Approximation Theory XIV: San Antonio 2013

Gregory E. Fasshauer, Larry L. Schumaker (Herausgeber)

Buch | Hardcover

XIII, 395 Seiten

2014
Springer International Publishing (Verlag)
978-3-319-06403-1 (ISBN)

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These proceedings were prepared in connection with the 14th International Conference on Approximation Theory, which was held April 7-10, 2013 in San Antonio, Texas. The conference was the fourteenth in a series of meetings in Approximation Theory held at various locations in the United States. The included invited and contributed papers cover diverse areas of approximation theory with a special emphasis on the most current and active areas such as compressed sensing, isogeometric analysis, anisotropic spaces, radial basis functions and splines. Classical and abstract approximation is also included. The book will be of interest to mathematicians, engineers/ and computer scientists working in approximation theory, computer-aided geometric design, numerical analysis and related application areas.

Isogeometric Method for the Elliptic Monge-Ampère Equation.- Dual Compatible Splines on non Tensor Product Meshes.- Multivariate Anisotropic Interpolation on the Torus.- A Generalized Class of Hard Thresholding Algorithms for Sparse Signal Recovery.- On a New Proximity Condition for Manifold-Valued Subdivision Schemes.- Wachspress and Mean Value Coordinates.- Hermite and Bernstein Style Basis Functions for Cubic Serendipity Spaces on Squares and Cubes.- Suitability of Parametric Shepard Interpolation for Nonrigid Image Registration.- Parabolic Molecules: Curvelets, Shearlets and Beyond.- Microlocal Analysis of Singularities from Directional Multiscale Representations.- Barycentric Interpolation.- Numerical Determination of Extremal Points and Asymptotic Order of Discrete Minimal Riesz Energy for Regular Compact Sets.- Eigenvalue Sequences of Positive Integral Operators and Moduli of Smoothness.- Reconstructing Multivariate Trigonometric Polynomials from Samples Along Rank-1 Lattices.- On Non-degenerate Rational Approximation.- Multivariate C¹-continuous Splines on the Alfeld Split of a Simplex.- On Convergence of Singular Integral Operators with Radial Kernels.- Lower Bound on the Dimension of Trivariate Splines on Cells.- One Characterization of Lagrange Projectors.- Minimal versus Orthogonal Projections onto Hyperplanes in ⁿ1 and ⁿ.- On Hermite Interpolation by Splines with Continuous Third Derivatives.- Best Polynomial Approximation on the Unit Sphere and the Unit Ball.- Support Vector Machines in Reproducing Kernel Hilbert Spaces versus Banach Spaces.

Erscheint lt. Verlag	20.6.2014
Reihe/Serie	Springer Proceedings in Mathematics & Statistics
Zusatzinfo	XIII, 395 p. 70 illus., 25 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	777 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Interpolation • nonlinear approximation • polynomial approximation • Splines • subdivision
ISBN-10	3-319-06403-7 / 3319064037
ISBN-13	978-3-319-06403-1 / 9783319064031
Zustand	Neuware