Mercurial > hg > octave-nkf
annotate doc/liboctave/quad.texi @ 19822:2f4406e9dad6
maint: Periodic merge of gui-release to default.
| author | John W. Eaton <jwe@octave.org> |
|---|---|
| date | Fri, 23 Jan 2015 16:40:25 -0500 |
| parents | 446c46af4b42 |
| children | 4197fc428c7d |
| rev | line source |
|---|---|
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maint: Update copyright notices for release.
John W. Eaton <jwe@octave.org>
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changeset
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1 @c Copyright (C) 1996-2013 John W. Eaton |
| 7018 | 2 @c |
| 3 @c This file is part of Octave. | |
| 4 @c | |
| 5 @c Octave is free software; you can redistribute it and/or modify it | |
| 6 @c under the terms of the GNU General Public License as published by the | |
| 7 @c Free Software Foundation; either version 3 of the License, or (at | |
| 8 @c your option) any later version. | |
|
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9 @c |
| 7018 | 10 @c Octave is distributed in the hope that it will be useful, but WITHOUT |
| 11 @c ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
| 12 @c FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
| 13 @c for more details. | |
|
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John W. Eaton <jwe@octave.org>
parents:
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changeset
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14 @c |
| 7018 | 15 @c You should have received a copy of the GNU General Public License |
| 16 @c along with Octave; see the file COPYING. If not, see | |
| 17 @c <http://www.gnu.org/licenses/>. | |
| 18 | |
| 2657 | 19 @node Quadrature, Ordinary Differential Equations, Optimization, Top |
| 2333 | 20 @chapter Quadrature |
| 21 @cindex quadrature | |
| 22 @cindex numerical integration | |
| 23 @cindex integration | |
| 24 | |
| 5647 | 25 @deftypefn {} {} Quad (integrand_fcn @var{fcn}) |
| 26 @deftypefnx {} {} Quad (integrand_fcn @var{fcn}, double @var{abs}, double @var{rel}) | |
| 2333 | 27 @end deftypefn |
| 28 | |
| 29 @deftypefn {} {virtual double} integrate (void) | |
| 30 @deftypefnx {} {virtual double} integrate (int &@var{ier}) | |
| 31 @deftypefnx {} {virtual double} integrate (int &@var{ier}, int &@var{neval}) | |
| 32 @deftypefnx {} {virtual double} integrate (int &@var{ier}, int &@var{neval}, double &@var{abserr}) = 0 | |
| 33 @end deftypefn | |
| 34 | |
| 5647 | 35 @deftypefn {} {} Quad_options (void) |
| 36 @deftypefnx {} {} Quad_options (const Quad_options &@var{opt}) | |
| 2333 | 37 @end deftypefn |
| 38 | |
| 39 @deftypefn {} Quad_options& {operator =} (const Quad_options &@var{opt}) | |
| 40 @end deftypefn | |
| 41 | |
| 42 @deftypefn {} void init (void) | |
| 43 @end deftypefn | |
| 44 | |
| 45 @deftypefn {} void copy (const Quad_options &@var{opt}) | |
| 46 @end deftypefn | |
| 47 | |
| 48 @deftypefn {} void set_default_options (void) | |
| 49 @end deftypefn | |
| 50 | |
| 51 @deftypefn {} void set_absolute_tolerance (double @var{val}) | |
| 52 @end deftypefn | |
| 53 | |
| 54 @deftypefn {} void set_relative_tolerance (double @var{val}) | |
| 55 @end deftypefn | |
| 56 | |
| 57 @deftypefn {} double absolute_tolerance (void) | |
| 58 @deftypefnx {} double relative_tolerance (void) | |
| 59 @end deftypefn | |
| 60 | |
| 5647 | 61 @deftypefn {} {} DefQuad (integrand_fcn @var{fcn}) |
| 62 @deftypefnx {} {} DefQuad (integrand_fcn @var{fcn}, double @var{ll}, double @var{ul}) | |
| 63 @deftypefnx {} {} DefQuad (integrand_fcn @var{fcn}, double @var{ll}, double @var{ul}, double @var{abs}, double @var{rel}) | |
| 64 @deftypefnx {} {} DefQuad (integrand_fcn @var{fcn}, double @var{ll}, double @var{ul}, const ColumnVector &@var{sing}) | |
