We present a technique for improving the accuracy of a given multistep method. We first propose a new formulation of the θ-method providing a general framework for studying stability and allowing to select the appropriate values of the parameter θ that increase the order of accuracy. The idea is followed through to generate optimal linear multistep methods.
"Improved Accuracy of Linear Multistep Methods,"
Applied Mathematics & Information Sciences: Vol. 07
, Article 8.
Available at: https://dc.naturalspublishing.com/amis/vol07/iss2/8