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Ill-posed problems in mechanics
Mechanics of Solids, 2016The notion of ill-posed initial and boundary value problems for partial differential equations was introduced by Hadamard, who also presented the first example of an ill-posed problem for a specific partial differential equation. At the same time, there are numerous examples of ill-posed problems in any field of mechanics.
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Ill-Posed Problems of Geomechanics
Journal of Mining Science, 2018The classical solution of elasticity problem on deformation of a plane weakened by a mathematical cut under wedging by constant forces is analyzed. The ill-posedness of the classical failure mechanics statements for problems with angular points is demonstrated.
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A New Algorithm for Ill-Posed Problem of GNSS-Based Ionospheric Tomography
Remote Sensing, 2023Debao Wen
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International Journal of Mathematics Trends and Technology, 2019
K Saranya, Ms.N Rajakumari
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K Saranya, Ms.N Rajakumari
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Learning, Regularization and Ill-Posed Inverse Problems.
2004Many works have shown that strong connections relate learning from examples to regularization techniques for ill-posed inverse problems. Nevertheless by now there was no formal evidence neither that learning from examples could be seen as an inverse problem nor that theoretical results in learning theory could be independently derived using tools from ...
ROSASCO, LORENZO +4 more
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Regularization of Ill-Posed Problems.
1978Abstract : Some examples of linear ill-posed problems in engineering are given and a general class of regularization methods for ill-posed linear operator equations is studied. Rates of convergence for the general method are estabished under various assumptions on the data. Applications are given to a number of iterative and noniterative regularization
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On the ill-posed analytic continuation problem: An order optimal regularization scheme
Applied Numerical Mathematics, 2021Fridoun Moradlou +2 more
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Nonlinear ill-posed problem analysis in model-based parameter estimation and experimental design
Computers and Chemical Engineering, 2015Tilman Barz +2 more
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