diff options
Diffstat (limited to 'src/GeneralizedPolynomial-Uniform/Lagrange-tensor-product/2d.maple')
-rw-r--r-- | src/GeneralizedPolynomial-Uniform/Lagrange-tensor-product/2d.maple | 170 |
1 files changed, 0 insertions, 170 deletions
diff --git a/src/GeneralizedPolynomial-Uniform/Lagrange-tensor-product/2d.maple b/src/GeneralizedPolynomial-Uniform/Lagrange-tensor-product/2d.maple deleted file mode 100644 index a5b197c..0000000 --- a/src/GeneralizedPolynomial-Uniform/Lagrange-tensor-product/2d.maple +++ /dev/null @@ -1,170 +0,0 @@ -# 2d.maple -- compute Lagrange interpolation coefficients in 2-D -# $Header$ - -################################################################################ - -# -# 2d, cube, order=1, smoothing=0 (size=2) -# - -# interpolating polynomial -interp_2d_cube_order1_smooth0 - := Lagrange_polynomial_interpolant(fn_2d_order1, coeffs_list_2d_order1, - coords_list_2d, posn_list_2d_size2); - -# I -coeffs_as_lc_of_data(%, posn_list_2d_size2); -print_coeffs__lc_of_data(%, "coeffs_I->coeff_", "fp", - "2d.coeffs/2d.cube.order1.smooth0/coeffs-I.compute.c"); - -# d/dx -simplify( diff(interp_2d_cube_order1_smooth0,x) ); -coeffs_as_lc_of_data(%, posn_list_2d_size2); -print_coeffs__lc_of_data(%, "coeffs_dx->coeff_", "fp", - "2d.coeffs/2d.cube.order1.smooth0/coeffs-dx.compute.c"); - -# d/dy -simplify( diff(interp_2d_cube_order1_smooth0,y) ); -coeffs_as_lc_of_data(%, posn_list_2d_size2); -print_coeffs__lc_of_data(%, "coeffs_dy->coeff_", "fp", - "2d.coeffs/2d.cube.order1.smooth0/coeffs-dy.compute.c"); - -################################################################################ - -# -# 2d, cube, order=2, smoothing=0 (size=3) -# - -# interpolating polynomial -interp_2d_cube_order2_smooth0 - := Lagrange_polynomial_interpolant(fn_2d_order2, coeffs_list_2d_order2, - coords_list_2d, posn_list_2d_size3); - -# I -coeffs_as_lc_of_data(%, posn_list_2d_size3); -print_coeffs__lc_of_data(%, "coeffs_I->coeff_", "fp", - "2d.coeffs/2d.cube.order2.smooth0/coeffs-I.compute.c"); - -# d/dx -simplify( diff(interp_2d_cube_order2_smooth0,x) ); -coeffs_as_lc_of_data(%, posn_list_2d_size3); -print_coeffs__lc_of_data(%, "coeffs_dx->coeff_", "fp", - "2d.coeffs/2d.cube.order2.smooth0/coeffs-dx.compute.c"); - -# d/dy -simplify( diff(interp_2d_cube_order2_smooth0,y) ); -coeffs_as_lc_of_data(%, posn_list_2d_size3); -print_coeffs__lc_of_data(%, "coeffs_dy->coeff_", "fp", - "2d.coeffs/2d.cube.order2.smooth0/coeffs-dy.compute.c"); - -# d^2/dx^2 -simplify( diff(interp_2d_cube_order2_smooth0,x,x) ); -coeffs_as_lc_of_data(%, posn_list_2d_size3); -print_coeffs__lc_of_data(%, "coeffs_dxx->coeff_", "fp", - "2d.coeffs/2d.cube.order2.smooth0/coeffs-dxx.compute.c"); - -# d^2/dxdy -simplify( diff(interp_2d_cube_order2_smooth0,x,y) ); -coeffs_as_lc_of_data(%, posn_list_2d_size3); -print_coeffs__lc_of_data(%, "coeffs_dxy->coeff_", "fp", - "2d.coeffs/2d.cube.order2.smooth0/coeffs-dxy.compute.c"); - -# d^2/dy^2 -simplify( diff(interp_2d_cube_order2_smooth0,y,y) ); -coeffs_as_lc_of_data(%, posn_list_2d_size3); -print_coeffs__lc_of_data(%, "coeffs_dyy->coeff_", "fp", - "2d.coeffs/2d.cube.order2.smooth0/coeffs-dyy.compute.c"); - -################################################################################ - -# -# 2d, cube, order=3, smoothing=0 (size=4) -# - -# interpolating polynomial -interp_2d_cube_order3_smooth0 - := Lagrange_polynomial_interpolant(fn_2d_order3, coeffs_list_2d_order3, - coords_list_2d, posn_list_2d_size4); - -# I -coeffs_as_lc_of_data(%, posn_list_2d_size4); -print_coeffs__lc_of_data(%, "coeffs_I->coeff_", "fp", - "2d.coeffs/2d.cube.order3.smooth0/coeffs-I.compute.c"); - -# d/dx -simplify( diff(interp_2d_cube_order3_smooth0,x) ); -coeffs_as_lc_of_data(%, posn_list_2d_size4); -print_coeffs__lc_of_data(%, "coeffs_dx->coeff_", "fp", - "2d.coeffs/2d.cube.order3.smooth0/coeffs-dx.compute.c"); - -# d/dy -simplify( diff(interp_2d_cube_order3_smooth0,y) ); -coeffs_as_lc_of_data(%, posn_list_2d_size4); -print_coeffs__lc_of_data(%, "coeffs_dy->coeff_", "fp", - "2d.coeffs/2d.cube.order3.smooth0/coeffs-dy.compute.c"); - -# d^2/dx^2 -simplify( diff(interp_2d_cube_order3_smooth0,x,x) ); -coeffs_as_lc_of_data(%, posn_list_2d_size4); -print_coeffs__lc_of_data(%, "coeffs_dxx->coeff_", "fp", - "2d.coeffs/2d.cube.order3.smooth0/coeffs-dxx.compute.c"); - -# d^2/dxdy -simplify( diff(interp_2d_cube_order3_smooth0,x,y) ); -coeffs_as_lc_of_data(%, posn_list_2d_size4); -print_coeffs__lc_of_data(%, "coeffs_dxy->coeff_", "fp", - "2d.coeffs/2d.cube.order3.smooth0/coeffs-dxy.compute.c"); - -# d^2/dy^2 -simplify( diff(interp_2d_cube_order3_smooth0,y,y) ); -coeffs_as_lc_of_data(%, posn_list_2d_size4); -print_coeffs__lc_of_data(%, "coeffs_dyy->coeff_", "fp", - "2d.coeffs/2d.cube.order3.smooth0/coeffs-dyy.compute.c"); - -################################################################################ - -# -# 2d, cube, order=4, smoothing=0 (size=5) -# - -# interpolating polynomial -interp_2d_cube_order4_smooth0 - := Lagrange_polynomial_interpolant(fn_2d_order4, coeffs_list_2d_order4, - coords_list_2d, posn_list_2d_size5); - -# I -coeffs_as_lc_of_data(%, posn_list_2d_size5); -print_coeffs__lc_of_data(%, "coeffs_I->coeff_", "fp", - "2d.coeffs/2d.cube.order4.smooth0/coeffs-I.compute.c"); - -# d/dx -simplify( diff(interp_2d_cube_order4_smooth0,x) ); -coeffs_as_lc_of_data(%, posn_list_2d_size5); -print_coeffs__lc_of_data(%, "coeffs_dx->coeff_", "fp", - "2d.coeffs/2d.cube.order4.smooth0/coeffs-dx.compute.c"); - -# d/dy -simplify( diff(interp_2d_cube_order4_smooth0,y) ); -coeffs_as_lc_of_data(%, posn_list_2d_size5); -print_coeffs__lc_of_data(%, "coeffs_dy->coeff_", "fp", - "2d.coeffs/2d.cube.order4.smooth0/coeffs-dy.compute.c"); - -# d^2/dx^2 -simplify( diff(interp_2d_cube_order4_smooth0,x,x) ); -coeffs_as_lc_of_data(%, posn_list_2d_size5); -print_coeffs__lc_of_data(%, "coeffs_dxx->coeff_", "fp", - "2d.coeffs/2d.cube.order4.smooth0/coeffs-dxx.compute.c"); - -# d^2/dxdy -simplify( diff(interp_2d_cube_order4_smooth0,x,y) ); -coeffs_as_lc_of_data(%, posn_list_2d_size5); -print_coeffs__lc_of_data(%, "coeffs_dxy->coeff_", "fp", - "2d.coeffs/2d.cube.order4.smooth0/coeffs-dxy.compute.c"); - -# d^2/dy^2 -simplify( diff(interp_2d_cube_order4_smooth0,y,y) ); -coeffs_as_lc_of_data(%, posn_list_2d_size5); -print_coeffs__lc_of_data(%, "coeffs_dyy->coeff_", "fp", - "2d.coeffs/2d.cube.order4.smooth0/coeffs-dyy.compute.c"); - -################################################################################ |