Index A | B | C | D | E | F | G | H | I | J | K | L | M | P | Q | R | S | T | V A allen_cahn_1D module allen_cahn_2D module apply_bc() (in module chebyshev_galerken_tau_laplace), [1] (in module PG_tau_frac_der) (in module PG_tau_gen_fractional_der) (in module shift_legendre_galerkin_tau_laplace) B basis module basis2D module beta_function() (misc.constant method) binomial_coefficient() (misc.constant method) C chebyshev_first_kind() (basis.polynomials method) (basis.second_derivatives method) (basis.test method) (laplace_matrix.galerkin method) chebyshev_galerken_tau_laplace module, [1] chebyshev_second_kind() (basis.polynomials method) (basis.test method) coefficient (class in projection) con_proj() (convolution.test method) con_proj_rt() (convolution.test method) constant (class in misc) construct_sol() (in module allen_cahn_1D) (in module allen_cahn_2D) conv_f_Q() (in module func_apprx_conv) (in module function_approx_conv_homogenous_basis) conv_jacobi_Pm_Pn() (misc.constant method) conv_mass_matrix module conv_mass_matrix (class in conv_mass_matrix) conv_othro_Qn_Qm() (misc.constant method) conv_othro_Qn_xk() (misc.constant method) convolution module convolution (class in convolution) convolution_othro_Qn_Qm() (misc.constant method) D der2func() (stiffness_matrix.test method) der2funcX() (stiffness_matrix2D.test method) der2funcY() (stiffness_matrix2D.test method) der_f() (in module PG_Laplace_Lifting_shited_legendre) E eval_A() (in module allen_cahn_1D) (in module allen_cahn_2D) eval_b() (in module allen_cahn_1D) (in module allen_cahn_2D) example() (gauss_convolution_quad.test method) exp() (in module chebyshev_galerken_tau_laplace), [1] (in module frac_der_inner_homogen_bc) (in module frac_differ_conv_homogeneous) (in module func_apprx_conv) (in module function_approx_conv_homogenous_basis) (in module gen_frac_deritivate_conv_homogeneous) (in module lapalace_legendre_liftting) (in module PG_Lapalace_Lifting_Legendre) (in module PG_Laplace_Lifting_shited_legendre) (in module PG_tau_frac_der) (in module PG_tau_gen_fractional_der) (in module shift_legendre_galerkin_tau_laplace) expansion (class in projection) F factorial() (misc.constant method) first_derivatives (class in basis) (class in basis2D) fn() (convolution.test method) fn_rt() (convolution.test method) four() (projection.test method) frac_der_inner_homogen_bc module frac_differ_conv_homogeneous module fun_f() (in module chebyshev_galerken_tau_laplace), [1] (in module lapalace_legendre_liftting) (in module PG_Lapalace_Lifting_Legendre) (in module PG_Laplace_Lifting_shited_legendre) (in module shift_legendre_galerkin_tau_laplace) fun_g() (in module chebyshev_galerken_tau_laplace), [1] (in module lapalace_legendre_liftting) (in module PG_Lapalace_Lifting_Legendre) (in module PG_Laplace_Lifting_shited_legendre) (in module shift_legendre_galerkin_tau_laplace) fun_rhs() (in module chebyshev_galerken_tau_laplace), [1] (in module lapalace_legendre_liftting) (in module PG_Lapalace_Lifting_Legendre) (in module PG_Laplace_Lifting_shited_legendre) (in module shift_legendre_galerkin_tau_laplace) func() (mass_matrix.test method) (mass_matrix2D.test method) (stiffness_matrix.test method) (stiffness_matrix2D.test method) func1() (in module frac_der_inner_homogen_bc) (in module frac_differ_conv_homogeneous) (in module func_apprx_conv) (in module function_approx_conv_homogenous_basis) (in module gen_frac_deritivate_conv_homogeneous) (in module PG_tau_frac_der) (in module PG_tau_gen_fractional_der) func_apprx_conv module function_approx_conv_homogenous_basis module function_projection() (in module allen_cahn_1D) function_projection_2d() (in module allen_cahn_2D) funx() (mass_matrix2D.test method) (stiffness_matrix2D.test method) funy() (mass_matrix2D.test method) (stiffness_matrix2D.test method) G galerkin (class in laplace_matrix) (class in projection) gamma_function() (misc.constant method) gauss_con_jacobi_arb() (gauss_convolution_quad.test method) (gauss_convolution_quad_twofuncs.test