On explicit approximations for Lévy driven SDEs with super-linear diffusion coefficients
From MaRDI portal
Publication:2411864
DOI10.1214/17-EJP89zbMath1379.60076arXiv1611.03417MaRDI QIDQ2411864
Chaman Kumar, Sotirios Sabanis
Publication date: 25 October 2017
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.03417
strong convergencerandom coefficientsdelay equationsdiffusion coefficientsSDE driven by Lévy noiseexplicit Euler-type schemesuper-linear drift
Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)
Related Items
On explicit tamed Milstein-type scheme for stochastic differential equation with Markovian switching, Strong convergence in infinite time interval of tamed-adaptive Euler-Maruyama scheme for Lévy-driven SDEs with irregular coefficients, The truncated Euler-Maruyama method for highly nonlinear stochastic differential equations with multiple time delays, The truncated EM method for stochastic differential equations with Poisson jumps, Mean-square convergence and stability of compensated stochastic theta methods for jump-diffusion SDEs with super-linearly growing coefficients, Strong Convergence of Jump-Adapted Implicit Milstein Method for a Class of Nonlinear Jump-Diffusion Problems, Strong convergence of explicit schemes for highly nonlinear stochastic differential equations with Markovian switching, On explicit Milstein-type scheme for McKean-Vlasov stochastic differential equations with super-linear drift coefficient, On Milstein-type scheme for SDE driven by Lévy noise with super-linear coefficients, On the backward Euler method for a generalized Ait-Sahalia-type rate model with Poisson jumps, Approximation of heavy-tailed distributions via stable-driven SDEs, Convergence and stability of the backward Euler method for jump-diffusion SDEs with super-linearly growing diffusion and jump coefficients, Well-posedness and tamed schemes for McKean-Vlasov equations with common noise