论文标题
$ C_0 $ -Semigroups中的Runge-kutta近似图形规范中的应用程序域边界积分方程
Runge-Kutta approximation for $C_0$-semigroups in the graph norm with applications to time domain boundary integral equations
论文作者
论文摘要
我们考虑使用$ a $ a-stable runge-kutta方法对抽象进化问题的近似值。我们在基础Banach空间以外的规范中得出了先验估计。最值得注意的是，我们在发电机的图形标准中得出估计。这些结果用于研究基于卷积正交的波浪散射和热传导问题的离散。
We consider the approximation to an abstract evolution problem with inhomogeneous side constraint using $A$-stable Runge-Kutta methods. We derive a priori estimates in norms other than the underlying Banach space. Most notably, we derive estimates in the graph norm of the generator. These results are used to study convolution quadrature based discretizations of a wave scattering and a heat conduction problem.
