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An hp-Version Jacobi Spectral Collocation Method for the Third-Kind VIEs

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Abstract

In this paper, we present an hp-version Jacobi spectral collocation method for the third-kind VIEs. We establish several new approximation results of the Jacobi polynomial interpolations. In addition, we also derive the convergence of the hp-version of Jacobi spectral collocation method under the \(L^{\infty }\)-norm. Numerical experiments confirm the theoretical expectations.

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Acknowledgements

The work was supported by National Natural Science Foundation of China (Grant No. 12071294) and China Postdoctoral Science Foundation (Grant No. 2020M681345).

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Correspondence to Yuling Guo.

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Wang, Z., Zhou, M. & Guo, Y. An hp-Version Jacobi Spectral Collocation Method for the Third-Kind VIEs. J Sci Comput 87, 19 (2021). https://doi.org/10.1007/s10915-021-01426-x

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  • DOI: https://doi.org/10.1007/s10915-021-01426-x

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