TY - JOUR T1 - Exponential Additive Runge-Kutta Methods for Semi-Linear Differential Equations AU - Jingjun Zhao, Teng Long & Yang Xu JO - East Asian Journal on Applied Mathematics VL - 2 SP - 286 EP - 305 PY - 2018 DA - 2018/02 SN - 7 DO - http://doi.org/10.4208/eajam.190116.141116a UR - https://global-sci.org/intro/article_detail/eajam/10750.html KW - Semi-linear differential equations, exponential Runge-Kutta methods, order conditions, stability. AB -

Exponential additive Runge-Kutta methods for solving semi-linear equations are discussed. Related order conditions and stability properties for both explicit and implicit schemes are developed, according to the dimension of the coefficients in the linear terms. Several examples illustrate our theoretical results.