SIAM Journal on Numerical Analysis · 1983 · 111 citations · 2 references
Natural SciencesComputational EngineeringComputational Heat TransferDifferential EquationsHeat TransferBoundary ConditionsEigenvalue ProblemsOperator TheoryPartial Differential EquationsSpectral AnalysisSpectral TheoryBoundary Value Eigenvalue ProblemsChebyshev PolynomialsEigenfunction ExpansionsInitial Boundary ConditionsParabolic Partial Differential EquationsSpectral Approximation
It is shown that the eigenvalues of the pseudospectral Chebyshev second derivative operator with separated boundary conditions are real, negative and distinct. An application to the full potential equation is also presented.
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Spectral methods for problems in complex geometries
Steven A. Orszag · Journal of Computational Physics · 1980 · 673 citations