論文
無段式Runge-Kutta 法の構造保存数値解法としての側面
2018 年 28 巻 3 号 p. 15-22
詳細
2018 年 28 巻 3 号 p. 15-22
Continuous stage Runge-Kutta (CSRK) methods, which were introduced around 2010, are a framework of iterative numerical methods for solving ordinary differential equations. It turned out that some CSRK methods preserve some underlying geometric structures of differential equations, such as symplecticity or energy-preservation of Hamiltonian systems. This paper reviews CSRK methods and their recent developments with emphasis on their structure-preservation properties.