| 65 @deftypefnx {} {} DefQuad (integrand_fcn @var{fcn}, const ColumnVector &@var{sing}, double @var{abs}, double @var{rel}) | |
| 66 @deftypefnx {} {} DefQuad (integrand_fcn @var{fcn}, const ColumnVector &@var{sing}) | |
| 67 @deftypefnx {} {} DefQuad (integrand_fcn @var{fcn}, double @var{ll}, double @var{ul}, const ColumnVector &@var{sing}, double @var{abs}, double @var{rel}) | |
| 2333 | 68 @end deftypefn |
| 69 | |
| 5647 | 70 @deftypefn {} {} IndefQuad (integrand_fcn @var{fcn}) |
| 71 @deftypefnx {} {} IndefQuad (integrand_fcn @var{fcn}, double @var{b}, IntegralType @var{t}) | |
| 72 @deftypefnx {} {} IndefQuad (integrand_fcn @var{fcn}, double @var{b}, IntegralType @var{t}, double @var{abs}, double @var{rel}) | |
| 73 @deftypefnx {} {} IndefQuad (integrand_fcn @var{fcn}, double @var{abs}, double @var{rel}) | |
| 2333 | 74 @end deftypefn |
| 75 | |
| 2657 | 76 @menu |
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parents:
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diff
changeset
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77 * Collocation Weights:: |
| 2657 | 78 @end menu |
| 79 | |
| 80 @node Collocation Weights, , Quadrature, Quadrature | |
| 2656 | 81 @section Collocation Weights |
| 2333 | 82 @cindex orthogonal collocation |
| 83 @cindex collocation weights | |
| 84 | |
| 5647 | 85 @deftypefn {} {} CollocWt (void) |
| 86 @deftypefnx {} {} CollocWt (int @var{n}, int @var{inc_l}, int @var{inc_r}) | |
| 87 @deftypefnx {} {} CollocWt (int @var{n}, int @var{inc_l}, int @var{inc_r}, double @var{l}, double @var{r}) | |
| 88 @deftypefnx {} {} CollocWt (int @var{n}, double @var{a}, double @var{b}, int @var{inc_l}, int @var{inc_r}) | |
| 89 @deftypefnx {} {} CollocWt (int @var{n}, int @var{inc_l}, int @var{inc_r}, double @var{l}, double @var{r}) | |
| 90 @deftypefnx {} {} CollocWt (const CollocWt&) | |
| 2333 | 91 @end deftypefn |
| 92 | |
| 93 @deftypefn {} CollocWt& {operator =} (const CollocWt&) | |
| 94 @end deftypefn | |
| 95 | |
| 96 @deftypefn {} CollocWt& resize (int @var{ncol}) | |
| 97 @end deftypefn | |
| 98 | |
| 99 @deftypefn {} CollocWt& add_left (void) | |
| 100 @deftypefnx {} CollocWt& add_right (void) | |
| 101 @end deftypefn | |
| 102 | |
| 103 @deftypefn {} CollocWt& delete_left (void) | |
| 104 @deftypefnx {} CollocWt& delete_right (void) | |
| 105 @end deftypefn | |
| 106 | |
| 107 @deftypefn {} CollocWt& set_left (double @var{val}) | |
| 108 @deftypefnx {} CollocWt& set_right (double @var{val}) | |
| 109 @end deftypefn | |
| 110 | |
| 111 @deftypefn {} CollocWt& set_alpha (double @var{val}) | |
| 112 @deftypefnx {} CollocWt& set_beta (double @var{val}) | |
| 113 @end deftypefn | |
| 114 | |
| 115 @deftypefn {} int ncol (void) const | |
| 116 @end deftypefn | |
| 117 | |
| 118 @deftypefn {} int left_included (void) const | |
| 119 @deftypefnx {} int right_included (void) const | |
| 120 @end deftypefn | |
| 121 | |
| 122 @deftypefn {} double left (void) const | |
| 123 @deftypefnx {} double right (void) const | |
| 124 @deftypefnx {} double width (void) const | |
| 125 @end deftypefn | |
| 126 | |
| 127 @deftypefn {} double alpha (void) const | |
| 128 @deftypefnx {} double beta (void) const | |
| 129 @end deftypefn | |
| 130 | |
| 131 @deftypefn {} ColumnVector roots (void) | |
| 132 @deftypefnx {} ColumnVector quad (void) | |
| 133 @deftypefnx {} ColumnVector quad_weights (void) | |
| 134 @end deftypefn | |
| 135 | |
| 136 @deftypefn {} Matrix first (void) | |
| 137 @deftypefnx {} Matrix second (void) | |
| 138 @end deftypefn | |
| 139 | |
| 140 @deftypefn {} {ostream&} {operator <<} (ostream &@var{os}, const CollocWt &@var{c}) | |
| 141 @end deftypefn |