Journal of Computational Physics
SUNDIALS: Suite of nonlinear and differential/algebraic equation solvers
ACM Transactions on Mathematical Software (TOMS) - Special issue on the Advanced CompuTational Software (ACTS) Collection
Adjoint pairs of differential-algebraic equations and Hamiltonian systems
Applied Numerical Mathematics - Tenth seminar on and differential-algebraic equations (NUMDIFF-10)
Development of a data assimilation algorithm
Computers & Mathematics with Applications
A parallel computational model for sensitivity analysis in optimization for robustness
Optimization Methods & Software
On the discrete adjoints of adaptive time stepping algorithms
Journal of Computational and Applied Mathematics
Adjoint pairs of differential-algebraic equations and Hamiltonian systems
Applied Numerical Mathematics
On some computational aspects of the variational data assimilation techniques
NMA'06 Proceedings of the 6th international conference on Numerical methods and applications
SIAM Journal on Scientific Computing
Non-uniqueness in reverse time of hybrid system trajectories
HSCC'05 Proceedings of the 8th international conference on Hybrid Systems: computation and control
Optimal design of neuro-mechanical oscillators
Computers and Structures
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An adjoint sensitivity method is presented for parameter-dependent differential-algebraic equation systems (DAEs). The adjoint system is derived, along with conditions for its consistent initialization, for DAEs of index up to two (Hessenberg). For stable linear DAEs, stability of the adjoint system (for semi-explicit DAEs) or of an augmented adjoint system (for fully implicit DAEs) is shown. In addition, it is shown for these systems that numerical stability is maintained for the adjoint system or for the augmented adjoint system.