This book is the result of reworking part of a rather lengthy course of lectures of which we delivered several versions at the Leningrad and Moscow Universities. In these lectures we presented an introduction to the fundamental topics of topology: homology theory, homotopy theory, theory of bundles, and topology of manifolds. The structure of the course was well determined by the guiding term elementary topology, whose main significance resides in the fact that it made us use a rather simple apparatus. tn this book we have retained {hose sections of the course where algebra plays a...
This book is the result of reworking part of a rather lengthy course of lectures of which we delivered several versions at the Leningrad and Moscow Un...
Interesting and often unexpected achievements of the mechanics of space flight throw a new light onto several classical problems. The book s emphasis is on analysis carried out on the level of graphs and drawings, and sometimes numbers, revealing the beauty of the research process leading to the results.
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Interesting and often unexpected achievements of the mechanics of space flight throw a new light onto several classical problems. The book s emphas...
This monograph is devoted to the construction of highly accurate difference schemes for parabolic boundary value problems, based on Pade approximations. The investigation is based on a new notion of positivity of difference operators in Banach spaces, which allows one to deal with difference schemes of arbitrary order of accuracy. Establishing coercivity inequalities allows one to obtain sharp - that is, two-sided - estimates of convergence rates. The proofs are based on results in interpolation theory of linear operators. The book should be of value to professional mathematicians, as well as...
This monograph is devoted to the construction of highly accurate difference schemes for parabolic boundary value problems, based on Pade approximation...
A well-known and widely applied method of approximating the solutions of problems in mathematical physics is the method of difference schemes. Modern computers allow the implementation of highly accurate ones; hence, their construction and investigation for various boundary value problems in mathematical physics is generating much current interest. The present monograph is devoted to the construction of highly accurate difference schemes for parabolic boundary value problems, based on Pade approximations. The investigation is based on a new notion of positivity of difference operators in...
A well-known and widely applied method of approximating the solutions of problems in mathematical physics is the method of difference schemes. Modern ...
The aim of the present book is to demontstrate the basic methods for solving the classical linear problems in mathematical physics of elliptic, parabolic and hyperbolic type.
The aim of the present book is to demontstrate the basic methods for solving the classical linear problems in mathematical physics of elliptic, parabo...
Interesting and often unexpected achievements of the mechanics of space flight throw a new light onto several classical problems. The book's emphasis is on analysis carried out on the level of graphs and drawings, and sometimes numbers, revealing the beauty of the research process leading to the results.
Interesting and often unexpected achievements of the mechanics of space flight throw a new light onto several classical problems. The book's emphas...
