Precise calculation of numerical derivatives using Lagrange and Hermite interpolation
نویسندگان
چکیده
منابع مشابه
On an Interpolation Process of Lagrange–hermite Type
Abstract. We consider a Lagrange–Hermite polynomial, interpolating a function at the Jacobi zeros and, with its first (r−1) derivatives, at the points ±1. We give necessary and sufficient conditions on the weights for the uniform boundedness of the related operator in certain suitable weighted L-spaces, 1 < p < ∞, proving a Marcinkiewicz inequality involving the derivative of the polynomial at ...
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The Lagrange representation of the interpolating polynomial can be rewritten in two more computationally attractive forms: a modified Lagrange form and a barycentric form. We give an error analysis of the evaluation of the interpolating polynomial using these two forms. The modified Lagrange formula is shown to be backward stable. The barycentric formula has a less favourable error analysis, bu...
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Initially, the first aim of the present study is to model 3-axle rigid truck by developing a code in Matlab. Secondly, each equation should be drived by acquisition of Lagrange approach. After deriving equations successfully, validation is performed by some result which was mentioned in Bohao Li's master thesis. Although the present approach is totally different from the approach that Boahao Li...
متن کاملNumerical Approach Toward Calculation of Vibration Characteristics of the Multi Axles Truck Using Lagrange Method
Initially, the first aim of the present study is to model 3-axle rigid truck by developing a code in Matlab. Secondly, each equation should be drived by acquisition of Lagrange approach. After deriving equations successfully, validation is performed by some result which was mentioned in Bohao Li's master thesis. Although the present approach is totally different from the approach that Boahao Li...
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We derive the generalized Hermite interpolation by using the contour integral and extend the generalized Hermite interpolation to obtain the sampling expansion involving derivatives for band-limited functions f , that is, f is an entire function satisfying the following growth condition |f(z)| ≤ A exp(σ|y|) for some A, σ > 0 and any z = x + iy ∈ C.
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 1990
ISSN: 0898-1221
DOI: 10.1016/0898-1221(90)90096-3