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  • Mathematics Subject Classification (1991): 65N35, 65N22, 65F05, 35J05  (1)
  • Projection method  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval (2000)
    Springer
    Numerische Mathematik 86 (2000), S. 635-654 
    Details
    ISSN: 0945-3245
    Keywords: Mathematics Subject Classification (1991): 65N35, 65N22, 65F05, 35J05
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary. A Laguerre-Galerkin method is proposed and analyzed for the Burgers equation and Benjamin-Bona-Mahony (BBM) equation on a semi-infinite interval. By reformulating these equations with suitable functional transforms, it is shown that the Laguerre-Galerkin approximations are convergent on a semi-infinite interval with spectral accuracy. An efficient and accurate algorithm based on the Laguerre-Galerkin approximations to the transformed equations is developed and implemented. Numerical results indicating the high accuracy and effectiveness of this algorithm are presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/PL00005413
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  • 2
    Electronic Resource
    Electronic Resource
    A remark on the projection-3 method (1993)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 16 (1993), S. 249-253 
    Details
    ISSN: 0271-2091
    Keywords: Navier-Stokes equations ; Projection method ; Time discretization ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: We show that the continuous (in time) form of the projection-3 scheme proposed in Reference 2 is not a proper approximation of the unsteady Navier-Stokes equations. Hence, the projection-3 scheme and its variants are not appropriate for the numerical computation of the Navier-Stokes equations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/fld.1650160308
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    Paper (German National Licenses)
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