Inverse and ill-posed problems of mathematical physics
Magneto- and electroencephalography (MEG/EEG)
Signal and Image processing
Michael V.Klibanov, Nikolay A. Koshev, Dinh-Liem Nguyen, Loc H. Nguyen, Aaron Brettin,
Vasily N. Astratov. A numerical method to solve a phaseless coefficient inverse problem from a
single measurement of experimental data. SIAM J. Imaging Sci., Vol.11(4), 2339-2367, 2018.
E. Miqueles, N. Koshev, E.S. Helou. A Backprojection Slice Theorem for Tomographic Re-
construction. IEEE Transactions on Image Processing, V PP, Issue 99, 14 pp, 2017.
Anatoly B. Bakushinskii, Michael V. Klibanov and Nikolaj A. Koshev. Carleman weight
functions for a globally convergent numerical method for ill-posed Cauchy problems for some
quasilinear PDEs. Nonlinear Analysis Series B: Real World Applications, Vol. 34, 201-224,
Michael V. Klibanov, Nikolay Koshev, Anatoly G. Yagola, Jingzhi Li. Numerical solution of
an ill-posed Cauchy problem for a quasilinear parabolic equation using a Carleman weight
function. Journal of Inverse and ill-posed Problems, 2016.
N.A. Koshev, A.N. Koshev, V.V. Kuzina. Voltammetry: mathematical modelling and Inverse
Problem, Chemometrics and Intelligent Laboratory Systems, Vol.157, 78-84, 2016.
N. Koshev. On the solution of forward and inverse problems of voltammetry, Inverse Problems
and Applications, Springer Proceedings in Mathematics & Statistics, 120, 153-164, 2015.
A. Koshev, I.Gvozdeva, N. Koshev, Mathematical Model and Software for Calculation the
Parameters of Control of Automated Process Extraction of Metals in Reactor with Flowing
Three-Dimensional Electrode, Applied Mathematical Sciences, Vol. 8, no. 124, 6171 – 6179,
N. Koshev and L. Beilina, A posteriori error estimates for Fredholm integral equations of the
first kind, Applied Inverse Problems, Springer Proceedings in Mathematics & Statistics, V. 48,
N. Koshev and L. Beilina, An adaptive finite element method for Fredholm integral equations
of th:we first kind and its verification on experimental data, Central European Journal of
Mathematics, V. 11, 1489-1509, 2013.
Yagola A.G., Koshev N.A. Restoration of smeared and defocused color images, Numerical
Methods and Programming, V.9, 207-212, 2008 (in Russian).
Koshev N.A., Orlikovsky N.A., Rau E.I., Yagola A.G. Solution of the inverse problem of
restoring the signals from an electronic microscope in the backscattered electron mode on the
class of bounded variation functions, Numerical Methods and Programming, V.11, 362-367,
2011 (in Russian).
N.A. Koshev, F.A. Luk’anov, E.I. Rau, R.A. Sennov, and A.G. Yagola. Increasing Spatial
Resolution in the Backscattered Electron Mode of Scanning Electron Microscopy, Bulletin ofthe Russian Academy of Sciences. Physics, V. 75, 1181-1184, Allerton Press, 2011.
S.I. Zaycev, N.A. Koshev, F.A. Lukyanov, E.I. Rau, E.B. Yakimov. Straight measurement
of diameter and current density arrangement in crossover of the electron probe, Abstracts for
XXIII Rissian Conference in Electronic Microscopy, Chernogolovka, 2010.
N. A. Koshev, N. A. Orlikovskii, E. I. Rau, and A. G. Yagola. Reconstructing the Energy
Spectra of Backscattered Electrons with Allowance for the Spectrometer’s Spread Function,
Bulletin of the Russian Academy of Sciences. Physics, V. 76, 959-964, Allerton Press, Inc.,
A.V. Gostev, N. A. Koshev, N.A. Orlikovsky, E.I. Rau. Hardware function of the toroidal spec-
trometer and its influence on detected electrons spectra. XXIV Russian electronic microscopy
conference, Chernogolovka, Russia, p. 177, 2012 (In Russian).