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43 lines
1.6 KiB
Plaintext
43 lines
1.6 KiB
Plaintext
[/============================================================================
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Boost.odeint
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Copyright 2011 Mario Mulansky
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Copyright 2011-2012 Karsten Ahnert
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Use, modification and distribution is subject to the Boost Software License,
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Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
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http://www.boost.org/LICENSE_1_0.txt)
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=============================================================================/]
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[section System]
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[heading Description]
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The System concept models the algorithmic implementation of the rhs. of the ODE ['x' = f(x,t)].
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The only requirement for this concept is that it should be callable with a specific parameter syntax (see below).
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A System is typically implemented as a function or a functor.
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Systems fulfilling this concept are required by all Runge-Kutta steppers as well as the Bulirsch-Stoer steppers.
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However, symplectic and implicit steppers work with other system concepts, see __symplectic_system and __implicit_system.
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[heading Notation]
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[variablelist
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[[`System`] [A type that is a model of System]]
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[[`State`] [A type representing the state /x/ of the ODE]]
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[[`Deriv`] [A type representing the derivative /x'/ of the ODE]]
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[[`Time`] [A type representing the time]]
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[[`sys`] [An object of type `System`]]
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[[`x`] [Object of type `State`]]
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[[`dxdt`] [Object of type `Deriv`]]
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[[`t`] [Object of type `Time`]]
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]
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[heading Valid expressions]
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[table
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[[Name] [Expression] [Type] [Semantics]]
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[[Calculate ['dx/dt := f(x,t)]] [`sys( x , dxdt , t )`] [`void`] [Calculates f(x,t), the result is stored into dxdt] ]
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]
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[endsect] |