{"product_id":"9780792346319","title":"Mathematics and Its Applications","description":"\u003ch1\u003eMathematics and Its Applications\u003c\/h1\u003e \u003ch2\u003eSobolev, S.L.; Vaskevich, Vladimir L.\u003c\/h2\u003e \u003cp\u003eThis 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, to  establish many important and deep analytical properties of cubature  formulas. The prerequisites of the theory of many-dimensional discrete  function spaces and the theory of finite differences are concisely  presented. Special attention is paid to constructing and studying the  optimal cubature formulas in Sobolev spaces. As an asymptotically  optimal sequence of cubature formulas, a many-dimensional abstraction  of the Gregory quadrature is indicated. \u003cbr\u003e  \u003cem\u003eAudience:\u003c\/em\u003e This book is intended for researchers having a basic  knowledge of functional analysis who are interested in the  applications of modern theoretical methods to numerical mathematics.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 1997-06-30\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9780792346319\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-94-015-8913-0\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 418\u003c\/p\u003e ","brand":"Springer Netherlands","offers":[{"title":"Default Title","offer_id":46539702567052,"sku":"9780792346319","price":98.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780792346319.jpg?v=1775679205","url":"https:\/\/lateknightbooks.com\/products\/9780792346319","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}