Regularity properties of a class of hybrid methods |
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| Authors: | Daxue CHEN and Aiguo XIAO |
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| Affiliation: | Daxue CHEN and Aiguo XIAO Department of Basic Sciences,Xiangtan College of Mechanical and Electrical Engineering,Xiangtan411101,China Department of Mathematics,Xiangtan University,Xiangtan 411105,China, e-mail: xiaoag@xtu. edu. cn,xag@lsec. cc. ac |
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| Abstract: | The existence of spurious steady solutions and period-2 solutions in constant timestep is studied. The concepts of R[1]-regularity and R[2]-regularity of a class of hybrid methods for dynamical systems of ordinary differential equations are introduced and studied. Some conditions guaranteeing R~[1]-regularity and R~[2]-regularity of such methods applied to dynamical systems of ordinary differential equations with some important structures are given. |
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| Keywords: | hybrid method dynamical system regularity spurious solution |
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