@techreport{oai:kyutech.repo.nii.ac.jp:00004049, author = {Komori, Yoshio and 小守, 良雄 and Buckwar, Evelyn}, month = {Nov}, note = {Our aim is to show that the embedding of deterministic Runge-Kutta methods with higher order than necessary order to achieve a weak order can enrich the properties of stochastic Runge-Kutta methods with respect to not only practical errors but also stability. This will be done through the comparisons between our new schemes and an efficient weak second order scheme with minimized error constant proposed by Debrabant and Robler (2009)., [Remark] The material in this report has been superseded by the following paper: Y. Komori and K. Buckwar (2013),Stochastic Runge-Kutta methods with deterministic high order for ordinary differential equations,BIT Numerical Mathematics, 53(3), 617-639.}, title = {Stochastic Runge-Kutta Methods with Deterministic High Order for Ordinary Differential Equations}, year = {2011}, yomi = {コモリ, ヨシオ} }