▁mathematics ▁at ▁Manchester ▁University . ▁He ▁was ▁awarded ▁a ▁Ph D ▁in ▁ 1 9 4 4 ▁for ▁research ▁on ▁the ▁N umer ical ▁Integr ation ▁of ▁Part ial ▁D iffer ential ▁Equ ations . ▁ ▁He ▁worked ▁with ▁the ▁research ▁department ▁of ▁the ▁L MS ▁Railway ▁from ▁ 1 9 3 5 ▁to ▁ 1 9 4 0 . ▁He ▁often ▁described ▁his ▁relief ▁when ▁his ▁calculations ▁of ▁the ▁performance ▁of ▁a ▁new ▁bra king ▁system ▁were ▁tested ▁successfully ▁on ▁a ▁real ▁steam ▁locomot ive ▁complete ▁with ▁s cept ical ▁crew . ▁ ▁During ▁the ▁war ▁he ▁worked ▁in ▁research ▁establish ments ▁on ▁numerical ▁analysis , ▁under ▁exper ts ▁including ▁Douglas ▁Hart ree , ▁and ▁using ▁equipment ▁such ▁as ▁early ▁mechanical ▁differential ▁analyz ers . ▁This ▁was ▁applied ▁to ▁various ▁problems ▁including ▁the ▁atomic ▁bomb ▁project ▁code - named ▁T ube ▁Al lo ys . ▁ ▁In ▁ 1 9 4 8 ▁he ▁became ▁head ▁of ▁the ▁Comput ing ▁Section ▁in ▁The oret ical ▁Physics ▁Division , ▁A ERE ▁Har well . ▁He ▁worked ▁on ▁many ▁of ▁the ▁early ▁re actor ▁projects . ▁ ▁In ▁ 1 9 6 6 ▁he ▁was ▁elected ▁Fellow ▁of ▁St ▁Cross ▁College , ▁Oxford . ▁He ▁was ▁a ▁member ▁of ▁the ▁Institution ▁of ▁Elect rical ▁Engine ers , ▁a ▁Fellow ▁of ▁the ▁Royal ▁Statist ical ▁Society ▁and ▁a ▁Fellow ▁of ▁the ▁Institute ▁of ▁Mathemat ics ▁and ▁its ▁App lications . ▁ ▁He ▁was ▁appointed ▁a ▁C BE ▁in ▁the ▁New ▁Years ▁Hon ours ▁List ▁of ▁