A formulation consideration for orthogonal collocation proceduresNumerical instabilities often arise in the use of high-ordered collocation approximations for numerically solving parabolic partial differential equations. These problems may be reduced by formulations involving evaluation of collocation polynomials rather than combination of the polynomials into a power series. As an illustration, two formulations using shifted Legendre polynomials of order 26 and less are compared.
Document ID
19760036317
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Lashmet, P. K. (Rensselaer Polytechnic Inst. Troy, NY, United States)
Woodrow, P. T. (Rensselaer Polytechnic Institute, Troy, N.Y., United States)
Date Acquired
August 8, 2013
Publication Date
January 1, 1975
Subject Category
Numerical Analysis
Meeting Information
Meeting: Advances in computer methods for partial differential equations