# Nystr\"om methods for high-order CQ solutions of the wave equation in two dimensions

@inproceedings{Petropoulos2021NystromMF, title={Nystr\"om methods for high-order CQ solutions of the wave equation in two dimensions}, author={Peter P. Petropoulos and Catalin Turc and Erli Wind-andersen}, year={2021} }

We investigate high-order Convolution Quadratures methods for the solution of the wave equation in unbounded domains in two dimensions that rely on Nyström discretizations for the solution of the ensemble of associated Laplace domain modified Helmholtz problems. We consider two classes of CQ discretizations, one based on linear multistep methods and the other based on Runge-Kutta methods, in conjunction with Nyström discretizations based on Alpert and QBX quadratures of Boundary Integral…

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