Jing-Chuang Ren

Stability and Error Estimates for Convolution Quadrature under Radial Symbol Bounds

We develop stability and error estimates for multistep convolution quadrature (CQ) under general radial bounds on the Laplace symbol. Instead of the classical single-power condition $|F(z)|\leq M|z|^{-\mu}$, we assume $|F(z)|\leq C\Phi(|z|)$ and consider two classes of radial functions: monotone bounds satisfying a sca...