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A new higher-order weak approximation scheme for stochastic differential equations and the Runge–Kutta method
9 references·3 citing·35 second hop
A new higher-order weak approximation scheme for stochastic differential equations and the Runge–Kutta method (2009)A new higher-order weak approximation sch…Approximation of Expectation of Diffusion Process and Mathematical Finance (2018)Approximation of Expectation …Numerical solution of stochastic differential equations (2016)Numerical solution of stochas…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 …Monte Carlo Methods in Financial Engineering (2003)Monte Carlo Methods in Financ…The law of the Euler scheme for stochastic differential equations (1996)The law of the Euler scheme f…Asymptotic expansion of stochastic flows (1993)Asymptotic expansion of stoch…Stochastic Differential Equations and Diffusion Processes (1983)Stochastic Differential Equat…Fast Ninomiya–Victoir calibration of the double-mean-reverting model (2013)Fast Ninomiya–Victoir calibra…Exact and high-order discretization schemes for Wishart processes and their affine extensions (2013)Exact and high-order discreti…Efficient and Practical Implementations of Cubature on Wiener Space (2010)Efficient and Practical Imple…Differential equations driven by rough signals (1998)An Introduction to Rough Paths (2003)On Multilevel Picard Numerical Approximations for High-Dimensional Nonlinear Parabolic Partial Differential Equations and High-Dimensional Nonlinear Backward Stochastic Differential Equations (2019)On the Gap Between Deterministic and Stochastic Ordinary Differential Equations (1978)On the decomposition of solutions of stochastic differential equations (1981)Flots et series de Taylor stochastiques (1989)Operators associated with a stochastic differential equation driven by fractional Brownian motions (2006)Euler estimates for rough differential equations (2007)Flows driven by rough paths (2015)A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options (1993)Option valuation using the fast Fourier transform (1999)Term-Structure Models (2009)Exact Simulation of the Wishart Multidimensional Stochastic Volatility Model (2017)Affine multiple yield curve models (2018)The Pricing of Options and Corporate Liabilities (1973)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)The Euler scheme for Lévy driven stochastic differential equations (1997)Simulated likelihood estimation of diffusions with an application to exchange rate dynamics in incomplete markets (2002)On the discretization schemes for the CIR (and Bessel squared) processes (2005)The Malliavin Calculus and Related Topics (2006)Applications of the Malliavin calculus. II (1985)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)Martingale Methods in Financial Modelling (1997)Alternative models for stock price dynamics (2003)Multilevel Monte Carlo Path Simulation (2008)Can Time‐Varying Risk of Rare Disasters Explain Aggregate Stock Market Volatility? (2013)Simulation Modeling and Analysis (2016)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)Jump-diffusions in Hilbert spaces: existence, stability and numerics (2010)
this work references cited by second hop

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  • 2003Monte Carlo Methods in Financial Engineering3,818 cited
  • 1996The law of the Euler scheme for stochastic differential equations375 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
  • 1993Asymptotic expansion of stochastic flows75 cited

Cited by

  • 2013Exact and high-order discretization schemes for Wishart processes and their affine extensions47 cited
  • 2013Fast Ninomiya–Victoir calibration of the double-mean-reverting model42 cited
  • 2010Efficient and Practical Implementations of Cubature on Wiener Space38 cited

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