[1] Martin Altmayer and Andreas Neuenkirch, Multilevel monte carlo quadrature of discontinuous payoffs in the generalized heston model using malliavin integration by parts, SIAM
Journal on Financial Mathematics 6 (2015), no. 1, 22–52.
[2] , Discretising the heston model: an analysis of the weak convergence rate, IMA Journal of
Numerical Analysis 37 (2017), no. 4, 1930–1960.
[3] Denis Belomestny and Tigran Nagapetyan, Multilevel path simulation for weak approximation schemes with application to L´evy-driven SDEs, Bernoulli 23 (2017), no. 2, 927–950.
[4] Mark Broadie and Ozg ¨ ur Kaya, ¨ Exact simulation of stochastic volatility and other affine
jump diffusion processes, Operations research 54 (2006), no. 2, 217–231.
[5] Kristian Debrabant, Azadeh Ghasemifard, and Nicky C Mattsson, Weak antithetic mlmc
estimation of sdes with the milstein scheme for low-dimensional wiener processes, Applied
Mathematics Letters 91 (2019), 22–27.
[6] Azadeh Ghasemifard and Mohammad Taghi Jahandideh, Weak multilevel path simulation
for jump-diffusion assets, Mathematical Researches 7 (2021), no. 2, 353–370.
[7] Azadeh Ghasemifard and Mahdieh Tahmasebi, Multilevel path simulation to jump-diffusion
process with superlinear drift, Applied Numerical Mathematics 144 (2019), 176–189.
[8] Michael B Giles, Multilevel monte carlo path simulation, Operations research 56 (2008), no. 3,
607–617.
[9] Michael B Giles and Lukasz Szpruch, Antithetic multilevel monte carlo estimation for multidimensional sdes, Monte Carlo and Quasi-Monte Carlo Methods 2012, Springer, 2013, pp. 367–
384.
[10] Paul Glasserman, Monte carlo methods in financial engineering, vol. 53, Springer, 2004.
[11] Peter E Kloeden and Eckhard Platen, Stochastic differential equations, Springer, 1992.
[12] L Szpruch and A Neuenkirch, First order strong approximations of scalar sdes with values
in a domain, Numerische Mathematik 128 (2014), no. 1, 103–136.
[13] Chao Zheng, Weak convergence rate of a time-discrete scheme for the heston stochastic
volatility model, SIAM Journal on Numerical Analysis 55 (2017), no. 3, 1243–1263.
[14] , Multilevel monte carlo simulation for the heston stochastic volatility model, Advances in
Computational Mathematics 49 (2023), no. 6, 81.