对称Keyfitz-Kranzer系统的有限差分格式
Finite difference schemes for the symmetric Keyfitz-Kranzer system
AI总结：
针对Keyfitz-Kranzer系统初值问题，提出并证明了三种差分格式的收敛性，其中两种收敛到唯一熵解，并通过算例验证。
摘要：
我们关注与Keyfitz-Kranzer方程组相关的初值问题的数值格式的收敛性。该系统是弹性理论、磁流体动力学和强化采油等多个重要模型的玩具模型。本文证明了三种差分格式的收敛性。其中两种格式被证明收敛到唯一熵解。最后，通过几个算例说明了收敛性。
英文摘要：
We are concerned with the convergence of numerical schemes for the initial value problem associated to the Keyfitz-Kranzer system of equations. This system is a toy model for several important models such as in elasticity theory, magnetohydrodynamics, and enhanced oil recovery. In this paper we prove the convergence of three difference schemes. Two of these schemes is shown to converge to the unique entropy solution. Finally, the convergence is illustrated by several examples.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
