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Inverse heat conduction: ill-posed problems Beck J.V., Blackwell B., St.Clair C.R.
Publisher: Wiley

For the heat source identification, there . We consider a two-dimensional inverse heat conduction problem for a slab. This is a severely ill-posed problem. Amazon.co.jp： Inverse Heat Conduction: Ill-Posed Problems: James V. Unlike most books on ill-posed problems, this volume contains all the motivations , proofs, algorithms, and Inverse Heat Conduction: Ill-posed Problems. Leading authority on 'deconvolution' and other ill-posed problems of applied mathematics. Beck, Ben Blackwell, Charles R. By contrast the inverse heat equation, deducing a previous distribution of temperature from final data is not well-posed in that the solution is highly sensitive to changes in the final data. Inverse source problems arise in many branches of science and engineering, for example, heat conduction, crack identification, electromagnetic theory, geophysical prospecting, and pollutant detection. Applications to the Inverse Heat Conduction Problem. In nature, the quasireversibility regularization method transfers an ill-posed problem to an approximate well-posed problem which can be discretized using standard technique, for example, finite differences. Problems that are not well-posed in the sense of Hadamard are Even if a problem is well-posed, it may still be ill-conditioned, meaning that a small error in the initial data can result in much larger errors in the answers. It is a typical inverse heat conduction problem ( IHCP), and is usually mathematically ill-posed.