PEER-REVIEWED PUBLICATIONS
1. A. B.Smirnova,
R. A. Renaut and T. Khan, Convergence and application of a modified iteratively regularized
Gauss–Newton algorithm. Inverse Problems, 23, N4, 1547-1563 (2007).
2. A.B.Bakushinsky, A.B.Smirnova, Iterative
regularization and generalized discrepancy principle for monotone operator
equations. Numerical Functional
Analysis and Optimization, 28, N1-2, 13-25 (2007).
3. R.G.Airapetyan, A.B.Smirnova,
On Dynamical Systems Method for Solving
Nonlinear Operator Equations, Intern.
Journal of Pure and Appl. Math, 36, N1,
63-74 (2007).
4. A.B.Bakushinsky, A.B.Smirnova, A posteriori stopping rule for regularized
fixed-point iterations. Journal of Nonlinear Analysis Series A:
Theory, Methods & Applications, 64, N6, 1255-1261 (2006).
5. A.B.Bakushinsky, A.B.Smirnova, M.A.Skinner, Iteratively Regularized Gradient Method with a Posteriori Stopping Rule
for 2D Inverse Gravimetry Problem. Journal of Integral Equations and
Applications, 17, N4, 375-390 (2005).
6. A.B.Bakushinsky, T.Khan, A.B.Smirnova, Inverse Problem in Optical Tomography and its
Numerical Investigation by Iteratively Regularized Methods. Journal of Inverse and Ill-Posed Problems,
13, N3-6, 537-551 (2005).
7. A.B.Smirnova, Regularized
Quasi-Newton method with continuous inversion of F'+\varepsilon
I for monotone ill-posed operator equations. Contemporary Mathematics,
379, 113-124 (2005).
8. A.B.Bakushinsky, A.B.Smirnova, On application of generalized discrepancy
principle to iterative methods for nonlinear ill-posed problems. Numerical Functional Analysis and
Optimization, 26, N1, 35-48
(2005).
9. T.Khan, A.B.Smirnova, 1D
Inverse Problem in Diffusion Based Optical Tomography Using Iteratively
Regularized Gauss-Newton Algorithm. Applied Mathematics and Computation, 161, N1, 149-170 (2005).
10. A.G.Ramm, A.B.Smirnova, On deconvolution
problems: numerical aspects. Journal of Computational and Applied
Mathematics, 176, N2, 445-460 (2005).
11. A.G.Ramm, A.B.Smirnova, Stable Numerical Differentiation: when is it
possible? Journal Korean
12. A.G.Ramm, A.B.Smirnova, A.Favini, Continuous
modified
13. R.B.Alexeev, A.B.Smirnova, Regularization of nonlinear unstable
operator equations by secant methods with application to gravitational sounding
problem. Contemporary Mathematics, 313, 1-17 (2002).
14. A.G.Ramm, A.B.Smirnova, Continuous regularized Gauss-Newton-type
algorithm for nonlinear ill-posed equations with simultaneous updates of
inverse derivative. Intern. Journal of Pure and Appl.
Math, 2, N1, 23-34 (2002).
15. A.G.Ramm, A.B.Smirnova, On stable numerical
differentiation. Mathematics of
Computation, 70, 1131-1153 (2001).
16. R.G.Airapetyan, A.G.Ramm, A.B.Smirnova, Continuous
methods for solving nonlinear ill-posed problems. In the book ‘Operator
theory and its applications’, Amer. Math.Soc.,
Providence RI, Fields Inst. Commun.,
25, 111-137 (2000).
17. A.G.Ramm, A.B.Smirnova, A numerical method for solving the inverse
scattering problem with fixed-energy phase shifts. Journal of Inverse and Ill-Posed Problems, 8, N3, 307-322
(2000).
18. R.G.Airapetyan, A.G.Ramm, A.B.Smirnova, Example
of two different potentials which have practically the same fixed-energy phase
shifts. Phys. Letters A. 254, N3-4, 141-148 (1999).
19. A.G.Ramm, A.B.Smirnova, A numerical method for solving nonlinear
ill-posed problems. Numerical Functional Analysis and Optimization.
20, N3, 317-332 (1999).
20. R.G.Airapetyan, A.G.Ramm, A.B.Smirnova, Continuous
analog of Gauss-Newton method. Math.
Models and Meth .in Appl. Sci. 9,
N3, 463-474 (1999).
21. A.B.Smirnova, Monotonic
procedures for nonlinear ill-posed problems in C-spaces (Russian). Matematika. Izvestija Vuzov. 1, 1-3 (1997).
22. A.B.Smirnova, V.V.Vasin, Iterative Approximation of Solutions to
Nonlinear Unstable Problems in a Hilbert Space. Russ. J. Numer. Anal. Math. Model. 8, N2, 127-145
(1993).
23. A.B.Smirnova, Discrete and
Iterative Approximation of Solutions to Nonlinear Ill-Posed Problems (Russian).
Matematika. Izvestija Vuzov, 8, 73-79 (1992).
24. A.B.Smirnova, Variational
regularization and iterative approximation of solutions to nonlinear operator
equations (Russian). Math. and
PROCEEDINGS (REFEREED)
1.
A.B.Bakushinsky, A.B.Smirnova, ‘On
application of Generalized Gauss-Newton Schemes to Inverse Problem in Optical
Tomography’, Proceedings of International Conference ’Tikhonov and Contemporary Mathematics’, Section
on Inverse and Ill-Posed Problems, 38-39, June (2006),
2.
A.B.Smirnova, Regularization of nonlinear unstable operator
equations by Gauss-Newton-type algorithm with simultaneous updates of inverse
derivative, Proceedings of Russian Conference ‘Algorithmic Analysis
of Ill-Posed Problems’, 99-100, February (2004),
3.
A.B.Smirnova, ‘Continuous Gauss-Newton-type algorithm for
nonlinear ill-posed operator equations with simultaneous updates of the
regularized Frechet derivative’, Proceedings
of International Conference ’Kolmogorov
and Contemporary Mathematics’, 246-247, June (2003),
4.
S.J.Coorpender, D.Finkel, J.Kyzar, R.Sims, A.B.Smirnova, M.Tawhid, C.E. Bouton, R.C.Smith, Modeling
and optimization issues concerning a circular piezoelectric actuator design.
Proceedings of the International Mechanical Engineering Congress / Exposition,
14-19, November (1999),