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. Segeth, Karel: Grid adjustment for parabolic systems based on a posteriori error estimates (1995)
  2. Blom, J. G.; Zegeling, P. A.: Algorithm 731: A moving-grid interface for systems of one-dimensional time-dependent partial differential equations (1994)
  3. Brown, Peter N.; Hindmarsh, Alan C.; Petzold, Linda R.: Using Krylov methods in the solution of large-scale differential-algebraic systems (1994)
  4. Hall, C. A.; Lei, X.; Rabier, P. J.: A nonstandard symmetry breaking phenomenon in sheet metal stretching (1994)
  5. Kunkel, Peter; Mehrmann, Volker: A new look at pencils of matrix valued functions (1994)
  6. Segeth, Karel: A posteriori error estimates for parabolic differential systems solved by the finite element method of lines (1994)
  7. Adjerid, Slimane; Flaherty, Joseph E.; Wang, Yun J.: A posteriori error estimation with finite element methods of lines for one-dimensional parabolic systems (1993)
  8. Bank, Randolph E.; Santos, Rafael F.: Analysis of some moving space-time finite element methods (1993)
  9. Braun, R. J.; McFadden, G. B.; Murray, B. T.; Coriell, S. R.; Glicksman, M. E.; Selleck, M. E.: Asymptotic behavior of modulated Taylor-Couette flows with a crystalline inner cylinder (1993)
  10. Hall, C. A.; de Carlo, L. E.; Wenner, M. L.; Troyani, N. L.: Elastic-viscoplastic differential equations on a manifold modelling of in-plane stretching of sheet metal (1993)
  11. Segeth, Karel: Grid adjustment based on a posteriori error estimators (1993)
  12. Yen, Jeng: Constrained equations of motion in multibody dynamics as ODEs on manifolds (1993)
  13. Dieci, Luca: Numerical integration of the differential Riccati equation and some related issues (1992)
  14. Kunkel, P.; Mehrmann, V.: Errata: Numerical solution of differential algebraic Riccati equations (1992)
  15. Murthy, A. S. Vasudeva; Verwer, J. G.: Solving parabolic integro-differential equations by an explicit integration method (1992)
  16. ten Dam, A. A.: Stable numerical integration of dynamical systems subject to equality state-space constraints (1992)
  17. Wathen, A. J.: Optimal moving grids for time-dependent partial differential equations (1992)
  18. Anantharaman, Martin; Hiller, Manfred: Numerical simulation of mechanical systems using methods for differential-algebraic equations (1991)
  19. Führer, C.; Leimkuhler, B.: A new class of generalized inverses for the solution of discretized Euler--Lagrange equations (1991)
  20. Führer, C.; Leimkuhler, B. J.: Numerical solution of differential-algebraic equations for constrained mechanical motion (1991)

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