A posteriori error estimation for the spectral deferred correction method

Abstract The spectral deferred correction method is a variant of the for solving ordinary differential equations. A benefit this that uses low order schemes iteratively to produce high approximation. In paper we consider adjoint-based posteriori analysis estimate error in quantity interest solution. This formula derived by first developing nodally equivalent finite element method. then split into various terms, each which characterizes different component error. These components may be used determine optimal strategy changing parameters best improve