English to Chinese Law/Patents Law (general)

Violation of this provision carries criminal penalties, including a fine of up to $1 million and a maximum of 10 years imprisonment for “know- ingly” making a false certification and a fine of up to $5 million and a maximum of 20 years imprisonment for “willfully” doing so.
knowingly译作“明知”，willfully译作“有预谋地”？或者可否将knowingly译作“间接故意”，willfully译作“直接故意”？请赐教。