interpolation

(0.000 seconds)

1—10 of 19 matching pages

1: Bibliography X
• H. Xiao, V. Rokhlin, and N. Yarvin (2001) Prolate spheroidal wavefunctions, quadrature and interpolation. Inverse Problems 17 (4), pp. 805–838.
3: 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. …
4: 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 $x_{i,N},i=1,2,\dots,N$, 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 $x_{i,N},i=1,2,\dots,N$. Comparisons of the precisions of Lagrange and PWCF interpolations to obtain the derivatives, are shown in Figure 18.40.2. …
5: 3.4 Differentiation
The $B_{k}^{n}$ are the differentiated Lagrangian interpolation coefficients:
3.4.2 $B_{k}^{n}=\ifrac{\mathrm{d}A_{k}^{n}}{\mathrm{d}t},$
3.4.7 $hf^{\prime}_{t}=\sum_{k=-1}^{2}B_{k}^{3}f_{k}+hR^{\prime}_{3,t},$ $-1,
3.4.11 $hf^{\prime}_{t}=\sum_{k=-2}^{3}B_{k}^{5}f_{k}+hR^{\prime}_{5,t},$ $-2,
3.4.15 $hf^{\prime}_{t}=\sum_{k=-3}^{4}B_{k}^{7}f_{k}+hR^{\prime}_{7,t},$ $-3,
6: Philip J. Davis
Davis also co-authored a second Chapter, “Numerical Interpolation, Differentiation, and Integration” with Ivan Polonsky. …
7: 3.8 Nonlinear Equations
Regula Falsi
Inverse linear interpolation3.3(v)) is used to obtain the first approximation: …
8: Bibliography N
• National Bureau of Standards (1944) Tables of Lagrangian Interpolation Coefficients. Columbia University Press, New York.
• 9: Bibliography P
• M. J. D. Powell (1967) On the maximum errors of polynomial approximations defined by interpolation and by least squares criteria. Comput. J. 9 (4), pp. 404–407.
• 10: Bibliography T
• L. N. Trefethen (2011) Six myths of polynomial interpolation and quadrature. Math. Today (Southend-on-Sea) 47 (4), pp. 184–188.