Heat Conduction using Green's Functions, K. D. Cole, J. V. Beck, A. Haji-Sheikh, and B. Litkouhi, Second Edition, CRC Taylor and Francis, New York, 2011.

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.


J. 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 P. E. 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,  Int. J. 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. 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, Int. J. Heat and Mass Transfer, vol. 45, pp. 3585-3596, 2002.

K. D. Cole, Fast-converging series for steady heat conduction in the circular cylinder, J. 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.

K. D. Cole, Steady-periodic Green's functions and thermal-measurement applications in rectangular coordinates, J. Heat Transfer, vol. 128, no. 7, pp. 709-716, 2006.

Beck, J. V, and Cole, K. D., Improving convergence of summations in heat conduction, Int. J. Heat Mass Transfer, vol. 50, pp. 257-268, 2007.

Beck, J. V, Wright, N., Haji-Shiekh, A., Cole, K. D., and Amos, D., Conduction in rectangular plates with boundary temperatures specified, Int. J. Heat Mass Transfer, vol. 51, pp. 4676-4690, 2008.

K. D. Cole and P. E. Crittenden, Steady-periodic heating of a cylinder, J. Heat Transfer, vol. 131, no. 9, 2009.


Conduction of Heat in Solids,  H. S. Carslaw and J. C. Jaeger, 2nd Ed, Oxford, 1959.

Analytical Heat Diffusion Theory, A. Luikov, Academic Press, 1968.

Analytical Methods in Conduction Heat Transfer, G. Myers, McGraw-Hill, 1971.

Heat and Mass Transfer, A. Liukov, MIR Publisher, Moscow, 1980.

Heat Conduction, J. M. Hill and J. N. Dewynne, Blackwell Scientific Publications, 1987.

Heat Conduction, M. N. Ozisik, John Wiley, New York, 1993.

*References are included for general information only.  This list is not intended as a review of the literature.