# NAG Library Chapter Contents

## E01 (interp)Interpolation

E01 (interp) Chapter Introduction – a description of the Chapter and an overview of the algorithms available

 RoutineName Mark ofIntroduction Purpose e01aaf Example Text Example Data 1 nagf_interp_1d_aitken Interpolated values, Aitken's technique, unequally spaced data, one variable e01abf Example Text Example Data 1 nagf_interp_1d_everett Interpolated values, Everett's formula, equally spaced data, one variable e01aef Example Text Example Data 8 nagf_interp_1d_cheb Interpolating functions, polynomial interpolant, data may include derivative values, one variable e01baf Example Text 8 nagf_interp_1d_spline Interpolating functions, cubic spline interpolant, one variable e01bef Example Text Example Data 13 nagf_interp_1d_monotonic Interpolating functions, monotonicity-preserving, piecewise cubic Hermite, one variable e01bff Example Text Example Data 13 nagf_interp_1d_monotonic_eval Interpolated values, interpolant computed by e01bef, function only, one variable e01bgf Example Text Example DataExample Plot 13 nagf_interp_1d_monotonic_deriv Interpolated values, interpolant computed by e01bef, function and first derivative, one variable e01bhf Example Text Example Data 13 nagf_interp_1d_monotonic_intg Interpolated values, interpolant computed by e01bef, definite integral, one variable e01daf Example Text Example Data 14 nagf_interp_2d_spline_grid Interpolating functions, fitting bicubic spline, data on rectangular grid e01eaf Example Text Example DataExample Plot 25 nagf_interp_2d_triangulate Triangulation of two-dimensional scattered grid, method of Renka and Cline e01ebf 25 nagf_interp_2d_triang_bary_eval Barycentric interpolation on function values provided on a two-dimensional scattered grid e01raf Example Text Example Data 9 nagf_interp_1d_ratnl Interpolating functions, rational interpolant, one variable e01rbf Example Text Example Data 9 nagf_interp_1d_ratnl_eval Interpolated values, evaluate rational interpolant computed by e01raf, one variable e01saf Example Text Example Data 13 nagf_interp_2d_scat Interpolating functions, method of Renka and Cline, two variables e01sbf 13 nagf_interp_2d_scat_eval Interpolated values, evaluate interpolant computed by e01saf, two variables e01sgf Example Text Example Data 18 nagf_interp_2d_scat_shep Interpolating functions, modified Shepard's method, two variables e01shf 18 nagf_interp_2d_scat_shep_eval Interpolated values, evaluate interpolant computed by e01sgf, function and first derivatives, two variables e01tgf Example Text Example Data 18 nagf_interp_3d_scat_shep Interpolating functions, modified Shepard's method, three variables e01thf 18 nagf_interp_3d_scat_shep_eval Interpolated values, evaluate interpolant computed by e01tgf, function and first derivatives, three variables e01tkf Example Text Example Data 23 nagf_interp_4d_scat_shep Interpolating functions, modified Shepard's method, four variables e01tlf Example Text Example Data 23 nagf_interp_4d_scat_shep_eval Interpolated values, evaluate interpolant computed by e01tkf, function and first derivatives, four variables e01tmf Example Text Example Data 23 nagf_interp_5d_scat_shep Interpolating functions, modified Shepard's method, five variables e01tnf Example Text Example Data 23 nagf_interp_5d_scat_shep_eval Interpolated values, evaluate interpolant computed by e01tmf, function and first derivatives, five variables e01zmf Example Text Example Data 24 nagf_interp_nd_scat_shep Interpolating function, modified Shepard's method, $d$ dimensions e01znf Example Text Example Data 24 nagf_interp_nd_scat_shep_eval Interpolated values, evaluate interpolant computed by e01zmf, function and first derivatives, $d$ dimensions
© The Numerical Algorithms Group Ltd, Oxford, UK. 2017