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1 [/============================================================================
2 Boost.odeint
3
4 Copyright 2009-2012 Karsten Ahnert
5 Copyright 2011-2013 Mario Mulansky
6 Copyright 2012 Sylwester Arabas
7 Copyright 2013 Pascal Germroth
8
9 Use, modification and distribution is subject to the Boost Software License,
10 Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
11 http://www.boost.org/LICENSE_1_0.txt)
12 =============================================================================/]
13
14
15
16 [library Boost.Numeric.Odeint
17 [quickbook 1.5]
18 [id odeint]
19 [dirname odeint]
20 [authors [Ahnert, Karsten], [Mulansky, Mario]]
21 [copyright 2009-2015 Karsten Ahnert and Mario Mulansky]
22 [category math]
23 [purpose
24 Numerical integration of ordinary differential equations.
25 ]
26 [license
27 Distributed under the Boost Software License, Version 1.0.
28 (See accompanying file LICENSE_1_0.txt or copy
29 at [@http://www.boost.org/LICENSE_1_0.txt])
30 ]
31 ]
32
33 [include auto_index_helpers.qbk]
34
35
36
37 [def __boost_lambda
38 [@http://www.boost.org/doc/libs/release/libs/lambda/ Boost.Lambda]]
39 [def __boost_phoenix
40 [@http://www.boost.org/doc/libs/release/libs/phoenix/ Boost.Phoenix]]
41 [def __boost_operators
42 [@http://www.boost.org/doc/libs/release/libs/utility/operators.htm Boost.Operators]]
43 [def __boost_ref
44 [@http://www.boost.org/doc/libs/release/libs/bind/ref.html Boost.Ref]]
45 [def __boost_range
46 [@http://www.boost.org/doc/libs/release/libs/range/ Boost.Range]]
47 [def __boost_units
48 [@http://www.boost.org/doc/libs/release/libs/units/ Boost.Units]]
49 [def __boost_fusion
50 [@http://www.boost.org/doc/libs/release/libs/fusion/ Boost.Fusion]]
51 [def __boost_graph
52 [@http://www.boost.org/doc/libs/release/libs/graph/ Boost.Graph]]
53 [def __boost_multiprecision
54 [@http://www.boost.org/doc/libs/release/libs/multiprecision/ Boost.Multiprecision]]
55 [def __boost_mpi
56 [@http://www.boost.org/doc/libs/release/libs/mpi/ Boost.MPI]]
57
58 [def __thrust
59 [@http://code.google.com/p/thrust/ Thrust]]
60 [def __ublas
61 [@http://www.boost.org/doc/libs/release/libs/numeric/ublas/index.html Boost.uBLAS]]
62 [def __intel_mkl
63 [@http://software.intel.com/en-us/articles/intel-mkl/ Intel Math Kernel Library]]
64 [def __gsl
65 [@http://www.gsl.org GSL]]
66 [def __vexcl
67 [@https://github.com/ddemidov/vexcl VexCL]]
68
69 [def __concepts
70 [link boost_numeric_odeint.concepts Concepts]]
71 [def __system
72 [link boost_numeric_odeint.concepts.system System]]
73 [def __symplectic_system
74 [link boost_numeric_odeint.concepts.symplectic_system Symplectic System]]
75 [def __simple_symplectic_system
76 [link boost_numeric_odeint.concepts.simple_symplectic_system Simple Symplectic System]]
77 [def __implicit_system
78 [link boost_numeric_odeint.concepts.implicit_system Implicit System]]
79 [def __second_order_system
80 [link boost_numeric_odeint.concepts.second_order_system Second Order System]]
81 [def __stepper
82 [link boost_numeric_odeint.concepts.stepper Stepper]]
83 [def __error_stepper
84 [link boost_numeric_odeint.concepts.error_stepper Error Stepper]]
85 [def __controlled_stepper
86 [link boost_numeric_odeint.concepts.controlled_stepper Controlled Stepper]]
87 [def __dense_output_stepper
88 [link boost_numeric_odeint.concepts.dense_output_stepper Dense Output Stepper]]
89 [def __integrate_functions
90 [link boost_numeric_odeint.odeint_in_detail.integrate_functions integrate functions]]
91 [def __tutorial
92 [link boost_numeric_odeint.tutorial Tutorial]]
