Exponential additive Runge-Kutta methods for semi-linear differential equations

Jingjun Zhao; Teng Long; Yang Xu

doi:10.4208/eajam.190116.141116aS2079736217000190

Exponential additive Runge-Kutta methods for semi-linear differential equations

Jingjun Zhao
, Teng Long
, Yang Xu^*

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	286-305
Number of pages	20
Journal	East Asian Journal on Applied Mathematics
Volume	7
Issue number	2
DOIs	https://doi.org/10.4208/eajam.190116.141116aS2079736217000190
State	Published - 1 May 2017

Keywords

Exponential Runge-Kutta methods
Order conditions
Semi-linear differential equations
Stability

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10.4208/eajam.190116.141116aS2079736217000190

Cite this

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title = "Exponential additive Runge-Kutta methods for semi-linear differential equations",

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 = "Exponential Runge-Kutta methods, Order conditions, Semi-linear differential equations, Stability",

author = "Jingjun Zhao and Teng Long and Yang Xu",

note = "Publisher Copyright: {\textcopyright} Global-Science Press 2017.",

year = "2017",

month = may,

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doi = "10.4208/eajam.190116.141116aS2079736217000190",

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T1 - Exponential additive Runge-Kutta methods for semi-linear differential equations

AU - Zhao, Jingjun

AU - Long, Teng

AU - Xu, Yang

N1 - Publisher Copyright: © Global-Science Press 2017.

PY - 2017/5/1

Y1 - 2017/5/1

N2 - 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.

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.

KW - Exponential Runge-Kutta methods

KW - Order conditions

KW - Semi-linear differential equations

KW - Stability

UR - https://www.scopus.com/pages/publications/85018743119

U2 - 10.4208/eajam.190116.141116aS2079736217000190

DO - 10.4208/eajam.190116.141116aS2079736217000190

M3 - 文章

AN - SCOPUS:85018743119

SN - 2079-7362

VL - 7

SP - 286

EP - 305

JO - East Asian Journal on Applied Mathematics

JF - East Asian Journal on Applied Mathematics

IS - 2

ER -

Exponential additive Runge-Kutta methods for semi-linear differential equations

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Keywords

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