работа/работоспособность/использование/функционирование (пользовательских) приложений/компьютеров на стороне пользователя

Выбор зависит от конкретного контекста, т.е. от того, что именно поддерживает служба. В любом случае речь не только о “вычислениях”. Понятие “computing” значительно шире.

Client Computing
(1) Running a program in a user's machine. Contrast with processing in a server.
(2) Users at their computers interacting with servers on the Internet.
(3) Using a computer in the network with limited application processing.
https://www.pcmag.com/encyclopedia/term/56395/client-computi...

Computing is any activity that uses computers. It includes developing hardware and software, and using computers to manage and process information, communicate and entertain.
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"In a general way, we can define computing to mean any goal-oriented activity requiring, benefiting from, or creating computers. Thus, computing includes designing and building hardware and software systems for a wide range of purposes; processing, structuring, and managing various kinds of information; doing scientific studies using computers; making computer systems behave intelligently; creating and using communications and entertainment media; finding and gathering information relevant to any particular purpose, and so on. The list is virtually endless, and the possibilities are vast."
https://en.wikipedia.org/wiki/Computing