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RFOF - RF Library for Orbit Following Codes
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RFOF - RF Library for Orbit Following Codes
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Generic numerical solvers. More...
Public Member Functions | |
| subroutine | Ridders_derivative (FCN, x, h, rel_tol, err, fprim) |
| subroutine Ridders_derivative(FCN, x, h, err, fprim) | |
| subroutine | polycoef_3points (t, x, coef, error) |
| subroutine | solve_quadratic_polynomial_real_roots (coef, root1, root2, Nsolutions) |
| real(8) function | eval_quadratic_polynomial (coef, t) |
| real(8) function | eval_derivative_of_quadratic_polynomial (coef, t) |
| real(8) function | AIRY_SPECIAL_ARG (PX) |
| real(8) function | BESSELJ (N, X) |
| REAL(8) function | BESSELJ0 (X) |
| REAL(8) function | BESSELJ1 (X) |
| subroutine | add_to_sorted_list_3columns (list, nelements, t, x, y) |
| subroutine | test_list () |
Generic numerical solvers.
Definition at line 10 of file RFOF_numerics.F90.
| subroutine RFOF_numerics::Ridders_derivative | ( | FCN, | |
| real(8), intent(in) | x, | ||
| real(8), intent(in) | h, | ||
| real(8), intent(in) | rel_tol, | ||
| real(8), intent(out) | err, | ||
| real(8), intent(out) | fprim | ||
| ) |
subroutine Ridders_derivative(FCN, x, h, err, fprim)
Returns the derivative of a function func at a point x by Ridders’ method of polynomial extrapolation. The value h is input as an estimated initial stepsize; it need not be small, but rather should be an increment in x over which func changes substantially. An estimate of the error in the derivative is returned as err. Stepsize is decreased by CON at each iteration. Sets maximum size of tableau. Return when error is SAFE worse than the best so far.
Definition at line 82 of file RFOF_numerics.F90.
| subroutine RFOF_numerics::polycoef_3points | ( | real(8), dimension(3), intent(in) | t, |
| real(8), dimension(3), intent(in) | x, | ||
| real(8), dimension(3), intent(out) | coef, | ||
| integer, intent(out) | error | ||
| ) |
Definition at line 162 of file RFOF_numerics.F90.
| subroutine RFOF_numerics::solve_quadratic_polynomial_real_roots | ( | real(8), dimension(3), intent(in) | coef, |
| real(8), intent(out) | root1, | ||
| real(8), intent(out) | root2, | ||
| integer, intent(out) | Nsolutions | ||
| ) |
Definition at line 208 of file RFOF_numerics.F90.
| real(8) function RFOF_numerics::eval_quadratic_polynomial | ( | real(8), dimension(3), intent(in) | coef, |
| real(8), intent(in) | t | ||
| ) |
Definition at line 252 of file RFOF_numerics.F90.
| real(8) function RFOF_numerics::eval_derivative_of_quadratic_polynomial | ( | real(8), dimension(3), intent(in) | coef, |
| real(8), intent(in) | t | ||
| ) |
Definition at line 270 of file RFOF_numerics.F90.
| real(8) function RFOF_numerics::AIRY_SPECIAL_ARG | ( | real(8), intent(in) | PX | ) |
Definition at line 292 of file RFOF_numerics.F90.
| real(8) function RFOF_numerics::BESSELJ | ( | integer, intent(in) | N, |
| real(8), intent(in) | X | ||
| ) |
Definition at line 463 of file RFOF_numerics.F90.
| REAL(8) function RFOF_numerics::BESSELJ0 | ( | REAL(8) | X | ) |
Definition at line 536 of file RFOF_numerics.F90.
| REAL(8) function RFOF_numerics::BESSELJ1 | ( | REAL(8) | X | ) |
Definition at line 587 of file RFOF_numerics.F90.
| subroutine RFOF_numerics::add_to_sorted_list_3columns | ( | real(8), dimension(:,:), intent(inout), pointer | list, |
| integer, intent(inout) | nelements, | ||
| real(8), intent(in) | t, | ||
| real(8), intent(in) | x, | ||
| real(8), intent(in) | y | ||
| ) |
Definition at line 640 of file RFOF_numerics.F90.
| subroutine RFOF_numerics::test_list | ( | ) |
Definition at line 679 of file RFOF_numerics.F90.
