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Serguei Piskarev
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Leading Scientific Fellow, SRCC of Moscow State University, Ph. D. (1981)
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Dissertation
- " Approximations of parabolic and hyperbolic
differential equations "
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Areas of research
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Differential equations, semigroups of operators, Numerical analysis in
differential equations,
Ill-posed problems for parabolic equations, Discretisation methods.
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Brief outline of achievements
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General theory of approximation of differential equations in Banach
spaces is developed
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Theorems on stability of Pade approximations are proved, in
particular, Crank-Nikolson scheme in a Banach space are investigated
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Established convergence theorems on approximations of semilinear
Cauchy problems and problems with periodic solutions
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Developed the general perturbation theory of semigroups and cosine operator
functions
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Investigated fundamental properties of resolution families of operators
such as compactness, asymptotical behaviour at infinity, almost
periodicity e.c.
(see for details in CV)
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Teaching
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Gave lectures on differential equations, linear algebra, analysis;
also special courses on approximation of semigroups of operators
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Publications
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Author and co-author of more than 60 papers and special issues
(see list of publications in
CV)
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939-5431
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 piskarev@srcc.msu.ru/
Home page
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