method) gauss_con_jacobi_arb_norm() (gauss_convolution_quad.test method) (gauss_convolution_quad_twofuncs.test method) gauss_con_jacobi_interp() (gauss_convolution_quad.test method) (gauss_convolution_quad_twofuncs.test method) gauss_con_jacobi_interp_two() (gauss_convolution_quad_twofuncs.test method) gauss_convolution_quad module gauss_convolution_quad_twofuncs module gauss_legendre() (quad.test method) (quad2D.test method) gauss_legendre_homogeous() (quad.test method) (quad2D.test method) gauss_quad (class in quad) (class in quad2D) gauss_shift_legendre_homogeous() (quad.test method) (quad2D.test method) gen_frac_deritivate_conv_homogeneous module get_kappa_coeff() (sonin_kernel.sonin method) gm() (in module frac_der_inner_homogen_bc) (in module frac_differ_conv_homogeneous) (in module gen_frac_deritivate_conv_homogeneous) (in module PG_tau_frac_der) (in module PG_tau_gen_fractional_der) gn() (convolution.test method) gn_rt() (convolution.test method) H homo_basis() (projection.test method) homogeneous_basis (class in basis) (class in basis2D) homogeneous_legendre() (laplace_matrix.galerkin method) (laplace_matrix.petrov_galerkin method) homogeneous_shift_legendre() (laplace_matrix.petrov_galerkin method) homogenous_legendre() (mass_matrix.mass_matrix method) (mass_matrix.test method) (mass_matrix2D.mass_matrix2D method) (mass_matrix2D.test method) (quad.gauss_quad method) (quad.quad_pts_weights method) (quad2D.gauss_quad method) (quad2D.quad_pts_weights method) (stiffness_matrix.stiffness_matrix method) (stiffness_matrix.test method) (stiffness_matrix2D.stiffness_matrix2D method) (stiffness_matrix2D.test method) homogenous_legendre_basis() (basis.first_derivatives method) (basis.second_derivatives method) (basis2D.first_derivatives method) homogenous_legendre_proj() (mass_matrix.test method) (mass_matrix2D.test method) homogenous_legendre_proj_err() (mass_matrix.test method) (mass_matrix2D.test method) (stiffness_matrix.test method) (stiffness_matrix2D.test method) homogenous_shift_legendre() (conv_mass_matrix.conv_mass_matrix method) (mass_matrix.mass_matrix method) (mass_matrix2D.mass_matrix2D method) (quad.gauss_quad method) (quad.quad_pts_weights method) (quad2D.gauss_quad method) (quad2D.quad_pts_weights method) (stiffness_matrix.stiffness_matrix method) (stiffness_matrix2D.stiffness_matrix2D method) homogenous_shift_legendre_basis() (basis.first_derivatives method) (basis.second_derivatives method) (basis2D.first_derivatives method) homogenous_shift_legendre_proj() (mass_matrix.test method) (mass_matrix2D.test method) homogenous_shift_legendre_proj_err() (mass_matrix.test method) (mass_matrix2D.test method) (stiffness_matrix.test method) (stiffness_matrix2D.test method) I initial_value() (in module allen_cahn_1D) (in module allen_cahn_2D) initial_valueX() (in module allen_cahn_2D) J jacobi() (basis.first_derivatives method) (basis.polynomials method) (basis.second_derivatives method) (laplace_matrix.galerkin method) (mass_matrix.mass_matrix method) (projection.coefficient method) (projection.expansion method) (projection.galerkin method) (quad.quad_pts_weights method) jacobi_constant() (misc.constant method) K k_cov() (in module gen_frac_deritivate_conv_homogeneous) k_inner() (in module PG_tau_gen_fractional_der) k_kernel() (sonin_kernel.sonin method) kappa_cov() (in module gen_frac_deritivate_conv_homogeneous) (in module PG_tau_gen_fractional_der) kappa_cov_at_x() (in module PG_tau_gen_fractional_der) kappa_kernel() (sonin_kernel.sonin method) L lapalace_legendre_liftting module laplace_matrix module laplacian_homogenous_legendre() (stiffness_matrix.test method) (stiffness_matrix2D.test method) laplacian_homogenous_shift_legendre() (stiffness_matrix.test method) (stiffness_matrix2D.test method) laplacian_legendre() (stiffness_matrix.test method) left_conv() (convolution.test method) left_convolue() (convolution.convolution method) left_convolue_at_x() (convolution.convolution method) legen_scaled() (in module