The IBM Ph.D. Fellowship Awards Program is an intensely competitive worldwide program, which honors exceptional Ph.D. students who have an interest in solving problems that are important to IBM and fundamental to innovation in many academic disciplines and areas of study. Students must be nominated by a doctoral faculty member and enrolled full-time in a college or university Ph.D. program.

https://www.ibm.com/developerworks/university/phdfellowship/

For other opportunities see:

http://scholarships.fatomei.com/engineering-scholarships.html 

http://scholarships.fatomei.com/chemistry.html