| [/============================================================================ |
| Boost.odeint |
| |
| Copyright (c) 2009-2013 Karsten Ahnert |
| Copyright (c) 2009-2013 Mario Mulansky |
| |
| 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 Second Order System] |
| |
| [heading Description] |
| |
| The Second Order System concept models the algorithmic implementation of the rhs for steppers requirering the second order |
| derivative, hence the r.h.s. of the ODE ['x'' = f(x,x',t)]. The only requirement for this concept is that it should be callable |
| with a specific parameter syntax (see below). A Second Order System is typically implemented as a function or a functor. |
| Systems fulfilling this concept are required by the Velocity Verlet method. |
| |
| [heading Notation] |
| |
| [variablelist |
| [[`System`] [A type that is a model of Second Order System]] |
| [[`Space`] [A type representing the state /x/ of the ODE]] |
| [[`Velocity`] [A type representing the derivative /x'/ of the ODE]] |
| [[`Acceleration`] [A type representing the second order derivative /x''/ of the ODE]] |
| [[`Time`] [A type representing the time]] |
| [[`sys`] [An object of type `System`]] |
| [[`x`] [Object of type `Space`]] |
| [[`v`] [Object of type `Velocity`]] |
| [[`a`] [Object of type `Acceleration`]] |
| [[`t`] [Object of type `Time`]] |
| ] |
| |
| [heading Valid expressions] |
| |
| [table |
| [[Name] [Expression] [Type] [Semantics]] |
| [[Calculate ['x'' := f(x,x',t)]] [`sys( x , v , a , t )`] [`void`] [Calculates f(x,x',t), the result is stored into a.] ] |
| ] |
| |
| [endsect] |
