๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Asymptotically optimal approximation in fractional Sobolev spaces and the numerical solution of differential equations

โœ Scribed by C. A. Micchelli; W. L. Miranker


Publisher
Springer-Verlag
Year
1974
Tongue
English
Weight
505 KB
Volume
22
Category
Article
ISSN
0029-599X

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Best approximation and numerical methods
โœ E.G. Litinsky ๐Ÿ“‚ Article ๐Ÿ“… 1978 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 210 KB

Let Q(x) be polynomial of degree q interpolating x m at the points x-i, i = 0, 1, ..., q, where xi are zeros of the Tchebysheff polynomial of degree q + 1 on the interval [0, 1]. If q is of order x/m, then Q(x) approximates x m well enough. This result is used to obtain a good approximation to the s

Explicit and approximate solutions of se
โœ Ivan P. Gavrilyuk; Vladimir L. Makarov ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 344 KB ๐Ÿ‘ 1 views

The explicit closed-form solutions for a second-order differential equation with a constant self-adjoint positive definite operator coefficient A (the hyperbolic case) and for the abstract Euler-Poisson-Darboux equation in a Hilbert space are presented. On the basis of these representations, we prop