Abstract
We consider the pseudospectral approximation of third-order problems. The spectral operator is constructed. An eigenvalue analysis with the calculation of the characteristic polynomial is presented. The eigenvalues of the spectral operator are numerically determined. An efficient preconditioner based on finite differences is constructed. Numerical results are presented.
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Heinrichs, W. Spectral Approximation of Third-Order Problems. Journal of Scientific Computing 14, 275–289 (1999). https://doi.org/10.1023/A:1023221619567
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DOI: https://doi.org/10.1023/A:1023221619567