blob: 3eda23364dd0fb968b6841bb06aa6a48b3a5a868 [file] [log] [blame]
Brian Silverman7c33ab22018-08-04 17:14:51 -07001[/============================================================================
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/]