diff options
Diffstat (limited to 'src/GeneralizedPolynomial-Uniform/Hermite/2d.maple')
-rw-r--r-- | src/GeneralizedPolynomial-Uniform/Hermite/2d.maple | 114 |
1 files changed, 0 insertions, 114 deletions
diff --git a/src/GeneralizedPolynomial-Uniform/Hermite/2d.maple b/src/GeneralizedPolynomial-Uniform/Hermite/2d.maple deleted file mode 100644 index 9b402ab..0000000 --- a/src/GeneralizedPolynomial-Uniform/Hermite/2d.maple +++ /dev/null @@ -1,114 +0,0 @@ -# 2d.maple -- compute Hermite interpolation coefficients in 2-D -# $Header$ - -################################################################################ - -# -# 2d, cube, polynomial order=3, derivatives via 3-point order=2 formula -# ==> overall order=2, 4-point molecule -# - -# interpolating polynomial -interp_2d_cube_order2 - := Hermite_polynomial_interpolant(fn_2d_order3, - coeffs_set_2d_order3, - [x,y], - { - {x} = deriv_2d_dx_3point, - {y} = deriv_2d_dy_3point, - {x,y} = deriv_2d_dxy_3point - }, - {op(posn_list_2d_size2)}, - {op(posn_list_2d_size2)}); - -# I -coeffs_as_lc_of_data(%, posn_list_2d_size4); -print_coeffs__lc_of_data(%, "coeffs_I->coeff_", "fp", - "2d.coeffs/2d.cube.order2/coeffs-I.compute.c"); - -# d/dx -simplify( diff(interp_2d_cube_order2,x) ); -coeffs_as_lc_of_data(%, posn_list_2d_size4); -print_coeffs__lc_of_data(%, "coeffs_dx->coeff_", "fp", - "2d.coeffs/2d.cube.order2/coeffs-dx.compute.c"); - -# d/dy -simplify( diff(interp_2d_cube_order2,y) ); -coeffs_as_lc_of_data(%, posn_list_2d_size4); -print_coeffs__lc_of_data(%, "coeffs_dy->coeff_", "fp", - "2d.coeffs/2d.cube.order2/coeffs-dy.compute.c"); - -# d^2/dx^2 -simplify( diff(interp_2d_cube_order2,x,x) ); -coeffs_as_lc_of_data(%, posn_list_2d_size4); -print_coeffs__lc_of_data(%, "coeffs_dxx->coeff_", "fp", - "2d.coeffs/2d.cube.order2/coeffs-dxx.compute.c"); - -# d^2/dxdy -simplify( diff(interp_2d_cube_order2,x,y) ); -coeffs_as_lc_of_data(%, posn_list_2d_size4); -print_coeffs__lc_of_data(%, "coeffs_dxy->coeff_", "fp", - "2d.coeffs/2d.cube.order2/coeffs-dxy.compute.c"); - -# d^2/dy^2 -simplify( diff(interp_2d_cube_order2,y,y) ); -coeffs_as_lc_of_data(%, posn_list_2d_size4); -print_coeffs__lc_of_data(%, "coeffs_dyy->coeff_", "fp", - "2d.coeffs/2d.cube.order2/coeffs-dyy.compute.c"); - -################################################################################ - -# -# 2d, cube, polynomial order=3, derivatives via 5-point order=4 formula -# ==> overall order=3, 6-point molecule -# - -# interpolating polynomial -interp_2d_cube_order3 - := Hermite_polynomial_interpolant(fn_2d_order3, - coeffs_set_2d_order3, - [x,y], - { - {x} = deriv_2d_dx_5point, - {y} = deriv_2d_dy_5point, - {x,y} = deriv_2d_dxy_5point - }, - {op(posn_list_2d_size2)}, - {op(posn_list_2d_size2)}); - -# I -coeffs_as_lc_of_data(%, posn_list_2d_size6); -print_coeffs__lc_of_data(%, "coeffs_I->coeff_", "fp", - "2d.coeffs/2d.cube.order3/coeffs-I.compute.c"); - -# d/dx -simplify( diff(interp_2d_cube_order3,x) ); -coeffs_as_lc_of_data(%, posn_list_2d_size6); -print_coeffs__lc_of_data(%, "coeffs_dx->coeff_", "fp", - "2d.coeffs/2d.cube.order3/coeffs-dx.compute.c"); - -# d/dy -simplify( diff(interp_2d_cube_order3,y) ); -coeffs_as_lc_of_data(%, posn_list_2d_size6); -print_coeffs__lc_of_data(%, "coeffs_dy->coeff_", "fp", - "2d.coeffs/2d.cube.order3/coeffs-dy.compute.c"); - -# d^2/dx^2 -simplify( diff(interp_2d_cube_order3,x,x) ); -coeffs_as_lc_of_data(%, posn_list_2d_size6); -print_coeffs__lc_of_data(%, "coeffs_dxx->coeff_", "fp", - "2d.coeffs/2d.cube.order3/coeffs-dxx.compute.c"); - -# d^2/dxdy -simplify( diff(interp_2d_cube_order3,x,y) ); -coeffs_as_lc_of_data(%, posn_list_2d_size6); -print_coeffs__lc_of_data(%, "coeffs_dxy->coeff_", "fp", - "2d.coeffs/2d.cube.order3/coeffs-dxy.compute.c"); - -# d^2/dy^2 -simplify( diff(interp_2d_cube_order3,y,y) ); -coeffs_as_lc_of_data(%, posn_list_2d_size6); -print_coeffs__lc_of_data(%, "coeffs_dyy->coeff_", "fp", - "2d.coeffs/2d.cube.order3/coeffs-dyy.compute.c"); - -################################################################################ |