| 多辛Dirac方程的高阶整体保能量格式 |
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| 引用本文： | 袭春晓,孙建强,孔嘉萌.多辛Dirac方程的高阶整体保能量格式[J].计算数学,2020,42(2):237-245. |
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| 作者姓名： | 袭春晓 孙建强 孔嘉萌 |
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| 作者单位： | 海南大学信息科学技术学院, 海口 570228 |
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| 摘 要： | 基于四阶平均向量场方法和拟谱方法构造了Dirac方程的高阶整体保能量格式，利用构造的高阶整体保能量格式数值模拟方程孤立波的演化行为.数值模拟结果表明构造的高阶整体保能量格式可以很好地模拟Dirac方程孤立波的演化行为，并且可以精确地保持方程的整体能量守恒特性.
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| 关 键 词： | 高阶整体保能量格式 平均向量场方法 Dirac方程 |
| 收稿时间： | 2018-10-15 |
HIGH ORDER GLOBAL ENERGY-PRESERVING SCHEME OF THE DIRAC EQUATION |
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| Xi Chunxiao,Sun Jianqiang,Kong Jiameng.HIGH ORDER GLOBAL ENERGY-PRESERVING SCHEME OF THE DIRAC EQUATION[J].Mathematica Numerica Sinica,2020,42(2):237-245. |
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| Authors: | Xi Chunxiao Sun Jianqiang Kong Jiameng |
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| Institution: | College of Information Science and Technology, Hainan University, Haikou 570228, China |
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| Abstract: | The high order global energy-preserving scheme of the Dirac equation is obtained by the fourth order average vector field method and the Fourier pseudosmethod.The high order global energy-preserving scheme is applied to simulate the evolution behaviors of the equation.Numerical results show that the global energy-preserving scheme can well simulate the wave evolution behaviors of Dirac equation in long time and preserve the global energy conservation. |
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| Keywords: | High order global energy-preserving scheme Average field vector method Dirac equation |
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