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Convergence in Hölder norms with applications to Monte Carlo methods in infinite dimensions
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References

  • 1999Continuous Martingales and Brownian Motion6,200 cited
  • 2016Numerical solution of stochastic differential equations5,095 cited
  • 2008Multilevel Monte Carlo Path Simulation1,436 cited
  • 2010Strong and weak divergence in finite time of Euler's method for stochastic differential equations with non-globally Lipschitz continuous coefficients431 cited
  • 2012Strong convergence of an explicit numerical method for SDEs with nonglobally Lipschitz continuous coefficients428 cited
  • 1999Lattice Approximations for Stochastic Quasi-Linear Parabolic Partial Differential Equations driven by Space-Time White Noise II227 cited
  • 2020On a perturbation theory and on strong convergence rates for stochastic ordinary and partial differential equations with nonglobally monotone coefficients128 cited
  • 1995Approximation and Support Theorem in Holder Norm for Parabolic Stochastic Partial Differential Equations126 cited
  • 1998Lattice Approximations for Stochastic Quasi-Linear Parabolic Partial Differential Equations Driven by Space-Time White Noise I100 cited
  • 2013Divergence of the multilevel Monte Carlo Euler method for nonlinear stochastic differential equations78 cited
  • 2002The optimal uniform approximation of systems of stochastic differential equations71 cited
  • 2024Local Lipschitz Continuity in the Initial Value and Strong Completeness for Nonlinear Stochastic Differential Equations52 cited

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