Monte Carlo Methods in an Introductory Electromagnetic Course

IEEE Transactions on Education

Volumn 33, Issue 1, 1990, Pages 73-80

  Sadiku, Matthew N O ^a  

^a TEMPLE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROMAGNETIC FIELDS; MATHEMATICAL STATISTICS--MONTE CARLO METHODS;

ELECTROMAGNETICS;

ELECTRICAL ENGINEERING;

EID: 0025388306     PISSN: 00189359     EISSN: 15579638     Source Type: Journal    
DOI: 10.1109/13.53630     Document Type: Article

References (28)

1. M. N. O. Sadiku, Elements of Electromagnetics. New York: Holt, Rinehart, and Winston, 1989, ch. 6, 14.
2. D. E. Knuth, The Art of Computer Programming, vol. 2. Reading, MA: Addison-Wesley, 1969, pp. 9, 10, 78, 155.
3. J. Banks and J. Carson, Discrete Event System Simulation. Englewood Cliffs, NJ: Prentice-Hall, 1984, pp. 257–288.
4. P. A. W. Lewis et al., “A pseudo-random number generator for the system/360,” IBM Syst. J., vol. 8, no. 2, pp. 136–146, 1969.
5. S. S. Kuo, Computer Applications of Numerical Methods. Reading, MA: Addison-Wesley, 1972, pp. 327–345.
6. A. M. Law and W. D. Kelton, Simulation Modeling and Analysis. New York: McGraw-Hill, 1982, pp. 219–228.
7. D. E. Raeside, “An introduction to Monte Carlo methods,” Amer. J. Phys., vol. 42, pp. 20–26, 1131, Jan. 1974.
8. C. Jacoboni and L. Reggiani, “The Monte Carlo method for the solution of charge transport in semiconductors with applications to co- valent materials,” Rev. Mod. Phys., vol. 55, no. 3, pp. 645–705, July 1983.
9. H. Kobayashi, Modeling and Analysis: An Introduction to System Performance Evaluation Methodology. Reading, MA: Addison-Wesley, 1978, pp. 221–247.
10. I. M. Sobol, The Monte Carlo Method. Chicago: Univ. Chicago Press, 1974, pp. 24–30.
11. S. Kakutani, “Two-dimensional Brownian motion harmonic functions,” Proc. Imp. Acad. (Tokyo), vol. 20, pp. 706–714, 1944.
12. A. Haji-Sheikh and E. M. Sparrow, “The floating random walk and its application to Monte Carlo solutions of heat equations,” SIAM J. Appl. Math., vol. 14, no. 2, pp. 370–389, Mar. 1966.
13. —, “The solution of heat conduction problems by probability methods,” J. Heat Transfer, Trans. ASME, ser. C, vol. 89, pp. 121–131, May 1967.
14. G. E. Zinsmeiter, “Monte Carlo methods as an aid in teaching heat conduction,” Bull. Mech. Eng. Educ, vol. 7, pp. 77–86, 1968.
15. R. Chandler et al., “The solution of steady state convection problems by the fixed random walk method,” J. Heat Transfer, Trans. ASME, ser. C, vol. 90, pp. 361–363, Aug. 1968.
16. G. E. Zinsmeiter and S. S. Pan, “A method for improving the efficiency of Monte Carlo calculation of heat conduction problems,” J. Heat Transfer, Trans. ASME, ser. C, vol. 96, pp. 246–248. 1974.
17. —, “A modification of the Monte Carlo method,” Int. J. Num. Meth. Eng., vol. 10, pp. 1057–1064, 1976.
18. G. M. Royer, “A Monte Carlo procedure for potential theory of problems,” IEEE Trans. Microwave Theory Tech., vol. MTT-19, pp. 813–818, Oct. 1971.
19. R. M. Bevensee, “Probabilistic potential theory applied to electrical engineering problems,” Proc. IEEE, vol. 61, pp. 423–437, Apr. 1973.
20. R. L. Gibbs and J. D. Beason, “Solutions to boundary value problems of the potential type by random walk method,” Amer. J. Phys., vol. 43, no. 9, pp. 782–785, Sept. 1975.
21. J. H. Pickles, “Monte Carlo field calculations,” Proc. IEE, vol. 124, pp. 1271–1276, Dec. 1977.
22. F. Sanchez-Quesada et al., “Monte-Carlo method for discrete inho-mogeneous problems,” Proc. IEE, vol. 125, pp. 1400–1402, Dec. 1978.
23. M. D. R. Beasley, “Comparative study of three methods for computing electric fields,” Proc. IEE, vol. 126, pp. 126–134, Jan. 1979.
24. J. R. Currie et al., “Monte Carlo determination of the frequency of lightning strokes and shielding failures on transmission lines,” IEEE Trans. Power App. Syst., vol. PAS-90, pp. 2305–2310, 1971.
25. R. S. Velazquez et al., “Probabilistic calculations of lightning protection for tall buildings,” IEEE Trans. Indust. Appl., vol. IA-18, pp. 252–254, May/June 1982.
26. Y. A. Shreider, Method of Statistical Testing (Monte Carlo Method). Amsterdam: Elsevier, 1964, pp. 39–83; another translation of the same Russian text: Y. A. Shreider, The Monte Carlo Method (The Method of Statistical Trials). Oxford: Pergamon, 1966.
27. A. f. Emery and W. W. Carson, “A modification of the Monte Carlo method—The exodus method,” J. Heat Transfer, Trans. ASME, ser. C, pp. 328–332, 1968.
28. J. M. Hammersley and D. C. Handscomb, Monte Carlo Methods. London: Methuen, 1964.