On Tikhonov’s method for ill-posed problems
- 1 January 1974
- journal article
- Published by American Mathematical Society (AMS) in Mathematics of Computation
- Vol. 28 (128) , 889-907
- https://doi.org/10.1090/s0025-5718-1974-0375817-5
Abstract
For Tikhonov’s regularization of ill-posed linear integral equations, numerical accuracy is estimated by a modulus of convergence, for which upper and lower bounds are obtained. Applications are made to the backward heat equation, to harmonic continuation, and to numerical differentiation.Keywords
This publication has 2 references indexed in Scilit:
- Numerical Differentiation and RegularizationSIAM Journal on Numerical Analysis, 1971
- Continuous dependence on data for solutions of partial differential equations with a prescribed boundCommunications on Pure and Applied Mathematics, 1960