The Theory of Cubature Formulas (Mathematics and Its Applications) by S.L. Sobolev

by S.L. Sobolev

Foreword to the English Translation. Preface. From the Preface to `Introduction to the Theory of Cubature Formulas'. 1. Problems and Results of the Theory of Cubature Formulas. 2. Cubature Formulas of Finite Order. 3. Formulas with Regular Boundary Layer for Rational Polyhedra. 4. The Rate of Convergence of Cubature Formulas. 5. Cubature Formulas with Regular Boundary Layer. 6. Universal Asymptotic Optimality. 7. Cubature Formulas of Infinite Order. 8. Functions of A Discrete Variable. 9. Optimal Formulas. References. Notation Index. Subject Index.

Hardcover

First published June 30, 1997