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Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 10/2016, Volume 442, Issue 2, pp. 451 - 468
This work develops the theory of the blow-up phenomena for one Sobolev initial–boundary value problem that arises in the theory of ion sound waves. This... 
Contracting mapping | Richardson extrapolation | Test function | Local solvability | Global unsolvability | Analysis | Algorithms | Numerical analysis
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 03/2018, Volume 459, Issue 1, pp. 159 - 181
This work develops the theory of the blow-up phenomena for one Sobolev problem that arises in the theory of propagation of nonlinear waves in semiconductors.... 
Instantaneous blow-up | Richardson extrapolation | Test function | Complete blow-up | Local solvability | Global unsolvability | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | PARABOLIC EQUATIONS | HEAT-EQUATIONS | Semiconductors | Wave propagation
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 01/2018, Volume 54, pp. 233 - 247
•Asymptotic method for solving coefficient inverse problem is proposed.•Strategy to generate a dynamic adapted mesh is described.•A priori information for the... 
Singularly perturbed problem | Interior and boundary layers | Coefficient inverse problem | Reaction-diffusion-advection equation | Final time observed data | Dynamically adapted mesh | MATHEMATICS, APPLIED | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | PHYSICS, FLUIDS & PLASMAS | PHYSICS, MATHEMATICAL | Analysis | Boundary layer
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 03/2019, Volume 77, Issue 5, pp. 1245 - 1254
Journal Article
Ultramicroscopy, ISSN 0304-3991, 12/2019, Volume 207, p. 112830
•New detectors arrangement decreases electron probe initial energy.•New technique for 3D surface reconstruction is proposed.•Improved detector configuration... 
Scanning electron microscopy | Reconstruction algorithm | Backscattered electrons detector | 3D topography | MICROSCOPY
Journal Article
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 05/2018, Volume 41, Issue 8, pp. 2906 - 2929
The initial‐boundary value problem for an equation of ion sound waves in plasma is considered. A theorem on nonextendable solution is proved. The blow‐up... 
test functions | numerical blow‐up diagnostics | nonextendable solution | contracting mapping | blow‐up phenomena | blow-up phenomena | numerical blow-up diagnostics | MATHEMATICS, APPLIED | Sound waves | Boundary value problems | Test procedures
Journal Article
Bulletin of the South Ural State University, Series: Mathematical Modelling, Programming and Computer Software, ISSN 2071-0216, 05/2017, Volume 10, Issue 2, pp. 107 - 123
Journal Article
Computational Mathematics and Mathematical Physics, ISSN 0965-5425, 09/2018, Volume 58, Issue 9, pp. 1499 - 1509
Sufficient conditions of the onset of the blow-up mode for the parabolic equation with double nonlinearity that describes the combustion process in a nonlinear... 
combustion process | parabolic equation with double nonlinearity | analytical-numerical method | MATHEMATICS, APPLIED | BLOW-UP | PHYSICS, MATHEMATICAL | Analysis | Combustion | Investigations | Nonlinearity | Boundary value problems | Upper bounds | Nonlinear analysis
Journal Article
Izvestiya Mathematics, ISSN 1064-5632, 2018, Volume 82, Issue 2, pp. 283 - 317
Journal Article
Computational Mathematics and Mathematical Physics, ISSN 0965-5425, 05/2017, Volume 57, Issue 5, pp. 867 - 875
A new algorithm for determining the optical parameters of deposited multilayer optical coatings based on comparing the positions of the extrema of the optical... 
inverse problems of optics | computational algorithm | spectral characteristics | MATHEMATICS, APPLIED | DESIGN | COATINGS | PHYSICS, MATHEMATICAL | ONLINE CHARACTERIZATION | ACCURACY | Models | Algorithms | Numerical analysis | Optical properties | Inverse problems | Computer simulation | Simulation | Optics | Mathematical models | Coatings | Microscopes | Optical coatings
Journal Article
Moscow University Physics Bulletin, ISSN 0027-1349, 7/2018, Volume 73, Issue 4, pp. 382 - 387
A method for improving the accuracy of the broad-band monitoring of the process of depositing optical coatings is proposed. The method is based on determining... 
broad-band optical monitoring | Theoretical, Mathematical and Computational Physics | Physics | multilayer optical coatings | spectral characteristics | ERRORS | PHYSICS, MULTIDISCIPLINARY | ALGORITHMS | ONLINE CHARACTERIZATION | Coatings
Journal Article
Inverse Problems in Science and Engineering, ISSN 1741-5977, 06/2016, Volume 24, Issue 5, pp. 811 - 831
Journal Article
Inverse Problems in Science and Engineering, ISSN 1741-5977, 03/2013, Volume 21, Issue 2, pp. 339 - 354
Journal Article
Eurasian Journal of Mathematical and Computer Applications, ISSN 2306-6172, 2016, Volume 4, Issue 3, pp. 4 - 14
Journal Article
Journal of Inverse and Ill-Posed Problems, ISSN 0928-0219, 03/2011, Volume 18, Issue 9, pp. 1013 - 1029
Journal Article
Eurasian Journal of Mathematical and Computer Applications, ISSN 2306-6172, 2018, Volume 6, Issue 4, pp. 38 - 47
Journal Article
CEUR Workshop Proceedings, ISSN 1613-0073, 2015, Volume 1482, pp. 185 - 189
Conference Proceeding
Solid Fuel Chemistry, ISSN 0361-5219, 1995, Volume 29, Issue 3, pp. 35 - 39
Journal Article
Khimiya Tverdogo Topliva, ISSN 0023-1177, 05/1995, Issue 3, pp. 38 - 42
Journal Article
Inorganica Chimica Acta, ISSN 0020-1693, 1983, Volume 77, Issue C, pp. L245 - L246
Journal Article
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