func_apprx_conv) legendre() (basis.first_derivatives method) (basis.homogeneous_basis method) (basis.polynomials method) (basis.second_derivatives method) (basis.test method) (basis2D.first_derivatives method) (basis2D.homogeneous_basis method) (basis2D.polynomials method) (basis2D.test method) (laplace_matrix.galerkin method) (mass_matrix.mass_matrix method) (mass_matrix.test method) (mass_matrix2D.mass_matrix2D method) (mass_matrix2D.test method) (projection.coefficient method) (projection.expansion method) (projection.galerkin method) (projection.test method) (quad.gauss_quad method) (quad.quad_pts_weights method) (quad2D.gauss_quad method) (quad2D.quad_pts_weights method) (stiffness_matrix.stiffness_matrix method) (stiffness_matrix.test method) (stiffness_matrix2D.stiffness_matrix2D method) legendre_conv_basis() (in module PG_tau_frac_der) legendre_conv_basis_at_x() (in module PG_tau_frac_der) legendre_homogenous_basis() (basis.test method) (basis2D.test method) legendre_proj() (mass_matrix.test method) (mass_matrix2D.test method) legendre_proj_err() (mass_matrix.test method) (mass_matrix2D.test method) (stiffness_matrix.test method) M main() (in module chebyshev_galerken_tau_laplace), [1] (in module frac_der_inner_homogen_bc) (in module frac_differ_conv_homogeneous) (in module func_apprx_conv) (in module function_approx_conv_homogenous_basis) (in module gen_frac_deritivate_conv_homogeneous) (in module lapalace_legendre_liftting) (in module PG_Lapalace_Lifting_Legendre) (in module PG_Laplace_Lifting_shited_legendre) (in module PG_tau_frac_der) (in module PG_tau_gen_fractional_der) (in module shift_legendre_galerkin_tau_laplace) mass() (in module func_apprx_conv) mass1() (conv_mass_matrix.test method) mass_matrix module mass_matrix (class in mass_matrix) mass_matrix2D module mass_matrix2D (class in mass_matrix2D) misc module module allen_cahn_1D allen_cahn_2D basis basis2D chebyshev_galerken_tau_laplace, [1] conv_mass_matrix convolution frac_der_inner_homogen_bc frac_differ_conv_homogeneous func_apprx_conv function_approx_conv_homogenous_basis gauss_convolution_quad gauss_convolution_quad_twofuncs gen_frac_deritivate_conv_homogeneous lapalace_legendre_liftting laplace_matrix mass_matrix mass_matrix2D misc PG_Lapalace_Lifting_Legendre PG_Laplace_Lifting_shited_legendre PG_tau_frac_der PG_tau_gen_fractional_der projection quad quad2D shift_legendre_galerkin_tau_laplace sonin_kernel stiffness_matrix stiffness_matrix2D P petrov_galerkin (class in laplace_matrix) PG_Lapalace_Lifting_Legendre module PG_Laplace_Lifting_shited_legendre module PG_tau_frac_der module PG_tau_gen_fractional_der module plot_err() (in module frac_der_inner_homogen_bc) (in module frac_differ_conv_homogeneous) (in module PG_tau_frac_der) (in module PG_tau_gen_fractional_der) plot_kernel() (sonin_kernel.test method) pochehammer() (gauss_convolution_quad_twofuncs.quad_pts_weights method) pochhammer() (misc.constant method) polynomials (class in basis) (class in basis2D) proj_err() (mass_matrix.test method) (mass_matrix2D.test method) (stiffness_matrix.test method) (stiffness_matrix2D.test method) projection module Q Q_ploy() (basis.first_derivatives method) (basis.polynomials method) (basis.second_derivatives method) Q_ploy_legendre() (basis.polynomials method) Q_poly() (basis.polynomials method) (conv_mass_matrix.conv_mass_matrix method) (laplace_matrix.galerkin method) (mass_matrix.mass_matrix method) (projection.coefficient method) (projection.expansion method) (projection.galerkin method) (quad.gauss_quad method) (quad.quad_pts_weights method) Q_proj() (mass_matrix.test method) quad module quad2D module quad_pts_weights (class in gauss_convolution_quad) (class in gauss_convolution_quad_twofuncs) (class in quad) (class in quad2D) R rhs_conv() (in module frac_differ_conv_homogeneous) (in module gen_frac_deritivate_conv_homogeneous) rhs_inner() (in module frac_der_inner_homogen_bc) (in module PG_tau_frac_der) (in module PG_tau_gen_fractional_der) right_convolue_at_x() (convolution.convolution