Reconstructing the past from imprecise knowledge of the present: Effective non-uniqueness in solving parabolic equations backward in time-Reference-Cited by-同舟云学术

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Reconstructing the past from imprecise knowledge of the present: Effective non-uniqueness in solving parabolic equations backward in time

Published:2012-05-24 Issue:3 Volume:36 Page:249-261
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math. Meth. Appl. Sci.

Author:

Carasso Alfred S.¹

Affiliation:

1. Applied and Computational Mathematics Division; National Institute of Standards and Technology; Gaithersburg; MD; 20899; USA

Publisher

Wiley

Subject

General Engineering,General Mathematics

Reference38 articles.

1. The boundary element method for the solution of the backward heat conduction equation;Han;Journal of Computational Physics,1995

2. A kernel-based method for the approximate solutions of backward parabolic problems;Ames;SIAM Journal on Numerical Analysis,1997

3. On the numerical computation of parabolic problems for preceding times;Buzbee;Mathematics of Computation,1973

4. The approximation of certain parabolic equations backward in time by Sobolev equations;Ewing;SIAM Journal on Mathematical Analysis,1975

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