Cart
Free US shipping over $10
Proud to be B-Corp

Multivariate Spline Functions and Their Applications Ren-Hong Wang

Multivariate Spline Functions and Their Applications By Ren-Hong Wang

Multivariate Spline Functions and Their Applications by Ren-Hong Wang


$76.79
Condition - New
Only 2 left

Summary

Deals with the algebraic geometric method of studying multivariate splines. This book includes topics such as: the theory of multivariate spline spaces, higher-dimensional splines, rational splines, piecewise algebraic variety, applications in the finite element method, and, computer-aided geometric design.

Multivariate Spline Functions and Their Applications Summary

Multivariate Spline Functions and Their Applications by Ren-Hong Wang

As is known, the book named "Multivariate spline functions and their applications" has been published by the Science Press in 1994. This book is an English edition based on the original book mentioned 1 above with many changes, including that of the structure of a cubic - interpolation in n-dimensional spline spaces, and more detail on triangu- lations have been added in this book. Special cases of multivariate spline functions (such as step functions, polygonal functions, and piecewise polynomials) have been examined math- ematically for a long time. I. J. Schoenberg (Contribution to the problem of application of equidistant data by analytic functions, Quart. Appl. Math., 4(1946), 45 - 99; 112 - 141) and W. Quade & L. Collatz (Zur Interpo- lations theories der reellen periodischen function, Press. Akad. Wiss. (PhysMath. KL), 30(1938), 383- 429) systematically established the the- ory of the spline functions. W. Quade & L. Collatz mainly discussed the periodic functions, while I. J. Schoenberg's work was systematic and com- plete. I. J. Schoenberg outlined three viewpoints for studing univariate splines: Fourier transformations, truncated polynomials and Taylor ex- pansions. Based on the first two viewpoints, I. J. Schoenberg deduced the B-spline function and its basic properties, especially the basis func- tions. Based on the latter viewpoint, he represented the spline functions in terms of truncated polynomials. These viewpoints and methods had significantly effected on the development of the spline functions.

Table of Contents

1 Introduction to Multivariate Spline Functions.- 2 Multivariate spline spaces.- 3 Other methods for studying multivariate spline functions.- 4 Higher-dimensional spline spaces.- 5 Rational spline functions.- 6 Piecewise algebraic curves and surfaces.- 7 Applications of multivariate spline functions in finite element method and CAGD.- References.

Additional information

NPB9780792369677
9780792369677
079236967X
Multivariate Spline Functions and Their Applications by Ren-Hong Wang
New
Hardback
Springer
2001-10-31
512
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

Customer Reviews - Multivariate Spline Functions and Their Applications