论文标题
隐式和半平均均衡的有限体积方法，用于平衡法的系统
Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws
论文作者
论文摘要
这项工作的目的是为1D平衡法制度设计隐式和半度的高阶高平衡数量数值方法。已经应用了两位作者在先前的论文中引入的策略，该策略已根据均衡的重建操作员的应用，以实现明确方案。当使用正交公式来近似单元中源项的平均值和积分时，可以保留均衡的属性。关于时间的演变，该技术与类型RK-imx或rk-Implicit类型的时间离散化方法相结合。该方法将应用于几种平衡法系统。
The aim of this work is to design implicit and semi-implicit high-order well-balanced finite-volume numerical methods for 1D systems of balance laws. The strategy introduced by two of the authors in a previous paper for explicit schemes based on the application of a well-balanced reconstruction operator has been applied. The well-balanced property is preserved when quadrature formulas are used to approximate the averages and the integral of the source term in the cells. Concerning the time evolution, this technique is combined with a time discretization method of type RK-IMEX or RK-implicit. The methodology will be applied to several systems of balance laws.
