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Volume 7, Issue 2
Exponential Additive Runge-Kutta Methods for Semi-Linear Differential Equations

Jingjun Zhao, Teng Long & Yang Xu

DOI: 10.4208/eajam.190116.141116a

East Asian J. Appl. Math., 7 (2017), pp. 286-305.

Published online: 2018-02

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  • Abstract

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.

  • Keywords

Semi-linear differential equations, exponential Runge-Kutta methods, order conditions, stability.

  • AMS Subject Headings

65L20

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-7-286, author = {Jingjun Zhao, Teng Long and Yang Xu}, title = {Exponential Additive Runge-Kutta Methods for Semi-Linear Differential Equations}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {7}, number = {2}, pages = {286--305}, abstract = {

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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.190116.141116a}, url = {http://global-sci.org/intro/article_detail/eajam/10750.html} }
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.

Jingjun Zhao, Teng Long and Yang Xu. (2018). Exponential Additive Runge-Kutta Methods for Semi-Linear Differential Equations. East Asian Journal on Applied Mathematics. 7 (2). 286-305. doi:10.4208/eajam.190116.141116a
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