Publications
Homepage
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A.A. Medovikov, V.I. Lebedev
Variable time
steps optimization of Lω stable Crank-Nicolson method. Russian Journal of Numerical Analysis and Mathematical Modelling Publisher: Brill Academic Publishers. ISSN: 0927-6467 (Paper) 1569-3988 (Online) Volume 20, Number 3, June 2005
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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)
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A. Abdulle, A. Medovikov
Second order Chebyshev methods based on
orthogonal polynomials. Numerische Mathematik 2001 V90.1. pp.1-18
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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, 55--63; translation in Russian Math. (Iz. VUZ) 42
(1998), no. 9, 52--60 (1999) (English translation).
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Medovikov A.A.
Composition explicit methods for stiff ordinary differential
equations. Finite difference methods: theory and applications (Rousse,
1997), 183--195, Nova Sci. Publ., Commack, NY, 1999.
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Medovikov A.A.
High order explicit methods for
parabolic equations. BIT, V38,No2,pp.372-390,1998
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Medovikov A.A.
Third order explicit method for
stiff ordinary differential equations. Lecture Notes of Computer
science. Springer. 1196, 1997, pp. 327-334.
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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.
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Kazakov A.N., Lebedev V.I., Medovikov A.A.
Increased accuracy Crank-Niklson schemes with
the variable time steps for non-stationary problems with
skew-symmetrical operators. Russian J. Numer. Anal. Math. Modelling 8
(1993), no. 1, 47--58.
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Medovikov A.A. (in Russian)
Explicit and explicit-implicit methods of solution of stiff
differential equations. Ph.D. thesis Institute of Numerical Math. of
the Russian Academy of Science, pp. 1-130, 1993
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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.
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Medovikov A.A. (in Russian)
Optimization of explicit methods of solution of stiff ordinary
differential equations. New information technology- theory and
applications.OZPI, 1992.
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Medovikov A.A. (in Russian)
Solution of one "unusual" problem. Conjugate equations and
perturbation algorithms, Institute of Numerical Math. Russian Academy
of Science 1989.
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Medovikov A.A. (in Russian)
The explicit methods of solution non-stationary problems. Conjugate
equations and perturbation algorithms. Institute of Numerical Math.
Russian Academy of Science 1989.