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Symmetric Orthogonal Polynomials

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GCS - Geometry, compatibility and structure preservation in computational differential equations

In this talk I will discuss symmetric orthogonal polynomials on the real line. Such polynomials give rise to orthogonal systems which have important applications in spectral methods, with several important advantages if their differentiation matrix is skew-symmetric and highly structured. Such orthogonal systems, where the differentiation matrix is skew-symmetric, tridiagonal and irreducible, have recently been studied by Iserles and Webb. The symmetric orthogonal polynomials studied will include generalisations of the classical Hermite weight and generalisations of the Freud weight.

This talk is part of the Isaac Newton Institute Seminar Series series.

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