We describe numerical methods for constructing lump solutions in open strin
g field theory. According to Sen, these lumps represent lower dimensional D
p branes and numerical evaluation of their energy can be compared with the
expected value for the tension. We take particular care of all higher deriv
ative terms inherent in Witten's version of open string field theory. The i
mportance of these terms for off shell phenomena is argued in the text. Det
ailed numerical calculations done for the case of general p brane show very
good agreement with Sen's conjectured value. This gives credence to the co
njecture itself and establishes further the usefulness of Witten's version
of SFT. (C) 2000 Elsevier Science B.V. All rights reserved.