44 lines
1.7 KiB
Plaintext
44 lines
1.7 KiB
Plaintext
[/============================================================================
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Boost.odeint
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Copyright (c) 2009-2013 Karsten Ahnert
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Copyright (c) 2009-2013 Mario Mulansky
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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 Second Order System]
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[heading Description]
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The Second Order System concept models the algorithmic implementation of the rhs for steppers requirering the second order
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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
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with a specific parameter syntax (see below). A Second Order System is typically implemented as a function or a functor.
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Systems fulfilling this concept are required by the Velocity Verlet method.
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[heading Notation]
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[variablelist
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[[`System`] [A type that is a model of Second Order System]]
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[[`Space`] [A type representing the state /x/ of the ODE]]
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[[`Velocity`] [A type representing the derivative /x'/ of the ODE]]
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[[`Acceleration`] [A type representing the second order 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 `Space`]]
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[[`v`] [Object of type `Velocity`]]
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[[`a`] [Object of type `Acceleration`]]
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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 ['x'' := f(x,x',t)]] [`sys( x , v , a , t )`] [`void`] [Calculates f(x,x',t), the result is stored into a.] ]
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]
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[endsect] |