interpolation

SearchAdvancedHelp

(0.001 seconds)

1—10 of 21 matching pages

1: Bibliography X

… ►

Prolate spheroidal wavefunctions, quadrature and interpolation. Inverse Problems 17 (4), pp. 805–838.

ⓘ

Notes:

Special issue to celebrate Pierre Sabatier’s 65th birthday (Montpellier, 2000)

External Links:

ISSN 0266-5611, Document, MathReview (Thomas Sauer), ZentralBlatt

Referenced by:

§30.13(v).

Encodings:

BibTeX

…

2: 3.3 Interpolation

§3.3 Interpolation

►

§3.3(i) Lagrange Interpolation

… ►

Linear Interpolation

… ►

§3.3(v) Inverse Interpolation

… ►

§3.3(vi) Other Interpolation Methods

…

3: 37.20 Mathematical Applications

… ►For regular domains, such as square, sphere, ball, simplex, and conic domains, they are used to study convolution structure, maximal functions, and interpolation spaces, as well as localized kernel and localized frames. … ►

Numerical Integration and Interpolation

… ►The nodes of these cubature rules are closely related to common zeros of OPs and they are often good points for polynomial interpolation. …

4: Annie A. M. Cuyt

… ►A lot of her research has been devoted to rational approximations, in one as well as in many variables, and sparse interpolation. …

5: 18.40 Methods of Computation

… ►Interpolation of the midpoints of the jumps followed by differentiation with respect to $x$ yields a Stieltjes–Perron inversion to obtain $w^{\mathrm{RCP}}(x)$ to a precision of $\sim 4$ decimal digits for $N=120$. … ►Here $x(t,N)$ is an interpolation of the abscissas $x_{i,N},i=1,2,\mathrm{\dots },N$, that is, $x(i,N)=x_{i,N}$, allowing differentiation by $i$. In what follows this is accomplished in two ways: i) via the Lagrange interpolation of §3.3(i) ; and ii) by constructing a pointwise continued fraction, or PWCF, as follows: …The PWCF $x(t,N)$ is a minimally oscillatory algebraic interpolation of the abscissas $x_{i,N},i=1,2,\mathrm{\dots },N$. ►Comparisons of the precisions of Lagrange and PWCF interpolations to obtain the derivatives, are shown in Figure 18.40.2. …

6: 3.4 Differentiation

… ►The $B_k^n$ are the differentiated Lagrangian interpolation coefficients: ►

3.4.2 $$B_k^n=d{A}_k^n/dt,$$

ⓘ

Defines:

$B_k^n$: differentiated Lagrangian interpolation coefficients (locally)

Symbols:

$\frac{df}{dx}$: derivative of $f$ with respect to $x$ and $A_k^n$: Lagrangian interpolation coefficients

Referenced by:

§3.4(i)

Permalink:

http://dlmf.nist.gov/3.4.E2

Encodings:

pMML, png, TeX

See also:

Annotations for §3.4(i), §3.4 and Ch.3

… ►

3.4.7 $$h{f}_t^{\prime }=\sum _{k=-1}^2{B}_k^3{f}_k+h{R}_{3,t}^{\prime },$$ ,

ⓘ

Symbols:

$B_k^n$: differentiated Lagrangian interpolation coefficients and $R_{n,t}^{\prime }(x)$: remainder

A&S Ref:

25.3.5 (modification of)

Permalink:

http://dlmf.nist.gov/3.4.E7

Encodings:

pMML, png, TeX

See also:

Annotations for §3.4(i), §3.4(i), §3.4 and Ch.3

… ►

3.4.11 $$h{f}_t^{\prime }=\sum _{k=-2}^3{B}_k^5{f}_k+h{R}_{5,t}^{\prime },$$ ,

ⓘ

Symbols:

$B_k^n$: differentiated Lagrangian interpolation coefficients and $R_{n,t}^{\prime }(x)$: remainder

Permalink:

http://dlmf.nist.gov/3.4.E11

Encodings:

pMML, png, TeX

See also:

Annotations for §3.4(i), §3.4(i), §3.4 and Ch.3

… ►

3.4.15 $$h{f}_t^{\prime }=\sum _{k=-3}^4{B}_k^7{f}_k+h{R}_{7,t}^{\prime },$$ ,

ⓘ

Symbols:

$B_k^n$: differentiated Lagrangian interpolation coefficients and $R_{n,t}^{\prime }(x)$: remainder

Permalink:

http://dlmf.nist.gov/3.4.E15

Encodings:

pMML, png, TeX

See also:

Annotations for §3.4(i), §3.4(i), §3.4 and Ch.3

…

7: Philip J. Davis

… ►Davis also co-authored a second Chapter, “Numerical Interpolation, Differentiation, and Integration” with Ivan Polonsky. …

8: 3.8 Nonlinear Equations

… ►

Regula Falsi

… ►Inverse linear interpolation (§3.3(v)) is used to obtain the first approximation: …

9: Bibliography N

… ►

Tables of Lagrangian Interpolation Coefficients. Columbia University Press, New York.

ⓘ

Notes:

Technical Director: Arnold N. Lowan

External Links:

MathReview (W. Feller), ZentralBlatt

Referenced by:

§3.3(ii).

Encodings:

BibTeX

…

10: Bibliography P

… ►

On the maximum errors of polynomial approximations defined by interpolation and by least squares criteria. Comput. J. 9 (4), pp. 404–407.

ⓘ

External Links:

Document, MathReview, ZentralBlatt

Referenced by:

§3.11(ii).

Encodings:

BibTeX

…