The linear rational collocation method

Richard Baltensperger; Jean-Paul Berrut

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The linear rational collocation method

机译：线性有理搭配法

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摘要

We introduce the collocation method based on linear rational interpolation for solving general hyperbolic problems, prove its stability and its convergence in weighted norms and give numerical examples for its use.

机译：我们介绍了基于线性有理插值的搭配方法来解决一般的双曲问题，证明了它的稳定性和在加权范数中的收敛性，并给出了使用实例。

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《Journal of Computational and Applied Mathematics》 |2001年第2期|共16页
作者
Richard Baltensperger; Jean-Paul Berrut;
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正文语种 eng
中图分类应用数学;
关键词
linear rational interpolation; time evolution partial differential equations; spectral method; conformal point shifts;

机译：线性有理插值;时间演化偏微分方程;谱方法;保形点移位;

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4. Non-linear control of water flow dynamics by input-output linearization based on a collocation method model [C] . Dulhoste Jean-Francois, Besancon Gildas, Georges Didier European Control Conference . 2001

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5. Computing Rovibrational Spectra of Small Polyatomic Molecules with Variational and Collocation Methods [D] . Simmons, Jesse. 2019

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6. A Bivariate Chebyshev Spectral Collocation Quasilinearization Method for Nonlinear Evolution Parabolic Equations [O] . S. S. Motsa, V. M. Magagula, P. Sibanda -1

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7. Solution of nonlinear Volterra–Fredholm–Hammerstein integral equations via a collocation method and rationalized Haar functions [O] . Ordokhani Y., Razzaghi M. 2008

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8. Numerical Solution of Nonlinear Volterra Integral Equations of the Second Kind by Collocation and Iterated Collocation Methods [R] . Blom, J. G., Brunner, H. 1985

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The linear rational collocation method

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