Papers › Penalty Method for Reflected Diffusions on the Half-Line
Penalty Method for Reflected Diffusions on the Half-Line
Cameron Bruggeman, Andrey Sarantsev
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Consider a reflected diffusion on the positive half-line. We approximate it by solutions of stochastic differential equations using the penalty method: We emulate the "hard barrier" of reflection by a "soft barrier" of a large drift coefficient, which compells the diffusion to return to the positive half-line. The main tool of the proof is convergence of scale functions.
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