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An asymptotically efficient difference formula for solving stochastic differential equations
2 references·5 citing·25 second hop
An asymptotically efficient difference formula for solving stochastic differential equations (1986)An asymptotically efficient difference fo…Efficient numerical schemes for the approximation of expectations of functionals of the solution of a S.D.E., and applications (2005)Efficient numerical schemes f…Stochastic Differential Equations and Applications (1976)Stochastic Differential Equat…Optimal pointwise approximation of stochastic differential equations driven by fractional Brownian motion (2008)Optimal pointwise approximati…Exact solutions and doubly efficient approximations of jump-diffusion itô equations (1998)Exact solutions and doubly ef…Exact convergence rate of the Euler-Maruyama scheme, with application to sampling design (1996)Exact convergence rate of the…Undiased monte carlo estimators for functionals of weak solutions of stochastic diffretial equations (1989)Undiased monte carlo estimato…Monte carlo evaluation of functionals of solutions of stochastic differential equations. variance reduction and numerical examples (1988)Monte carlo evaluation of fun…MULTI-DIMENSIONAL DIFFUSION PROCESSES (1980)Simulation and the Monte Carlo Method (1981)Stochastic Differential Equations and Diffusion Processes (1983)Stochastic Differential Equations (1972)Stochastic Differential Equations (2006)Numerical solution of stochastic differential equations (2016)Stochastic Differential Equations and Diffusion Processes (1981)Monte Carlo construction of hedging strategies against multi-asset European claims (2002)Brownian Motion and Stochastic Calculus (1988)Brownian Motion and Stochastic Calculus (2007)Optimal Pointwise Approximation of a Linear Stochastic Heat Equation with Additive Space-Time White Noise (2007)Discretization error of stochastic integrals (2011)Stochastic Calculus and Stochastic Models (1974)Stochastic Analysis (1997)The Malliavin Calculus and Related Topics (2006)Discretizing the fractional Lévy area (2009)Milstein’s type schemes for fractional SDEs (2009)Multilevel Monte Carlo for stochastic differential equations with additive fractional noise (2009)Discretization and simulation of stochastic differential equations (1985)Discrétisation d'une équation différentielle stochastique et calcul approché d'espérances de fonctionnelles de la solution (1986)Time Discrete Taylor Approximations for Itǒ Processes with Jump Component (1988)Arbitrage-free discretization of lognormal forward Libor and swap rate models (2000)A Re-Examination of Traditional Hypotheses about the Term Structure of Interest Rates (1981)An Exact Bond Option Formula (1989)A pricing method for options based on average asset values (1990)
this work references cited by second hop

References

  • 1976Stochastic Differential Equations and Applications1,378 cited
  • 2005Efficient numerical schemes for the approximation of expectations of functionals of the solution of a S.D.E., and applications106 cited

Cited by

  • 1988Monte carlo evaluation of functionals of solutions of stochastic differential equations. variance reduction and numerical examples40 cited
  • 1996Exact convergence rate of the Euler-Maruyama scheme, with application to sampling design35 cited
  • 2008Optimal pointwise approximation of stochastic differential equations driven by fractional Brownian motion34 cited
  • 1989Undiased monte carlo estimators for functionals of weak solutions of stochastic diffretial equations26 cited
  • 1998Exact solutions and doubly efficient approximations of jump-diffusion itô equations26 cited

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