抄録
In this study, we propose a numerical method for evaluating the frequency derivative of solutions to an exterior acoustic problem with a Dirichlet boundary condition. The proposed method is based on a spectral Nyström discretization with trapezoidal and Kussmaul–Martensen quadrature rules, which allows us to achieve a superalgebraic convergence rate for analytic data. We present some numerical examples to verify the proposed scheme, especially demonstrating that it archives the spectral accuracy also for the frequency derivative.