Mercurial > octave-nkf

comparison doc/interpreter/diffeq.txi @ 10828:322f43e0e170

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
Grammarcheck .txi documentation files.
author Rik <octave@nomad.inbox5.com>
date Wed, 28 Jul 2010 12:45:04 -0700
parents 72585f1ca7a2
children fd0a3ac60b0e
comparison
equal deleted inserted replaced
10827:228cd18455a6 10828:322f43e0e170
48 dx 48 dx
49 -- = f (x, t) 49 -- = f (x, t)
50 dt 50 dt
51 @end group 51 @end group
52 @end example 52 @end example
53
53 @end ifnottex 54 @end ifnottex
54 55
55 @noindent 56 @noindent
56 using Hindmarsh's ODE solver @sc{lsode}. 57 using Hindmarsh's ODE solver @sc{lsode}.
57 58
120 @ifnottex 121 @ifnottex
121 122
122 @example 123 @example
123 0 = f (x-dot, x, t), x(t=0) = x_0, x-dot(t=0) = x-dot_0 124 0 = f (x-dot, x, t), x(t=0) = x_0, x-dot(t=0) = x-dot_0
124 @end example 125 @end example
126
125 @end ifnottex 127 @end ifnottex
126 128
127 @noindent 129 @noindent
128 where 130 where
129 @tex 131 @tex
131 @end tex 133 @end tex
132 @ifnottex 134 @ifnottex
133 @math{x-dot} 135 @math{x-dot}
134 @end ifnottex 136 @end ifnottex
135 is the derivative of @math{x}. The equation is solved using Petzold's 137 is the derivative of @math{x}. The equation is solved using Petzold's
136 DAE solver @sc{Daspk}. 138 DAE solver @sc{daspk}.
137 139
138 @DOCSTRING(daspk) 140 @DOCSTRING(daspk)
139 141
140 @DOCSTRING(daspk_options) 142 @DOCSTRING(daspk_options)
141 143
142 Octave also includes @sc{Dassl}, an earlier version of @var{Daspk}, 144 Octave also includes @sc{dassl}, an earlier version of @sc{daspk},
143 and @var{dasrt}, which can be used to solve DAEs with constraints 145 and @sc{dasrt}, which can be used to solve DAEs with constraints
144 (stopping conditions). 146 (stopping conditions).
145 147
146 @DOCSTRING(dassl) 148 @DOCSTRING(dassl)
147 149
148 @DOCSTRING(dassl_options) 150 @DOCSTRING(dassl_options)
151 153
152 @DOCSTRING(dasrt_options) 154 @DOCSTRING(dasrt_options)
153 155
154 See K. E. Brenan, et al., @cite{Numerical Solution of Initial-Value 156 See K. E. Brenan, et al., @cite{Numerical Solution of Initial-Value
155 Problems in Differential-Algebraic Equations}, North-Holland (1989) for 157 Problems in Differential-Algebraic Equations}, North-Holland (1989) for
156 more information about the implementation of @sc{Dassl}. 158 more information about the implementation of @sc{dassl}.