S.L. Sobolev (1908 1989) was a great mathematician of the twentieth century. His selected works included in this volume laid the foundations for intensive development of the modern theory of partial differential equations and equations of mathematical physics, and they were a gold mine for new directions of functional analysis and computational mathematics.
The topics covered in this volume include Sobolev s fundamental works on equations of mathematical physics, computational mathematics, and cubature formulas. Some of the articles are generally unknown to mathematicians because...
S.L. Sobolev (1908 1989) was a great mathematician of the twentieth century. His selected works included in this volume laid the foundations for in...
This volume considers various methods for constructing cubature and quadrature formulas of arbitrary degree. These formulas are intended to approximate the calculation of multiple and conventional integrals over a bounded domain of integration. The latter is assumed to have a piecewise-smooth boundary and to be arbitrary in other aspects. Particular emphasis is placed on invariant cubature formulas and those for a cube, a simplex, and other polyhedra. Here, the techniques of functional analysis and partial differential equations are applied to the classical problem of numerical integration,...
This volume considers various methods for constructing cubature and quadrature formulas of arbitrary degree. These formulas are intended to approximat...
Presents the theory of functions spaces, known as Sobolev spaces, which are widely used in the theory of partial differential equations, mathematical physics, and numerous applications. This book also covers the variational method of solution of boundary v
Presents the theory of functions spaces, known as Sobolev spaces, which are widely used in the theory of partial differential equations, mathematical ...
