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On the rate of convergence of strong Euler approximation for SDEs driven by Levy processes
8 references·1 citing·31 second hop
On the rate of convergence of strong Euler approximation for SDEs driven by Levy processes (2017)On the rate of convergence of strong Eule…Strong rate of convergence for the Euler–Maruyama approximation of SDEs with Hölder continuous drift coefficient (2016)Strong rate of convergence fo…Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift (2013)Strong uniqueness for stochas…Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift (2013)Strong uniqueness for stochas…PATHWISE UNIQUENESS FOR SINGULAR SDEs DRIVEN BY STABLE PROCESSES (2012)PATHWISE UNIQUENESS FOR SINGU…Pathwise uniqueness and continuous dependence for SDEs with non-regular drift (2011)Pathwise uniqueness and conti…Lévy Processes and Stochastic Calculus (2009)Lévy Processes and Stochastic…The Euler scheme for Lévy driven stochastic differential equations: limit theorems (2004)The Euler scheme for Lévy dri…The Euler scheme for Lévy driven stochastic differential equations : limit theorems (2004)The Euler scheme for Lévy dri…Approximation of SDEs: a stochastic sewing approach (2021)Approximation of SDEs: a stoc…Lévy Processes and Stochastic Calculus (2004)Brownian Motion and Stochastic Calculus (2007)Numerical solution of stochastic differential equations (2016)Strong convergence for the Euler–Maruyama approximation of stochastic differential equations with discontinuous coefficients (2017)Strong convergence of the Euler–Maruyama approximation for a class of Lévy-driven SDEs (2018)On the regularisation of the noise for the Euler-Maruyama scheme with irregular drift (2020)A TRANSFORMATION OF THE PHASE SPACE OF A DIFFUSION PROCESS THAT REMOVES THE DRIFT (1974)Existence of strong solutions for Itô's stochastic equations via approximations (1996)Strong solutions of stochastic equations with singular time dependent drift (2004)Ergodicity of stochastic differential equations with jumps and singular coefficients (2020)Weak Limit Theorems for Stochastic Integrals and Stochastic Differential Equations (1991)Asymptotic error distributions for the Euler method for stochastic differential equations (1998)Limit Theorems for Stochastic Processes (2003)Euler scheme and tempered distributions (2005)Asymptotic properties of power variations of Lévy processes (2007)Threshold estimation of Markov models with jumps and interest rate modeling (2010)Continuous Martingales and Brownian Motion (1999)A Concise Course on Stochastic Partial Differential Equations (2007)Sobolev differentiable stochastic flows for SDEs with singular coefficients: Applications to the transport equation (2015)Degenerate SDE with Hölder--Dini Drift and Non-Lipschitz Noise Coefficient (2016)Large and Moderate Deviation Principles for McKean-Vlasov SDEs with Jumps (2022)Stochastic Integration and Differential Equations (2005)Stochastic differential equations with Sobolev drifts and driven by $\alpha$-stable processes (2013)Stochastic Analysis of the Fractional Brownian Motion (1999)The Malliavin Calculus and Related Topics (2006)Brownian Motion and Stochastic Calculus (1998)Asymptotic Stability of Stochastic Differential Equations Driven by Lévy Noise (2009)The Theory of Scale Functions for Spectrally Negative Lévy Processes (2012)Regularly varying measures on metric spaces: Hidden regular variation and hidden jumps (2014)Parameter estimation for Ornstein-Uhlenbeck processes driven by α-stable Lévy motions (2007)Simulation and approximation of Lévy-driven stochastic differential equations (2009)
this work references cited by second hop

References

  • 2009Lévy Processes and Stochastic Calculus1,442 cited
  • 2012PATHWISE UNIQUENESS FOR SINGULAR SDEs DRIVEN BY STABLE PROCESSES107 cited
  • 2011Pathwise uniqueness and continuous dependence for SDEs with non-regular drift99 cited
  • 2013Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift89 cited
  • 2013Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift84 cited
  • 2004The Euler scheme for Lévy driven stochastic differential equations: limit theorems73 cited
  • 2004The Euler scheme for Lévy driven stochastic differential equations : limit theorems63 cited
  • 2016Strong rate of convergence for the Euler–Maruyama approximation of SDEs with Hölder continuous drift coefficient56 cited

Cited by

  • 2021Approximation of SDEs: a stochastic sewing approach34 cited

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