In: Computer aided geometric design, 2021, vol. 88, p. 11
Bézier curves are indispensable for geometric modelling and computer graphics. They have numerous favourable properties and provide the user with intuitive tools for editing the shape of a parametric polynomial curve. Even more control and flexibility can be achieved by associating a shape parameter with each control point and considering rational Bézier curves, which comes with the...
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In: Journal of computational physics, 2021, vol. 428, p. 15 p
In this article, we consider fast direct solvers for nonlocal operators. The pivotal idea is to combine a wavelet representation of the system matrix, yielding a quasi- sparse matrix, with the nested dissection ordering scheme. The latter drastically reduces the fill-in during the factorization of the system matrix by means of a Cholesky decomposition or an LU decomposition, respectively. This...
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In: BIT Numerical Mathematics, 2015, vol. 55, no. 3, p. 843-867
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In: Journal of computational and applied mathematics, 2019, vol. 349, p. 292-301
Barycentric rational Floater–Hormann interpolants compare favourably to classical polynomial interpolants in the case of equidistant nodes, because the Lebesgue constant associated with these interpolants grows logarithmically in this setting, in contrast to the exponential growth experienced by polynomials. In the Hermite setting, in which also the first derivatives of the interpolant are...
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In: Algorithmica, 2014, vol. 70, no. 2, p. 326-339
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In: Acta Mathematicae Applicatae Sinica, English Series, 2011, vol. 27, no. 3, p. 353-354
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In: Journal of Theoretical Probability, 2008, vol. 21, no. 3, p. 586-603
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In: Acta Applicandae Mathematica, 2006, vol. 94, no. 3, p. 195-214
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In: Mathematical Methods of Operations Research, 2011, vol. 74, no. 3, p. 327-342
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In: Journal of Theoretical Probability, 1999, vol. 12, no. 2, p. 293-300
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