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A GENERALIZED GAUSS-TYPE QUADRATURE FORMULA AND ITS APPLICATIONS TO PSEUDOSPECTRAL METHOD

王立联、Guo Yu、王中庆

2002高等学校计算数学学报：英文版Mathematics被引 1

摘要

A generalized Gauss-type quadrature formula is introduced, which assists in selectionof collocation points in pseudospectral method for differential equations with two-point deriva-tive boundary conditions. Some results on the related Jacobi interpolation are established. A pseu-dospectral scheme is proposed for the Kuramoto-Sivashisky equation. A skew symmetric decompo-sition is used for dealing with the nonlinear convection term. The stability and convergence of theproposed scheme are proved. The error estimates are obtained. Numerical results show the effi-ciency of this approach.

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