0=F(x,x',t) | (1) |
x(t_{0})=x_{0} |
Authors: |
Peter Kunkel,
Universität Leipzig,
Mathematisches Institut
Volker Mehrmann, Technische Universität Berlin, Institut für Mathematik Ingo Seufer, Technische Universität Berlin, Institut für Mathematik |
Purpose: | GENDA performs the numerical integration of nonlinear DAEs (1) of arbitrary index. |
Method: | The DAE (1) will be integrated by the implicit Runge-Kutta method of type RADAU IIa of order 5 based on an equivalent strangeness-free formulation of the DAE with the same local solution set. |
Documentation: | A printed documentation [C] is available. |
Support: | Technical questions about the proper use of a software package should be directed to the authors of that package. |
Disclaimer: | Warranty disclaimer: The software is supplied "as is"
without warranty of any kind.
The copyright holder: (1) disclaim any warranties, express or
implied, including but not limited to any implied warranties
of merchantability, fitness for a particular purpose, title
or non-infringement, (2) do not assume any legal liability
or responsibility for the accuracy, completeness, or
usefulness of the software, (3) do not represent that use of
the software would not infringe privately owned rights, (4)
do not warrant that the software will function
uninterrupted, that it is error-free or that any errors will
be corrected.
Limitation of liability: In no event will the copyright holder: be liable for any indirect, incidental, consequential, special or punitive damages of any kind or nature, including but not limited to loss of profits or loss of data, for any reason whatsoever, whether such liability is asserted on the basis of contract, tort (including negligence or strict liability), or otherwise, even if any of said parties has been warned of the possibility of such loss or damages. |
Download: |
[A] | Peter Kunkel and Volker Mehrmann. A new class of discretization methods for the solution of linear differential-algebraic equations with variable coefficients. SIAM J. Numer. Anal., Vol. 33, No.5, pp. 1941-1961, October 1996. | ||||
[B] | Peter Kunkel and Volker Mehrmann. Differential-Algebraic Equations - Analysis and Numerical Solution, EMS Publishing House, Zürich, 2006 | ||||
[C] | Peter Kunkel, Volker Mehrmann and Ingo Seufer. GENDA: A software package for the solution of General Nonlinear Differential-Algebraic equations, Institut für Mathematik, Technische Universität Berlin, number 730-02. 2002. |
[1] | K. E. Brenan, S. L. Campbell and L. R. Petzold. Numerical Solution of Initial-Value Problems in Differential Algebtraic Equations, Elsevier, North Holland, New York, N.Y., 1989. |
[2] | S. L. Campbell. Comment on controlling generalized state-space (descriptor) systems, Internat. J. Control, 46 (1987), pp. 2229-2230. |
[3] | S. L. Campbell. Nonregular descriptor systems with delays, in Proc. Symp. Implicit & Nonlinear Systems, Dallas, 1992, pp. 275-281. |
[4] | P. Deuflhard, E. Hairer amg J. Zugck. One step and extrapolation methods for differential-algebraic systems, Numer. Math., 51 (1987), pp. 501-516. |
[5] | C. W. Gear. Differential-algebraic equations index transformations, SIAM J. Sci. Statist. Comput., 9 (1988), pp. 39-47. |
[6] | E. Hairer, C. Lubich and M. Roche. The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods, Lecture Notes in Mathematics No. 1409, Springer-Verlag, Berlin, 1989. |
[7] | E. Hairer and G. Wanner. Solving Ordinary Differential Equations II , Springer-Verlag, Berlin, 1991. |
[8] | L. R. Petzold. A description of DASSL: A differential/algebraic system solver, in IMACS Trans. Scientific Computing Vol. 1, R. S. Stepleman et al., eds., North-Holland, Amsterdam, 1993, pp. 65-68. |
Impressum | Andreas Steinbrecher 16.08.2011 |