method) right_th() (convolution.test method) runge() (mass_matrix.test method) (mass_matrix2D.test method) (projection.test method) (stiffness_matrix.test method) (stiffness_matrix2D.test method) runge_arb() (mass_matrix.test method) S second_der_chebyshev_first_kind() (basis.test method) second_der_jacobi() (basis.test method) second_der_legendre() (basis.test method) second_der_shift_jacobi() (basis.test method) second_der_shift_legendre() (basis.test method) second_derivatives (class in basis) shift_arbirat_gauss_legendre() (quad.test method) shift_arbitary_jacobi() (basis.polynomials method) (laplace_matrix.galerkin method) (mass_matrix.mass_matrix method) (projection.coefficient method) (projection.expansion method) (projection.galerkin method) (quad.gauss_quad method) (quad.quad_pts_weights method) shift_arbitary_legendre() (quad.gauss_quad method) (quad.quad_pts_weights method) shift_gauss_legendre() (quad.test method) (quad2D.test method) shift_jacob_arb_proj() (mass_matrix.test method) shift_jacobi() (basis.first_derivatives method) (basis.polynomials method) (basis.second_derivatives method) (conv_mass_matrix.conv_mass_matrix method) (laplace_matrix.galerkin method) (mass_matrix.mass_matrix method) (projection.coefficient method) (projection.expansion method) (projection.galerkin method) (quad.gauss_quad method) (quad.quad_pts_weights method) shift_jacobi_arb() (projection.test method) shift_jacobi_project_coeff() (mass_matrix.test method) shift_legendre() (basis.first_derivatives method) (basis.homogeneous_basis method) (basis.polynomials method) (basis.second_derivatives method) (basis2D.first_derivatives method) (basis2D.homogeneous_basis method) (basis2D.polynomials method) (conv_mass_matrix.conv_mass_matrix method) (laplace_matrix.galerkin method) (mass_matrix.mass_matrix method) (mass_matrix.test method) (mass_matrix2D.mass_matrix2D method) (mass_matrix2D.test method) (projection.coefficient method) (projection.expansion method) (projection.galerkin method) (projection.test method) (quad.gauss_quad method) (quad.quad_pts_weights method) (quad2D.gauss_quad method) (quad2D.quad_pts_weights method) shift_legendre_galerkin_tau_laplace module shift_legendre_homogenous_basis() (basis.test method) (basis2D.test method) shift_legendre_proj() (mass_matrix.test method) (mass_matrix2D.test method) shift_legendre_proj_err() (mass_matrix.test method) (mass_matrix2D.test method) shifted_jacobi() (basis.test method) shifted_legendre() (basis.test method) (basis2D.test method) singular_jacobi() (gauss_convolution_quad.quad_pts_weights method) singular_jacobi_arbitary() (gauss_convolution_quad.quad_pts_weights method) singular_jacobi_arbitary_twofuncs() (gauss_convolution_quad_twofuncs.quad_pts_weights method) singular_jacobi_normalised() (gauss_convolution_quad.quad_pts_weights method) singular_jacobi_normalised_arbitary() (gauss_convolution_quad.quad_pts_weights method) singular_jacobi_normalised_arbitary_twofuncs() (gauss_convolution_quad_twofuncs.quad_pts_weights method) singular_jacobi_normalised_twofuncs() (gauss_convolution_quad_twofuncs.quad_pts_weights method) singular_jacobi_twofuncs() (gauss_convolution_quad_twofuncs.quad_pts_weights method) solver() (in module allen_cahn_1D) (in module allen_cahn_2D) sonin (class in sonin_kernel) sonin_kernel module stiffness_matrix module stiffness_matrix (class in stiffness_matrix) stiffness_matrix2D module stiffness_matrix2D (class in stiffness_matrix2D) T test (class in basis) (class in basis2D) (class in conv_mass_matrix) (class in convolution) (class in gauss_convolution_quad) (class in gauss_convolution_quad_twofuncs) (class in mass_matrix) (class in mass_matrix2D) (class in projection) (class in quad) (class in quad2D) (class in sonin_kernel) (class in stiffness_matrix) (class in stiffness_matrix2D) test_sonin() (sonin_kernel.test method) therortical() (convolution.test method) V verify_condition() (sonin_kernel.sonin method) verify_sonin() (sonin_kernel.sonin method)