ceph/src/boost/libs/numeric/odeint/doc/concepts/system.qbk

   1 [/============================================================================
   2   Boost.odeint
   3
   4   Copyright 2011 Mario Mulansky
   5   Copyright 2011-2012 Karsten Ahnert
   6
   7   Use, modification and distribution is subject to the Boost Software License,
   8   Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
   9   http://www.boost.org/LICENSE_1_0.txt)
  10 =============================================================================/]
  11
  12
  13 [section System]
  14
  15 [heading Description]
  16
  17 The System concept models the algorithmic implementation of the rhs. of the ODE ['x' = f(x,t)].
  18 The only requirement for this concept is that it should be callable with a specific parameter syntax (see below).
  19 A System is typically implemented as a function or a functor.
  20 Systems fulfilling this concept are required by all Runge-Kutta steppers as well as the Bulirsch-Stoer steppers.
  21 However, symplectic and implicit steppers work with other system concepts, see __symplectic_system and __implicit_system.
  22
  23 [heading Notation]
  24
  25 [variablelist
  26   [[`System`] [A type that is a model of System]]
  27   [[`State`] [A type representing the state /x/ of the ODE]]
  28   [[`Deriv`] [A type representing the derivative /x'/ of the ODE]]
  29   [[`Time`] [A type representing the time]]
  30   [[`sys`] [An object of type `System`]]
  31   [[`x`] [Object of type `State`]]
  32   [[`dxdt`] [Object of type `Deriv`]]
  33   [[`t`] [Object of type `Time`]]
  34 ]
  35
  36 [heading Valid expressions]
  37
  38 [table
  39   [[Name] [Expression] [Type] [Semantics]]
  40   [[Calculate ['dx/dt := f(x,t)]] [`sys( x , dxdt , t )`] [`void`] [Calculates f(x,t), the result is stored into dxdt] ]
  41 ]
  42
  43 [endsect]