Stability of Ritz Procedure for Nonlinear Two-Point Boundary Value Problem.
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Alexandru I. Schiop (1972/1973)
Numerische Mathematik
R.S. Anderssen, B.J. Omodei (1975)
Numerische Mathematik
Wilhelm Heinrichs (1992)
Applications of Mathematics
Strong convergence estimates for pseudospectral methods applied to ordinary boundary value problems are derived. The results are also used for a convergence analysis of the Schwarz algorithm (a special domain decomposition technique). Different types of nodes (Chebyshev, Legendre nodes) are examined and compared.
Katarina Surla, Zorica Uzelac (1988)
Publications de l'Institut Mathématique
Todd Dupont, Jim Jr. Douglas (1973)
Numerische Mathematik
Teresa Regińska (1987)
Aplikace matematiky
The superconvergence property of a certain external method for solving two point boundary value problems is established. In the case when piecewise polynomial spaces are applied, it is proved that the convergence rate of the approximate solution at the knot points can exceed the global one.
Pierre Lesaint, Milos Zlamal (1979)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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