DASSL

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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  2. Bruni, Stefano; Meijaard, J. P.; Rill, Georg; Schwab, A. L.: State-of-the-art and challenges of railway and road vehicle dynamics with multibody dynamics approaches (2020)
  3. Rozhdestvensky, Kirill; Ryzhov, Vladimir; Fedorova, Tatiana; Safronov, Kirill; Tryaskin, Nikita; Sulaiman, Shaharin Anwar; Ovinis, Mark; Hassan, Suhaimi: Computer modeling and simulation of dynamic systems using Wolfram SystemModeler (2020)
  4. Tang, Xiao; Xiao, Aiguo: Improved Runge-Kutta-Chebyshev methods (2020)
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  6. Green, Kevin R.; Spiteri, Raymond J.: Extended \textttBACOLI: solving one-dimensional multiscale parabolic PDE systems with error control (2019)
  7. Stechlinski, Peter; Patrascu, Michael; Barton, Paul I.: Nonsmooth DAEs with applications in modeling phase changes (2019)
  8. Kelley, C. T.: Numerical methods for nonlinear equations (2018)
  9. Zhang, Cheng; Huang, Jingfang; Wang, Cheng; Yue, Xingye: On the operator splitting and integral equation preconditioned deferred correction methods for the “good” Boussinesq equation (2018)
  10. Alharbi, Abdulghani; Naire, Shailesh: An adaptive moving mesh method for thin film flow equations with surface tension (2017)
  11. Burger, Michael; Gerdts, Matthias: A survey on numerical methods for the simulation of initial value problems with sDAEs (2017)
  12. Dubrovina, Elizaveta; Craster, Richard V.; Papageorgiou, Demetrios T.: Two-layer electrified pressure-driven flow in topographically structured channels (2017)
  13. McKenzie, Ross; Pryce, John: Structural analysis based dummy derivative selection for differential algebraic equations (2017)
  14. Simeon, Bernd: On the history of differential-algebraic equations. A retrospective with personal side trips (2017)
  15. Hupkes, H. J.; Van Vleck, E. S.: Travelling waves for complete discretizations of reaction diffusion systems (2016)
  16. Kleefeld, B.; Martín-Vaquero, J.: SERK2v3: Solving mildly stiff nonlinear partial differential equations (2016)
  17. Martín-Vaquero, J.; Kleefeld, B.: Extrapolated stabilized explicit Runge-Kutta methods (2016)
  18. Mirshekari, Elham; Spiteri, Raymond J.: Extending BACOLI to solve the monodomain model (2016)
  19. Nguyen-Ba, Truong: On variable step Hermite-Birkhoff solvers combining multistep and 4-stage DIRK methods for stiff ODEs (2016)
  20. Nguyen-Ba, Truong; Giordano, Thierry: On variable step highly stable 4-stage Hermite-Birkhoff solvers for stiff ODEs (2016)

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