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Titlebook: Numerical Treatment of Inverse Problems in Differential and Integral Equations; Proceedings of an In Peter Deuflhard,Ernst Hairer Conferenc

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书目名称Numerical Treatment of Inverse Problems in Differential and Integral Equations
副标题Proceedings of an In
编辑Peter Deuflhard,Ernst Hairer
视频video
丛书名称Progress in Scientific Computing
图书封面Titlebook: Numerical Treatment of Inverse Problems in Differential and Integral Equations; Proceedings of an In Peter Deuflhard,Ernst Hairer Conferenc
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
关键词Approximation; Eigenvalue; Integral equation; differential equation; numerical methods
版次1
doihttps://doi.org/10.1007/978-1-4684-7324-7
isbn_softcover978-0-8176-3125-3
isbn_ebook978-1-4684-7324-7
copyrightBirkhäuser Boston 1983
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Identification of Rate Constants in Bistable Chemical Reactionssystems were known earlier, they were often ignored because such phenomena were considered to be ruled out by the second law of thermodynamics. In 1964, ZHABOTINSKII [24] exploited BELOUSOV’s investigations and discovered additional temporal and spatial effects.
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On the Estimation of Small Perturbations in Ordinary Differential Equationsl small perturbing functions to be determined in order to obtain either a solution given in advance (control problems) or a solution that approximates a set of measurements that may be affected by random errors. The traditional solution of such problems consists of the parameter identification of a
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Inverse Problem of Quantal Potential Scattering at Fixed Energyat only recently has interest been directed toward practical applications, at least as far as the fixed-energy case is concerned [6, 8, 10, 12, 14]. The present work is a contribution to these efforts.
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