ESAIM Mathematical Modelling and Numerical Analysis · 2000 · 58 citations · 5 references
Natural SciencesPhysicsDifferential EquationsConvergence AnalysisNumerical AnalysisNumerical ConvergenceNumerical Methods For Differential EquationsNumerical StabilityPartial Differential EquationsDiscretization Of Partial Differential EquationsElliptic Partial Differential EquationsNonlinear Differential-algebraic EquationsNonlinear Partial Differential EquationsNumerical Analysis Of Partial Differential EquationsNumerical Solutions Of Partial Differential EquationsSpectral Convergence
Hermite polynomial interpolation is investigated. Some approximation results are obtained. As an example, the Burgers equation on the whole line is considered. The stability and the convergence of proposed Hermite pseudospectral scheme are proved strictly. Numerical results are presented.
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