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A new extrapolation method for weak approximation schemes with applications
7 references·1 citing·29 second hop
A new extrapolation method for weak approximation schemes with applications (2012)A new extrapolation method for weak appro…Approximation of Expectation of Diffusion Process and Mathematical Finance (2018)Approximation of Expectation …A new higher-order weak approximation scheme for stochastic differential equations and the Runge–Kutta method (2009)A new higher-order weak appro…Weak Approximation of Stochastic Differential Equations and Application to Derivative Pricing (2008)Weak Approximation of Stochas…Cubature on Wiener space (2004)Cubature on Wiener spaceApproximation of expectation of diffusion processes based on Lie algebra and Malliavin calculus (2004)Approximation of expectation …Weak approximations. A Malliavin calculus approach (2000)Weak approximations. A Mallia…Stochastic Differential Equations and Diffusion Processes (1983)Stochastic Differential Equat…Semi-closed form cubature and applications to financial diffusion models (2013)Semi-closed form cubature and…Differential equations driven by rough signals (1998)An Introduction to Rough Paths (2003)Numerical solution of stochastic differential equations (2016)On Multilevel Picard Numerical Approximations for High-Dimensional Nonlinear Parabolic Partial Differential Equations and High-Dimensional Nonlinear Backward Stochastic Differential Equations (2019)Monte Carlo Methods in Financial Engineering (2003)Brownian Motion and Stochastic Calculus (2007)The Pricing of Options and Corporate Liabilities (1973)A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options (1993)A Comparison of Biased Simulation Schemes for Stochastic Volatility Models (2006)Pathwise approximation of stochastic differential equations on domains: higher order convergence rates without global Lipschitz coefficients (2008)High order discretization schemes for the CIR process: Application to affine term structure and Heston models (2009)Applications of the Malliavin calculus. II (1985)Flots et series de Taylor stochastiques (1989)The law of the Euler scheme for stochastic differential equations (1996)Malliavin Calculus Revisited (2003)Solving Backward Stochastic Differential Equations Using the Cubature Method: Application to Nonlinear Pricing (2012)Second order discretization of backward SDEs and simulation with the cubature method (2014)The Malliavin Calculus and Related Topics (1995)The Malliavin Calculus and Related Topics (2006)Weak Convergence of the Euler Scheme for Stochastic Differential Delay Equations (2008)Discretization error of stochastic integrals (2011)Weak rate of convergence of the Euler–Maruyama scheme for stochastic differential equations with non-regular drift (2017)Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation (1992)Backward Stochastic Differential Equations in Finance (1997)Controlled Markov Processes and Viscosity Solutions (2005)Efficient and Practical Implementations of Cubature on Wiener Space (2010)Exact and high-order discretization schemes for Wishart processes and their affine extensions (2013)Fast Ninomiya–Victoir calibration of the double-mean-reverting model (2013)Jump-diffusions in Hilbert spaces: existence, stability and numerics (2010)
this work references cited by second hop

References

  • 1983Stochastic Differential Equations and Diffusion Processes3,836 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
  • 2009A new higher-order weak approximation scheme for stochastic differential equations and the Runge–Kutta method56 cited
  • 2000Weak approximations. A Malliavin calculus approach34 cited

Cited by

  • 2013Semi-closed form cubature and applications to financial diffusion models21 cited

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