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On three spectral regularization methods for a backward heat conduction problem

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참고문헌 (16)

  1. K. A. Ames, "A comparison of regularizations for an ill-posed problem", 67(224), pp.1451~1471 (1998)
  2. L. Eld´en, "Wavelet and Fourier methods for solving thesideways heat equation", 21(6), pp.2187~2205 (2000)
  3. H. W. Engl, "Regularization of inverse problems", 375 (1996), Kluwer Academic Publishers Group, Dordrecht
  4. L. C. Evans, "Partial differential equations", 19 (1998), AmericanMathematical Society, Providence, RI
  5. H`ao, "A mollification method for ill-posed problems" (1994)
  6. T. Hohage, "Regularization of exponentially ill-posed problems", 21(3-4), pp.439~464 (2000)
  7. M. Jourhmane, "An iterative algorithm for the backward heat conductionproblem based on variable relaxtion factors", 10(4), pp.293~308 (2002)
  8. S. M. Kirkup, "Solution of inverse diffusion problems by operatorsplittingmethods", 26(10), pp.1003~1018 (2002)
  9. P. Math´e, "Geometry of ill-posed problems in variable Hilbert Scales", 19, pp.789~803 (2003)
  10. N. S. Mera, "An iterative boundary elementmethod for solving the one-dimensional backward heat conduction problem", 44(10), pp.1937~1946 (2001)
  11. N. S. Mera, "The method of fundamental solutions for the backward heat conductionproblem", 13(1), pp.65~78 (2005)
  12. Miller, "Stabilized quasi-reversibility and other nearly-best-possible methods for nonwell-posed problems Symposium on Non-Well-Posed Problems and Logarithmic Convexity Lecture Notes in Math", Heriot-Watt Univ
  13. Showalter, "The final value problem for evolution equations" (1974)
  14. U. Tautenhahn, "Optimal stable approximations for the sideways heat equation", 5(3), pp.287~307 (1997)
  15. U. Tautenhahn, "Optimality for ill-posed problems under general source conditions", 19(3-4), pp.377~398 (1998)
  16. U. Tautenhahn, "On optimal regularization methods for the backwardheat equation", 15(2), pp.475~493 (1996)

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