API Reference

API Reference:

• basis module
  • polynomials
    • polynomials.legendre()
    • polynomials.jacobi()
    • polynomials.Q_ploy_legendre()
    • polynomials.Q_ploy()
    • polynomials.chebyshev_first_kind()
    • polynomials.chebyshev_second_kind()
    • polynomials.shift_legendre()
    • polynomials.shift_jacobi()
    • polynomials.Q_poly()
    • polynomials.shift_arbitary_jacobi()
  • homogeneous_basis
    • homogeneous_basis.legendre()
    • homogeneous_basis.shift_legendre()
  • first_derivatives
    • first_derivatives.legendre()
    • first_derivatives.shift_legendre()
    • first_derivatives.homogenous_legendre_basis()
    • first_derivatives.homogenous_shift_legendre_basis()
    • first_derivatives.jacobi()
    • first_derivatives.shift_jacobi()
    • first_derivatives.Q_ploy()
  • second_derivatives
    • second_derivatives.legendre()
    • second_derivatives.chebyshev_first_kind()
    • second_derivatives.shift_legendre()
    • second_derivatives.homogenous_legendre_basis()
    • second_derivatives.homogenous_shift_legendre_basis()
    • second_derivatives.jacobi()
    • second_derivatives.shift_jacobi()
    • second_derivatives.Q_ploy()
  • test
    • test.legendre()
    • test.shifted_legendre()
    • test.shifted_jacobi()
    • test.chebyshev_first_kind()
    • test.chebyshev_second_kind()
    • test.legendre_homogenous_basis()
    • test.shift_legendre_homogenous_basis()
    • test.second_der_legendre()
    • test.second_der_chebyshev_first_kind()
    • test.second_der_shift_legendre()
    • test.second_der_jacobi()
    • test.second_der_shift_jacobi()
• quad module
  • quad_pts_weights
    • quad_pts_weights.legendre()
    • quad_pts_weights.jacobi()
    • quad_pts_weights.shift_legendre()
    • quad_pts_weights.shift_jacobi()
    • quad_pts_weights.Q_poly()
    • quad_pts_weights.shift_arbitary_legendre()
    • quad_pts_weights.shift_arbitary_jacobi()
    • quad_pts_weights.homogenous_legendre()
    • quad_pts_weights.homogenous_shift_legendre()
  • gauss_quad
    • gauss_quad.legendre()
    • gauss_quad.shift_legendre()
    • gauss_quad.shift_jacobi()
    • gauss_quad.Q_poly()
    • gauss_quad.shift_arbitary_legendre()
    • gauss_quad.shift_arbitary_jacobi()
    • gauss_quad.homogenous_legendre()
    • gauss_quad.homogenous_shift_legendre()
  • test
    • test.gauss_legendre()
    • test.shift_gauss_legendre()
    • test.shift_arbirat_gauss_legendre()
    • test.gauss_legendre_homogeous()
    • test.gauss_shift_legendre_homogeous()
• convolution module
  • convolution
    • convolution.left_convolue_at_x()
    • convolution.right_convolue_at_x()
    • convolution.left_convolue()
  • test
    • test.fn()
    • test.gn()
    • test.fn_rt()
    • test.gn_rt()
    • test.therortical()
    • test.right_th()
    • test.con_proj()
    • test.left_conv()
    • test.con_proj_rt()
• mass_matrix module
  • mass_matrix
    • mass_matrix.legendre()
    • mass_matrix.shift_legendre()
    • mass_matrix.jacobi()
    • mass_matrix.shift_jacobi()
    • mass_matrix.Q_poly()
    • mass_matrix.shift_arbitary_jacobi()
    • mass_matrix.homogenous_legendre()
    • mass_matrix.homogenous_shift_legendre()
  • test
    • test.legendre()
    • test.shift_legendre()
    • test.homogenous_legendre()
    • test.runge()
    • test.runge_arb()
    • test.func()
    • test.legendre_proj()
    • test.legendre_proj_err()
    • test.shift_legendre_proj()
    • test.Q_proj()
    • test.shift_jacob_arb_proj()
    • test.shift_legendre_proj_err()
    • test.shift_jacobi_project_coeff()
    • test.homogenous_legendre_proj()
    • test.homogenous_legendre_proj_err()
    • test.homogenous_shift_legendre_proj()
    • test.homogenous_shift_legendre_proj_err()
    • test.proj_err()
• mass_matrix via convolution module
  • conv_mass_matrix
    • conv_mass_matrix.shift_legendre()
    • conv_mass_matrix.shift_jacobi()
    • conv_mass_matrix.Q_poly()
    • conv_mass_matrix.homogenous_shift_legendre()
  • test
    • test.mass1()
• stiffness_matrix module
  • stiffness_matrix
    • stiffness_matrix.legendre()
    • stiffness_matrix.homogenous_legendre()
    • stiffness_matrix.homogenous_shift_legendre()
  • test
    • test.legendre()
    • test.homogenous_legendre()
    • test.runge()
    • test.func()
    • test.der2func()
    • test.laplacian_legendre()
    • test.legendre_proj_err()
    • test.laplacian_homogenous_legendre()
