Inverse Problems

 

Links of Interests

Inverse Problems Network Michigan State University
Inverse Problems The University of Alabama
Trucomp Consulting in Inverse Heat Conduction, Thermal, and Mechanical Engineering Analysis

 

Papers

B.A. Mair and F.H. Ruymgaart, "Statistical inverse estimation in Hilbert scales," SIAM J. Appl. Math. vol. 56, 5, pp. 1424-1444, 1996.
A.K. Dey, B. A. Mair and F. H. Ruymgaart, "Cross-validation for parameter selection in inverse estimation problems," Scandinavian Journal of Statistics, vol. 23, pp. 609-620, 1996.
B.A. Mair and F.H. Ruymgaart, " A cross validation method for first kind integral equations," Computation & Control IV, K. Bowers and J. Lund (eds.) Birkhauser, pp. 259-267, 1995.
B. A. Mair, "A cross-validation method for non-parametric estimation," Control & Cybernetics vol. 23, no. 4, pp. 733-743, 1994.
B. A. Mair, "Tikhonov regularization for finitely and infinitely smoothing operators," SIAM J. Math. Anal. vol. 25, no. 1, pp. 135-147, 1994.
D. Gilliam and B. A. Mair "Stability of a convolution method for inverse heat conduction problems," Journal Math. Systems, Estimation, and Control, vol. 1, no. 4, pp. 487-497, 1991.
D. Gilliam, B. A. Mair and C. Martin, "An inverse convolution method for regular parabolic equations," SIAM J. Control and Optimization vol. 29, no. 1, pp. 79-88, 1991.
D. Gilliam, B. A. Mair and C. Martin, "Determination of initial states of parabolic systems from discrete data," Inverse Problems vol. 6, pp. 737-747, 1990.
D. Gilliam, B. A. Mair and C. Martin, "A convolution method for inverse heat conduction problems," Math. Systems Theory, vol. 21, pp. 49-60, 1988.
D. Gilliam, B. A. Mair and C. Martin, "Observability and inversion for the heat equation," Linear Circuits, Systems and Signal Processing: Theory and Application, C.I. Byrnes, C.F. Martin, and R.E. Saeks (eds), Elsevier Publishers, 1988, pp. 363-370 .
D. Gilliam, B. A. Mair and C. Martin, "Observability and determination of surface temperature, I," International Journal of Control, vol. 48, no. 6, pp. 2249-2264, 1988.