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. Alharbi, Abdulghani; Naire, Shailesh: An adaptive moving mesh method for thin film flow equations with surface tension (2017)
  2. McKenzie, Ross; Pryce, John: Structural analysis based dummy derivative selection for differential algebraic equations (2017)
  3. Hupkes, H.J.; Van Vleck, E.S.: Travelling waves for complete discretizations of reaction diffusion systems (2016)
  4. Kleefeld, B.; Martín-Vaquero, J.: SERK2v3: Solving mildly stiff nonlinear partial differential equations (2016)
  5. Martín-Vaquero, J.; Kleefeld, B.: Extrapolated stabilized explicit Runge-Kutta methods (2016)
  6. Mirshekari, Elham; Spiteri, Raymond J.: Extending BACOLI to solve the monodomain model (2016)
  7. Nguyen-Ba, Truong: On variable step Hermite-Birkhoff solvers combining multistep and 4-stage DIRK methods for stiff ODEs (2016)
  8. Nguyen-Ba, Truong; Giordano, Thierry: On variable step highly stable 4-stage Hermite-Birkhoff solvers for stiff ODEs (2016)
  9. Ong, Benjamin W.; Haynes, Ronald D.; Ladd, Kyle: Algorithm 965: RIDC methods: a family of parallel time integrators (2016)
  10. Andersson, C., Führer, C., Åkesson, J.: Assimulo: A unified framework for ODE solvers (2015)
  11. Campbell, Stephen L.: The flexibility of DAE formulations (2015)
  12. Hay, A.; Etienne, S.; Pelletier, D.; Garon, A.: Hp-adaptive time integration based on the BDF for viscous flows (2015)
  13. 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)
  14. Rasheed, Amer; Wahab, Abdul: Numerical analysis of an isotropic phase-field model with magnetic-field effect (2015)
  15. Savard, B.; Xuan, Y.; Bobbitt, B.; Blanquart, G.: A computationally-efficient, semi-implicit, iterative method for the time-integration of reacting flows with stiff chemistry (2015)
  16. Hinze, Michael; Matthes, Ulrich: Model order reduction for networks of ODE and PDE systems (2013)
  17. Balmforth, N.J.; Vakil, A.: Cyclic steps and roll waves in shallow water flow over an erodible bed (2012)
  18. Bandurin, N.G.; Gureeva, N.A.: A software package for the numerical solution of systems of essentially nonlinear ordinary integro-differential-algebraic equations (2012)
  19. Bu, Sunyoung; Huang, Jingfang; Minion, Michael L.: Semi-implicit Krylov deferred correction methods for differential algebraic equations (2012)
  20. Gander, Martin J.; Haynes, Ronald D.: Domain decomposition approaches for mesh generation via the equidistribution principle (2012)

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