What is it about?
The work reported in this article presents a high-order, stable, and efficient numerical method to solve numerically a wide variety of mathematical models.
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Why is it important?
The method employs the state of the art optimal numerical quadratures based on the stable barycentric representation of Lagrange interpolating polynomials and the numerically stable barycentric weights formula. The presented algorithms and numerical scheme provide easy yet strong numerical tools, which can be effectively carried out for the solution of a wide variety of problems.
Perspectives
I think the current work will have a strong echo in the community of applied and computational mathematicians.
Dr Kareem T Elgindy
Assiut University
Read the Original
This page is a summary of: High-order, stable, and efficient pseudospectral method using barycentric Gegenbauer quadratures, Applied Numerical Mathematics, March 2017, Elsevier,
DOI: 10.1016/j.apnum.2016.10.014.
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