Because of this, inthe inverse problem, one needs tomake explicit anyavailable a priori information on the model parameters. One also needs to be careful in the representation of the data uncertainties. The most general (and simple) theory is obtained when using a probabilistic point of ...
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图书标签: 数学 反问题 科学计算 应用数学 InverseProblem 计算 专业参考书 Springer An Introduction to the Mathematical Theory of Inverse Problems 2025 pdf epub mobi 电子书 图书描述 This book introduces the reader to the area of inverse problems. The study of inverse problems is of vital interest ...
Firstly, the inverse problem is reformulated as a statistical inference problem using Bayes' formula, which provides statistical characteristics of the posterior distribution and quantification of the uncertainties. The well-posedness of the poste...
(\alpha >0\). This immediately gives rise to the question which operator in the family should be chosen for the reconstruction, i.e how to choose the parameter\(\alpha \). Usually the starting point of deterministic error analysis in regularization theory is the following splitting of the ...
图书标签: Regularization InverseProblem Mathematics Analysis Regularization of Inverse Problems 2025 pdf epub mobi 电子书 图书描述 This book is devoted to the mathematical theory of regularization methods and gives an account of the currently available results about regularization methods for linear and ...
Tarantola A (2005) Inverse problem theory and methods for model parameter estimation. SIAM Book MATH Google Scholar Tarantola A, Valette B (1982) Generalized nonlinear inverse problems solved using the least squares criterion. Reviews of Geophysics 20(2):219–232 Article MathSciNet Google Scholar...
In the paper “Inverse diffraction theory and computation of minimum source regions of far fields” by E. A. Marengo, a methodology based on the multipole expansion is developed to estimate the minimum source region of a given far field. The support of any source that produces the given far...
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Theory. 20.Driver:OrdinaryandDelayDifferential 48.Murray:AsymptoticAnalysis. Equations. 49.Ladyzhenskaya:TheBoundary-ValueProblems 21.Courant/Friedrichs:SupersonicFlowandShock ofMathematicalPhysics. Waves. 50.Wilcox:SoundPropagationinStratifiedFluids.