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U.S. Department of Energy
Office of Scientific and Technical Information

Toward a systematized collection of ODE solvers

Conference ·
OSTI ID:5180574
The growing number of good general purpose solvers for initial value problems for ordinary differential equation (ODE) systems has fueled discussions on the idea of a systematized collection of such solvers, ODEPACK. In recent years, a tentative user interface standard was developed, and an initial collection of five solvers was written. These solvers handle stiff and nonstiff problems in standard (explicit) form, problems in linearly implicit form, full Jacobians, banded Jacobians, general sparce Jacobians, and problems with rootfinding (g-stop) requirements. They include solvers with automatic (stiff/nonstiff) method selection. These solvers are described briefly here, and their capabilities are illustrated with an example problem arising from a PDE system.
Research Organization:
Lawrence Livermore National Lab., CA (USA)
DOE Contract Number:
W-7405-ENG-48
OSTI ID:
5180574
Report Number(s):
UCRL-87465; CONF-820810-6; ON: DE82012217
Country of Publication:
United States
Language:
English