Sub-Riemannian geometry (also known as Carnot geometry in France, and non-holonomic Riemannian geometry in Russia) has been a full research domain for fifteen years, with motivations and ramifications in several parts of pure and applied mathematics, namely: control theory classical mechanics Riemannian geometry (of which sub-Riemannian geometry constitutes a natural generalization, and where sub-Riemannian metrics may appear as limit cases) diffusion on manifolds analysis of hypoelliptic operators Cauchy-Riemann (or CR) geometry. Although links between these domains had been...
Sub-Riemannian geometry (also known as Carnot geometry in France, and non-holonomic Riemannian geometry in Russia) has been a full research domain ...
The idea for this study came to me in the course of my reading of innova tive US-American fiction of the last three decades. I observed that much of it is cast in the comic mode - or, more precisely, that there seems to be in contemporary fiction an affinity between 'innovation' and 'the comic' and that this affinity, furthermore, appears to be characteristic of postmo dernism. It is obvious, at the same time, that comic has become an elusive and, more often than not, a disputable category. Frederick Karl, in his sur vey of American Fictions 1940-1980, maintains, for instance, that much...
The idea for this study came to me in the course of my reading of innova tive US-American fiction of the last three decades. I observed that much of ...
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...