Approximations for solutions of Lévy-type stochastic differential equations

Abstract: The problem of the construction of strong approximations with a given order of convergence for jump-diffusion equations is studied. General approximation schemes are constructed for L\'evy type stochastic differential equation. In particular, the paper generalizes the results of Platen Kloeden and Gardo\n. The Euler and the Milstein schemes are shown for finite and infinite L\'evy measure.