| 交错网格上高斯型格式的逐点收敛阶估计 |
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| 引用本文： | 朱洪强,邱建贤.交错网格上高斯型格式的逐点收敛阶估计[J].南京邮电大学学报(自然科学版),2014(2):127-132. |
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| 作者姓名： | 朱洪强 邱建贤 |
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| 作者单位： | [1] 南京邮电大学理学院,江苏南京210023 [2] 厦门大学数学科学学院,福建厦门361005 |
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| 基金项目： | 国家自然科学青年基金（11201242）、国家自然科学数学天元基金（11126287）和南京邮电大学引进人才科研启动基金（NY211029）资助项目 |
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| 摘 要： | 对一维双曲守恒律方程的一个交错网格上的二阶显式高斯型格式,在CFL条件下证明了其在加权意义下的一阶收敛阶,并给出了逐点误差估计.由于交错网格上的高斯型格式无需求解黎曼问题,因此具有格式简洁、编程简单、计算耗费低等优势.
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| 关 键 词： | 交错网格 差分格式 收敛阶 双曲守恒律 |
Point-wise Convergence Rate for Gauss Scheme with Staggered Grids |
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| ZHU Hong-qiang,QIU Jian-xian.Point-wise Convergence Rate for Gauss Scheme with Staggered Grids[J].Journal of Nanjing University of Posts and Telecommunications,2014(2):127-132. |
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| Authors: | ZHU Hong-qiang QIU Jian-xian |
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| Institution: | 1 College of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China School of Mathematical Sciences, Xiamen University, Xiamen 361005, China |
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| Abstract: | A second order explicit Gauss scheme with staggered grids for one-dimensional hyperbolic con- servation laws is proved to be convergent under the restriction of CFL condition. The convergence rate is proved to be first order and a point-wise error bound is presented. The scheme is simpler, easier to be co- ded and low computational cost since no Riemann problem is solved. |
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| Keywords: | staggered grids difference scheme convergence rate conservation law |
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