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Titlebook: Approximation Theory XV: San Antonio 2016; Gregory E. Fasshauer,Larry L. Schumaker Conference proceedings 2017 Springer International Publ

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期刊全称Approximation Theory XV: San Antonio 2016
影响因子2023Gregory E. Fasshauer,Larry L. Schumaker
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发行地址Contains journal-quality papers discussing the latest research advances in a variety of subareas of Approximation Theory.Includes supplementary material:
学科分类Springer Proceedings in Mathematics & Statistics
图书封面Titlebook: Approximation Theory XV: San Antonio 2016;  Gregory E. Fasshauer,Larry L. Schumaker Conference proceedings 2017 Springer International Publ
影响因子.These proceedings are based on papers presented at the international conference Approximation Theory XV, which was held May 22–25, 2016 in San Antonio, Texas. The conference was the fifteenth in a series of meetings in Approximation Theory held at various locations in the United States, and was attended by 146 participants. The book contains longer survey papers by some of the invited speakers covering topics such as compressive sensing, isogeometric analysis, and scaling limits of polynomials and entire functions of exponential type.. .The book also includes papers on a variety of current topics in Approximation Theory drawn from areas such as advances in kernel approximation with applications, approximation theory and algebraic geometry, multivariate splines for applications, practical function approximation, approximation of PDEs, wavelets and framelets with applications, approximation theory in signal processing, compressive sensing, rational interpolation, spline approximation in isogeometric analysis, approximation of fractional differential equations, numerical integration formulas, and trigonometric polynomial approximation..
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书目名称Approximation Theory XV: San Antonio 2016被引频次学科排名




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书目名称Approximation Theory XV: San Antonio 2016读者反馈学科排名




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Approximation by , Splines on Piecewise Conic Domains,We develop a Hermite interpolation scheme and prove error bounds for . bivariate piecewise polynomial spaces of Argyris type vanishing on the boundary of curved domains enclosed by piecewise conics.
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On Polynomials with Vanishing Hessians and Some Density Problems,We propose a conjecture regarding homogeneous polynomials with vanishing Hessian and indicate some evidence for its validity. The conjecture is related to a question of Allan Pinkus and Bronislaw Wajnryb regarding density of certain classes of polynomials.
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A Polygonal Spline Method for General Second-Order Elliptic Equations and Its Applications,line method will be studied. Also, we will use this approach to numerically study the solution of some mixed parabolic and hyperbolic partial differential equations. Comparison with standard bivariate spline method will be given to demonstrate that our polygonal splines have some better numerical performance.
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A Class of Intrinsic Trigonometric Mode Polynomials, provide sufficient conditions for a positiveness of the instantaneous frequency, number of zeros and extrema, and the proximity of upper and lower envelopes. The question of necessity of each of the conditions is discussed in numerical examples. We also introduce an orthonormal basis in . of weak intrinsic mode functions.
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