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008 121095s1981 th uu m rtt 00| a1eng d
035 _a.b10495071
099 9 _aAIT SSPR no. CA-81-2
100 1 _aKao, Chung-cheng
245 1 0 _aPerformance evaluation of some ordinary differential equations solvers
260 _aBangkok :
_bAsian Institute of Technology,
_c1981
300 _a81 p.
490 1 _aSpecial studies project report ;
_vno. CA-81-2
500 _aA special study submitted in partial fulfilment of the requirements for the degree of Master of Engineering, School of Engineering and Technology
502 _aSpecial Studies Project Report (M. Eng.) - Asian Institute of Technology, 1981
520 _aThis 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.
650 0 _aDifferential equations
700 1 _aGupta, Gopal K.,
_eChairperson
700 1 _aHosking, Roger J.,
_eExamination Committee
700 1 _aMalik, Ghulam M.,
_eExamination Committee
710 2 _aThe Government of the Republic of China,
_eScholarship Donor
810 2 _aAsian Institute of Technology.
_tSpecial studies project report ;
_vno. CA-81-2
856 _3Full-Text
_uhttp://203.159.5.9/ait-thesis/detail.php?q=B21462
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