| Title:
|
Quadratic convergence of monotone iterations of differential-algebraic equations (English) |
| Author:
|
Dąbrowicz-Tlałka, Anita |
| Author:
|
Jankowski, Tadeusz |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
52 |
| Issue:
|
3 |
| Year:
|
2002 |
| Pages:
|
315-330 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A09 |
| MSC:
|
34A45 |
| idZBL:
|
Zbl 1019.34001 |
| idMR:
|
MR1936337 |
| . |
| Date available:
|
2009-09-25T14:08:46Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136865 |
| . |
| Reference:
|
[1] BAHI J. GRIEPENTROG E.-MIELLOU J. C.: Parallel treatment of a class of differential-algebraic systems.SIAM J. Numer. Anal. 33 (1996), 1969-1980. MR 1411858 |
| Reference:
|
[2] CODDINGTON E. A.-LEVINSON N.: Theory of Ordinary Differential Equations.McGraw-Hill, New York, 1955. Zbl 0064.33002, MR 0069338 |
| Reference:
|
[3] DABROWICZ-TLALKA A.-JANKOWSKI T.: On a differential-algebraic problem.Appl. Math. 45 (2000), 205-215. Zbl 1058.34005, MR 1757241 |
| Reference:
|
[4] JACKIEWICZ Z.-KWAPISZ M.: Convergence of waveform relaxation methods for differential-algebraic systems.SIAM J. Numer. Anal. 33 (1996), 2303-2317. Zbl 0889.34064, MR 1427465 |
| Reference:
|
[5] JANKOWSKI T.-LAKSHMIKANTHAM V.: Monotone iterations for differential equations with a parameter.J. Appl. Math. Stochastic Anal. 10 (1997), 273-278. Zbl 0992.34010, MR 1468122 |
| Reference:
|
[6] JANKOWSKI T.-KWAPISZ M.: Convergence of numerical methods for szstems of neutral functional-differential-algebraic equations.Appl. Math. 40 (1995), 457-472. MR 1353973 |
| Reference:
|
[7] KWAPISZ M.: On solving systems of differential algebraic equations.Appl. Math. 37 (1992), 257-264. Zbl 0764.65038, MR 1180604 |
| Reference:
|
[8] LADDE G. S.-LAKSHMIKANTHAM V.-VATSALA A. S.: Monotone Iterative Techniques for Nonlinear Differential Equations.Pitman, Boston, 1985. Zbl 0658.35003, MR 0855240 |
| Reference:
|
[9] LAKSHMIKANTHAM V.-VATSALA A. S.: Generalized Quasilinearizatior for Nonlinear Problems.Kluwer Academic Publishers, Derdrecht, 1998. MR 1640601 |
| . |
