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A note on \(C^ 0\) Galerkin methods for two-point boundary problems. (English) Zbl 0462.65053

MSC:
65L10 Numerical solution of boundary value problems involving ordinary differential equations
34B05 Linear boundary value problems for ordinary differential equations
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References:
[1] Abramowitz, A., Stegun, I.: Handbook of mathematical functions. Dover Publications, 1968 · Zbl 0171.38503
[2] Bakker, M.: On the numerical solution of parabolic equations in a single space variable by the continuous time Galerkin method. SIAM J. Num. Anal.17, 161-177 (1980) · Zbl 0438.65094
[3] Ciarlet, P.G., Raviart, P.A.: General Lagrange and Hermite interpolation inR N with applications to finite element methods. Arch. Rational. Mech. Anal.46, 177-199 (1972) · Zbl 0243.41004
[4] Douglas, J. Jr., Dupont, T.: Galerkin approximations for the two-point boundary problem using continuous, piecewise polynomial spaces. Num. Mat.22, 99-109 (1974) · Zbl 0331.65051
[5] Lesaint, P., Zlamal, M.: Superconvergence of the gradient of finite element solutions. R.A.I.R.O.13, 139-166 (1979) · Zbl 0412.65051
[6] Strang, G., Fix, G.J.: An analysis of the finite element method. Englewood Cliffs, New Jersey: Prentice-Hall 1973 · Zbl 0356.65096
[7] Wheeler, M.F.: An optionalL, error estimate for Galerkin approximations to solutions of two-point boundary problems. SIAM J. Num. Anal.10, 914-917 (1973) · Zbl 0266.65061
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