Mean-square convergence and stability of compensated stochastic theta methods for jump-diffusion SDEs with super-linearly growing coefficients

Author:

Wang Yiling,Chen Ziheng,Niu Mengyao,Niu YuanlingORCID

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Algebra and Number Theory

Reference25 articles.

1. Merton, R.C.: Option pricing when underlying stock returns are discontinuous. J. Financ. Econ. 3(1), 125–144 (1976)

2. Cont, R., Tankov, P.: Financial Modelling with Jump Processes, Chapman & Hall/CRC Financial Mathematics Series. Chapman & Hall/CRC, Boca Raton (2004)

3. Situ, R.: Theory of Stochastic Differential Equations with Jumps and Applications: Mathematical and Analytical Techniques with Applications to Engineering. Springer, New York (2006)

4. Platen, E., Bruti-Liberati, N.: Numerical Solution of Stochastic Differential Equations with Jumps in Finance. Stochastic Modelling and Applied Probability, vol. 64. Springer, Berlin (2010)

5. Øksendal, B., Sulem, A.: Applied Stochastic Control of Jump Diffusions, Universitext. Springer, Cham (2019)

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