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Construction of positivity preserving numerical schemes for some multidimensional stochastic differential equations
4 references·1 citing·16 second hop
Construction of positivity preserving numerical schemes for some multidimensional stochastic differential equations (2014)Construction of positivity preserving num…Numerical approximations of stochastic differential equations with non-globally Lipschitz continuous coefficients (2014)Numerical approximations of s…First order strong approximations of scalar SDEs defined in a domain (2014)First order strong approximat…Convergence, non-negativity and stability of a new Milstein scheme with applications to finance (2013)Convergence, non-negativity a…Strong convergence of an explicit numerical method for SDEs with nonglobally Lipschitz continuous coefficients (2012)Strong convergence of an expl…Constructing positivity preserving numerical schemes for the two-factor CIR model (2015)Constructing positivity prese…Stochastic differential equations and their applications (1997)Multilevel Monte Carlo Path Simulation (2008)A note on tamed Euler approximations (2013)Euler approximations with varying coefficients: The case of superlinearly growing diffusion coefficients (2016)Numerical solution of stochastic differential equations (2016)A Theory of the Term Structure of Interest Rates (1985)A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options (1993)On a perturbation theory and on strong convergence rates for stochastic ordinary and partial differential equations with nonglobally monotone coefficients (2020)Brownian Motion and Stochastic Calculus (1998)Brownian Motion and Stochastic Calculus (2007)Loss of regularity for Kolmogorov equations (2015)An Explicit Euler Scheme with Strong Rate of Convergence for Financial SDEs with Non-Lipschitz Coefficients (2016)Stochastic differential equations and applications (2008)Convergence of numerical methods for stochastic differential equations in mathematical finance (2012)A transformed jump-adapted backward Euler method for jump-extended CIR and CEV models (2016)Optimal strong convergence rate of a backward Euler type scheme for the Cox–Ingersoll–Ross model driven by fractional Brownian motion (2019)
this work references cited by second hop

References

  • 2012Strong convergence of an explicit numerical method for SDEs with nonglobally Lipschitz continuous coefficients428 cited
  • 2014Numerical approximations of stochastic differential equations with non-globally Lipschitz continuous coefficients227 cited
  • 2014First order strong approximations of scalar SDEs defined in a domain134 cited
  • 2013Convergence, non-negativity and stability of a new Milstein scheme with applications to finance79 cited

Cited by

  • 2015Constructing positivity preserving numerical schemes for the two-factor CIR model16 cited

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