Common Zeros of Polynominals in Several Variables and Higher Dimensional Quadrature: 1st Edition (Paperback) book cover

Common Zeros of Polynominals in Several Variables and Higher Dimensional Quadrature

1st Edition

By Yuan Xu

Chapman and Hall/CRC

136 pages

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Paperback: 9780582246706
pub: 1994-10-10
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Hardback: 9781138417731
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Description

Presents a systematic study of the common zeros of polynomials in several variables which are related to higher dimensional quadrature. The author uses a new approach which is based on the recent development of orthogonal polynomials in several variables and differs significantly from the previous ones based on algebraic ideal theory. Featuring a great deal of new work, new theorems and, in many cases, new proofs, this self-contained work will be of great interest to researchers in numerical analysis, the theory of orthogonal polynomials and related subjects.

Table of Contents

Introduction

Preliminaries and lemmas

Motivations

Common zeros of polynomials in several variables: first case

Moller's lower bound for cubature

formula

Examples

Common zeros of polynomials in several variables: general case

Cubature formulae of even degree

Final discussions

About the Series

Chapman & Hall/CRC Research Notes in Mathematics Series

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Subject Categories

BISAC Subject Codes/Headings:
MAT003000
MATHEMATICS / Applied
MAT007000
MATHEMATICS / Differential Equations
MAT022000
MATHEMATICS / Number Theory