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Please note that all times are shown in the time zone of the conference. The current conference time is: 28th Nov 2022, 07:55:44pm CET

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Session Overview
plenary 2: Chuanju Xu
Monday, 12/July/2021:
12:50pm - 1:40pm

Session Chair: Daniele Funaro
Virtual location: Zoom 1

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Extended Spectral Methods for Some Types of Equations

Chuanju Xu

Xiamen University, China, People's Republic of

In this talk I will present extended spectral methods for some classes of equations, making use of fractional polynomials, also known as Muntz polynomials, for approximating solutions having low regularity. Basic approximation properties of the Muntz polynomials, including error estimates for the weighted projection and interpolation operators, are discussed. We will show how to construct and analyze efficient X-spectral methods based on the Muntz polynomial approximation. The potential application of the new methods covers a number of well-known problems, including classical elliptic equations having corner singularities, integro-differential equations with weakly singular kernels, fractional differential equations, and so on.

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