Accession Number:

ADA295013

Title:

Spectral Methods on Arbitrary Grids.

Descriptive Note:

Contractor rept.,

Corporate Author:

INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA

Personal Author(s):

• Carpenter, Mark H.
• Gottlieb, David

Report Date:

1995-05-01

Pagination or Media Count:

30.0

Abstract:

Stable and spectrally accurate numerical methods are constructed on arbitrary grids for partial differential equations. These new methods are equivalent to conventional spectral methods but do not rely on specific grid distributions. Specifically we show how to implement Legendre Galerkin, Legendre collocation and Laguerre Galerkin methodology on arbitrary grids. AN

Descriptors:

• *MATHEMATICAL MODELS
• *GRIDS
• *NUMERICAL METHODS AND PROCEDURES
• STABILITY
• MATRICES(MATHEMATICS)
• ACCURACY
• POLYNOMIALS
• INTERPOLATION
• PARTIAL DIFFERENTIAL EQUATIONS
• CONVERGENCE
• CHEBYSHEV APPROXIMATIONS
• LAGRANGIAN FUNCTIONS
• LEGENDRE FUNCTIONS
• NUMERICAL QUADRATURE
• LAGUERRE FUNCTIONS

Subject Categories:

• Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE