Kao, Chung-cheng creator Gupta, Gopal K. Chairperson Hosking, Roger J. Examination Committee Malik, Ghulam M. Examination Committee The Government of the Republic of China Scholarship Donor text series technical report th Bangkok Asian Institute of Technology 1981 continuing eng 81 p. This study surveys the available software for solving non-stiff and stiff ordinary differential equations (ODEs). A survey of performance evaluation studies was made, and a performance of several ODE solvers was compared by using test package NEW DETEST. The results indicated that a variable order formula based on Adams methods could be best for non-stiff ODE if the function evaluations are very expensive. Otherwise, a code based on Runge-Kutta- Fehlberg orders of 7 and 8 is probably the best choice. On the other hand, it is difficult to choose between the two stiff ODE solvers (DSTIFF and LSODE) we have evaluated. Both solvers are quite efficient for solving most stiff ODEs. Attempts were made to improve the performance of the two stiff ODE solvers we have studied. Several simple changes were made to the codes and the performance of the changed codes was evaluated. We have found that overall performance of the codes can be improved by some simple changes we suggest. A special study submitted in partial fulfilment of the requirements for the degree of Master of Engineering, School of Engineering and Technology Special Studies Project Report (M. Eng.) - Asian Institute of Technology, 1981 Differential equations Asian Institute of Technology. http://203.159.5.9/ait-thesis/detail.php?q=B21462 http://203.159.5.9/ait-thesis/detail.php?q=B21462 121095 20260818171543.0