diff options
Diffstat (limited to 'src/GeneralizedPolynomial-Uniform/Lagrange-maximum-degree/1d.maple')
-rw-r--r-- | src/GeneralizedPolynomial-Uniform/Lagrange-maximum-degree/1d.maple | 166 |
1 files changed, 0 insertions, 166 deletions
diff --git a/src/GeneralizedPolynomial-Uniform/Lagrange-maximum-degree/1d.maple b/src/GeneralizedPolynomial-Uniform/Lagrange-maximum-degree/1d.maple deleted file mode 100644 index cdf1494..0000000 --- a/src/GeneralizedPolynomial-Uniform/Lagrange-maximum-degree/1d.maple +++ /dev/null @@ -1,166 +0,0 @@ -# 1d.maple -- compute Lagrange interpolation coefficients in 1-D -# $Header$ - -################################################################################ - -# -# 1d, cube, order=1, smoothing=0 (size=2) -# - -# interpolating polynomial -interp_1d_cube_order1_smooth0 - := Lagrange_polynomial_interpolant(fn_1d_order1, coeffs_list_1d_order1, - coords_list_1d, posn_list_1d_size2); - -# I -coeffs_as_lc_of_data(%, posn_list_1d_size2); -print_coeffs__lc_of_data(%, "coeffs_I->coeff_", "fp", - "1d.coeffs/1d.cube.order1.smooth0/coeffs-I.compute.c"); - -# d/dx -simplify( diff(interp_1d_cube_order1_smooth0,x) ); -coeffs_as_lc_of_data(%, posn_list_1d_size2); -print_coeffs__lc_of_data(%, "coeffs_dx->coeff_", "fp", - "1d.coeffs/1d.cube.order1.smooth0/coeffs-dx.compute.c"); - -################################################################################ - -# -# 1d, cube, order=2, smoothing=0 (size=3) -# - -# interpolating polynomial -interp_1d_cube_order2_smooth0 - := Lagrange_polynomial_interpolant(fn_1d_order2, coeffs_list_1d_order2, - coords_list_1d, posn_list_1d_size3); - -# I -coeffs_as_lc_of_data(%, posn_list_1d_size3); -print_coeffs__lc_of_data(%, "coeffs_I->coeff_", "fp", - "1d.coeffs/1d.cube.order2.smooth0/coeffs-I.compute.c"); - -# d/dx -simplify( diff(interp_1d_cube_order2_smooth0,x) ); -coeffs_as_lc_of_data(%, posn_list_1d_size3); -print_coeffs__lc_of_data(%, "coeffs_dx->coeff_", "fp", - "1d.coeffs/1d.cube.order2.smooth0/coeffs-dx.compute.c"); - -# d^2/dx^2 -simplify( diff(interp_1d_cube_order2_smooth0,x,x) ); -coeffs_as_lc_of_data(%, posn_list_1d_size3); -print_coeffs__lc_of_data(%, "coeffs_dxx->coeff_", "fp", - "1d.coeffs/1d.cube.order2.smooth0/coeffs-dxx.compute.c"); - -################################################################################ - -# -# 1d, cube, order=3, smoothing=0 (size=4) -# - -# interpolating polynomial -interp_1d_cube_order3_smooth0 - := Lagrange_polynomial_interpolant(fn_1d_order3, coeffs_list_1d_order3, - coords_list_1d, posn_list_1d_size4); - -# I -coeffs_as_lc_of_data(%, posn_list_1d_size4); -print_coeffs__lc_of_data(%, "coeffs_I->coeff_", "fp", - "1d.coeffs/1d.cube.order3.smooth0/coeffs-I.compute.c"); - -# d/dx -simplify( diff(interp_1d_cube_order3_smooth0,x) ); -coeffs_as_lc_of_data(%, posn_list_1d_size4); -print_coeffs__lc_of_data(%, "coeffs_dx->coeff_", "fp", - "1d.coeffs/1d.cube.order3.smooth0/coeffs-dx.compute.c"); - -# d^2/dx^2 -simplify( diff(interp_1d_cube_order3_smooth0,x,x) ); -coeffs_as_lc_of_data(%, posn_list_1d_size4); -print_coeffs__lc_of_data(%, "coeffs_dxx->coeff_", "fp", - "1d.coeffs/1d.cube.order3.smooth0/coeffs-dxx.compute.c"); - -################################################################################ - -# -# 1d, cube, order=4, smoothing=0 (size=5) -# - -# interpolating polynomial -interp_1d_cube_order4_smooth0 - := Lagrange_polynomial_interpolant(fn_1d_order4, coeffs_list_1d_order4, - coords_list_1d, posn_list_1d_size5); - -# I -coeffs_as_lc_of_data(%, posn_list_1d_size5); -print_coeffs__lc_of_data(%, "coeffs_I->coeff_", "fp", - "1d.coeffs/1d.cube.order4.smooth0/coeffs-I.compute.c"); - -# d/dx -simplify( diff(interp_1d_cube_order4_smooth0,x) ); -coeffs_as_lc_of_data(%, posn_list_1d_size5); -print_coeffs__lc_of_data(%, "coeffs_dx->coeff_", "fp", - "1d.coeffs/1d.cube.order4.smooth0/coeffs-dx.compute.c"); - -# d^2/dx^2 -simplify( diff(interp_1d_cube_order4_smooth0,x,x) ); -coeffs_as_lc_of_data(%, posn_list_1d_size5); -print_coeffs__lc_of_data(%, "coeffs_dxx->coeff_", "fp", - "1d.coeffs/1d.cube.order4.smooth0/coeffs-dxx.compute.c"); - -################################################################################ - -# -# 1d, cube, order=5, smoothing=0 (size=6) -# - -# interpolating polynomial -interp_1d_cube_order5_smooth0 - := Lagrange_polynomial_interpolant(fn_1d_order5, coeffs_list_1d_order5, - coords_list_1d, posn_list_1d_size6); - -# I -coeffs_as_lc_of_data(%, posn_list_1d_size6); -print_coeffs__lc_of_data(%, "coeffs_I->coeff_", "fp", - "1d.coeffs/1d.cube.order5.smooth0/coeffs-I.compute.c"); - -# d/dx -simplify( diff(interp_1d_cube_order5_smooth0,x) ); -coeffs_as_lc_of_data(%, posn_list_1d_size6); -print_coeffs__lc_of_data(%, "coeffs_dx->coeff_", "fp", - "1d.coeffs/1d.cube.order5.smooth0/coeffs-dx.compute.c"); - -# d^2/dx^2 -simplify( diff(interp_1d_cube_order5_smooth0,x,x) ); -coeffs_as_lc_of_data(%, posn_list_1d_size6); -print_coeffs__lc_of_data(%, "coeffs_dxx->coeff_", "fp", - "1d.coeffs/1d.cube.order5.smooth0/coeffs-dxx.compute.c"); - -################################################################################ - -# -# 1d, cube, order=6, smoothing=0 (size=7) -# - -# interpolating polynomial -interp_1d_cube_order6_smooth0 - := Lagrange_polynomial_interpolant(fn_1d_order6, coeffs_list_1d_order6, - coords_list_1d, posn_list_1d_size7); - -# I -coeffs_as_lc_of_data(%, posn_list_1d_size7); -print_coeffs__lc_of_data(%, "coeffs_I->coeff_", "fp", - "1d.coeffs/1d.cube.order6.smooth0/coeffs-I.compute.c"); - -# d/dx -simplify( diff(interp_1d_cube_order6_smooth0,x) ); -coeffs_as_lc_of_data(%, posn_list_1d_size7); -print_coeffs__lc_of_data(%, "coeffs_dx->coeff_", "fp", - "1d.coeffs/1d.cube.order6.smooth0/coeffs-dx.compute.c"); - -# d^2/dx^2 -simplify( diff(interp_1d_cube_order6_smooth0,x,x) ); -coeffs_as_lc_of_data(%, posn_list_1d_size7); -print_coeffs__lc_of_data(%, "coeffs_dxx->coeff_", "fp", - "1d.coeffs/1d.cube.order6.smooth0/coeffs-dxx.compute.c"); - -################################################################################ |