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Toward a Systematized Collection of ODE Solvers.

DE82012217

Publication Date	1982
Personal Author	Hindmarsh, A. C.
Page Count	4
Abstract	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. (ERA citation 07:048963)
Keywords	Differential equations Jacobian function Numerical solution Analytical solution Computer codes Computer calculations ERDA/990200
Source Agency	Technical Information Center Oak Ridge Tennessee
NTIS Subject Category	62B - Computer Software 72B - Algebra, Analysis, Geometry, & Mathematical Logic
Corporate Authors	Lawrence Livermore National Lab., CA.; Department of Energy, Washington, DC.
Supplemental Notes	10. international mathematics and computers simulation congress on systems simulation and scientific computation, Montreal, Canada, 9 Aug 1982, Portions of document are illegible.
Document Type	Conference Proceedings
NTIS Issue Number	198308
Contract Number	W-7405-ENG-48

Toward a Systematized Collection of ODE Solvers.

Toward a Systematized Collection of ODE Solvers.
DE82012217

Publication Date	1982
Personal Author	Hindmarsh, A. C.
Page Count	4
Abstract	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. (ERA citation 07:048963)
Keywords	Differential equations Jacobian function Numerical solution Analytical solution Computer codes Computer calculations ERDA/990200
Source Agency	Technical Information Center Oak Ridge Tennessee
NTIS Subject Category	62B - Computer Software 72B - Algebra, Analysis, Geometry, & Mathematical Logic
Corporate Authors	Lawrence Livermore National Lab., CA.; Department of Energy, Washington, DC.
Supplemental Notes	10. international mathematics and computers simulation congress on systems simulation and scientific computation, Montreal, Canada, 9 Aug 1982, Portions of document are illegible.
Document Type	Conference Proceedings
NTIS Issue Number	198308
Contract Number	W-7405-ENG-48