'proceed faster' is correct and usable in written English.
You can use it to indicate a need for speed in an ongoing process. For example, "We must proceed faster if we want to finish this project by the end of the month."
These processes proceed faster with increasing temperature.
With long poles they adjusted the pyres to direct a better draft so that the cremation could proceed faster.
But she didn't want to scare him away or, worse, put pressure on the relationship to proceed faster than it otherwise would.
Although N2O gives the same intermediate (O) as O2 does, the former decomposition seems to proceed faster than the latter on CoMgO.
An overall good agreement between simulation and experiment were observed, but the PTR scheme predicted the twinning process to proceed faster than observed experimentally.
It was observed that combustion of lignite chars in the agitated beds proceed faster and lasted in shorter times as expected, mainly due to the removal of ash layer by agitation during the period of char combustion.
It is unlikely such an attack will proceed fast enough or go far enough.
Until it's more widely understood how much and to whom the benefits of 5G applications will flow, build-out may not proceed fast enough to compete with other early-adopting countries, notably China.
The reactions proceed fast coupled with catalyst deactivation, and catalytic cracking happened simultaneously with thermal cracking.
"The state attorney told me he was proceeding faster than he would like," Lazarus said.
Or simply proceeding faster due to our new, traffic-free and excellent-quality roads?
