论文标题
通过非线性初始边界价值问题中的显式runge-kutta指数方法避免减少订单
Avoiding order reduction with explicit Runge-Kutta exponential methods in nonlinear initial boundary value problems
论文作者
论文摘要
在本文中，当显式指数runge-kutta方法整合反应 - 扩散问题时，提供了一种恢复该方法的经典顺序的技术。尽管可以构建针对消失边界条件问题的高僵硬秩序的方法，但这可能意味着增加阶段的数量，因此，计算成本似乎比这里建议的技术大，这只是在边界上增加了一些术语。此外，在这里直接解决了与时间有关的边界条件。
In this paper a technique is given to recover the classical order of the method when explicit exponential Runge-Kutta methods integrate reaction-diffusion problems. Although methods of high stiff order for problems with vanishing boundary conditions can be constructed, that may imply increasing the number of stages and therefore, the computational cost seems bigger than the technique which is suggested here, which just adds some terms with information on the boundaries. Moreover, time-dependent boundary conditions are directly tackled here.
