[en] Two kinds of RFQ linacs have been designed using the computer code PARMTEQ. One is capable of heavy ions up to uranium, and the output beam is fed to a 25 MHz drift tube linac. The beam is accelerated to 45 keV/u at U⁴⁺, or 30 keV/u at U⁵⁺, through an about 8 m long linac. The output beam current is several emA. The other is for lighter ions, Ne⁴⁺ or Ar⁶⁺. The output energy is 1 MeV/u, and the beam is injected into a 100 MHz Alvarez linac. The operation frequency is 100 MHz, and the overall vane length is around 8 m. As the voltage of the ion source is as low as 35 kV, the system will be a compact one. In the NUMATRON the 100 MHz RFQ will be located beside low-beta drift tube linacs for heavy ions, and it will be more promising to perform a time sharing acceleration of different ion beams. (author)