Systems of differential-algebraic equations

Carmen Simerská

Pokroky matematiky, fyziky a astronomie (2005)

  • Volume: 50, Issue: 3, page 182-192
  • ISSN: 0032-2423

How to cite

top

Simerská, Carmen. "Systémy algebro-diferenciálních rovnic." Pokroky matematiky, fyziky a astronomie 50.3 (2005): 182-192. <http://eudml.org/doc/196304>.

@article{Simerská2005,
author = {Simerská, Carmen},
journal = {Pokroky matematiky, fyziky a astronomie},
keywords = {constrained differential equation; numerical method; systems of differential-algebraic equations; constrained differential equation; numerical method; systems of differential-algebraic equations},
language = {cze},
number = {3},
pages = {182-192},
publisher = {Jednota českých matematiků a fyziků},
title = {Systémy algebro-diferenciálních rovnic},
url = {http://eudml.org/doc/196304},
volume = {50},
year = {2005},
}

TY - JOUR
AU - Simerská, Carmen
TI - Systémy algebro-diferenciálních rovnic
JO - Pokroky matematiky, fyziky a astronomie
PY - 2005
PB - Jednota českých matematiků a fyziků
VL - 50
IS - 3
SP - 182
EP - 192
LA - cze
KW - constrained differential equation; numerical method; systems of differential-algebraic equations; constrained differential equation; numerical method; systems of differential-algebraic equations
UR - http://eudml.org/doc/196304
ER -

References

top
  1. Silverman, L. M., 10.1109/TAC.1969.1099169, IEEE Trans. Aut. Control, AC-14 (1969), 270–276. (1969) MR0267927DOI10.1109/TAC.1969.1099169
  2. Luenberger, D. G., 10.1109/TAC.1977.1101502, IEEE Trans. Aut. Control, AC-22 (1977), 312–321. (1977) Zbl0354.93007MR0479482DOI10.1109/TAC.1977.1101502
  3. Gear, C. W., 10.1109/TCT.1971.1083221, IEEE Trans. Circuit Theory, CT-18 (1971), 89–95. (1971) Zbl0217.21701DOI10.1109/TCT.1971.1083221
  4. Gear, C. W., Petzold, L. R., 10.1137/0721048, SIAM J. Numer. Anal. 21 (1984), 716–728. (1984) Zbl0557.65053MR0749366DOI10.1137/0721048
  5. Lötstedt, P., Petzold, L., 10.2307/2007989, Math. Comp. 46 (1986), 491–516. (1986) Zbl0601.65060MR0829621DOI10.2307/2007989
  6. Hairer, E., Lubich, C., Roche, M., The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods, Springer-Verlag, Berlin 1989. (1989) Zbl0683.65050MR1027594
  7. Hairer, E., Lubich, C., 10.1007/BF01462235, Numer. Math. 52 (1988), 377–400. (1988) Zbl0643.65034MR0932706DOI10.1007/BF01462235
  8. Griepentrog, E., Märtz, R., Differential-Algebraic Equations and Their Numerical Treatment, Teubner, Leipzig 1986. (1986) MR0877350
  9. Märtz, R., 10.1007/BF02240144, Computing 35 (1985), 13–37. (1985) MR0809676DOI10.1007/BF02240144
  10. Hindmarsh, A. C., 10.1145/1218052.1218054, ACM-SIGNUM Newsletters 15 (1980), 10–11. (1980) DOI10.1145/1218052.1218054
  11. Petzold, L. R., A description of DASSL: a differential-algebraic system solver, In: Scientific Computing, eds. Stepleman et al., North-Holland, Amsterdam 1983, 65–68. (1983) MR0751605
  12. Brenan, K. E., Campbell, S. L., Petzold, L. R., Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations, North-Holland, Amsterdam 1989. (1989) Zbl0699.65057MR1101809
  13. Gear, C. W., 10.1137/0727089, SIAM J. Numer. Anal. 27 (1990), 1527–1534. (1990) Zbl0732.65061MR1080336DOI10.1137/0727089
  14. Gear, C. W., Numerical Initial Value Problems in Ordinary Differential Equations, Prentice-Hall, Englewood Cliffs, NJ 1971. (1971) Zbl1145.65316MR0315898
  15. Hairer, E., Wanner, G., Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems, Springer-Verlag, Berlin 1991. (1991) Zbl0729.65051MR1111480
  16. Hindmarsh, A., Taylor, A., User Documentation for IDA: A Differential-Algebraic Equation Solver for Sequential and Parallel Computers, Lawrence Livermore National Laboratory report, UCRL-MA-136910, December 1999. (1999) 
  17. Reisig, G., Martinson, W. S., Barton, P. I., Differential-algebraic equations of index  1 may have an arbitrary high structural index, SIAM J. Scientific Computing (2000), 1987–1990. (2000) MR1762026
  18. Rabier, P. J., Rheinboldt, W. C., Theoretical and numerical analysis of differentialālgebraic equations, Handbook of Numerical Analysis VIII, Elsevier Publ., North Holland 2002. (2002) MR1893418

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.