摘要
TVD、TVB及ENO格式问世以来得到了广泛的应用[1,2,3],目前求解双曲线型守恒律方程的构造高阶精度无振荡差分格式的途径正方兴未艾。本文根据[1]的思想,给出一种求解Hamilton-Jacobi方程的Runge-Kutta型TVB时间离散方法,并在理论上证明了如此构造的格式在保持TVB性质下应满足的条件。
TVD.TVB and ENO schemes have widely used since they appeared ten years about.More and more high-order essentially nonosillatory schemes for Hyperbolic Conservation Laws are appear nowday. In this paper, a class of Runge-Kutta Type TVB time discretizations method for H-J eqUations are investigated. The method was proved theoretically TVB properties.
出处
《哈尔滨师范大学自然科学学报》
CAS
1997年第4期4-8,共5页
Natural Science Journal of Harbin Normal University
基金
黑龙江省自然科学基金