diff options
Diffstat (limited to 'src/GeneralizedPolynomial-Uniform/Hermite/3d.maple')
| -rw-r--r-- | src/GeneralizedPolynomial-Uniform/Hermite/3d.maple | 170 |
1 files changed, 0 insertions, 170 deletions
diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/3d.maple b/src/GeneralizedPolynomial-Uniform/Hermite/3d.maple deleted file mode 100644 index ac72c38..0000000 --- a/src/GeneralizedPolynomial-Uniform/Hermite/3d.maple +++ /dev/null @@ -1,170 +0,0 @@ -# 3d.maple -- compute Hermite interpolation coeffsicients in 3-D -# $Header$ - -################################################################################ - -# -# 3d, cube, polynomial order=3, derivatives via 3-point order=2 formula -# ==> overall order=2, 4-point molecule -# - -# interpolating polynomial -interp_3d_cube_order2 - := Hermite_polynomial_interpolant(fn_3d_order3, - coeffs_set_3d_order3, - [x,y,z], - { - {x} = deriv_3d_dx_3point, - {y} = deriv_3d_dy_3point, - {z} = deriv_3d_dz_3point, - {x,y} = deriv_3d_dxy_3point, - {x,z} = deriv_3d_dxz_3point, - {y,z} = deriv_3d_dyz_3point, - {x,y,z} = deriv_3d_dxyz_3point - }, - {op(posn_list_3d_size2)}, - {op(posn_list_3d_size2)}); - -# I -coeffs_as_lc_of_data(%, posn_list_3d_size4); -print_coeffs__lc_of_data(%, "coeffs_I->coeff_", "fp", - "3d.coeffs/3d.cube.order2/coeffs-I.compute.c"); - -# d/dx -simplify( diff(interp_3d_cube_order2,x) ); -coeffs_as_lc_of_data(%, posn_list_3d_size4); -print_coeffs__lc_of_data(%, "coeffs_dx->coeff_", "fp", - "3d.coeffs/3d.cube.order2/coeffs-dx.compute.c"); - -# d/dy -simplify( diff(interp_3d_cube_order2,y) ); -coeffs_as_lc_of_data(%, posn_list_3d_size4); -print_coeffs__lc_of_data(%, "coeffs_dy->coeff_", "fp", - "3d.coeffs/3d.cube.order2/coeffs-dy.compute.c"); - -# d/dz -simplify( diff(interp_3d_cube_order2,z) ); -coeffs_as_lc_of_data(%, posn_list_3d_size4); -print_coeffs__lc_of_data(%, "coeffs_dz->coeff_", "fp", - "3d.coeffs/3d.cube.order2/coeffs-dz.compute.c"); - -# d^2/dx^2 -simplify( diff(interp_3d_cube_order2,x,x) ); -coeffs_as_lc_of_data(%, posn_list_3d_size4); -print_coeffs__lc_of_data(%, "coeffs_dxx->coeff_", "fp", - "3d.coeffs/3d.cube.order2/coeffs-dxx.compute.c"); - -# d^2/dxdy -simplify( diff(interp_3d_cube_order2,x,y) ); -coeffs_as_lc_of_data(%, posn_list_3d_size4); -print_coeffs__lc_of_data(%, "coeffs_dxy->coeff_", "fp", - "3d.coeffs/3d.cube.order2/coeffs-dxy.compute.c"); - -# d^2/dxdz -simplify( diff(interp_3d_cube_order2,x,z) ); -coeffs_as_lc_of_data(%, posn_list_3d_size4); -print_coeffs__lc_of_data(%, "coeffs_dxz->coeff_", "fp", - "3d.coeffs/3d.cube.order2/coeffs-dxz.compute.c"); - -# d^2/dy^2 -simplify( diff(interp_3d_cube_order2,y,y) ); -coeffs_as_lc_of_data(%, posn_list_3d_size4); -print_coeffs__lc_of_data(%, "coeffs_dyy->coeff_", "fp", - "3d.coeffs/3d.cube.order2/coeffs-dyy.compute.c"); - -# d^2/dydz -simplify( diff(interp_3d_cube_order2,y,z) ); -coeffs_as_lc_of_data(%, posn_list_3d_size4); -print_coeffs__lc_of_data(%, "coeffs_dyz->coeff_", "fp", - "3d.coeffs/3d.cube.order2/coeffs-dyz.compute.c"); - -# d^2/dz^2 -simplify( diff(interp_3d_cube_order2,z,z) ); -coeffs_as_lc_of_data(%, posn_list_3d_size4); -print_coeffs__lc_of_data(%, "coeffs_dzz->coeff_", "fp", - "3d.coeffs/3d.cube.order2/coeffs-dzz.compute.c"); - -################################################################################ - -# -# 3d, cube, polynomial order=3, derivatives via 5-point order=4 formula -# ==> overall order=3, 6-point molecule -# - -# interpolating polynomial -interp_3d_cube_order3 - := Hermite_polynomial_interpolant(fn_3d_order3, - coeffs_set_3d_order3, - [x,y,z], - { - {x} = deriv_3d_dx_5point, - {y} = deriv_3d_dy_5point, - {z} = deriv_3d_dz_5point, - {x,y} = deriv_3d_dxy_5point, - {x,z} = deriv_3d_dxz_5point, - {y,z} = deriv_3d_dyz_5point, - {x,y,z} = deriv_3d_dxyz_5point - }, - {op(posn_list_3d_size2)}, - {op(posn_list_3d_size2)}); - -# I -coeffs_as_lc_of_data(%, posn_list_3d_size6); -print_coeffs__lc_of_data(%, "coeffs_I->coeff_", "fp", - "3d.coeffs/3d.cube.order3/coeffs-I.compute.c"); - -# d/dx -simplify( diff(interp_3d_cube_order3,x) ); -coeffs_as_lc_of_data(%, posn_list_3d_size6); -print_coeffs__lc_of_data(%, "coeffs_dx->coeff_", "fp", - "3d.coeffs/3d.cube.order3/coeffs-dx.compute.c"); - -# d/dy -simplify( diff(interp_3d_cube_order3,y) ); -coeffs_as_lc_of_data(%, posn_list_3d_size6); -print_coeffs__lc_of_data(%, "coeffs_dy->coeff_", "fp", - "3d.coeffs/3d.cube.order3/coeffs-dy.compute.c"); - -# d/dz -simplify( diff(interp_3d_cube_order3,z) ); -coeffs_as_lc_of_data(%, posn_list_3d_size6); -print_coeffs__lc_of_data(%, "coeffs_dz->coeff_", "fp", - "3d.coeffs/3d.cube.order3/coeffs-dz.compute.c"); - -# d^2/dx^2 -simplify( diff(interp_3d_cube_order3,x,x) ); -coeffs_as_lc_of_data(%, posn_list_3d_size6); -print_coeffs__lc_of_data(%, "coeffs_dxx->coeff_", "fp", - "3d.coeffs/3d.cube.order3/coeffs-dxx.compute.c"); - -# d^2/dxdy -simplify( diff(interp_3d_cube_order3,x,y) ); -coeffs_as_lc_of_data(%, posn_list_3d_size6); -print_coeffs__lc_of_data(%, "coeffs_dxy->coeff_", "fp", - "3d.coeffs/3d.cube.order3/coeffs-dxy.compute.c"); - -# d^2/dxdz -simplify( diff(interp_3d_cube_order3,x,z) ); -coeffs_as_lc_of_data(%, posn_list_3d_size6); -print_coeffs__lc_of_data(%, "coeffs_dxz->coeff_", "fp", - "3d.coeffs/3d.cube.order3/coeffs-dxz.compute.c"); - -# d^2/dy^2 -simplify( diff(interp_3d_cube_order3,y,y) ); -coeffs_as_lc_of_data(%, posn_list_3d_size6); -print_coeffs__lc_of_data(%, "coeffs_dyy->coeff_", "fp", - "3d.coeffs/3d.cube.order3/coeffs-dyy.compute.c"); - -# d^2/dydz -simplify( diff(interp_3d_cube_order3,y,z) ); -coeffs_as_lc_of_data(%, posn_list_3d_size6); -print_coeffs__lc_of_data(%, "coeffs_dyz->coeff_", "fp", - "3d.coeffs/3d.cube.order3/coeffs-dyz.compute.c"); - -# d^2/dz^2 -simplify( diff(interp_3d_cube_order3,z,z) ); -coeffs_as_lc_of_data(%, posn_list_3d_size6); -print_coeffs__lc_of_data(%, "coeffs_dzz->coeff_", "fp", - "3d.coeffs/3d.cube.order3/coeffs-dzz.compute.c"); - -################################################################################ |