Micchelli, C. A.; Miranker, W. L. Asymptotically optimal approximation in fractional Sobolev spaces and the numerical solution of differential equations. (English) Zbl 0303.65082 Numer. Math. 22, 75-87 (1974). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 Documents MSC: 65M15 Error bounds for initial value and initial-boundary value problems involving PDEs PDFBibTeX XMLCite \textit{C. A. Micchelli} and \textit{W. L. Miranker}, Numer. Math. 22, 75--87 (1974; Zbl 0303.65082) Full Text: DOI EuDML References: [1] Aubin, J. P.: Interpolation et approximation optimales et ?Spline Functions?. J. Math. Anal. and Appl.24, 1-24 (1968) · Zbl 0188.43702 [2] Babuska, I., Prager, M., Vitasek, E.: Numerical processes in differential equations. New York: Interscience Publishers 1966 [3] Golomb, M., Weinberger, H. F.: Optimal approximation and error bounds. On Numerical approximation (ed., R. E. Langer). Madison: University of Wisconsin Press 1959 · Zbl 0092.05802 [4] Micchelli, C. A., Miranker, W. L.: Optimal difference schemes for linear initial value problems. SIAM J. Numer. Anal.10, 983-1009 (1973) · Zbl 0268.65053 [5] Miranker, W. L.: Difference schemes with best possible truncation error. Numer. Math.7, 124-142 (1971) · Zbl 0223.65052 [6] Miranker, W. L.: Galerkin approximations and the optimization of difference schemes for boundary value problems. SIAM Numer. Anal.8, 486-496 (1971) · Zbl 0221.65171 [7] Strang, G.: Trigonometric polynomials and difference methods of maximum accuracy. J. Math. and Phys.41, 147-354 (1962) · Zbl 0111.31601 [8] Weinberger, H. F.: On optimal numerical solution of partial differential equations. SIAM J. Numer. Anal.9, 182-198 (1972) · Zbl 0271.65055 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.