| [/============================================================================ |
| 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] |
