (2006) 619-629.
    • Multiple scattering by multiple spheres: a new proof of the Lloyd-Berry formula. (With C.M. Linton). SIAM J. Appl. Math. 66 (2006) 1649-1668.
    • Exact solution of some integral equations over a circular disc. J. Integral Equations & Applications 18 (2006) 39-58.


  • Dinesh Mehta
    • Dinesh Mehta and Vijay Raghavan, " Decision Tree Approximations of Boolean Functions ", Theoretical Computer Science , Vol. 270, No. 1-2, pp 609-623, January 2002
    • Swanwa Liao, Mario Lopez and Dinesh Mehta, " Constrained Polygon Transformations for Incremental Floorplanning", ACM Transactions on the Design Automation of Electronic Systems , Vol. 6, No. 3, July 2001. ACM TODAES Electronic Preprint.
    • Dinesh P. Mehta and Naveed Sherwani " A Minimum-Area Floorplanning Algorithm for Mixed Block and Cell Designs ". ACM Transactions on the Design Automation of Electronic Systems , Vol 5, No. 1, Jan 2000. ACM TODAES Electronic Preprint.
    • Krishna Kavi and Dinesh Mehta, "Mutual Exclusion on Optical Buses", Proc of the ISCA 13th International Conference, Las Vegas, 2000, pp 250- 255.


  • Barb Moskal
    • Parkhurst, R., Moskal, B., Downey, G., Lucena, J., Bigley, T. & Elber, S. (to appear 2008). “Engineering cultures: Comparing student learning in on-line and classroom based implementations.” International Journal of Engineering Education.
    • Moskal, B., Skokan, C., Kosbar, L. & Fairweather, G. (2008). “The Synergy of Middle School Outreach.” Academic Exchange Quarterly, 12 (2), 49-54.
    • Duke, B., Dwyer, J., Wilhelm, J. & Moskal, B (to appear 2008). "Complex variables in junior high school: The role and potential impact of an outreach mathematician." Teaching Mathematics and its Applications.
    • Ewing, M., Moskal, B. & Fairweather, G. (2007). "Mathematical problem solving: A comparative analysis between the U.S. and Korea." International Journal of Learning, 14 (8), 267-273.
    • Moskal, B., Skokan, C., Munoz, D. & Gosink, J. (to appear 2008). "Humanitarian engineering: Global impacts and sustainability of a curricular effort." International Journal of Engineering Education.
    • Dwyer, J., Moskal, B. & Chenault, L. (2007). "College faculty in a high school mathematics classroom." The International Journal of Interdisciplinary Social Science. 2(1).
    • Moskal, B., Lucena, J. & Gosink, J. (2007). "Campus impact of a service learning curriculum." Academic Exchange Quarterly, Special Edition on Service Learning, 11 (3).
    • Moskal, B., Skokan, C., Kosbar, L., Dean, A., Westland, C., Barker, H., Nguyen, Q. & Tafoya, J. (2007). "K-12 outreach: Identifying the broader impacts of four outreach projects." Journal of Engineering Education, 96 (2), 173-189.
    • Bauer, E. H., Moskal, B., Gosink, J., Lucena, J. & Muñoz, D. (2007). "Faculty and student attitudes toward community service: A comparative analysis." Journal of Engineering Education, 96 (2), 129 - 140.
    • Dwyer, J., Moskal, B., Duke, B. & Wihelm, J. (2007). "Complex variables in secondary school." Mathematics Teaching 201, March, 32-34.
    • Downey, G.L., Lucena, J., Moskal, B., Parkhurst, R., Bigley, T., Hays, C., Jesiek, B., Kelly, L., Miller, J., & Ruff, S. (2006). "The globally competent engineer: Working effectively with people who define problems differently." Journal of Engineering Education, 95 (2), 107-122.
    • Olds, B., Moskal, B. & Miller, R. (2005). "Assessment in engineering education: Evolution, approaches and future collaborations." Journal of Engineering Education, 94 (1), 13-25.
    • Leydens, J., Moskal, B. & Pavilich, M. (2004). "Qualitative methods used in the assessment of engineering education." Journal of Engineering Education, 93(1), 65-72.


  • William Navidi
    • Navidi, W, Hutchinson, A, N'dri-Stempfer, B, and Bunge, A. Determining Bioequivalence of Topical Drug Products. Journal of Pharmacokinetics and Pharmacodynamics, in press. DOI:10.1007/s10928-008-9091-7
    • Navidi, W. (2008). Poisson Regression and the Case-crossover Design: Similarities and Differences. Communications in Statistics -- Theory and Methods, 37, 213-220.
    • N'dri-Stempfer, B, Navidi, W, Guy, R, and Bunge, A. (2008). Optimizing Metrics for the Assessment of Bioequivalence Between Topical Drug Products. Pharmaceutical Research, 25, 1621-1630.
    • Hutchinson, A, Moskal, B, Dann, W, Cooper, S, and Navidi, W. (2008). Gender and the Alice Approach: A Community College Intervention in Introductory Programming Courses (2008). iNEER Special Volume: Innovations 2008 - World Innovations in Engineering Education and Research.
    • Kurkowski, S, Navidi, W, and Camp, T. (2007). Discovering Variables that Affect MANET Performance. Fiftieth Annual IEEE Global Communications Conference (GLOBECOM 2007).
    • Kurkowski, S, Navidi, W, and Camp, T. (2007). Constructing MANET Simulation Scenarios That Meet Standards. Proceedings of the Fourth IEEE International Conference on Mobile Ad-hoc and Sensor Systems (MASS).
    • Kurkowski, S, Camp, T, and Navidi, W (2006). Two Standards for Rigorous MANET Routing Protocol Evaluation. Proceedings of the Third IEEE International Conference on Mobile Ad-hoc and Sensor Systems (MASS).
    • Thuanboon, S, Tordonato, D, Navidi, W, Wang, G, Mishra, B, and Olsen, D (2006). A Statistical Analysis of Corrosion Wastage of Transverse Members in Single Hull Tankers. Twenty-fifth International Conference on Offshore Mechanics and Arctic Engineering}, 1-7.


