Mercurial > hg > octave-lojdl
comparison doc/liboctave/quad.texi @ 2333:b1a56412c385
[project @ 1996-07-19 02:20:16 by jwe]
Initial revision
| author | jwe |
|---|---|
| date | Fri, 19 Jul 1996 02:26:23 +0000 |
| parents | |
| children | bdb1346e0f7f |
comparison
equal
deleted
inserted
replaced
| 2332:98d0771f7484 | 2333:b1a56412c385 |
|---|---|
| 1 @node Quadrature, Ordinary Differential Equations, Objective Functions, Top | |
| 2 @chapter Quadrature | |
| 3 @cindex quadrature | |
| 4 @cindex numerical integration | |
| 5 @cindex integration | |
| 6 | |
| 7 @deftypefn {} {}Quad (integrand_fcn @var{fcn}) | |
| 8 @deftypefnx {} {}Quad (integrand_fcn @var{fcn}, double @var{abs}, double @var{rel}) | |
| 9 @end deftypefn | |
| 10 | |
| 11 @deftypefn {} {virtual double} integrate (void) | |
| 12 @deftypefnx {} {virtual double} integrate (int &@var{ier}) | |
| 13 @deftypefnx {} {virtual double} integrate (int &@var{ier}, int &@var{neval}) | |
| 14 @deftypefnx {} {virtual double} integrate (int &@var{ier}, int &@var{neval}, double &@var{abserr}) = 0 | |
| 15 @end deftypefn | |
| 16 | |
| 17 @deftypefn {} Quad_options (void) | |
| 18 @deftypefnx {} Quad_options (const Quad_options &@var{opt}) | |
| 19 @end deftypefn | |
| 20 | |
| 21 @deftypefn {} Quad_options& {operator =} (const Quad_options &@var{opt}) | |
| 22 @end deftypefn | |
| 23 | |
| 24 @deftypefn {} void init (void) | |
| 25 @end deftypefn | |
| 26 | |
| 27 @deftypefn {} void copy (const Quad_options &@var{opt}) | |
| 28 @end deftypefn | |
| 29 | |
| 30 @deftypefn {} void set_default_options (void) | |
| 31 @end deftypefn | |
| 32 | |
| 33 @deftypefn {} void set_absolute_tolerance (double @var{val}) | |
| 34 @end deftypefn | |
| 35 | |
| 36 @deftypefn {} void set_relative_tolerance (double @var{val}) | |
| 37 @end deftypefn | |
| 38 | |
| 39 @deftypefn {} double absolute_tolerance (void) | |
| 40 @deftypefnx {} double relative_tolerance (void) | |
| 41 @end deftypefn | |
| 42 | |
| 43 @deftypefn {} {}DefQuad (integrand_fcn @var{fcn}) | |
| 44 @deftypefnx {} {}DefQuad (integrand_fcn @var{fcn}, double @var{ll}, double @var{ul}) | |
| 45 @deftypefnx {} {}DefQuad (integrand_fcn @var{fcn}, double @var{ll}, double @var{ul}, double @var{abs}, double @var{rel}) | |
| 46 @deftypefnx {} {}DefQuad (integrand_fcn @var{fcn}, double @var{ll}, double @var{ul}, const ColumnVector &@var{sing}) | |
| 47 @deftypefnx {} {}DefQuad (integrand_fcn @var{fcn}, const ColumnVector &@var{sing}, double @var{abs}, double @var{rel}) | |
| 48 @deftypefnx {} {}DefQuad (integrand_fcn @var{fcn}, const ColumnVector &@var{sing}) | |
| 49 @deftypefnx {} {}DefQuad (integrand_fcn @var{fcn}, double @var{ll}, double @var{ul}, const ColumnVector &@var{sing}, double @var{abs}, double @var{rel}) | |
| 50 @end deftypefn | |
| 51 | |
| 52 @deftypefn {} {}IndefQuad (integrand_fcn @var{fcn}) | |
