Jianguo Huang and Yu Chen 2005 Inverse Problems 21 1667 doi:10.1088/0266-5611/21/5/010
Jianguo Huang1 and Yu Chen
Show affiliationsA regularization method is proposed for the function reconstruction from approximate average fluxes. Such problems often occur in environmental science and mathematical statistics. The unique solvability of the method is proved and a number of conditions are given to characterize the solution. The error estimates are established after the introduction of some interpolation operators. A series of numerical examples are provided to illustrate the effectiveness and computational performance of the method. Some ideas for the choice of the regularization parameter are also suggested by the computational experience.
Issue 5 (October 2005)
Received 2 February 2005, in final form 14 June 2005
Published 16 September 2005
Jianguo Huang and Yu Chen 2005 Inverse Problems 21 1667
Y Kameshima et al 2009 J. Phys.: Conf. Ser. 191 012015
F Darabi and H R Sepangi 1999 Class. Quantum Grav. 16 1565
J Pitel and P Kovác 1997 Supercond. Sci. Technol. 10 7
Ryan J Halter et al 2008 Physiol. Meas. 29 S111
Gonzalo R Feijoo 2004 Inverse Problems 20 1819
Rui Peng et al 2008 Nonlinearity 21 1471
B R Chakraborty et al 2005 Nanotechnology 16 1006
K Kuroda et al 2002 Class. Quantum Grav. 19 1237
Anthony Dyson et al 2000 Meas. Sci. Technol. 11 554