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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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Computing with Functions on Domains with Arbitrary Shapes,operations for domains that do have tensor-product structure. The scheme applies to domains even with fractal shapes, such as the Mandelbrot set, since such domains are defined precisely by their characteristic function.
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Linear Barycentric Rational Interpolation with Guaranteed Degree of Exactness, the most efficient infinitely smooth interpolants, in particular with equispaced points. In the present contribution, we introduce a new way of obtaining linear barycentric rational interpolants with relatively high orders of convergence. The basic idea is to modify the interpolant with equal weigh
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Flavors of Compressive Sensing, incomplete information about them. Perhaps more importantly, practical procedures to perform the recovery were also provided. These realizations had a tremendous impact in science and engineering. They gave rise to a field called ‘compressive sensing,’ which is now in a mature state and whose found
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