Software and algorithms for sensitivity analysis of large-scale differential algebraic systems. The authors describe the new software package DASPK 3.0 for the sensitivity analysis of large-scale differential algebraic equations. They outline the underlying algorithms for the sensitivity analysis and for the choice of consistent initial data. After a brief discussion of some implementation issues, in particular of parallel implementation, they present the results of some numerical experiments on differential algebraic equations arising from the discretisation of partial differential equations.

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  1. Daoutidis, Prodromos: DAEs in model reduction of chemical processes: an overview (2015)
  2. Elsheikh, Atiyah: An equation-based algorithmic differentiation technique for differential algebraic equations (2015)
  3. Lenz, Simon Manfred: Impulsive hybrid discrete-continuous delay differential equations (2014)
  4. Khelladi, Sofiane; Nogueira, Xesús; Bakir, Farid; Colominas, Ignasi: Toward a higher order unsteady finite volume solver based on reproducing kernel methods (2011)
  5. Pytlak, Radoslaw: Numerical procedure for optimal control of higher index DAEs (2011)
  6. Hannemann, Ralf; Marquardt, Wolfgang: Continuous and discrete composite adjoints for the Hessian of the Lagrangian in shooting algorithms for dynamic optimization (2010)
  7. Alexe, Mihai; Sandu, Adrian: Forward and adjoint sensitivity analysis with continuous explicit Runge-Kutta schemes (2009)
  8. Xie, Dexuan; Dash, Ranjan K.; Beard, Daniel A.: An improved algorithm and its parallel implementation for solving a general blood-tissue transport and metabolism model (2009)
  9. Gerhard, Johannes; Marquardt, Wolfgang; Mönnigmann, Martin: Normal vectors on critical manifolds for robust design of transient processes in the presence of fast disturbances (2008)
  10. Dehaan, Darryl; Guay, Martin: A new real-time method for nonlinear model predictive control (2007)
  11. King, A.A.; Cummings, L.J.; Naire, S.; Jensen, O.E.: Liquid film dynamics in horizontal and tilted tubes: Dry spots and sliding drops (2007)
  12. Meeker, Kirsten; Homescu, Chris; Petzold, Linda; El-Samad, Hana; Khammash, Mustafa; Söderlind, Gustaf: Digital filter stepsize control in DASPK and its effect on control optimization performance (2007)
  13. Pytlak, R.: Optimal control of differential-algebraic equations of higher index. I: First-order approximations (2007)
  14. Jeon, Moongu: Parallel optimal control with multiple shooting, constraints aggregation and adjoint methods (2005)
  15. Özyurt, Derya B.; Barton, Paul I.: Cheap second order directional derivatives of stiff ODE embedded functionals (2005)
  16. Naire, S.; Braun, R. J.; Snow, S. A.: A 2+1 dimensional insoluble surfactant model for a vertical draining free film. (2004)
  17. Cao, Yang; Li, Shengtai; Petzold, Linda; Serban, Radu: Adjoint sensitivity analysis for differential-algebraic equations: The adjoint DAE system and its numerical solution (2003)
  18. El-Samad, Hans; Khammash, Mustafa; Kurata, Hiroyuki; Doyle, John C.: Feedback regulation of the heat shock response in E. coli (2003)
  19. Howland, Paul; Lee, Steven; McInnes, Lois; Norris, Boyana; Barry, Smith: Challenges and opportunities in using automatic differentiation with object-oriented toolkits for scientific computing (2003)
  20. Lee, Steven L.; Woodward, Carol S.; Graziani, Frank: Analyzing radiation diffusion using time-dependent sensitivity-based techniques. (2003)

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