The backus-gilbert method revisited: background, implementation and examples
作者:
Heikki Haario,
Erkki Somersalo,
期刊:
Numerical Functional Analysis and Optimization
(Taylor Available online 1987)
卷期:
Volume 9,
issue 9-10
页码: 917-943
ISSN:0163-0563
年代: 1987
DOI:10.1080/01630568708816267
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
The paper deals with the Backus-Gilbert or averaging kernel inversion of linear integral equations. The theoretical background of the method is developed: it is shown that the method leads to a sequence of linear pointwise estimates, which are asymptotically unbiased when no error is present. Anumerical implementation is given. Finally, the algorithm is applied to numerical differentiation, Laplace transform inversion and to a geophysical inverseproblem arising in electromagnetic sounding.
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