THREE TOPICS IN ILL-POSED PROBLEMS
作者： Grace Wahba , None
DOI: 10.1016/B978-0-12-239040-1.50008-9
关键词: Reservoir modelling 、 Mathematical optimization 、 Distribution (mathematics) 、 Well-posed problem 、 Applied mathematics 、 Classification of discontinuities 、 Iterative method 、 Mathematics 、 Estimation theory 、 Linear system
摘要: Publisher Summary This chapter presents three topics in ill-posed problems. The first topic concerns the imposition of specified types discontinuities on otherwise smooth two and dimensional solutions work has application to recovery three-dimensional atmospheric temperature distribution from satellite-observed radiances. A closely related reference is Svensson. method proposed for imposing solution given discrete, noisy values functionals can be expected have a number problems geological sciences. second Richardson/Landweber/Fridman/Picard/ Cimino iterative methods large linear systems. third parameter estimation problem PDEs with particular reservoir modelling problem.
sci-hub.se 参考文章(14)
Douglas M. Bates, Mary J Lindstrom, Grace Wahba, Brian S Yandell, Gcvpack – routines for generalized cross validation Communications in Statistics - Simulation and Computation. ,vol. 16, pp. 263- 297 ,(1987) , 10.1080/03610918708812590
Grace Wahba, None, Constrained Regularization for Ill Posed Linear Operator Equations, with Applications in Meteorology and Medicine. Statistical Decision Theory and Related Topics III. pp. 383- 418 ,(1982) , 10.1016/B978-0-12-307502-4.50028-3
J. Susskind, J. Rosenfield, D. Reuter, M. T. Chahine, Remote sensing of weather and climate parameters from HIRS2/MSU on Tiros-N Journal of Geophysical Research. ,vol. 89, pp. 4677- 4697 ,(1984) , 10.1029/JD089ID03P04677
George Kimeldorf, Grace Wahba, Some results on Tchebycheffian spline functions Journal of Mathematical Analysis and Applications. ,vol. 33, pp. 82- 95 ,(1971) , 10.1016/0022-247X(71)90184-3
Otto Neall Strand, Theory and Methods Related to the Singular-Function Expansion and Landweber's Iteration for Integral Equations of the First Kind SIAM Journal on Numerical Analysis. ,vol. 11, pp. 798- 825 ,(1974) , 10.1137/0711066
Grace Wahba, None, A Comparison of GCV and GML for Choosing the Smoothing Parameter in the Generalized Spline Smoothing Problem Annals of Statistics. ,vol. 13, pp. 1378- 1402 ,(1985) , 10.1214/AOS/1176349743
Jean Meinguet, Multivariate interpolation at arbitrary points made simple Zeitschrift für Angewandte Mathematik und Physik. ,vol. 30, pp. 292- 304 ,(1979) , 10.1007/BF01601941
Finbarr O'Sullivan, Grace Wahba, None, A cross validated bayesian retrieval algorithm for nonlinear remote sensing experiments Journal of Computational Physics. ,vol. 59, pp. 441- 455 ,(1985) , 10.1016/0021-9991(85)90121-4
Costas Kravaris, John H. Seinfeld, Identification of Parameters in Distributed Parameter Systems by Regularization Siam Journal on Control and Optimization. ,vol. 23, pp. 217- 241 ,(1985) , 10.1137/0323017
R. S. Anderssen, P. M. Prenter, A formal comparison of methods proposed for the numerical solution of first kind integral equations The Journal of The Australian Mathematical Society. Series B. Applied Mathematics. ,vol. 22, pp. 488- 500 ,(1981) , 10.1017/S0334270000002824