Aaron C Cinzori 2004 Inverse Problems 20 1791 doi:10.1088/0266-5611/20/6/006
Aaron C Cinzori
Show affiliationsWe examine a continuous, local regularization method for 1-smoothing, ill-posed, first-kind Volterra problems. We show that the method converges to the true solution as the noise in the data decreases to zero. Numerical examples are provided to demonstrate the performance of the method in comparison to earlier techniques.
Issue 6 (December 2004)
Received 6 February 2004, in final form 23 August 2004
Published 24 September 2004
Aaron C Cinzori 2004 Inverse Problems 20 1791
Hans-Jürgen Stöckmann et al 1997 J. Phys. A: Math. Gen. 30 129
O Raccurt et al 2003 J. Micromech. Microeng. 13 442
Ulrich D Jentschura and Gerhard Soff 2001 J. Phys. A: Math. Gen. 34 1451
B Jack et al 2008 New J. Phys. 10 103013
L Léger et al 1997 J. Phys.: Condens. Matter 9 7719
Xian Gao et al JCAP11(2009)007
Lorenzo J Díaz and Bianca Santoro 2004 Nonlinearity 17 1001
V M Castillo-Vallejo et al 2006 J. Phys.: Conf. Ser. 37 5
H Vocca et al 2004 Class. Quantum Grav. 21 S665