Gunther Leobacher
Abstract
In the first part, we briefly recall the theory of stochastic differential equations (SDEs) and present Maruyama's classical theorem on strong convergence of the Euler-Maruyama method, for which both drift and diffusion coefficient of the SDE need to be Lipschitz continuous.
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In the first part, we briefly recall the theory of stochastic differential equations (SDEs) and present Maruyama's classical theorem on strong convergence of the Euler-Maruyama method, for which both drift and diffusion coefficient of the SDE need to be Lipschitz continuous.
Key concepts: Stochastic differential equation, Lipschitz continuity, Applied mathematics, Mathematics, Monte Carlo method, Convergence (economics), Statistical physics, Diffusion