Solving time-dependent PDEs with the ultraspherical spectral method

DOI10.1007/s10915-023-02287-2arXiv2306.12617MaRDI QIDQ6111662

Lu Cheng, Kuan Xu

Publication date: 4 August 2023

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.12617

zbMATH Keywords

Chebyshev polynomialsspectral methodultraspherical polynomialstime-dependent PDEs

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for stiff equations (65L04)

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