"Narratology is a humanities discipline dedicated to the study of the logic, principles, and practices of narrative representation.
"Dominated by structuralist approaches at its beginning, narratology has developed into a variety of theories, concepts, and analytic procedures. Its concepts and models are widely used as heuristic tools, and narratological theorems play a central role in the exploration and modeling of our ability to produce and process narratives in a multitude of forms, media, contexts, and communicative practices."
Meister, J.C. 2014. "Narratology", in Hühn, Peter et al. (eds.): the living handbook of narratology. Hamburg: Hamburg University. URL = http://www.lhn.uni-hamburg.de/ [view date:12 Aug 2016]
The best and most accessible explanation and application of narratology and classics can be found in the books of Irene de Jong.
The living handbook of narratology
An online project of De Gruyter of the highest quality and stupefying scope.
Jong, Irene J. F. de ([1987] 2004). Narrators and Focalizers. The Presentation of the Story in the Iliad. London: Duckworth.
Jong, Irene J. F. de (1991). “Narratology and Oral Poetry: The Case of Homer.” Poetics Today12, 405–23.
Jong, Irene J. F. de (2001). A Narratological Commentary on the Odyssey. Cambridge: Cambridge UP.
Jong, Irene J. F. de (2014a). “After Auerbach. Ancient Greek Literature as Test Case of European Literary Historiography.” European Review 22,116–28.
Jong, Irene J. F. de (2014b). “The Anonymous Traveller in European Literature: a Greek Meme?” D. Cairns & R. Scodel (eds.). Defining Greek Narrative. Edinburgh: Edinburgh UP, 314–33.
Jong, Irene J. F. de et al., eds. (2004). Narrators, Narratees, and Narratives in Ancient Greek Literature. Studies in Ancient Greek Narrative 1. Leiden: Brill.
Jong, Irene J. F. de & René Nünlist, eds. (2007). Time in Ancient Greek Literature. Studies in Ancient Greek Narrative 2. Leiden: Brill.
Jong, Irene J. F. de, ed. (2012). Space in Ancient Greek Literature. Studies in Ancient Greek Narrative 3. Leiden: Brill.