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Efficient and Practical Implementations of Cubature on Wiener Space
14 references·1 citing·32 second hop
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References

  • 2016Numerical solution of stochastic differential equations5,001 cited
  • 1983Stochastic Differential Equations and Diffusion Processes3,836 cited
  • 1998Differential equations driven by rough signals1,077 cited
  • 1988Introduction to stochastic differential equations724 cited
  • 2002System Control and Rough Paths519 cited
  • 2007Differential Equations Driven by Rough Paths381 cited
  • 1985Applications of the Malliavin calculus. II365 cited
  • 2007Differential Equations Driven by Rough Paths237 cited
  • 2004Cubature on Wiener space196 cited
  • 2008Weak Approximation of Stochastic Differential Equations and Application to Derivative Pricing175 cited
  • 2004Approximation of expectation of diffusion processes based on Lie algebra and Malliavin calculus90 cited
  • 2018Approximation of Expectation of Diffusion Process and Mathematical Finance90 cited
  • 2003Malliavin Calculus Revisited59 cited
  • 2009A new higher-order weak approximation scheme for stochastic differential equations and the Runge–Kutta method56 cited

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  • 2015A cubature based algorithm to solve decoupled McKean–Vlasov forward–backward stochastic differential equations

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33 cited