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1997, Mathematics in science and engineering, ISBN 9780120567454, Volume 194, 319
Written by two international experts in the field, this book is the first unified survey of the advances made in the last 15 years on key non-standard and... 
Differential equations, Partial | Improperly posed problems | Mathematics
eBook
1998, 1st ed., Applied mathematics and mathematical computation, ISBN 9780412786600, Volume 14., 2 v. (387 p.)
Book
Journal of Inverse and Ill-posed Problems, ISSN 0928-0219, 06/2019, Volume 27, Issue 3, pp. 453 - 456
Journal Article
Numerische Mathematik, ISSN 0029-599X, 8/2019, Volume 142, Issue 4, pp. 789 - 832
This work is concerned with the iterative regularization of a non-smooth nonlinear ill-posed problem where the forward mapping is merely directionally but not... 
90C31 | Mathematical Methods in Physics | 49K20 | 49K40 | Numerical Analysis | Theoretical, Mathematical and Computational Physics | Mathematical and Computational Engineering | Mathematics, general | Mathematics | Numerical and Computational Physics, Simulation | MATHEMATICS, APPLIED | CONVERGENCE | PARAMETER-IDENTIFICATION | REGULARIZATION
Journal Article
AIP Conference Proceedings, ISSN 0094-243X, 12/2016, Volume 1789, Issue 1
This paper deals with Protter problems for Keldysh type equations in ℝ4. Originally such type problems are formulated by M. Protter for equations of Tricomi... 
Problems | Mathematical analysis | Ill-posed problems (mathematics)
Journal Article
Journal of Mathematical Sciences, ISSN 1072-3374, 3/2019, Volume 237, Issue 6, pp. 804 - 809
The paper discusses the de-noising method in a model with an additive Gaussian noise, based on the wavelet-vaguelette decomposition and thresholding of the... 
Mathematics, general | Mathematics
Journal Article
Applied Physics Letters, ISSN 0003-6951, 09/2019, Volume 115, Issue 12
Random two-frame phase-shifting interferometry (PSI) is an advanced technique to retrieve the phase information from as few as two interferograms with unknown... 
Computer simulation | Phase shifters | Information retrieval | Ill-posed problems (mathematics) | Coefficient of variation | Optimization | Interferometry
Journal Article
Doklady Mathematics, ISSN 1064-5624, 11/2018, Volume 98, Issue 3, pp. 603 - 606
For optimal control problems, a new approach based on the search for an extremum of a special functional is proposed. The differential problem is reformulated... 
Mathematics, general | Mathematics | MATHEMATICS
Journal Article
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, ISSN 1311-0454, 06/2019, Volume 22, Issue 3, pp. 699 - 721
Journal Article
AIP Conference Proceedings, ISSN 0094-243X, 10/2016, Volume 1776, Issue 1
We study a discrete bilevel problem, called as well as leader-follower problem, with multiple objectives at the lower level. It is assumed that constraints at... 
Mixed integer | Series (mathematics) | Ill-posed problems (mathematics) | Heuristic
Journal Article
Journal of Scientific Computing, ISSN 0885-7474, 5/2017, Volume 71, Issue 2, pp. 469 - 498
Journal Article
BIT Numerical Mathematics, ISSN 0006-3835, 05/2018, Volume 58, Issue 3, pp. 1 - 2
To access, purchase, authenticate, or subscribe to the full-text of this article, please visit this link: http://dx.doi.org/10.1007/s10543-018-0708-y The... 
Image processing | Methods
Journal Article
Journal of the Physical Society of Japan, ISSN 0031-9015, 08/2018, Volume 87, Issue 8, p. 1
In natural sciences and engineering, observed data are often measured as a wrapped phase. Phase unwrapping is the problem of restoring such discontinuous... 
Studies | Engineering | Inverse problems | Signal processing | Markov chains | Models | Ill-posed problems (mathematics) | Fields (mathematics) | Experiments | Bayesian analysis
Journal Article
Mechanical Systems and Signal Processing, ISSN 0888-3270, 05/2018, Volume 104, p. 1
Dynamic forces reconstruction from vibration data is an ill-posed inverse problem. A standard approach to stabilize the reconstruction consists in using some... 
Studies | Reconstruction | Validity | Vibration | Inverse problems | Standard deviation | Excitation | Ill-posed problems (mathematics) | Regularization
Journal Article
Journal of Inequalities and Applications, ISSN 1029-242X, 12/2019, Volume 2019, Issue 1, pp. 1 - 14
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 01/2019, Volume 77, Issue 1, pp. 15 - 33
We study for the first time the backward problem for nonlocal nonlinear boundary value problem of Kirchhoff’s model of parabolic type. First, we show that the... 
Ill-posed problem | Backward problem | Quasi-reversibility method | regularization | Boundary value problems | Ill-posed problems (mathematics)
Journal Article
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