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Dissipativity of multistep runge-kutta methods for nonlinear volterra delay-integro-differential equations |
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| Authors: | Rui Qi Cheng-jian Zhang Yu-jie Zhang |
| Institution: | 1 School of Science,Naval University of Engineering,Wuhan 430033,China 2 School of Mathematics and Statistics,Huazhong University of Science and Technology,Wuhan 430074,China3 School of Mathematics and Physics,China University of Geosciences,Wuhan 430074,China |
| Abstract: | This paper is concerned with the numerical dissipativity of multistep Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations. We investigate the dissipativity properties of (k, l)-algebraically stable multistep Runge-Kutta methods with constrained grid and an uniform grid. The finitedimensional and infinite-dimensional dissipativity results of (k, l)-algebraically stable Runge-Kutta methods are obtained. |
| Keywords: | Volterra delay-integro-differential equations multistep Runge-Kutta methods dissipativity (k l) algebraically stable |
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