Second derivative linear multistep formula and its stability on the imaginary axis

Jiří Kobza

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (1983)

  • Volume: 22, Issue: 1, page 131-142
  • ISSN: 0231-9721

How to cite

top

Kobza, Jiří. "Second derivative linear multistep formula and its stability on the imaginary axis." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 22.1 (1983): 131-142. <http://eudml.org/doc/23407>.

@article{Kobza1983,
author = {Kobza, Jiří},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {multistep formula; stability on the imaginary axis},
language = {eng},
number = {1},
pages = {131-142},
publisher = {Palacký University Olomouc},
title = {Second derivative linear multistep formula and its stability on the imaginary axis},
url = {http://eudml.org/doc/23407},
volume = {22},
year = {1983},
}

TY - JOUR
AU - Kobza, Jiří
TI - Second derivative linear multistep formula and its stability on the imaginary axis
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 1983
PB - Palacký University Olomouc
VL - 22
IS - 1
SP - 131
EP - 142
LA - eng
KW - multistep formula; stability on the imaginary axis
UR - http://eudml.org/doc/23407
ER -

References

top
  1. Cryer C. W., A new class of highly stable methods; A 0 -stable methods, BIT 13 (1973), 153-159. (1973) Zbl0265.65036MR0323111
  2. Dеkkег K., Stability of linear multistep methods on the imaginary axis, BIT 21 (1981), 66-79. (1981) MR0616701
  3. Duffin R. J., Algorithms for classical stability problems, SIАM Rеviеw 11 (1969), 196-213. (1969) Zbl0175.09801MR0249740
  4. Gаntmасhеr F. R., Teorija matric, Moѕkvа 1966. (1966) 
  5. Jеltѕсh R., Stability on the imaginary axis and A-stability of linear multistep methods, BIT 18 (1978), 170-174. (1978) MR0483467
  6. Jury E. I., Inners and stability of dynamic systems, Wilеy, Nеw York 1974 (Ruѕѕiаn trапѕlаtion Moѕсow 1979). (1974) Zbl0307.93025MR0366472
  7. Kobzа J., Metody tipa Adamsa s vtorymi proizvodnymi, Аplikасе matеmаtiky 20 (1975), 389-405. (1975) 
  8. Kobzа J., Stability of the second derivative linear multistep formulas, Асtа UPO, F. R. N. - T 53 (1977), 167-184. (1977) MR0657459
  9. Krеiѕѕ H.-O., Problems with different time scales for ordinary diff. equations, Uppѕаlа Univеrѕity, Dеpt. of Comp. Sсiеnсеѕ, Rеp. No 68, 1977. (1977) 
  10. Lаmbеrt J. D., Computational Methods in Ordinary Differential Equations, Wilеy, London 1973. (1973) 

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.