RT info:eu-repo/semantics/article
T1 A high-order fully discrete scheme for the Korteweg–de Vries equation with a time-stepping procedure of Runge–Kutta-composition type
A1 Dougalis, Vassilios A
A1 Durán Martín, Ángel
K1 Korteweg–de Vries equation
K1 spectral method
K1 Runge–Kutta composition methods
K1 error estimates
AB We consider the periodic initial-value problem for the Korteweg–de Vries equation that we discretize in space by a spectral Fourier–Galerkin method and in time by an implicit, high-order, Runge–Kutta scheme of composition type based on the implicit midpoint rule. We prove L2 error estimates for the resulting semidiscrete and the fully discrete approximations. Some numerical experiments illustrate the results.
PB Oxford University Press
SN 0272-4979
YR 2022
FD 2022
LK https://uvadoc.uva.es/handle/10324/62420
UL https://uvadoc.uva.es/handle/10324/62420
LA eng
NO IMA Journal of Numerical Analysis, 2022, 42 (4), pp. 3022 - 3057
NO Producción Científica
DS UVaDOC
RD 22-nov-2024