Approximation Theory XVI : Nashville, TN, USA, May 19-22, 2019 / edited by Gregory E. Fasshauer, Marian Neamtu, Larry L. Schumaker.

Format:

Book

Contributor:

Fasshauer, Gregory E., editor.

Neamtu, Marian, 1965- editor.

Schumaker, Larry L., 1939- editor.

Series:

Springer Proceedings in Mathematics & Statistics, 2194-1017 ; 336

Language:

English

Subjects (All):

Approximation theory.

Approximations and Expansions.

Local Subjects:

Approximations and Expansions.

Physical Description:

1 online resource (VIII, 253 p. 41 illus., 36 illus. in color.)

Edition:

1st ed. 2021.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2021.

Summary:

These proceedings are based on the international conference Approximation Theory XVI held on May 19–22, 2019 in Nashville, Tennessee. The conference was the sixteenth in a series of meetings in Approximation Theory held at various locations in the United States. Over 130 mathematicians from 20 countries attended. The book contains two longer survey papers on nonstationary subdivision and Prony’s method, along with 11 research papers on a variety of topics in approximation theory, including Balian-Low theorems, butterfly spline interpolation, cubature rules, Hankel and Toeplitz matrices, phase retrieval, positive definite kernels, quasi-interpolation operators, stochastic collocation, the gradient conjecture, time-variant systems, and trivariate finite elements. The book should be of interest to mathematicians, engineers, and computer scientists working in approximation theory, computer-aided geometric design, numerical analysis, and related approximation areas.

Contents:

Time-variant System Approximation via later-time Samples

C1-quartic Butterfly-spline Interpolation on Type-1 Triangulations

Approximation with Conditionally Positive Definite Kernels on Deficient Sets

Non-stationary Subdivision Schemes: State of the Art and Perspectives

Cubature Rules Based on Bivariate Spline Quasi-interpolation for Weakly Singular Integrals

On DC based Methods for Phase Retrieval

Modifications of Pronys Method for the Recovery and Sparse Approximation of Generalized Exponential Sums

On Eigenvalue Distribution of Varying Hankel and Toeplitz Matrices with Entries of Power Growth or Decay

On the Gradient Conjecture for Quadratic Polynomials

Balian-Low Theorems in Several Variables

Quasi-Interpolant Operators and the Solution of Fractional Differential Problems

Stochastic Collocation with Hierarchical Extended B-splines on Sparse Grids

Trivariate Interpolated Galerkin Finite Elements for the Poisson Equation

Index.

ISBN:

3-030-57464-4