Topics in Multivariate Approximation
- 1st Edition - October 20, 1987
- Imprint: Academic Press
- Editors: C. K. Chui, L. L. Schumaker, F.I. Utreras
- Language: English
- Paperback ISBN:9 7 8 - 1 - 4 8 3 2 - 3 7 3 0 - 5
- eBook ISBN:9 7 8 - 1 - 4 8 3 2 - 7 1 0 0 - 2
Topics in Multivariate Approximation contains the proceedings of an international workshop on multivariate approximation held at the University of Chile in Santiago, Chile, on… Read more
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Request a sales quoteTopics in Multivariate Approximation contains the proceedings of an international workshop on multivariate approximation held at the University of Chile in Santiago, Chile, on December 15-19, 1986. Leading researchers in the field discussed several problem areas related to multivariate approximation and tackled topics ranging from multivariate splines and fitting of scattered data to tensor approximation methods and multivariate polynomial approximation. Numerical grid generation and finite element methods were also explored, along with constrained interpolation and smoothing. Comprised of 22 chapters, this book first describes the application of Boolean methods of approximation in combination with the theory of right invertible operators to bivariate Fourier expansions. The reader is then introduced to ill-posed problems in multivariate approximation; interpolation of scattered data by radial functions; and shape-preserving surface interpolation. Subsequent chapters focus on approximation by harmonic functions; numerical generation of nested series of general triangular grids; triangulation methods; and inequalities arising from best local approximations in rectangles. A bibliography of multivariate approximation concludes the book. This monograph will be of interest to mathematicians.
Preface
Participants
Boolean Methods in Fourier Approximation
Ill-Posed Problems in Multivariate Approximation
On Multivariate Vertex Splines and Applications
On the Theory and Application of Exponential Splines
Interpolation of Scattered Data by Radial Functions
Shape Preserving Surface Interpolation
Recent Advances in the Approximation of Surfaces from Scattered Data
Metaharmonic Splines for Solving the Exterior Dirichlet Problem for the Helmholtz Equation
Approximation by Harmonic Functions
A Short Survey on Cardinal Interpolation by Box Splines
Unisolvent Interpolation in IRn and the Simplicial Polynomial Finite Element Method
On Interpolation Systems and H-reducible Interpolation Problems
Attenuation Factors and Multivariate Periodic Spline Interpolation
Coordinate Free Scattered Data Interpolation
Approximation by Positive Elements of Subalgebras of Real-Valued Functions
Numerical Generation of Nested Series of General Triangular Grids
Composite Finite Elements of Class C2
Triangulation Methods
Constrained Surface Construction
Polynomial Reproducing Formulas and the Commutator of a Locally Supported Spline
On Inequalities Arising from Best Local Approximations in Rectangles
A Bibliography of Multivariate Approximation
- Edition: 1
- Published: October 20, 1987
- No. of pages (eBook): 346
- Imprint: Academic Press
- Language: English
- Paperback ISBN: 9781483237305
- eBook ISBN: 9781483271002
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