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Re: boundary condition question.

Posted by cuchulainn on Oct 25, 2008; 5:35pm
URL: http://quantlib.414.s1.nabble.com/boundary-condition-question-tp6831p6834.html

One of the best places to see how BCs have been solved is www.wilmott.com, especially Numerical Methods.
 
The situation is very, very extensive.
 
Daniel Duffy


From: jean-marc mercier [mailto:[hidden email]]
Sent: Mon 20-10-2008 21:01
To: Sun, Xiuxin
Cc: [hidden email]
Subject: Re: [Quantlib-users] boundary condition question.

Dear Sun,

I am not part of Quantlib team, however I would say that none of your guess are correct: transparent Boundary Conditions should be used. However, if the grid is large enough, Neumann or Dirichlet are a correct alternative for a classical FD approach.
Note that there exists also FD approaches for European or American pay off that do not use any boundary conditions.

Regards,

Jean-Marc Mercier

2008/10/17 Sun, Xiuxin <[hidden email]>

HI,
In FDEuropeanEngine module, if I'm right, the boundary conditions are
set up in FDVanillaEngine::initializeBoundaryConditions. They are
NeumannBC, but as I know from the BS PDE,
we only know the option value on the upper and lower boundaries,
shouldn't they be DirichletBC ?

please help to advise.
thanks,
sun

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