High-order convergence of spectral deferred correction methods on general quadrature nodes

DOI10.1007/s10915-012-9657-9zbMath1277.65062OpenAlexW2031644642MaRDI QIDQ1955944

Tao Tang, Xiaobo Yin, Hehu Xie

Publication date: 19 June 2013

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

Full work available at URL: https://doi.org/10.1007/s10915-012-9657-9

zbMATH Keywords

numerical examplesRunge-Kutta methodhigh-order convergencespectral deferred correctiongeneral quadrature nodesnon-uniform nodes

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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