Variable order Runge--Kutta code RKSW and its performance. [In FORTRAN and FLECS for CDC6600]

Technical Report · Sat Jul 01 04:00:00 EDT 1978

OSTI ID:6623811

Shampine, L F; Wisniewski, J A

The code RKSW was written for the solution of the initial-value problem for non-stiff and mildly stiff ordinary differential equations when evaluation of the equations is not expensive. It is efficient for a wide range of accuracies. Many algorithms in RKSW are unique, or at least novel for a production-grade Runge--Kutta code. Listings are provided for the code in FLECS and FORTRAN, as are extensive numerical results illustrating its performance. To assist in the evaluation of the code, its performance is compared to that of the two best fixed-order Runge--Kutta codes, RKF45 and DVERK, and to a Gragg--Bulirsch--Stoer extrapolation code, DREBS, which varies its order. (RWR)

• Research Organization: Sandia Labs., Albuquerque, NM (USA)
• DOE Contract Number: EY-76-C-04-0789
• OSTI ID: 6623811
• Report Number(s): SAND-78-1347
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS
990200* -- Mathematics & Computers
BOUNDARY-VALUE PROBLEMS
CDC COMPUTERS
COMPARATIVE EVALUATIONS
COMPUTER CODES
COMPUTERS
DIFFERENTIAL EQUATIONS
EFFICIENCY
EQUATIONS
FORTRAN
ITERATIVE METHODS
NUMERICAL SOLUTION
PERFORMANCE
PROGRAMMING LANGUAGES
R CODES
RUNGE-KUTTA METHOD
STABILITY