7 citations · 8 across the 10 of their papers we have counts for
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math.NA2014
On the pathwise approximation of stochastic differential equations
Tony Shardlow, Phillip Taylor
We consider one-step methods for integrating stochastic differential equations and prove pathwise convergence using ideas from rough path theory. In contrast to alternative theorie…
math.NA2014
Improving MLMC for SDEs with application to the Langevin equation
Eike H. Mueller, Rob Scheichl, Tony Shardlow
This paper applies several well-known tricks from the numerical treatment of deterministic differential equations to improve the efficiency of the Multilevel Monte Carlo (MLMC) met…