Solving linear and nonlinear problems using Taylor Series Method

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26230%2F24%3APU151577" target="_blank" >RIV/00216305:26230/24:PU151577 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.degruyter.com/document/doi/10.1515/comp-2024-0005/html" target="_blank" >https://www.degruyter.com/document/doi/10.1515/comp-2024-0005/html</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1515/comp-2024-0005" target="_blank" >10.1515/comp-2024-0005</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Solving linear and nonlinear problems using Taylor Series Method

Popis výsledku v původním jazyce

This paper focuses on the Taylor-series-based high-order numerical integration method. Linear and nonlinear systems of ordinary differential equations are carefully studied. Linear problems are modelled by partial differential equations and solved in parallel using PETSc library. The parallel solution is demonstrated using the wave equation, which is transformed into the system of ordinary differential equations using the method of lines. Solution of nonlinear problems is introduced together with several optimisations that significantly increase the calculation speed. The improvements are demonstrated using several numerical examples.

Název v anglickém jazyce

Solving linear and nonlinear problems using Taylor Series Method

Popis výsledku anglicky

This paper focuses on the Taylor-series-based high-order numerical integration method. Linear and nonlinear systems of ordinary differential equations are carefully studied. Linear problems are modelled by partial differential equations and solved in parallel using PETSc library. The parallel solution is demonstrated using the wave equation, which is transformed into the system of ordinary differential equations using the method of lines. Solution of nonlinear problems is introduced together with several optimisations that significantly increase the calculation speed. The improvements are demonstrated using several numerical examples.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2024

Kód důvěrnosti údajů

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

Název periodika

Open Computer Science

ISSN

2299-1093

e-ISSN

—

Svazek periodika

14

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

15

Strana od-do

1-15

Kód UT WoS článku

001270179500001

EID výsledku v databázi Scopus

2-s2.0-85198900421