• # VODE

• Referenced in 207 articles [sw01005]
• numerical solution of (stiff and non-stiff) systems of ordinary differential equations. The new package ... order change are used. Moreover, in the stiff case, the code has the possibility ... backward differentiation formula methods for stiff systems. They find that the first ones performs better...
• # LSODE

• Referenced in 135 articles [sw04374]
• Ordinary Differential Equations) solves stiff and nonstiff systems of the form dy/dt ... Gear methods) in the stiff case. The linear systems that arise are solved by direct...
• # ODEPACK

• Referenced in 200 articles [sw08341]
• initial value problem for ordinary differential equation systems. It consists of nine solvers, namely ... collection is suitable for both stiff and nonstiff systems. It includes solvers for systems given...
• # MEBDF

• Referenced in 85 articles [sw00567]
• numerical solution of large sparse systems of stiff initial value problems. An efficient algorithm ... numerical integration of large sparse systems of stiff initial value ordinary differential equations and differential...
• # ROWMAP

• Referenced in 49 articles [sw09627]
• code ROWMAP for the integration of stiff initial value problems. It is based ... Krylov techniques for the solution of linear systems. A special multiple Arnoldi process ensures order ... efficiency of ROWMAP for large stiff systems. Furthermore, the application to nonautonomous systems is discussed...
• # LSODA

• Referenced in 30 articles [sw27217]
• Equation Solver for Stiff or Non-Stiff System. LSODA, written jointly with L. R. Petzold ... systems dy/dt = f with a dense or banded Jacobian when the problem is stiff...
• # CVODE

• Referenced in 62 articles [sw04947]
• solver for stiff and nonstiff ordinary differential equation (ODE) systems (initial value problem) given ... order varying between 1 and 12. For stiff problems, CVODE includes the Backward Differentiation Formulas ... either choice of formula, the resulting nonlinear system is solved (approximately) at each integration step...
• # GEARBI

• Referenced in 10 articles [sw09630]
• predecessor to LSODE). It solves stiff and nonstiff systems, using BDF and Adams methods ... that, in the case of stiff systems, it uses a block-iterative method, Block...
• # ATOMFT

• Referenced in 41 articles [sw09274]
• ATOMFT system, based on a Taylor series method, is designated to solve stiff and nonstiff ... equations. In the paper applications of this system to various problems are given...
• # CARP-CG

• Referenced in 10 articles [sw00105]
• sweep on the equations of a linear system, using a fixed relaxation parameter. CGMN ... without various preconditioners, on some stiff linear systems derived from convection dominated elliptic partial differential...
• # CHEMSODE

• Referenced in 11 articles [sw00124]
• ODEs describing a chemical kinetics system can be very stiff and are the most computationally ... their ability to solve these chemical ODE systems both accurately and efficiently. These problems ... implicit numerical method due to the stiffness that is usually present. The implicit solution technique ... overhead necessary to solve the nonlinear algebraic system derived from the implicit time-stepping method...
• # IRKC

• Referenced in 20 articles [sw00452]
• intended for the time integration of systems of partial differential equations (PDEs) of diffusion-reaction ... stiff reactions, are not coupled over the spatial grid points. Hence, the systems ... that solves similar problems without stiff reaction terms...