Publication result detail

Taylor series based parallel numerical solution of partial differential equations

NEČASOVÁ, G.; ŠÁTEK, V.

Original Title

Taylor series based parallel numerical solution of partial differential equations

English Title

Taylor series based parallel numerical solution of partial differential equations

Type

Paper in proceedings (conference paper)

Original Abstract

The article deals with the parallel numerical solution of linear partial differential equations using the Method of Lines. The numerical solution is obtained using the variable step-size and the variable order Taylor series method. The numerical solution is compared with the state-of-the-art PETSc solvers.

English abstract

The article deals with the parallel numerical solution of linear partial differential equations using the Method of Lines. The numerical solution is obtained using the variable step-size and the variable order Taylor series method. The numerical solution is compared with the state-of-the-art PETSc solvers.

Keywords

parallel solution, partial differential equations, heat equation, ordinary differential equations, Modern Taylor Series Method

Key words in English

parallel solution, partial differential equations, heat equation, ordinary differential equations, Modern Taylor Series Method

Authors

NEČASOVÁ, G.; ŠÁTEK, V.

RIV year

2024

Released

01.09.2023

Publisher

American Institute of Physics

Location

Rhodes

Book

19th International Conference of Numerical Analysis and Applied Mathematics

ISBN

0094-243X

Periodical

AIP conference proceedings

Volume

2023

Number

2849

State

United States of America

Pages from

1

Pages to

4

Pages count

4

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85176731073&doi=10.1063%2f5.0162190&partnerID=40&md5=30504a3274099e52e62a3725803b7c4b

BibTex

@inproceedings{BUT187000,
  author="Gabriela {Nečasová} and Václav {Šátek}",
  title="Taylor series based parallel numerical solution of partial differential equations",
  booktitle="19th International Conference of Numerical Analysis and Applied Mathematics",
  year="2023",
  journal="AIP conference proceedings",
  volume="2023",
  number="2849",
  pages="1--4",
  publisher="American Institute of Physics",
  address="Rhodes",
  doi="10.1063/5.0162190",
  issn="0094-243X",
  url="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85176731073&doi=10.1063%2f5.0162190&partnerID=40&md5=30504a3274099e52e62a3725803b7c4b"
}