93 [def __tut_solar_system
94 [link boost_numeric_odeint.tutorial.solar_system Solar System]]
95 [def __tut_chaotic_system
96 [link boost_numeric_odeint.tutorial.chaotic_systems_and_lyapunov_exponents Chaotic System]]
97 [def __tut_harmonic_oscillator
98 [link boost_numeric_odeint.tutorial.harmonic_oscillator Harmonic Oscillator]]
99 [def __using_steppers
100 [link boost_numeric_odeint.odeint_in_detail.steppers.using_steppers Using steppers]]
101 [def __generation_functions
102 [link boost_numeric_odeint.odeint_in_detail.generation_functions Generation functions]]
103 [def __adapt_state_types
104 [link boost_numeric_odeint.odeint_in_detail.state_types__algebras_and_operations Adapt your own state types]]
105 [def __resizing_lattice_example
106 [link boost_numeric_odeint.tutorial.self_expanding_lattices Self expanding lattices]]
107 [def __odeint_stepper_table
108 [link boost_numeric_odeint.odeint_in_detail.steppers.stepper_overview Stepper overview]]
109
110
111
112 [def __nr_ref [link numerical_recipies \[1\] ]]
113 [def __hairer_1_ref [link hairer_solving_odes_1 \[2\] ]]
114 [def __hairer_2_ref [link hairer_solving_odes_2 \[3\] ]]
115 [def __hairer_geom_ref [link hairer_geometrical_numeric_integration \[4\] ]]
116 [def __leimkuhler_reich_ref [link leimkuhler_reich_simulating_hamiltonian_dynamics \[5\] ]]
117 [def __symplectic_integrator_1_ref [link symplectic_yoshida_symplectic_integrators \[6\] ]]
118 [def __symplectic_integrator_2_ref [link symplectic_mylachlan_symmetric_composition_mehtods \[7\] ]]
119 [def __fpu_scholarpedia_ref [link fpu_scholarpedia \[8\] ]]
120 [def __synchronization_pikovsky_ref [link synchronization_pikovsky_rosenblum \[9\] ]]
121
122
123
124
125
126 [def __alpha '''α''']
127 [def __Alpha '''Α''']
128 [def __beta '''β''']
129 [def __Beta '''Β''']
130 [def __gamma '''γ''']
131 [def __Gamma '''Γ''']
132 [def __delta '''δ''']
133 [def __Delta '''Δ''']
134 [def __epsilon '''ε''']
135 [def __Epsilon '''Ε''']
136 [def __zeta '''ζ''']
137 [def __Zeta '''Ζ''']
138 [def __eta '''η''']
139 [def __Eta '''Η''']
140 [def __theta '''θ''']
141 [def __Theta '''Θ''']
142 [def __iota '''ι''']
143 [def __Iota '''Ι''']
144 [def __kappa '''κ''']
145 [def __Kappa '''Κ''']
146 [def __lambda '''λ'''][/lower case]
147 [def __Lambda '''Λ'''][/upper case]
148 [def __mu '''μ''']
149 [def __Mu '''Μ''']
150 [def __nu '''ν''']
151 [def __Nu '''Ν''']
152 [def __xi '''ξ''']
153 [def __Xi '''Ξ''']
154 [def __omicron '''ο''']
155 [def __Omicron '''Ο''']
156 [def __pi '''π''']
157 [def __Pi '''Π''']
158 [def __rho '''ρ''']
159 [def __Rho '''Ρ''']
160 [def __sigma '''σ''']
161 [def __Sigma '''Σ''']
162 [def __tau '''τ''']
163 [def __Tau '''Τ''']
164 [def __upsilon '''υ''']
165 [def __Upsilon '''Υ''']
166 [def __phi '''φ''']
167 [def __Phi '''Φ''']
168 [def __chi '''χ''']
169 [def __Chi '''Χ''']
170 [def __psi '''ψ''']
171 [def __Psi '''Ψ''']
172 [def __Omega '''Ω''']
173 [def __omega '''ω''']
174
175 [def __space '''​''']
176
177
178
179 [template super[x]'''<superscript>'''[x]'''</superscript>''']
180 [template supl[x]'''<superscript>'''__space[x]'''</superscript>''']
181 [template sub[x]'''<subscript>'''[x]'''</subscript>''']
182 [template subl[x]'''<subscript>'''__space[x]'''</subscript>''']
183
184 [template github_link[url text]'''<ulink url="https://github.com/headmyshoulder/odeint-v2/blob/master/'''[url]'''" target="_blank">'''[text]'''</ulink>''']
185 [/ [template github_link[url text]'''<ulink url="../../../../../'''[url]'''" target="_blank">'''[text]'''</ulink>''']]
186
187
188
189
190 [include getting_started.qbk]
191
192 [include tutorial.qbk]
