| 書目名稱 | Numerical Treatment of Inverse Problems in Differential and Integral Equations | | 副標題 | Proceedings of an In | | 編輯 | Peter Deuflhard,Ernst Hairer | | 視頻video | http://file.papertrans.cn/670/669246/669246.mp4 | | 叢書名稱 | Progress in Scientific Computing | | 圖書封面 |  | | 描述 | In many scientific or engineering applications, where ordinary differen- tial equation (OOE),partial differential equation (POE), or integral equation (IE) models are involved, numerical simulation is in common use for prediction, monitoring, or control purposes. In many cases, however, successful simulation of a process must be preceded by the solution of the so-called inverse problem, which is usually more complex: given meas- ured data and an associated theoretical model, determine unknown para- meters in that model (or unknown functions to be parametrized) in such a way that some measure of the "discrepancy" between data and model is minimal. The present volume deals with the numerical treatment of such inverse probelms in fields of application like chemistry (Chap. 2,3,4, 7,9), molecular biology (Chap. 22), physics (Chap. 8,11,20), geophysics (Chap. 10,19), astronomy (Chap. 5), reservoir simulation (Chap. 15,16), elctrocardiology (Chap. 14), computer tomography (Chap. 21), and control system design (Chap. 12,13). In the actual computational solution of inverse problems in these fields, the following typical difficulties arise: (1) The evaluation of the sen- sitivity coefficien | | 出版日期 | Conference proceedings 1983 | | 關鍵詞 | Approximation; Eigenvalue; Integral equation; differential equation; numerical methods | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4684-7324-7 | | isbn_softcover | 978-0-8176-3125-3 | | isbn_ebook | 978-1-4684-7324-7 | | copyright | Birkh?user Boston 1983 |
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