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References
J.H. Bramble and S.R. Hilbert, Estimation of linear functionals on Sobolev spaces with application to Fourier transforms and spline interpolation. SIAM J. Numer. Anal. 7(1970), 112–124.
Ph. Brenner and V. Thomée, Stability and convergence rates in Lp for certain difference schemes. Math. Scand. 27(1970), 5–23.
J. Douglas, Jr. and T. Dupont, Galerkin methods for parabolic equations. SIAM J. Numer. Anal. 7(1970), 575–626.
T. Dupont, Galerkin methods for first order hyperbolics: an example. SIAM J. Numer. Anal. (to appear).
G. Fix and N. Nassif, On finite element approximations to time dependent problems. Numer. Math. 19(1972), 127–135.
H.S. Price and R.S. Varga, Error bounds for semi-discrete Galerkin approximations of parabolic problems with application to petroleum reservoir mechanics. Numerical Solution of Field Problems in Continuum Physics. AMS Providence R.I., 1970, 74–94.
I.J. Schoenberg, Contributions to the problem of approximation of equidistant data by analytic functions, A and B. Quart. Appl. Math. 4(1946), 45–99, 112–141.
I.J. Schoenberg, Cardinal interpolation and spline functions. J. Approximation Theory 2(1969), 335–374.
I.J. Schoenberg, Cardinal interpolation and spline functions II. Interpolation of data of power growth. J. Approximation Theory. (to appear).
G. Strang and G. Fix, A Fourier analysis of the finite element variational method. Mimeographed notes.
B. Swartz and B. Wendroff, Generalized finite difference schemes, Math. Comp. 23(1969), 37–50.
V. Thomée, Spline approximation and difference schemes for the heat equation. (to appear).
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Thomée, V. (1973). Convergence estimates for semi-discrete galerkin methods for initial-value problems. In: Ansorge, R., Törnig, W. (eds) Numerische, insbesondere approximationstheoretische Behandlung von Funktionalgleichungen. Lecture Notes in Mathematics, vol 333. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060701
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DOI: https://doi.org/10.1007/BFb0060701
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