We investigate under what conditions transient simulation could be used to\nintegrate backward in time so that the initial field could be recovered from\nlater histories. In this paper we use realistic examples and find that, in long\nhistories, traces of the initial field would be present only in the exact analytical\nsolutions. We conclude that the recovery of initial field is possible only if\nthe equations could be solved analytically or only short time periods are involved.\nIn practice, it is not possible to detect those traces by measurements\nor observations. If numerical procedures are used, truncation and discretization\nerrors are always present. Fine-tuning of system parameters used or\ntransforming time into another pseudo time frame may allow numerical integration\nto be carried out backward in time. But numerical instability is still\na problem. Large spurious increases found by numerical procedures are most\nlikely due to numerical inaccuracy and instability.
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