Advanced Stiff Systems Detection

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26230%2F12%3APU98177" target="_blank" >RIV/00216305:26230/12:PU98177 - isvavai.cz</a>

Výsledek na webu

—

DOI - Digital Object Identifier

—

Jazyk výsledku

angličtina

Název v původním jazyce

Advanced Stiff Systems Detection

Popis výsledku v původním jazyce

The paper deals with stiff systems of differential equations. To solve this sort of system numerically is a difficult task. There are many (implicit) methods for solving stiff systems of ordinary differential equations (ODE's), from the most simple suchas implicit Euler method to more sophisticated (implicit Runge-Kutta methods) and finally the general linear methods. The mathematical formulation of the methods often looks clear, however the implicit nature of those methods implies several implementation problems. Usually a quite complicated auxiliary system of equations has to be solved in each step. These facts lead to immense amount of work to be done in each step of the computation. These are the reasons why one has to think twice before using thestiff solver and to decide between the stiff and non-stiff solver. On the other hand a very interesting and promising numerical method of solving systems of ordinary differential equations based on Taylor series has appeared. The potenti

Název v anglickém jazyce

Advanced Stiff Systems Detection

Popis výsledku anglicky

The paper deals with stiff systems of differential equations. To solve this sort of system numerically is a difficult task. There are many (implicit) methods for solving stiff systems of ordinary differential equations (ODE's), from the most simple suchas implicit Euler method to more sophisticated (implicit Runge-Kutta methods) and finally the general linear methods. The mathematical formulation of the methods often looks clear, however the implicit nature of those methods implies several implementation problems. Usually a quite complicated auxiliary system of equations has to be solved in each step. These facts lead to immense amount of work to be done in each step of the computation. These are the reasons why one has to think twice before using thestiff solver and to decide between the stiff and non-stiff solver. On the other hand a very interesting and promising numerical method of solving systems of ordinary differential equations based on Taylor series has appeared. The potenti

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

IN - Informatika

OECD FORD obor

—

Projekt

<a href="/cs/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: Centrum excelence IT4Innovations</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2012

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Acta Electrotechnica et Informatica

ISSN

1335-8243

e-ISSN

—

Svazek periodika

11

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

SK - Slovenská republika

Počet stran výsledku

6

Strana od-do

66-71

Kód UT WoS článku

—

EID výsledku v databázi Scopus

—