[/============================================================================
  Boost.odeint

  Copyright 2009-2012 Karsten Ahnert
  Copyright 2011-2013 Mario Mulansky
  Copyright 2012 Sylwester Arabas
  Copyright 2013 Pascal Germroth

  Use, modification and distribution is subject to the Boost Software License,
  Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
  http://www.boost.org/LICENSE_1_0.txt)
=============================================================================/]



[library Boost.Numeric.Odeint
     [quickbook 1.5]
     [id odeint]
     [dirname odeint]
     [authors [Ahnert, Karsten], [Mulansky, Mario]]
     [copyright 2009-2015 Karsten Ahnert and Mario Mulansky]
     [category math]
     [purpose 
        Numerical integration of ordinary differential equations.
     ]
     [license
     Distributed under the Boost Software License, Version 1.0.
     (See accompanying file LICENSE_1_0.txt or copy
     at [@http://www.boost.org/LICENSE_1_0.txt]) 
     ]
]

[include auto_index_helpers.qbk]



[def __boost_lambda
    [@http://www.boost.org/doc/libs/release/libs/lambda/ Boost.Lambda]]
[def __boost_phoenix
    [@http://www.boost.org/doc/libs/release/libs/phoenix/ Boost.Phoenix]]
[def __boost_operators
    [@http://www.boost.org/doc/libs/release/libs/utility/operators.htm Boost.Operators]]
[def __boost_ref
    [@http://www.boost.org/doc/libs/release/libs/bind/ref.html Boost.Ref]]
[def __boost_range
    [@http://www.boost.org/doc/libs/release/libs/range/ Boost.Range]]
[def __boost_units
    [@http://www.boost.org/doc/libs/release/libs/units/ Boost.Units]]
[def __boost_fusion
    [@http://www.boost.org/doc/libs/release/libs/fusion/ Boost.Fusion]]
[def __boost_graph
    [@http://www.boost.org/doc/libs/release/libs/graph/ Boost.Graph]]
[def __boost_multiprecision
    [@http://www.boost.org/doc/libs/release/libs/multiprecision/ Boost.Multiprecision]]
[def __boost_mpi
    [@http://www.boost.org/doc/libs/release/libs/mpi/ Boost.MPI]]

[def __thrust
    [@http://code.google.com/p/thrust/ Thrust]]
[def __ublas
    [@http://www.boost.org/doc/libs/release/libs/numeric/ublas/index.html Boost.uBLAS]]
[def __intel_mkl
     [@http://software.intel.com/en-us/articles/intel-mkl/ Intel Math Kernel Library]]
[def __gsl
     [@http://www.gsl.org GSL]] 
[def __vexcl
     [@https://github.com/ddemidov/vexcl VexCL]]

[def __concepts
    [link boost_numeric_odeint.concepts Concepts]]
[def __system
    [link boost_numeric_odeint.concepts.system System]]
[def __symplectic_system
    [link boost_numeric_odeint.concepts.symplectic_system Symplectic System]]
[def __simple_symplectic_system
    [link boost_numeric_odeint.concepts.simple_symplectic_system Simple Symplectic System]]
[def __implicit_system
    [link boost_numeric_odeint.concepts.implicit_system Implicit System]]
[def __second_order_system
    [link boost_numeric_odeint.concepts.second_order_system Second Order System]]
[def __stepper
    [link boost_numeric_odeint.concepts.stepper Stepper]]
[def __error_stepper
    [link boost_numeric_odeint.concepts.error_stepper Error Stepper]]
[def __controlled_stepper
    [link boost_numeric_odeint.concepts.controlled_stepper Controlled Stepper]]
[def __dense_output_stepper
    [link boost_numeric_odeint.concepts.dense_output_stepper Dense Output Stepper]]
[def __integrate_functions
    [link boost_numeric_odeint.odeint_in_detail.integrate_functions integrate functions]]
[def __tutorial
    [link boost_numeric_odeint.tutorial Tutorial]]
[def __tut_solar_system
    [link boost_numeric_odeint.tutorial.solar_system Solar System]]
[def __tut_chaotic_system
    [link boost_numeric_odeint.tutorial.chaotic_systems_and_lyapunov_exponents Chaotic System]]
[def __tut_harmonic_oscillator
    [link boost_numeric_odeint.tutorial.harmonic_oscillator Harmonic Oscillator]]
[def __using_steppers
    [link boost_numeric_odeint.odeint_in_detail.steppers.using_steppers Using steppers]]	
[def __generation_functions
    [link boost_numeric_odeint.odeint_in_detail.generation_functions Generation functions]]
[def __adapt_state_types
    [link boost_numeric_odeint.odeint_in_detail.state_types__algebras_and_operations Adapt your own state types]]
[def __resizing_lattice_example
    [link boost_numeric_odeint.tutorial.self_expanding_lattices Self expanding lattices]]
[def __odeint_stepper_table
    [link boost_numeric_odeint.odeint_in_detail.steppers.stepper_overview Stepper overview]]



