A -stable methods of arbitrarily high order

Emil Vitásek

Pokroky matematiky, fyziky a astronomie (2006)

  • Volume: 51, Issue: 1, page 61-68
  • ISSN: 0032-2423

How to cite

top

Vitásek, Emil. "$A$-stabilní metody libovolně vysokého řádu." Pokroky matematiky, fyziky a astronomie 51.1 (2006): 61-68. <http://eudml.org/doc/196836>.

@article{Vitásek2006,
author = {Vitásek, Emil},
journal = {Pokroky matematiky, fyziky a astronomie},
keywords = {stiff differential system; $A$-stability; selfstarting block method; initial value problem; stiff differential system; -stability; selfstarting block method; initial value problem},
language = {cze},
number = {1},
pages = {61-68},
publisher = {Jednota českých matematiků a fyziků},
title = {$A$-stabilní metody libovolně vysokého řádu},
url = {http://eudml.org/doc/196836},
volume = {51},
year = {2006},
}

TY - JOUR
AU - Vitásek, Emil
TI - $A$-stabilní metody libovolně vysokého řádu
JO - Pokroky matematiky, fyziky a astronomie
PY - 2006
PB - Jednota českých matematiků a fyziků
VL - 51
IS - 1
SP - 61
EP - 68
LA - cze
KW - stiff differential system; $A$-stability; selfstarting block method; initial value problem; stiff differential system; -stability; selfstarting block method; initial value problem
UR - http://eudml.org/doc/196836
ER -

References

top
  1. Baker, G. A. Jr., Graves-Morris, P., Padé Approximations, Cambridge University Press, New York 1996. (1996) MR1383091
  2. Butcher, J. C., The numerical analysis of ordinary differential equations: Runge-Kutta and general linear methods, John Wiley & Sons, Chichester 1987. (1987) Zbl0616.65072MR0878564
  3. Butcher, J. C., Jackiewicz, Z., 10.1016/S0168-9274(96)00043-8, Applied Numerical Mathematics 21 (1996), 385–415. (1996) Zbl0933.65080MR1423426DOI10.1016/S0168-9274(96)00043-8
  4. Dahlquist, G., 10.1007/BF01963532, BIT 3 (1953), 27–43. (1953) MR0170477DOI10.1007/BF01963532
  5. Golub, H. G., Loan, Ch. F. van, Matrix Computations, John Hopkins University Press, Baltimore 1989. (1989) Zbl0733.65016MR1002570
  6. Lambert, J. D., Numerical methods for ordinary differential systems, John Wiley & Sons, London 1991. (1991) Zbl0745.65049MR1127425
  7. Práger, M., Taufer, J., Vitásek, E., Overimplicit multistep methods, Apl. Mat. 18 (1973), 399–421. (1973) Zbl0298.65052MR0366041

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.