United States National Research Council | National Research Council | Commonwealth Scientific and Industrial Research Organisation | research | Agricultural Research Service | Office of Naval Research | St. Jude Children's Research Hospital | Cancer Research UK | Medical Research Council (UK) | Medical Research Council | Getty Research Institute | Research Triangle Park | Industrial Research Institute | Australian Research Council | National Center for Atmospheric Research | Langley Research Center | Social Science Research Council | research and development | Research | Nielsen Media Research | Economic and Social Research Council | District Councils of Hong Kong | Canadian Institute for Advanced Research | Bhabha Atomic Research Centre | American Schools of Oriental Research | United Nations Institute for Training and Research | Thomas J. Watson Research Center | Tata Institute of Fundamental Research | National Research Council (Canada) | Ballistic Research Laboratory |
Cheney was awarded grants for his research on approximation theory from the National Science Foundation, United States Air Force and United States Army as well as the UK Research Councils and the Italian Scientific Research Council, among others.