[def __nr_ref [link numerical_recipies \[1\] ]]
[def __hairer_1_ref [link hairer_solving_odes_1 \[2\] ]]
[def __hairer_2_ref [link hairer_solving_odes_2 \[3\] ]]
[def __hairer_geom_ref [link hairer_geometrical_numeric_integration \[4\] ]]
[def __leimkuhler_reich_ref [link leimkuhler_reich_simulating_hamiltonian_dynamics \[5\] ]]
[def __symplectic_integrator_1_ref [link symplectic_yoshida_symplectic_integrators \[6\] ]]
[def __symplectic_integrator_2_ref [link symplectic_mylachlan_symmetric_composition_mehtods \[7\] ]]
[def __fpu_scholarpedia_ref [link fpu_scholarpedia \[8\] ]]
[def __synchronization_pikovsky_ref [link synchronization_pikovsky_rosenblum \[9\] ]]





[def __alpha '''&#945;''']
[def __Alpha '''&#913;''']
[def __beta '''&#946;''']
[def __Beta '''&#914;''']
[def __gamma '''&#947;''']
[def __Gamma '''&#915;''']
[def __delta '''&#948;''']
[def __Delta '''&#916;''']
[def __epsilon '''&#949;''']
[def __Epsilon '''&#917;''']
[def __zeta '''&#950;''']
[def __Zeta '''&#918;''']
[def __eta '''&#951;''']
[def __Eta '''&#919;''']
[def __theta '''&#952;''']
[def __Theta '''&#920;''']
[def __iota '''&#953;''']
[def __Iota '''&#921;''']
[def __kappa '''&#954;''']
[def __Kappa '''&#922;''']
[def __lambda '''&#955;'''][/lower case]
[def __Lambda '''&#923;'''][/upper case]
[def __mu '''&#956;''']
[def __Mu '''&#924;''']
[def __nu '''&#957;''']
[def __Nu '''&#925;''']
[def __xi '''&#958;''']
[def __Xi '''&#926;''']
[def __omicron '''&#959;''']
[def __Omicron '''&#927;''']
[def __pi '''&#960;''']
[def __Pi '''&#928;''']
[def __rho '''&#961;''']
[def __Rho '''&#929;''']
[def __sigma '''&#963;''']
[def __Sigma '''&#931;''']
[def __tau '''&#964;''']
[def __Tau '''&#932;''']
[def __upsilon '''&#965;''']
[def __Upsilon '''&#933;''']
[def __phi '''&#966;''']
[def __Phi '''&#934;''']
[def __chi '''&#967;''']
[def __Chi '''&#935;''']
[def __psi '''&#968;''']
[def __Psi '''&#936;''']
[def __Omega '''&#937;''']
[def __omega '''&#969;''']

[def __space '''&#8203;''']



[template super[x]'''<superscript>'''[x]'''</superscript>''']
[template supl[x]'''<superscript>'''__space[x]'''</superscript>''']
[template sub[x]'''<subscript>'''[x]'''</subscript>''']
[template subl[x]'''<subscript>'''__space[x]'''</subscript>''']

[template github_link[url text]'''<ulink url="https://github.com/headmyshoulder/odeint-v2/blob/master/'''[url]'''" target="_blank">'''[text]'''</ulink>''']
[/ [template github_link[url text]'''<ulink url="../../../../../'''[url]'''" target="_blank">'''[text]'''</ulink>''']]




[include getting_started.qbk]

[include tutorial.qbk]

[include details.qbk]

[include concepts.qbk]

[include literature.qbk]

[include acknowledgements.qbk]

[xinclude reference.xml]

[section:indexes Indexes]

[named_index class_name Class Index]
[named_index function_name Function Index]
[/
[named_index typedef_name Typedef Index]
[named_index macro_name Macro Index]
]
[index]

[endsect]




