{ "id": "1907.06202", "version": "v1", "published": "2019-07-14T10:43:12.000Z", "updated": "2019-07-14T10:43:12.000Z", "title": "Wong-Zakai approximations with convergence rate for stochastic partial differential equations", "authors": [ "Toshiyuki Nakayama", "Stefan Tappe" ], "comment": "25 pages", "journal": "Stochastic Analysis and Applications 36(5):832-857, 2018", "categories": [ "math.PR", "cs.NA", "math.NA" ], "abstract": "The goal of this paper is to prove a convergence rate for Wong-Zakai approximations of semilinear stochastic partial differential equations driven by a finite dimensional Brownian motion. Several examples, including the HJMM equation from mathematical finance, illustrate our result.", "revisions": [ { "version": "v1", "updated": "2019-07-14T10:43:12.000Z" } ], "analyses": { "subjects": [ "60H15", "60G17" ], "keywords": [ "convergence rate", "wong-zakai approximations", "stochastic partial differential equations driven", "semilinear stochastic partial differential equations", "finite dimensional brownian motion" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 25, "language": "en", "license": "arXiv", "status": "editable" } } }