Fast Solvers of Generalized Airfoil Equation of Index –1
نویسنده
چکیده
We consider the generalized airfoil equation in the situation where the index of the problem is −1. We periodize the problem, then discretize it by a fully discrete version of the trigonometric collocation method and apply the conjugate gradient method to solve the discretized problem. The approximate solution appears to be of optimal accuracy in a scale of Sobolev norms, and the N parameters of the approximate solution can be determined by O(N logN) arithmetical operations.
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