TY - JOUR
T1 - Exponential Additive Runge-Kutta Methods for Semi-Linear Differential Equations
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 - <p style="text-align: justify;">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.</p>