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Performance and degradation in batteries are often determined at the electrochemical interface on microscale, while local conditions at the interface depend on electrode structure, cell arrangement and operation. Understanding the interplay across scales in-depth, requires multiscale modeling techniques. This presentation will describe the numerical implementation of a novel multiscale modeling approach that enables to directly couple stochastic microscopic models, i.e. kinetic Monte Carlo method, with classical continuum models. Numerical errors and computational cost are evaluated for various implementations at the example of a simple electrochemical system. Finally, results for various application examples in battery engineering are presented and future challenges are discussed.