Calculate \(D_1^{m_1} D_2^{m_2} D_3^{m_3} X\) from \(D_1^{i_1} D_2^{i_2} D_3^{i_3} X\) and \(D_1^{j_1} D_2^{j_2} D_3^{j_3} Y\) where \(XY=1\) and \(i,j = 0\ldots m\), according to [17]. More...
Public Member Functions | |
| integer function | calc_inv_met_ind (X, Y, deriv) |
| individual matrix version More... | |
| integer function | calc_inv_met_arr (X, Y, deriv) |
| integer function | calc_inv_met_ind_0d (X, Y, deriv) |
| individual scalar version More... | |
| integer function | calc_inv_met_arr_0d (X, Y, deriv) |
Detailed Description
Calculate \(D_1^{m_1} D_2^{m_2} D_3^{m_3} X\) from \(D_1^{i_1} D_2^{i_2} D_3^{i_3} X\) and \(D_1^{j_1} D_2^{j_2} D_3^{j_3} Y\) where \(XY=1\) and \(i,j = 0\ldots m\), according to [17].
\(D_1^{m_1} D_2^{m_2} D_3^{m_3} \) is defined as \(\left(\frac{\partial}{\partial u^1}\right)^{m_1} \left(\frac{\partial}{\partial u^2}\right)^{m_2} \left(\frac{\partial}{\partial u^3}\right)^{m_3} \)
- Note
- It is assumed that the lower order derivatives have been calculated already. If not, the results will be incorrect.
- Returns
- ierr
Definition at line 61 of file eq_utilities.f90.
Member Function/Subroutine Documentation
◆ calc_inv_met_arr()
| integer function eq_utilities::calc_inv_met::calc_inv_met_arr | ( | real(dp), dimension(1:,1:,1:,1:,0:,0:,0:), intent(inout) | X, |
| real(dp), dimension(1:,1:,1:,1:,0:,0:,0:), intent(in) | Y, | ||
| integer, dimension(:,:), intent(in) | deriv | ||
| ) |
- Parameters
-
[in] deriv derivatives
Definition at line 322 of file eq_utilities.f90.
◆ calc_inv_met_arr_0d()
| integer function eq_utilities::calc_inv_met::calc_inv_met_arr_0d | ( | real(dp), dimension(1:,1:,1:,0:,0:,0:), intent(inout) | X, |
| real(dp), dimension(1:,1:,1:,0:,0:,0:), intent(in) | Y, | ||
| integer, dimension(:,:), intent(in) | deriv | ||
| ) |
- Parameters
-
[in] deriv derivatives
Definition at line 342 of file eq_utilities.f90.
◆ calc_inv_met_ind()
| integer function eq_utilities::calc_inv_met::calc_inv_met_ind | ( | real(dp), dimension(1:,1:,1:,1:,0:,0:,0:), intent(inout) | X, |
| real(dp), dimension(1:,1:,1:,1:,0:,0:,0:), intent(in) | Y, | ||
| integer, dimension(:), intent(in) | deriv | ||
| ) |
individual matrix version
- Parameters
-
[in] deriv derivatives
Definition at line 132 of file eq_utilities.f90.
Here is the call graph for this function:◆ calc_inv_met_ind_0d()
| integer function eq_utilities::calc_inv_met::calc_inv_met_ind_0d | ( | real(dp), dimension(1:,1:,1:,0:,0:,0:), intent(inout) | X, |
| real(dp), dimension(1:,1:,1:,0:,0:,0:), intent(in) | Y, | ||
| integer, dimension(:), intent(in) | deriv | ||
| ) |
individual scalar version
- Parameters
-
[in] deriv derivatives
Definition at line 261 of file eq_utilities.f90.
The documentation for this interface was generated from the following file:
- /opt/PB3D/Modules/eq_utilities.f90