REFERENCES*BOOKS on GREEN'S FUNCTIONS
Heat Conduction using Green's Functions, J. V. Beck, K. D. Cole, A. Haji-Sheikh, and B. Litkouhi, Hemisphere, Washington, DC, 1992.Elements of Green's Functions and Propagation, G. Barton, Oxford, UK, 1989.
Green's Functions in Applied Mechanics, Y. Melnikov, Computational Mechanics Publications, Boston-Southhampton, 1995.
Green's Functions with Applications, D. G. Duffy, Chapman and Hall/CRC Press, Boca Raton, Florida, 2001.
Diffusion-Wave Fields: Mathematical Methods and Green Functions, A. Mandelis, Springer-Verlag, New York, 2001.
PAPERS on GREEN'S FUNCTIONSJ. V. Beck, "Green's function solution for transient heat conduction problems," Int. J. Heat Mass Transfer, vol. 27, No. 8, pp 1235-1244, 1984.K. D. Cole and H. K. Kim, "Green's functions for steady two-dimensional heat conduction," Proceedings of the 10th international Heat Transfer Conference, Brighton, UK, vol. 6, pp. 331-336, 1994.
K. D. Cole and P. Crittenden, "Steady heat conduction in Cartesian coordinates and a library of Green's functions," Proceedings of the 35th National Heat Transfer Conference, Anaheim, CA, June, 2001.
K. D. Cole and D. H. Y. Yen, “Green’s Functions, Temperature, and Heat Flux in the Rectangle,” International J. of Heat and Mass Transfer, vol. 44, no. 20, pp. 3883-3894, 2001.
K. D. Cole, and D. H. Y. Yen, “Influence functions for the infinite and semi-infinite strip”, AIAA J. of Thermophysics and Heat Transfer, vol. 15, no. 4, pp 431-438, 2001.
P. E. Crittenden and K. D. Cole, “Fast-Converging Steady-State Heat Conduction in the Rectangular Parallelepiped,” International J. of Heat and Mass Transfer, vol. 45, pp. 3585-3596, 2002.
K. D. Cole, “Fast-converging series for steady heat conduction in the circular cylinder", Journal of Engineering Mathematics, vol. 49, pp. 217-232, 2004.
K. D. Cole, “Computer Software for Fins and Slab Bodies with Green’s functions”, Computer Applications in Engineering Education, vol. 12, no. 3, 2004.
BOOKS on HEAT CONDUCTIONConduction of Heat in Solids, Carslaw and Jaeger, 2nd Ed, Oxford, 1959.RELATED MATHEMATICSAnalytical Heat Diffusion Theory, Luikov, Academic Press, 1968.
Analytical Methods in Conduction Heat Transfer, G. Myers, McGraw-Hill, 1971.
Heat and Mass Transfer, Liukov, MIR Publisher, Moscow, 1980.
Heat Conduction, Hill and Dewynne, Blackwell Scientific Publications, 1987.
Heat Conduction, Ozisik, John Wiley, New York, 1993.
Handbook of Mathematical Functions, AMS 55, Nat. Bureau of Standards, M. Abramowitz and I. Stegun, 1964.*References are included for general information only. This list is not intended as a review of the literature.Numerical Recipes, W. H. Press et al., Cambridge, 2nd Ed. 1992.