diff options
Diffstat (limited to 'src/GeneralizedPolynomial-Uniform/Hermite/1d.maple')
-rw-r--r-- | src/GeneralizedPolynomial-Uniform/Hermite/1d.maple | 106 |
1 files changed, 0 insertions, 106 deletions
diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/1d.maple b/src/GeneralizedPolynomial-Uniform/Hermite/1d.maple deleted file mode 100644 index 9819a78..0000000 --- a/src/GeneralizedPolynomial-Uniform/Hermite/1d.maple +++ /dev/null @@ -1,106 +0,0 @@ -# 1d.maple -- compute Hermite interpolation coefficients in 1-D -# $Header$ - -################################################################################ - -# -# 1d, cube, polynomial order=3, derivatives via 3-point order=2 formula -# ==> overall order=2, 4-point molecule -# - -# interpolating polynomial -interp_1d_cube_order2 - := Hermite_polynomial_interpolant(fn_1d_order3, - coeffs_set_1d_order3, - [x], - { {x} = deriv_1d_dx_3point }, - {op(posn_list_1d_size2)}, - {op(posn_list_1d_size2)}); - -# I -coeffs_as_lc_of_data(%, posn_list_1d_size4); -print_coeffs__lc_of_data(%, "coeffs_I->coeff_", "fp", - "1d.coeffs/1d.cube.order2/coeffs-I.compute.c"); - -# d/dx -simplify( diff(interp_1d_cube_order2,x) ); -coeffs_as_lc_of_data(%, posn_list_1d_size4); -print_coeffs__lc_of_data(%, "coeffs_dx->coeff_", "fp", - "1d.coeffs/1d.cube.order2/coeffs-dx.compute.c"); - -# d^2/dx^2 -simplify( diff(interp_1d_cube_order2,x,x) ); -coeffs_as_lc_of_data(%, posn_list_1d_size4); -print_coeffs__lc_of_data(%, "coeffs_dxx->coeff_", "fp", - "1d.coeffs/1d.cube.order2/coeffs-dxx.compute.c"); - -################################################################################ - -# -# 1d, cube, polynomial order=3, derivatives via 5-point order=4 formula -# ==> overall order=3, 6-point molecule -# - -# interpolating polynomial -interp_1d_cube_order3 - := Hermite_polynomial_interpolant(fn_1d_order3, - coeffs_set_1d_order3, - [x], - { {x} = deriv_1d_dx_5point }, - {op(posn_list_1d_size2)}, - {op(posn_list_1d_size2)}); - -# I -coeffs_as_lc_of_data(%, posn_list_1d_size6); -print_coeffs__lc_of_data(%, "coeffs_I->coeff_", "fp", - "1d.coeffs/1d.cube.order3/coeffs-I.compute.c"); - -# d/dx -simplify( diff(interp_1d_cube_order3,x) ); -coeffs_as_lc_of_data(%, posn_list_1d_size6); -print_coeffs__lc_of_data(%, "coeffs_dx->coeff_", "fp", - "1d.coeffs/1d.cube.order3/coeffs-dx.compute.c"); - -# d^2/dx^2 -simplify( diff(interp_1d_cube_order3,x,x) ); -coeffs_as_lc_of_data(%, posn_list_1d_size6); -print_coeffs__lc_of_data(%, "coeffs_dxx->coeff_", "fp", - "1d.coeffs/1d.cube.order3/coeffs-dxx.compute.c"); - -################################################################################ - -# -# 1d, cube, polynomial order=5, derivatives via 5-point order=4 formula -# ==> overall order=4, 6-point molecule -# -# n.b. in higher dimensions this doesn't work -- there aren't enough -# equations to determine all the coefficients :( :( -# - -# interpolating polynomial -interp_1d_cube_order4 - := Hermite_polynomial_interpolant(fn_1d_order5, - coeffs_set_1d_order5, - [x], - { {x} = deriv_1d_dx_5point }, - {op(posn_list_1d_size4)}, - {op(posn_list_1d_size2)}); - -# I -coeffs_as_lc_of_data(%, posn_list_1d_size6); -print_coeffs__lc_of_data(%, "coeffs_I->coeff_", "fp", - "1d.coeffs/1d.cube.order4/coeffs-I.compute.c"); - -# d/dx -simplify( diff(interp_1d_cube_order4,x) ); -coeffs_as_lc_of_data(%, posn_list_1d_size6); -print_coeffs__lc_of_data(%, "coeffs_dx->coeff_", "fp", - "1d.coeffs/1d.cube.order4/coeffs-dx.compute.c"); - -# d^2/dx^2 -simplify( diff(interp_1d_cube_order4,x,x) ); -coeffs_as_lc_of_data(%, posn_list_1d_size6); -print_coeffs__lc_of_data(%, "coeffs_dxx->coeff_", "fp", - "1d.coeffs/1d.cube.order4/coeffs-dxx.compute.c"); - -################################################################################ |