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(git:c5411e0)
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(git:c5411e0)
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A structure to store data needed for adaptive Simpson's rule algorithm. More...
Data Fields | |
| complex(kind=dp) | a |
| lower and upper boundaries of the curve on the complex plane | |
| complex(kind=dp) | b |
| integer | shape_id |
| ID number which determines the shape of a curve along which the integral will be evaluated. | |
| real(kind=dp) | conv |
| target accuracy | |
| real(kind=dp) | error |
| estimated error value on the entire integration interval, as well as on converged sub-intervals only | |
| real(kind=dp) | error_conv |
| type(cp_cfm_type), pointer | integral |
| the estimated value of the integral on the entire interval | |
| type(cp_cfm_type), pointer | integral_conv |
| work matrix to store the contribution to the integral on converged sub-intervals | |
| type(cp_cfm_type), pointer | integral_abc |
| work matrices which stores approximated integral computed by using a/b/c, c/d/e, and a/c/e points respectively | |
| type(cp_cfm_type), pointer | integral_cde |
| type(cp_cfm_type), pointer | integral_ace |
| type(cp_fm_type), pointer | error_fm |
| work matrix to temporarily store error estimate of the integral on a sub-interval for every matrix element | |
| type(cp_fm_type), pointer | weights |
| weights associated with matrix elements; the final error is computed as Trace(error_fm * weights) | |
| type(simpsonrule_subinterval_type), dimension(:), allocatable | subintervals |
| real(kind=dp), dimension(:), allocatable | tnodes |
| complete list of nodes over the normalised interval [-1 .. 1] needed to restart Useful when a series of similar integrals need to be computed at an identical set of points, so intermediate quantities can be saved and reused. | |
A structure to store data needed for adaptive Simpson's rule algorithm.
Definition at line 69 of file negf_integr_simpson.F.
| complex(kind=dp) negf_integr_simpson::simpsonrule_type::a |
lower and upper boundaries of the curve on the complex plane
Definition at line 71 of file negf_integr_simpson.F.
| complex(kind=dp) negf_integr_simpson::simpsonrule_type::b |
Definition at line 71 of file negf_integr_simpson.F.
| integer negf_integr_simpson::simpsonrule_type::shape_id |
ID number which determines the shape of a curve along which the integral will be evaluated.
Definition at line 73 of file negf_integr_simpson.F.
| real(kind=dp) negf_integr_simpson::simpsonrule_type::conv |
target accuracy
Definition at line 75 of file negf_integr_simpson.F.
| real(kind=dp) negf_integr_simpson::simpsonrule_type::error |
estimated error value on the entire integration interval, as well as on converged sub-intervals only
Definition at line 78 of file negf_integr_simpson.F.
| real(kind=dp) negf_integr_simpson::simpsonrule_type::error_conv |
Definition at line 78 of file negf_integr_simpson.F.
| type(cp_cfm_type), pointer negf_integr_simpson::simpsonrule_type::integral |
the estimated value of the integral on the entire interval
Definition at line 80 of file negf_integr_simpson.F.
| type(cp_cfm_type), pointer negf_integr_simpson::simpsonrule_type::integral_conv |
work matrix to store the contribution to the integral on converged sub-intervals
Definition at line 82 of file negf_integr_simpson.F.
| type(cp_cfm_type), pointer negf_integr_simpson::simpsonrule_type::integral_abc |
work matrices which stores approximated integral computed by using a/b/c, c/d/e, and a/c/e points respectively
Definition at line 84 of file negf_integr_simpson.F.
| type(cp_cfm_type), pointer negf_integr_simpson::simpsonrule_type::integral_cde |
Definition at line 84 of file negf_integr_simpson.F.
| type(cp_cfm_type), pointer negf_integr_simpson::simpsonrule_type::integral_ace |
Definition at line 84 of file negf_integr_simpson.F.
| type(cp_fm_type), pointer negf_integr_simpson::simpsonrule_type::error_fm |
work matrix to temporarily store error estimate of the integral on a sub-interval for every matrix element
Definition at line 86 of file negf_integr_simpson.F.
| type(cp_fm_type), pointer negf_integr_simpson::simpsonrule_type::weights |
weights associated with matrix elements; the final error is computed as Trace(error_fm * weights)
Definition at line 88 of file negf_integr_simpson.F.
| type(simpsonrule_subinterval_type), dimension(:), allocatable negf_integr_simpson::simpsonrule_type::subintervals |
Definition at line 90 of file negf_integr_simpson.F.
| real(kind=dp), dimension(:), allocatable negf_integr_simpson::simpsonrule_type::tnodes |
complete list of nodes over the normalised interval [-1 .. 1] needed to restart Useful when a series of similar integrals need to be computed at an identical set of points, so intermediate quantities can be saved and reused.
Definition at line 95 of file negf_integr_simpson.F.
1.9.8