Mercurial > hg > octave-nkf
annotate doc/liboctave/ode.texi @ 20811:a22d8a2eb0e5
fix adaptive strategy in ode solvers.
* script/ode/ode45.m: remove unused option OutputSave
* script/ode/private/integrate_adaptive.m: rewrite algorithm
to be more compatible.
* script/ode/private/runge_kutta_45_dorpri.m: use kahan summation
for time increment.
| author | Carlo de Falco <carlo.defalco@polimi.it> |
|---|---|
| date | Sun, 11 Oct 2015 18:44:58 +0200 |
| parents | 4197fc428c7d |
| children |
| rev | line source |
|---|---|
|
19898
4197fc428c7d
maint: Update copyright notices for 2015.
John W. Eaton <jwe@octave.org>
parents:
19790
diff
changeset
|
1 @c Copyright (C) 1996-2015 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. | |
|
19790
446c46af4b42
strip trailing whitespace from most source files
John W. Eaton <jwe@octave.org>
parents:
17744
diff
changeset
|
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. | |
|
19790
446c46af4b42
strip trailing whitespace from most source files
John W. Eaton <jwe@octave.org>
parents:
17744
diff
changeset
|
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 | |
| 2333 | 19 @node Ordinary Differential Equations, Differential Algebraic Equations, Nonlinear Equations, Top |
| 20 @chapter Ordinary Differential Equations | |
| 21 @cindex ODE | |
| 22 | |
| 23 @deftypefn {} {}ODE_options (void) | |
| 24 @deftypefnx {} {}ODE_options (const ODE_options &@var{opt}) | |
| 25 @end deftypefn | |
| 26 | |
| 27 @deftypefn {} ODE_options& {operator =} (const ODE_options &@var{opt}) | |
| 28 @end deftypefn | |
| 29 | |
| 30 @deftypefn {} void init (void) | |
| 31 @end deftypefn | |
| 32 | |
| 33 @deftypefn {} void copy (const ODE_options &@var{opt}) | |
| 34 @end deftypefn | |
| 35 | |
| 36 @deftypefn {} void set_default_options (void) | |
| 37 @end deftypefn | |
| 38 | |
| 39 @deftypefn {} void set_absolute_tolerance (double @var{val}) | |
| 40 @end deftypefn | |
| 41 | |
| 42 @deftypefn {} void set_initial_step_size (double @var{val}) | |
| 43 @end deftypefn | |
| 44 | |
| 45 @deftypefn {} void set_maximum_step_size (double @var{val}) | |
| 46 @end deftypefn | |
| 47 | |
| 48 @deftypefn {} void set_minimum_step_size (double @var{val}) | |
| 49 @end deftypefn | |
| 50 | |
| 51 @deftypefn {} void set_relative_tolerance (double @var{val}) | |
| 52 @end deftypefn | |
| 53 | |
| 54 @deftypefn {} double absolute_tolerance (void) | |
| 55 @deftypefnx {} double initial_step_size (void) | |
| 56 @deftypefnx {} double maximum_step_size (void) | |
| 57 @deftypefnx {} double minimum_step_size (void) | |
| 58 @deftypefnx {} double relative_tolerance (void) | |
| 59 @end deftypefn | |
| 60 | |
| 61 @deftypefn {} {}ODE (void) | |
| 62 @deftypefnx {} {}ODE (int @var{n}) | |
| 63 @deftypefnx {} {}ODE (const ColumnVector &@var{state}, double @var{time}, const ODEFunc &@var{f}) | |
| 64 @end deftypefn | |
| 65 | |
| 66 @deftypefn {} {virtual int} size (void) const | |
| 67 @end deftypefn | |
| 68 | |
| 69 @deftypefn {} {virtual ColumnVector} state (void) const | |
| 70 @end deftypefn | |
| 71 | |
| 72 @deftypefn {} {virtual double} time (void) const | |
| 73 @end deftypefn | |
| 74 | |
| 75 @deftypefn {} {virtual void} force_restart (void) | |
| 76 @end deftypefn | |
| 77 | |
| 78 @deftypefn {} {virtual void} initialize (const ColumnVector &@var{x}, double @var{t}) | |
| 79 @end deftypefn | |
| 80 | |
| 81 @deftypefn {} {virtual void} set_stop_time (double @var{t}) | |
| 82 @end deftypefn | |
| 83 | |
| 84 @deftypefn {} {virtual void} clear_stop_time (void) | |
| 85 @end deftypefn | |
| 86 | |
| 87 @deftypefn {} {virtual ColumnVector} integrate (double @var{t}) | |
| 88 @end deftypefn | |
| 89 | |
| 90 @deftypefn {} void integrate (int @var{nsteps}, double @var{tstep}, ostream &@var{s}) | |
| 91 @end deftypefn | |
| 92 | |
| 93 @deftypefn {} Matrix integrate (const ColumnVector &@var{tout}) | |
| 94 @deftypefnx {} Matrix integrate (const ColumnVector &@var{tout}, const ColumnVector &@var{tcrit}) | |
| 95 @end deftypefn |