English

Numerical methods for convection-diffusion problems or The 30 years war

Numerical Analysis 2013-06-24 v1

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.

Keywords

Cite

@article{arxiv.1306.5172,
  title  = {Numerical methods for convection-diffusion problems or The 30 years war},
  author = {Martin Stynes},
  journal= {arXiv preprint arXiv:1306.5172},
  year   = {2013}
}

Comments

9 pages

R2 v1 2026-06-22T00:38:12.210Z