[/
# &Alpha; 	 Α 	&#913; 	U+0391 	Greek capital letter alpha 	 
# &Beta; 	 Β 	&#914; 	U+0392 	Greek capital letter beta 	 
# &Gamma; 	 Γ 	&#915; 	U+0393 	Greek capital letter gamma 	ISOgrk3
# &Delta; 	 Δ 	&#916; 	U+0394 	Greek capital letter delta 	ISOgrk3
# &Epsilon; 	 Ε 	&#917; 	U+0395 	Greek capital letter epsilon 	 
# &Zeta; 	 Ζ 	&#918; 	U+0396 	Greek capital letter zeta 	 
# &Eta; 	 Η 	&#919; 	U+0397 	Greek capital letter eta 	 
# &Theta; 	 Θ 	&#920; 	U+0398 	Greek capital letter theta 	ISOgrk3
# &Iota; 	 Ι 	&#921; 	U+0399 	Greek capital letter iota 	 
# &Kappa; 	 Κ 	&#922; 	U+039A 	Greek capital letter kappa 	 
# &Lambda; 	 Λ 	&#923; 	U+039B 	Greek capital letter lambda 	ISOgrk3
# &Mu; 	 Μ 	&#924; 	U+039C 	Greek capital letter mu 	 
# &Nu; 	 Ν 	&#925; 	U+039D 	Greek capital letter nu 	 
# &Xi; 	 Ξ 	&#926; 	U+039E 	Greek capital letter xi 	ISOgrk3
# &Omicron; 	 Ο 	&#927; 	U+039F 	Greek capital letter omicron 	 
# &Pi; 	 Π 	&#928; 	U+03A0 	Greek capital letter pi 	ISOgrk3
# &Rho; 	 Ρ 	&#929; 	U+03A1 	Greek capital letter rho 	 
# &Sigma; 	 Σ 	&#931; 	U+03A3 	Greek capital letter sigma 	ISOgrk3
# &Tau; 	 Τ 	&#932; 	U+03A4 	Greek capital letter tau 	 
# &Upsilon; 	 Υ 	&#933; 	U+03A5 	Greek capital letter upsilon 	ISOgrk3
# &Phi; 	 Φ 	&#934; 	U+03A6 	Greek capital letter phi 	ISOgrk3
# &Chi; 	 Χ 	&#935; 	U+03A7 	Greek capital letter chi 	 
# &Psi; 	 Ψ 	&#936; 	U+03A8 	Greek capital letter psi 	ISOgrk3
# &Omega; 	 Ω 	&#937; 	U+03A9 	Greek capital letter omega 	ISOgrk3
# &alpha; 	 α 	&#945; 	U+03B1 	Greek small letter alpha 	ISOgrk3
# &beta; 	 β 	&#946; 	U+03B2 	Greek small letter beta 	ISOgrk3
# &gamma; 	 γ 	&#947; 	U+03B3 	Greek small letter gamma 	ISOgrk3
# &delta; 	 δ 	&#948; 	U+03B4 	Greek small letter delta 	ISOgrk3
# &epsilon; 	 ε 	&#949; 	U+03B5 	Greek small letter epsilon 	ISOgrk3
# &zeta; 	 ζ 	&#950; 	U+03B6 	Greek small letter zeta 	ISOgrk3
# &eta; 	 η 	&#951; 	U+03B7 	Greek small letter eta 	ISOgrk3
# &theta; 	 θ 	&#952; 	U+03B8 	Greek small letter theta 	ISOgrk3
# &iota; 	 ι 	&#953; 	U+03B9 	Greek small letter iota 	ISOgrk3
# &kappa; 	 κ 	&#954; 	U+03BA 	Greek small letter kappa 	ISOgrk3
# &lambda; 	 λ 	&#955; 	U+03BB 	Greek small letter lambda 	ISOgrk3
# &mu; 	 μ 	&#956; 	U+03BC 	Greek small letter mu 	ISOgrk3
# &nu; 	 ν 	&#957; 	U+03BD 	Greek small letter nu 	ISOgrk3
# &xi; 	 ξ 	&#958; 	U+03BE 	Greek small letter xi 	ISOgrk3
# &omicron; 	 ο 	&#959; 	U+03BF 	Greek small letter omicron 	New
# &pi; 	 π 	&#960; 	U+03C0 	Greek small letter pi 	ISOgrk3
# &rho; 	 ρ 	&#961; 	U+03C1 	Greek small letter rho 	ISOgrk3
# &sigmaf; 	 ς 	&#962; 	U+03C2 	Greek small letter final sigma 	ISOgrk3
# &sigma; 	 σ 	&#963; 	U+03C3 	Greek small letter sigma 	ISOgrk3
# &tau; 	 τ 	&#964; 	U+03C4 	Greek small letter tau 	ISOgrk3
# &upsilon; 	 υ 	&#965; 	U+03C5 	Greek small letter upsilon 	ISOgrk3
# &phi; 	 φ 	&#966; 	U+03C6 	Greek small letter phi 	ISOgrk3
# &chi; 	 χ 	&#967; 	U+03C7 	Greek small letter chi 	ISOgrk3
# &psi; 	 ψ 	&#968; 	U+03C8 	Greek small letter psi 	ISOgrk3
# &omega; 	 ω 	&#969; 	U+03C9 	Greek small letter omega 	ISOgrk3
# &thetasym; 	 ϑ 	&#977; 	U+03D1 	Greek small letter theta symbol 	New
# &upsih; 	 ϒ 	&#978; 	U+03D2 	Greek upsilon with hook symbol 	New
# &piv; 	 ϖ 	&#982; 	U+03D6 	Greek pi symbol 	ISOgrk3

/]