193
194 [include details.qbk]
195
196 [include concepts.qbk]
197
198 [include literature.qbk]
199
200 [include acknowledgements.qbk]
201
202 [xinclude reference.xml]
203
204 [section:indexes Indexes]
205
206 [named_index class_name Class Index]
207 [named_index function_name Function Index]
208 [/
209 [named_index typedef_name Typedef Index]
210 [named_index macro_name Macro Index]
211 ]
212 [index]
213
214 [endsect]
215
216
217
218
219 [/
220 # &Alpha; Α &#913; U+0391 Greek capital letter alpha
221 # &Beta; Β &#914; U+0392 Greek capital letter beta
222 # &Gamma; Γ &#915; U+0393 Greek capital letter gamma ISOgrk3
223 # &Delta; Δ &#916; U+0394 Greek capital letter delta ISOgrk3
224 # &Epsilon; Ε &#917; U+0395 Greek capital letter epsilon
225 # &Zeta; Ζ &#918; U+0396 Greek capital letter zeta
226 # &Eta; Η &#919; U+0397 Greek capital letter eta
227 # &Theta; Θ &#920; U+0398 Greek capital letter theta ISOgrk3
228 # &Iota; Ι &#921; U+0399 Greek capital letter iota
229 # &Kappa; Κ &#922; U+039A Greek capital letter kappa
230 # &Lambda; Λ &#923; U+039B Greek capital letter lambda ISOgrk3
231 # &Mu; Μ &#924; U+039C Greek capital letter mu
232 # &Nu; Ν &#925; U+039D Greek capital letter nu
233 # &Xi; Ξ &#926; U+039E Greek capital letter xi ISOgrk3
234 # &Omicron; Ο &#927; U+039F Greek capital letter omicron
235 # &Pi; Π &#928; U+03A0 Greek capital letter pi ISOgrk3
236 # &Rho; Ρ &#929; U+03A1 Greek capital letter rho
237 # &Sigma; Σ &#931; U+03A3 Greek capital letter sigma ISOgrk3
238 # &Tau; Τ &#932; U+03A4 Greek capital letter tau
239 # &Upsilon; Υ &#933; U+03A5 Greek capital letter upsilon ISOgrk3
240 # &Phi; Φ &#934; U+03A6 Greek capital letter phi ISOgrk3
241 # &Chi; Χ &#935; U+03A7 Greek capital letter chi
242 # &Psi; Ψ &#936; U+03A8 Greek capital letter psi ISOgrk3
243 # &Omega; Ω &#937; U+03A9 Greek capital letter omega ISOgrk3
244 # &alpha; α &#945; U+03B1 Greek small letter alpha ISOgrk3
245 # &beta; β &#946; U+03B2 Greek small letter beta ISOgrk3
246 # &gamma; γ &#947; U+03B3 Greek small letter gamma ISOgrk3
247 # &delta; δ &#948; U+03B4 Greek small letter delta ISOgrk3
248 # &epsilon; ε &#949; U+03B5 Greek small letter epsilon ISOgrk3
249 # &zeta; ζ &#950; U+03B6 Greek small letter zeta ISOgrk3
250 # &eta; η &#951; U+03B7 Greek small letter eta ISOgrk3
251 # &theta; θ &#952; U+03B8 Greek small letter theta ISOgrk3
252 # &iota; ι &#953; U+03B9 Greek small letter iota ISOgrk3
253 # &kappa; κ &#954; U+03BA Greek small letter kappa ISOgrk3
254 # &lambda; λ &#955; U+03BB Greek small letter lambda ISOgrk3
255 # &mu; μ &#956; U+03BC Greek small letter mu ISOgrk3
256 # &nu; ν &#957; U+03BD Greek small letter nu ISOgrk3
257 # &xi; ξ &#958; U+03BE Greek small letter xi ISOgrk3
258 # &omicron; ο &#959; U+03BF Greek small letter omicron New
259 # &pi; π &#960; U+03C0 Greek small letter pi ISOgrk3
260 # &rho; ρ &#961; U+03C1 Greek small letter rho ISOgrk3
261 # &sigmaf; ς &#962; U+03C2 Greek small letter final sigma ISOgrk3
262 # &sigma; σ &#963; U+03C3 Greek small letter sigma ISOgrk3
263 # &tau; τ &#964; U+03C4 Greek small letter tau ISOgrk3
264 # &upsilon; υ &#965; U+03C5 Greek small letter upsilon ISOgrk3
265 # &phi; φ &#966; U+03C6 Greek small letter phi ISOgrk3
266 # &chi; χ &#967; U+03C7 Greek small letter chi ISOgrk3
267 # &psi; ψ &#968; U+03C8 Greek small letter psi ISOgrk3
268 # &omega; ω &#969; U+03C9 Greek small letter omega ISOgrk3
269 # &thetasym; ϑ &#977; U+03D1 Greek small letter theta symbol New
270 # &upsih; ϒ &#978; U+03D2 Greek upsilon with hook symbol New
271 # &piv; ϖ &#982; U+03D6 Greek pi symbol ISOgrk3
272
273 /]