| 53 @deftypefnx {} {}IndefQuad (integrand_fcn @var{fcn}, double @var{b}, IntegralType @var{t}) | |
| 54 @deftypefnx {} {}IndefQuad (integrand_fcn @var{fcn}, double @var{b}, IntegralType @var{t}, double @var{abs}, double @var{rel}) | |
| 55 @deftypefnx {} {}IndefQuad (integrand_fcn @var{fcn}, double @var{abs}, double @var{rel}) | |
| 56 @end deftypefn | |
| 57 | |
| 58 @node Collocation Weights, , Quadrature | |
| 59 @chapter Collocation Weights | |
| 60 @cindex orthogonal collocation | |
| 61 @cindex collocation weights | |
| 62 | |
| 63 @deftypefn {} {}CollocWt (void) | |
| 64 @deftypefnx {} {}CollocWt (int @var{n}, int @var{inc_l}, int @var{inc_r}) | |
| 65 @deftypefnx {} {}CollocWt (int @var{n}, int @var{inc_l}, int @var{inc_r}, double @var{l}, double @var{r}) | |
| 66 @deftypefnx {} {}CollocWt (int @var{n}, double @var{a}, double @var{b}, int @var{inc_l}, int @var{inc_r}) | |
| 67 @deftypefnx {} {}CollocWt (int @var{n}, int @var{inc_l}, int @var{inc_r}, double @var{l}, double @var{r}) | |
| 68 @deftypefnx {} {}CollocWt (const CollocWt&) | |
| 69 @end deftypefn | |
| 70 | |
| 71 @deftypefn {} CollocWt& {operator =} (const CollocWt&) | |
| 72 @end deftypefn | |
| 73 | |
| 74 @deftypefn {} CollocWt& resize (int @var{ncol}) | |
| 75 @end deftypefn | |
| 76 | |
| 77 @deftypefn {} CollocWt& add_left (void) | |
| 78 @deftypefnx {} CollocWt& add_right (void) | |
| 79 @end deftypefn | |
| 80 | |
| 81 @deftypefn {} CollocWt& delete_left (void) | |
| 82 @deftypefnx {} CollocWt& delete_right (void) | |
| 83 @end deftypefn | |
| 84 | |
| 85 @deftypefn {} CollocWt& set_left (double @var{val}) | |
| 86 @deftypefnx {} CollocWt& set_right (double @var{val}) | |
| 87 @end deftypefn | |
| 88 | |
| 89 @deftypefn {} CollocWt& set_alpha (double @var{val}) | |
| 90 @deftypefnx {} CollocWt& set_beta (double @var{val}) | |
| 91 @end deftypefn | |
| 92 | |
| 93 @deftypefn {} int ncol (void) const | |
| 94 @end deftypefn | |
| 95 | |
| 96 @deftypefn {} int left_included (void) const | |
| 97 @deftypefnx {} int right_included (void) const | |
| 98 @end deftypefn | |
| 99 | |
| 100 @deftypefn {} double left (void) const | |
| 101 @deftypefnx {} double right (void) const | |
| 102 @deftypefnx {} double width (void) const | |
| 103 @end deftypefn | |
| 104 | |
| 105 @deftypefn {} double alpha (void) const | |
| 106 @deftypefnx {} double beta (void) const | |
| 107 @end deftypefn | |
| 108 | |
| 109 @deftypefn {} ColumnVector roots (void) | |
| 110 @deftypefnx {} ColumnVector quad (void) | |
| 111 @deftypefnx {} ColumnVector quad_weights (void) | |
| 112 @end deftypefn | |
| 113 | |
| 114 @deftypefn {} Matrix first (void) | |
| 115 @deftypefnx {} Matrix second (void) | |
| 116 @end deftypefn | |
| 117 | |
| 118 @deftypefn {} {ostream&} {operator <<} (ostream &@var{os}, const CollocWt &@var{c}) | |
| 119 @end deftypefn |