β Scribed by L. A. Khalfin
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A new understanding of the notion of the stable solution to ill-posed problems is proposed. The new notion is more realistic than the old one and better fits the practical computational needs. A method for constructing stable solutions in the new sense is proposed and justified. The basic point is:
In the method of quasireversibility (QR), ill-posed problems for linear partial differential equations are replaced by well-posed problems for equations of twice-higher order. In this paper, we consider two problems: the first for the backward heat equation, and the second for a nonparabolic evoluti
## Abstract This paper studies a Bayesian inference approach to the Cauchy problem in steadyβstate heat conduction of probabilistically calibrating the boundary temperature. The prior modeling is achieved via the Markov random field, and its regularizing property is investigated. A hierarchical Bay