On numerical solution of ordinary differential equations with discontinuities
Aplikace matematiky (1988)
- Volume: 33, Issue: 6, page 487-492
- ISSN: 0862-7940
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topJankowski, Tadeusz. "On numerical solution of ordinary differential equations with discontinuities." Aplikace matematiky 33.6 (1988): 487-492. <http://eudml.org/doc/15558>.
@article{Jankowski1988,
abstract = {The author defines the numerical solution of a first order ordinary differential equation on a bounded interval in the way covering the general form of the so called one-step methods, proves convergence of the method (without the assumption of continuity of the righthad side) and gives a sufficient condition for the order of convergence to be $O(h^v)$.},
author = {Jankowski, Tadeusz},
journal = {Aplikace matematiky},
keywords = {discontinuities; system; one-step method; convergence; order of convergence; numerical solution of differential equations; discontinuities; system; one-step method; convergence; order of convergence},
language = {eng},
number = {6},
pages = {487-492},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On numerical solution of ordinary differential equations with discontinuities},
url = {http://eudml.org/doc/15558},
volume = {33},
year = {1988},
}
TY - JOUR
AU - Jankowski, Tadeusz
TI - On numerical solution of ordinary differential equations with discontinuities
JO - Aplikace matematiky
PY - 1988
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 33
IS - 6
SP - 487
EP - 492
AB - The author defines the numerical solution of a first order ordinary differential equation on a bounded interval in the way covering the general form of the so called one-step methods, proves convergence of the method (without the assumption of continuity of the righthad side) and gives a sufficient condition for the order of convergence to be $O(h^v)$.
LA - eng
KW - discontinuities; system; one-step method; convergence; order of convergence; numerical solution of differential equations; discontinuities; system; one-step method; convergence; order of convergence
UR - http://eudml.org/doc/15558
ER -
References
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- T. Jankowski, Some remarks on numerical solution of initial problems for systems of differential equations, Apl. Mat. 24 (1979), 421 - 426. (1979) Zbl0447.65039MR0547045
- T. Jankowski, On the convergence of multistep methods for ordinary differential equations with discontinuities, Demostratio Math. 16 (1983), 651 - 675. (1983) Zbl0571.65065MR0733727
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- J. Szarski, Differential inequalities, PWN- Polish. Scient. Publ., Warsaw 1967. (1967) Zbl0177.39203
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