  • Irene Polycarpou


  • Jingmei Qiu
    • Convergence of Godunov-type schemes for scalar conservation laws under large time steps, J.-M. Qiu and C .-W. Shu, SIAM Journal on Numerical Analysis, v46 (2008), pp.2211-2237.
    • A WENO algorithm for the radiative transfer and ionized sphere at reionization , J.-M. Qiu, C.-W. Shu, L.-L. Feng and L.-Z. Fang, New Astronomy, v12 (2006), pp.1-10.
    • A WENO algorithm of the temperature and ionization profiles around a point source , J.-M. Qiu, L.-L. Feng, C.-W. Shu and L.-Z. Fang, New Astronomy, v12(2007), pp.398-409.
    • 21 cm Signals from Early Ionizing Sources , J. Liu, J.-M. Qiu, L.-L. Feng, C.-W. Shu, L.-Z. Fang, The Astrophysical Journal, v663 (2007), pp.1-9.
    • A WENO algorithm for the growth of ionized regions at the reionization epoch , J.-M. Qiu, C.-W. Shu, J. -R. Liu and L.-Z. Fang, New Astronomy, v13 (2008), pp.1-11.
    • Convergence of high order finite volume weighted essentially non-oscillatory scheme and discontinuous Galerkin method for nonconvex conservation laws , J.-M. Qiu and C.-W. Shu, accepted in SIAM Journal on Scientific Computing.
    • Spectral deferred correction methods with high order Runge-Kutta schemes in predition and correction steps , J.-M. Qiu, B. Ong and A. Christlieb, submitted to Mathematics of Computation, in revision.
    • A WENO algorithm for radiative transfer with resonant scattering: the time scale of the Wouthuysen-Field Coupling , I. Roy, J.-M. Qiu, C.-W. Shu and L.-Z. Fang, submitted to New Astronomy.


  • Andrzej Szymczak
    •  


    • Luis Tenorio
      • Horesh, L., Haber, E. & Tenorio, L. 2008, Optimal experimental design for the large-scale nonlinear ill-posed problem of impedance imaging. Submitted.
      • Haber, L., Horesh, L. & Tenorio, L. 2008, Numerical methods for experimental design of large-scale linear ill-posed inverse problems. Inverse Problems. In Print.
      • Tenorio, L., Haber, E., Symes, W.W., Stark, P.B., Cox, D. & Ghattas, O., 2008, Guest Editors' Introduction to the Special Section on Statistical and Computational Issues in Inverse Problems. Inverse Problems, 24, 034001.
      • McKenzie, P., Newman, A. & Tenorio, L., 2008, Optimizing feeder movements at front range aggregates' open pit mine. Interfaces. In Print.
      • Van der Hilst, R. D., De Hoop. M.V., Wang, P., Shim, S. H., Ma, P. & Tenorio, L., 2007, 3-D seismic exploration of Earth's deep interior reveals complex D'' stratification. Science, 315, 1813-1817.
      • Tenorio, L., Fleck, A. and Moses, K., 2007, Confidence intervals for linear discrete inverse problems with a non-negativity constraint. Inverse Problems, 23, 669-681.
      • Ma, P., Wang, P., Tenorio, L., de Hoop, M. V. & van der Hilst, R. D., 2007, Imaging of structure at and near the core mantle boundary using a generalized, Radon transform: II --statistical inference of singularities, Journal of Geophysical Research, 112, B08303, doi:10.1029/2006JB004513.
      • Wang, P., de Hoop, M.V., var der Hilst, R.D., Ma, P. & Tenorio, L., 2006, Imaging of structure at and near the core mantle boundary using a generalized Radon transform: I -- construction of image gathers, Journal of Geophysical Research, 111, B12304, doi:10.1029/2005JB004241.
      • Tenorio, L., 2006, Some statistical issues regarding the estimation of f_NL in CMB non-Gaussianity. arXiv: astro-ph/0610170.
      • Tenorio, L., Munakata-Marr, J. & Albert, J., 2005, Statistical modeling and evaluation of microbial source tracking data from rep-PCR DNA fingerprints, Computing Science and Statistics 2005, Vol. 37. Clustering and Classification. Conference Proceedings of the 37nd Symposium of Interface Foundation of North America and the Classification Society of North America.




Mathematical & Computer Sciences
Colorado School of Mines  •   Golden, CO 80401-1887
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