Subroutine DDASSL uses the backward differentiation formulas of orders one through five to solve a system of the above form for Y and YPRIME. Values for Y and YPRIME at the initial time must be given as input. These values must be consistent, (that is, if T,Y,YPRIME are the given initial values, they must satisfy G(T,Y,YPRIME) = 0.). The subroutine solves the system from T to TOUT. It is easy to continue the solution to get results at additional TOUT. This is the interval mode of operation. Intermediate results can also be obtained easily by using the intermediate-output capability.

References in zbMATH (referenced in 259 articles )

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  1. Vu-Quoc, L.; Olsson, M.: A computational procedure for interaction of high-speed vehicles on flexible structures without assuming known vehicle nominal motion (1989)
  2. Adjerid, Slimane; Flaherty, Joseph E.: A local refinement finite-element method for two-dimensional parabolic systems (1988)
  3. Adjerid, Slimane; Flaherty, Joseph E.: Second-order finite element approximations and a posteriori error estimation for two-dimensional parabolic systems (1988)
  4. Dieci, Luca; Osborne, Michael R.; Russell, Robert D.: A Riccati transformation method for solving linear BVPs. II: Computational aspects (1988)
  5. Leis, Jorge R.; Kramer, Mark A.: The simultaneous solution and sensitivity analysis of systems described by ordinary differential equations (1988)
  6. Roche, Michel: Rosenbrock methods for differential algebraic equations (1988)
  7. Byrne, George D.; Hindmarsh, Alan C.: Stiff ODE solvers: A review of current and coming attractions (1987)
  8. Deuflhard, P.; Hairer, E.; Zugck, J.: One-step and extrapolation methods for differential-algebraic systems (1987)
  9. Deuflhard, P.; Nowak, U.: Extrapolation integrators for quasilinear implicit ODEs (1987)
  10. Petzold, Linda R.: Observations on an adaptive moving grid method for one-dimensional systems of partial differential equations (1987)
  11. Warnatz, J.: Numerical problems arising from the simulation of combustion phenomena (1987)
  12. Adjerid, Slimane; Flaherty, Joseph E.: A moving-mesh finite element method with local refinement for parabolic partial differential equations (1986)
  13. Adjerid, Slimane; Flaherty, Joseph E.: A moving finite element method with error estimation and refinement for one-dimensional time dependent partial differential equations (1986)
  14. Berzins, M.: A (C^ 1) interpolant for codes based on backward differentiation formulae (1986)
  15. Petzold, Linda; Lötstedt, Per: Numerical solution of nonlinear differential equations with algebraic constraints. II: Practical implications (1986)
  16. Campbell, Stephen L.: The numerical solution of higher index linear time varying singular systems of differential equations (1985)
  17. Gupta, Gopal K.; Sacks-Davis, Ron; Tischer, Peter E.: A review of recent developments in solving ODEs (1985)
  18. Gear, C. W.; Petzold, L. R.: ODE methods for the solution of differential/algebraic systems (1984)
  19. Rheinboldt, Werner C.: Differential-algebraic systems as differential equations on manifolds (1984)

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