论文标题
非相关性极限中klein-gordon类型的半线性波方程的高阶准确时间积分器
High-order uniformly accurate time integrators for semilinear wave equations of Klein-Gordon type in the non-relativistic limit
论文作者
论文摘要
我们介绍了一个高阶时间半差异的家族，用于klein类型的半线性波方程，具有任意平滑的非线值，在非相关限制中均匀准确，而光的速度转到无限。我们的计划不需要特定于非线性的预计，并且没有步骤大小的限制。取而代之的是，他们依赖于上一篇论文中制定的一般振荡正交规则（Mohamad和Oliver，Arxiv：1909.04616）。
We introduce a family of high-order time semi-discretizations for semilinear wave equations of Klein--Gordon type with arbitrary smooth nonlinerities that are uniformly accurate in the non-relativistic limit where the speed of light goes to infinity. Our schemes do not require pre-computations that are specific to the nonlinearity and have no restrictions in step size. Instead, they rely upon a general oscillatory quadrature rule developed in a previous paper (Mohamad and Oliver, arXiv:1909.04616).
