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