Asymptotic Behavior of the Polynomial Factor in the Interpolation Error.

Mu Dingyi

Displaying similar documents to “Asymptotic Behavior of the Polynomial Factor in the Interpolation Error.”

The Error in Polynomial Interpolation.

CHR.T.H. BAKER (1970)

Numerische Mathematik

Similarity:

Asymptotic formulas for the error in linear interpolation

M. Beśka, K. Dziedziul (2005)

Banach Center Publications

Similarity:

We give the asymptotic formula for the error in linear interpolation with arbitrary knots.

Asymptotic Bounds on the Errors of One-Step Methods.

L.F. Shampine (1984)

Numerische Mathematik

Similarity:

Asymptotic Expansions of the Global Error of Fixed-Stepsize Methods.

E. Hairer, C. Lubich (1984)

Numerische Mathematik

Similarity:

On the interpolation constants over triangular elements

Kobayashi, Kenta

Similarity:

We propose a simple method to obtain sharp upper bounds for the interpolation error constants over the given triangular elements. These constants are important for analysis of interpolation error and especially for the error analysis in the Finite Element Method. In our method, interpolation constants are bounded by the product of the solution of corresponding finite dimensional eigenvalue problems and constant which is slightly larger than one. Guaranteed upper bounds for these constants...