Approximation Theory XVI

Gregory E. Fasshauer is Professor and Head of the Applied Mathematics and Statistics Department at the Colorado School of Mines. He is the author of two books on kernel-based approximation methods, and co-editor of three proceedings volumes. His research is concerned with the theory and applications of kernel-based approximation methods in approximation theory, numerical analysis, data fitting and machine learning.Marian Neamtu is Professor and Chair of the Department of Mathematics at Vanderbilt University. His current research interests are in approximation theory, splines, geometric design, and numerical analysis.Larry L. Schumaker is Stevenson Professor of Mathematics at Vanderbilt University.  He is a fellow of the AMS, a SIAM fellow, and a member of the Norwegian Academy of Sciences.  He is the author of three books on splines, and is a co-editor of over 40 proceedings volumes.  He continues to do research on splines and their applications.

• 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.