A Résumé on Interval Runge-Kutta Methods

Andrzej Marciniak. "A Résumé on Interval Runge-Kutta Methods." Mathematica Applicanda 40.1 (2012): null. <http://eudml.org/doc/293263>.

@article{AndrzejMarciniak2012,
abstract = {The paper presents explicit and implicit interval methods of Runge-Kutta type. Such methods introduce the errors of methods. It means that this kind of errors are included in the interval solutions obtained. Applying these methods for solving the initial value problem in floating-point interval arithmetic we can obtain solutions in the form of intervals which contain all possible numerical errors. Numerical examples are presented.},
author = {Andrzej Marciniak},
journal = {Mathematica Applicanda},
keywords = {interval methods for ODEs, Runge-Kutta methods, floating-point interval arithmetic},
language = {eng},
number = {1},
pages = {null},
title = {A Résumé on Interval Runge-Kutta Methods},
url = {http://eudml.org/doc/293263},
volume = {40},
year = {2012},
}

TY - JOUR
AU - Andrzej Marciniak
TI - A Résumé on Interval Runge-Kutta Methods
JO - Mathematica Applicanda
PY - 2012
VL - 40
IS - 1
SP - null
AB - The paper presents explicit and implicit interval methods of Runge-Kutta type. Such methods introduce the errors of methods. It means that this kind of errors are included in the interval solutions obtained. Applying these methods for solving the initial value problem in floating-point interval arithmetic we can obtain solutions in the form of intervals which contain all possible numerical errors. Numerical examples are presented.
LA - eng
KW - interval methods for ODEs, Runge-Kutta methods, floating-point interval arithmetic
UR - http://eudml.org/doc/293263
ER -