{ "id": "1306.5172", "version": "v1", "published": "2013-06-21T15:30:34.000Z", "updated": "2013-06-21T15:30:34.000Z", "title": "Numerical methods for convection-diffusion problems or The 30 years war", "authors": [ "Martin Stynes" ], "comment": "9 pages", "categories": [ "math.NA" ], "abstract": "Convection-diffusion problems arise in the modelling of many physical processes. Their typical solutions exhibit boundary and/or interior layers. Despite the linear nature of the differential operator, these problems pose still-unanswered questions to the numerical analyst. This talk will give a selective overview of numerical methods for the solution of convection-diffusion problems, while placing them in a historical context. It examines the principles that underpin the competing numerical techniques in this area and presents some recent developments.", "revisions": [ { "version": "v1", "updated": "2013-06-21T15:30:34.000Z" } ], "analyses": { "keywords": [ "numerical methods", "convection-diffusion problems arise", "problems pose still-unanswered questions", "linear nature", "differential operator" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1306.5172S" } } }