Mathematics of Computation · 2003 · 31 citations · 15 references
ComputingComputational EngineeringComputational Fluid DynamicsFluid DynamicsConvergence AnalysisNumerical ConvergenceNumerical Methods For Differential EquationsSpectral MethodsHigh-order Numerical SchemesIncompressible Flow ModelingLegendre PolynomialsSpectral Stability Analysis
In this paper, we investigate the mixed Laguerre-Legendre interpolation approximation and its application. Some approximation results are established. A mixed Laguerre-Legendre pseudospectral scheme is constructed for incompressible fluid flow in an infinite strip. Its stability and convergence are proved. Numerical results show the efficiency of this new approach.
15
Methods of Numerical Integration.
F. S., Philip J. Davis, Philip Rabinowitz · Mathematics of Computation · 1986 · 2.8K citations