ASME and IEEE are citation and style guidelines used by different branches of engineering. ASME stands for the American Society of Mechanical Engineers; IEEE is the Institute for Electrical and Electronics Engineers. Both are professional organizations that publish peer-reviewed journals.
For ASME and IEEE references lists, you will list your sources in the order that they're cited in the text of your paper. Number your sources sequentially, starting with 1. The number of the reference should appear in brackets [ ] at the beginning of your full citation, flush with the left margin of the page. This bracketed number is what you will use for your in-text citation.
In the text of your paper, these bracketed numbers can be treated like nouns or like footnote numbers. For example:
For more detail, see the guidelines below from each organization.
NOTE: There are two different sets of guidelines on the ASME website about citations and references. Be sure to use the one that matches the guidelines given to you by your professor!