| Title:
|
$A$-stabilní metody libovolně vysokého řádu (Czech) |
| Title:
|
$A$-stable methods of arbitrarily high order (English) |
| Author:
|
Vitásek, Emil |
| Language:
|
Czech |
| Journal:
|
Pokroky matematiky, fyziky a astronomie |
| ISSN:
|
0032-2423 |
| Volume:
|
51 |
| Issue:
|
1 |
| Year:
|
2006 |
| Pages:
|
61-68 |
| . |
| Category:
|
math |
| . |
| Keyword:
|
stiff differential system |
| Keyword:
|
$A$-stability |
| Keyword:
|
selfstarting block method |
| Keyword:
|
initial value problem |
| MSC:
|
34A30 |
| MSC:
|
65L04 |
| MSC:
|
65L05 |
| MSC:
|
65L20 |
| idZBL:
|
Zbl 1265.65143 |
| . |
| Date available:
|
2010-12-11T21:27:53Z |
| Last updated:
|
2015-11-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141301 |
| . |
| Reference:
|
[1] Baker, G. A. Jr., Graves-Morris, P.: Padé Approximations.Cambridge University Press, New York 1996. MR 1383091 |
| Reference:
|
[2] Butcher, J. C.: The numerical analysis of ordinary differential equations: Runge-Kutta and general linear methods.John Wiley & Sons, Chichester 1987. Zbl 0616.65072, MR 0878564 |
| Reference:
|
[3] Butcher, J. C., Jackiewicz, Z.: Construction of high order diagonally implicit multistage integration methods for ordinary differential equations.Applied Numerical Mathematics 21 (1996), 385–415. MR 1423426, 10.1016/S0168-9274(96)00043-8 |
| Reference:
|
[4] Dahlquist, G.: A special stability problem for linear multistep methods.BIT 3 (1953), 27–43. MR 0170477, 10.1007/BF01963532 |
| Reference:
|
[5] Golub, H. G., Loan, Ch. F. van: Matrix Computations.John Hopkins University Press, Baltimore 1989. MR 1002570 |
| Reference:
|
[6] Lambert, J. D.: Numerical methods for ordinary differential systems.John Wiley & Sons, London 1991. Zbl 0745.65049, MR 1127425 |
| Reference:
|
[7] Práger, M., Taufer, J., Vitásek, E.: Overimplicit multistep methods.Apl. Mat. 18 (1973), 399–421. MR 0366041 |
| . |
