High-order convergence of spectral deferred correction methods on general quadrature nodes
This paper shows how to modify the spectral deferred correction method such that when applied to ordinary differential equations via the equivalent integral operator with higher-order Runge-Kutta methods high-order convergence rates are attained. This is demonstrated for both uniform and non-uniform quadrature nodes. This is confirmed by two numerical tests on simple scalar problems.
scientific article; zbMATH DE number 6176982
scientific article