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A.A. Medovikov, V.I. Lebedev
Variable time
steps optimization of L_{ω} stable CrankNicolson method. Russian Journal of Numerical Analysis and Mathematical Modelling Publisher: Brill Academic Publishers. ISSN: 09276467 (Paper) 15693988 (Online) Volume 20, Number 3, June 2005

R. Cortez, L. Fauci, A. Medovikov
The method of
regularized stokeslets in three dimensions: analysis, validation, and
application to helical swimming. Physics of Fluids 17, 031504 2005(has been selected for the
March 1, Volume 9, Issue 5, 2005 of
Virtual Journal of Biological Physics Research)

A. Abdulle, A. Medovikov
Second order Chebyshev methods based on
orthogonal polynomials. Numerische Mathematik 2001 V90.1. pp.118

Lebedev V.I., Medovikov A.A.
Method of second order accuracy with variable time steps.
IzvestiyaVyzov. Matamatika. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat.
1998, , no. 9, 5563; translation in Russian Math. (Iz. VUZ) 42
(1998), no. 9, 5260 (1999) (English translation).

Medovikov A.A.
Composition explicit methods for stiff ordinary differential
equations. Finite difference methods: theory and applications (Rousse,
1997), 183195, Nova Sci. Publ., Commack, NY, 1999.

Medovikov A.A.
High order explicit methods for
parabolic equations. BIT, V38,No2,pp.372390,1998

Medovikov A.A.
Third order explicit method for
stiff ordinary differential equations. Lecture Notes of Computer
science. Springer. 1196, 1997, pp. 327334.

Medovikov A.A. (in Russian)
Solution of Cauchi problems for ordinary differential equations with
usage of the Chebyshev polynomials. Vestnik Moskovskogo Universiteta
V.6,1995.

Kazakov A.N., Lebedev V.I., Medovikov A.A.
Increased accuracy CrankNiklson schemes with
the variable time steps for nonstationary problems with
skewsymmetrical operators. Russian J. Numer. Anal. Math. Modelling 8
(1993), no. 1, 4758.

Medovikov A.A. (in Russian)
Explicit and explicitimplicit methods of solution of stiff
differential equations. Ph.D. thesis Institute of Numerical Math. of
the Russian Academy of Science, pp. 1130, 1993

Terekhov A.I., Medovikov A.A.
The dynamic model for the age
structure of research staff by taking the productivity factor into
account. Optimization of multi criteria dynamical problems OZPI. 1991.

Medovikov A.A. (in Russian)
Optimization of explicit methods of solution of stiff ordinary
differential equations. New information technology theory and
applications.OZPI, 1992.

Medovikov A.A. (in Russian)
Solution of one "unusual" problem. Conjugate equations and
perturbation algorithms, Institute of Numerical Math. Russian Academy
of Science 1989.

Medovikov A.A. (in Russian)
The explicit methods of solution nonstationary problems. Conjugate
equations and perturbation algorithms. Institute of Numerical Math.
Russian Academy of Science 1989.