    • test.homogenous_legendre_proj_err()
    • test.laplacian_homogenous_shift_legendre()
    • test.homogenous_shift_legendre_proj_err()
    • test.proj_err()
• Lapacian module
  • galerkin
    • galerkin.legendre()
    • galerkin.homogeneous_legendre()
    • galerkin.shift_legendre()
    • galerkin.jacobi()
    • galerkin.chebyshev_first_kind()
    • galerkin.shift_jacobi()
    • galerkin.Q_poly()
    • galerkin.shift_arbitary_jacobi()
  • petrov_galerkin
    • petrov_galerkin.homogeneous_legendre()
    • petrov_galerkin.homogeneous_shift_legendre()
• projection module
  • coefficient
    • coefficient.legendre()
    • coefficient.shift_legendre()
    • coefficient.jacobi()
    • coefficient.shift_jacobi()
    • coefficient.shift_arbitary_jacobi()
    • coefficient.Q_poly()
  • expansion
    • expansion.legendre()
    • expansion.shift_legendre()
    • expansion.jacobi()
    • expansion.shift_jacobi()
    • expansion.shift_arbitary_jacobi()
    • expansion.Q_poly()
  • galerkin
    • galerkin.legendre()
    • galerkin.shift_legendre()
    • galerkin.jacobi()
    • galerkin.shift_jacobi()
    • galerkin.shift_arbitary_jacobi()
    • galerkin.Q_poly()
  • test
    • test.runge()
    • test.four()
    • test.homo_basis()
    • test.legendre()
    • test.shift_legendre()
    • test.shift_jacobi_arb()
• basis2D module
  • polynomials
    • polynomials.legendre()
    • polynomials.shift_legendre()
  • homogeneous_basis
    • homogeneous_basis.legendre()
    • homogeneous_basis.shift_legendre()
  • first_derivatives
    • first_derivatives.legendre()
    • first_derivatives.shift_legendre()
    • first_derivatives.homogenous_legendre_basis()
    • first_derivatives.homogenous_shift_legendre_basis()
  • test
    • test.legendre()
    • test.shifted_legendre()
    • test.legendre_homogenous_basis()
    • test.shift_legendre_homogenous_basis()
• quad2D module
  • quad_pts_weights
    • quad_pts_weights.legendre()
    • quad_pts_weights.shift_legendre()
    • quad_pts_weights.homogenous_legendre()
    • quad_pts_weights.homogenous_shift_legendre()
  • gauss_quad
    • gauss_quad.legendre()
    • gauss_quad.shift_legendre()
    • gauss_quad.homogenous_legendre()
    • gauss_quad.homogenous_shift_legendre()
  • test
    • test.gauss_legendre()
    • test.shift_gauss_legendre()
    • test.gauss_legendre_homogeous()
    • test.gauss_shift_legendre_homogeous()
• mass_matrix2D module
  • mass_matrix2D
    • mass_matrix2D.legendre()
    • mass_matrix2D.shift_legendre()
    • mass_matrix2D.homogenous_legendre()
    • mass_matrix2D.homogenous_shift_legendre()
  • test
    • test.legendre()
    • test.shift_legendre()
    • test.homogenous_legendre()
    • test.runge()
    • test.funx()
    • test.funy()
    • test.func()
    • test.legendre_proj()
    • test.legendre_proj_err()
    • test.shift_legendre_proj()
    • test.shift_legendre_proj_err()
    • test.homogenous_legendre_proj()
    • test.homogenous_legendre_proj_err()
    • test.homogenous_shift_legendre_proj()
    • test.homogenous_shift_legendre_proj_err()
    • test.proj_err()
• stiffness_matrix2D module
  • stiffness_matrix2D
    • stiffness_matrix2D.legendre()
    • stiffness_matrix2D.homogenous_legendre()
    • stiffness_matrix2D.homogenous_shift_legendre()
  • test
    • test.homogenous_legendre()
    • test.runge()
    • test.funx()
    • test.funy()
    • test.func()
    • test.der2funcX()
    • test.der2funcY()
    • test.laplacian_homogenous_legendre()
    • test.homogenous_legendre_proj_err()
    • test.laplacian_homogenous_shift_legendre()
    • test.homogenous_shift_legendre_proj_err()
    • test.proj_err()
• Sonin Kernel module
  • sonin
    • sonin.get_kappa_coeff()
    • sonin.verify_sonin()
    • sonin.verify_condition()
    • sonin.k_kernel()
    • sonin.kappa_kernel()
  • test
    • test.test_sonin()
    • test.plot_kernel()
• misc module
  • constant
    • constant.factorial()
    • constant.gamma_function()
    • constant.binomial_coefficient()
    • constant.jacobi_constant()
    • constant.beta_function()
    • constant.pochhammer()
    • constant.conv_othro_Qn_xk()
    • constant.conv_othro_Qn_Qm()
    • constant.conv_jacobi_Pm_Pn()
    • constant.convolution_othro_Qn_Qm()

Bugs tracking:

• Known Bugs list and TODO

Indices and tables

• Index

• Module Index

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