About the Project

interpolation

AdvancedHelp

(0.001 seconds)

1—10 of 21 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.
  • 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 RCP ( x ) to a precision of 4 decimal digits for N = 120 . … Here x ( t , N ) is an interpolation of the abscissas x i , N , i = 1 , 2 , , 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 , , 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 / d t ,
    3.4.7 h f t = k = 1 2 B k 3 f k + h R 3 , t , 1 < t < 2 ,
    3.4.11 h f t = k = 2 3 B k 5 f k + h R 5 , t , 2 < t < 3 ,
    3.4.15 h f t = k = 3 4 B k 7 f k + h R 7 , t , 3 < t < 4 ,
    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 interpolation3.3(v)) is used to obtain the first approximation: …
    9: Bibliography N
  • National Bureau of Standards (1944) Tables of Lagrangian Interpolation Coefficients. Columbia University Press, New York.
  • 10: 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.