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.

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  1. Kleefeld, B.; Martín-Vaquero, J.: SERK2v3: Solving mildly stiff nonlinear partial differential equations (2016)
  2. Nguyen-Ba, Truong: On variable step Hermite-Birkhoff solvers combining multistep and 4-stage DIRK methods for stiff ODEs (2016)
  3. Campbell, Stephen L.: The flexibility of DAE formulations (2015)
  4. Nguyen-Ba, Truong; Giordano, Thierry; Vaillancourt, Rémi: Three-stage Hermite-Birkhoff solver of order 8 and 9 with variable step size for stiff ODEs (2015)
  5. Rasheed, Amer; Wahab, Abdul: Numerical analysis of an isotropic phase-field model with magnetic-field effect (2015)
  6. Hinze, Michael; Matthes, Ulrich: Model order reduction for networks of ODE and PDE systems (2013)
  7. Balmforth, N.J.; Vakil, A.: Cyclic steps and roll waves in shallow water flow over an erodible bed (2012)
  8. Bandurin, N.G.; Gureeva, N.A.: A software package for the numerical solution of systems of essentially nonlinear ordinary integro-differential-algebraic equations (2012)
  9. Bu, Sunyoung; Huang, Jingfang; Minion, Michael L.: Semi-implicit Krylov deferred correction methods for differential algebraic equations (2012)
  10. Gander, Martin J.; Haynes, Ronald D.: Domain decomposition approaches for mesh generation via the equidistribution principle (2012)
  11. Hinze, Michael; Kunkel, Martin: Discrete empirical interpolation in POD model order reduction of drift-diffusion equations in electrical networks (2012)
  12. Hinze, M.; Kunkel, M.: Residual based sampling in POD model order reduction of drift-diffusion equations in parametrized electrical networks (2012)
  13. Ma, Jingtang; Huang, Weizhang; Russell, Robert D.: Analysis of a moving collocation method for one-dimensional partial differential equations (2012)
  14. Métivier, Ludovic; Montarnal, Philippe: Strategies for solving index one DAE with non-negative constraints: Application to liquid-liquid extraction (2012)
  15. Rasheed, A.; Belmiloudi, A.: An analysis of a phase-field model for isothermal binary alloy solidification with convection under the influence of magnetic field (2012)
  16. Blajer, Wojciech: Methods for constraint violation suppression in the numerical simulation of constrained multibody systems - A comparative study (2011)
  17. Bonilla, J.; Yebra, L.J.; Dormido, S.: A heuristic method to minimise the chattering problem in dynamic mathematical two-phase flow models (2011)
  18. Burgermeister, Bernhard; Arnold, Martin; Eichberger, Alexander: Smooth velocity approximation for constrained systems in real-time simulation (2011)
  19. Felez, Jesus; Romero, Gregorio; Maroto, Joaquín; Martinez, María L.: Simulation of multi-body systems using multi-bond graphs (2011)
  20. Hafner, Simon; Rashidi, Arash; Baldea, Georgiana; Riedel, Uwe: A detailed chemical kinetic model of high-temperature ethylene glycol gasification (2011)

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