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Original Articles

Lattice-free finite difference method for numerical solution of inverse heat conduction problem

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Pages 93-106 | Received 10 Jan 2005, Accepted 20 May 2005, Published online: 22 Dec 2006

References

  • Yamamoto, M, 2002. Introduction to Inverse Problems. Tokyo: Iwanami-Shoten; 2002. p. 77, (in Japanese).
  • Kress, R, 1989. "Linear Integral Equations". In: Applied Mathematical Sciences. Vol. 82. New York: Springer-Verlag; 1989.
  • Richtmyer, RD, and Morton, KW, 1967. "Difference Methods for Initial-value Problems". In: Interscience Tracts in Pure and Applied Mathematics. Vol. 4. New York, London, Sydney: Interscience Publishers; 1967.
  • Imai, H, Takeuchi, T, and Kushida, M, 1999. On numerical simulation of partial differential equations in infinite precision, Advances in Mathematical Sciences and Applications , Gakkõtosho 9 (2) (1999), pp. 1007–1016.
  • Fujiwara, H, and Iso, Y, 2001. Numerical challenge to ill-posed problems by fast multiple-precision system, Theoretical and Applied Mechanics Japan 50 (2001), p. 419.
  • Canuto, C, Hussaini, MY, Quarteroni, A, and Zang, TA, 1988. Spectral Methods in Fluid Dynamics. New York: Springer-Verlag; 1988.

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