A comparison of numerical integration subroutines for ordinary differential equation initial value problems (ODEIVP) using detest

By: Call Number: AIT SSPR no. CA-80-4 Contributor(s): Material type: SeriesSeries: Asian Institute of Technology. Special studies project report ; no. CA-80-4Publication details: Bangkok : Asian Institute of Technology, 1980Description: 93 pSubject(s): Online resources: Dissertation note: Special Studies Project Report (M. Eng.) - Asian Institute of Technology, 1980 Summary: Comparison of subroutines for solving ordinary differential equation initial value problems (ODEIVP) may be made by using an established test package DETEST. After a literature review, the necessary preparation of subroutines for testing under DETEST is described, and the performance statistics for efficiency and reliability obtained for four subroutines are summarized . It appears that subroutine VOAS based on the variable order Adams method is superior to all three Runge-Kutta codes tested (viz. RKF7, RKF45, RKSW), except perhaps at low accuracy if function calls are inexpensive .
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A special studies submitted in partial fulfillment 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, 1980

Comparison of subroutines for solving ordinary differential equation initial value problems (ODEIVP) may be made by using an established test package DETEST. After a literature review, the necessary preparation of subroutines for testing under DETEST is described, and the performance statistics for efficiency and reliability obtained for four subroutines are summarized . It appears that subroutine VOAS based on the variable order Adams method is superior to all three Runge-Kutta codes tested (viz. RKF7, RKF45, RKSW), except perhaps at low accuracy if function calls are inexpensive .

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