Solution of structured non-stiff ODEs

Technical Report · Thu Nov 01 00:00:00 EST 1984

OSTI ID:6120219

Shampine, L F

The solution of the initial value problem for a system of ordinary differential equations (ODEs), y' = f(x,y), by Runge-Kutta methods is considered. The structure to be exploited is that a large portion of the cost of evaluating f(x,y) arises in the evaluation of functions of the independent variable x only. It is shown that when the structure is favorable, there are methods which are considerably more efficient than those currently used in general purpose codes.

• Research Organization: Sandia National Labs., Albuquerque, NM (USA)
• DOE Contract Number: AC04-76DP00789
• OSTI ID: 6120219
• Report Number(s): SAND-84-2189; ON: DE85004137
• Resource Relation: Other Information: Portions are illegible in microfiche products. Original copy available until stock is exhausted
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
ANALYTICAL SOLUTION
PROGRAMMING
RUNGE-KUTTA METHOD
EQUATIONS
ITERATIVE METHODS
NUMERICAL SOLUTION
658000* - Mathematical Physics- (-1987)