Publication result detail

High Order Numerical Integration Method and its Applications - The First 36 Years of MTSM

VEIGEND, P.; NEČASOVÁ, G.; ŠÁTEK, V.

Original Title

High Order Numerical Integration Method and its Applications - The First 36 Years of MTSM

English Title

High Order Numerical Integration Method and its Applications - The First 36 Years of MTSM

Type

Paper in proceedings (conference paper)

Original Abstract

The aim of this paper is to remember the work of Jiří Kunovský, who died last year. The high order integration method that he developed with his students and colleagues -- MTSM has many positive properties and is studied to this day. The paper shows these properties on a set of examples including linear and non-linear ones. Effective serial and parallel implementation of the method using MATLAB and PETSc is also discussed.

English abstract

The aim of this paper is to remember the work of Jiří Kunovský, who died last year. The high order integration method that he developed with his students and colleagues -- MTSM has many positive properties and is studied to this day. The paper shows these properties on a set of examples including linear and non-linear ones. Effective serial and parallel implementation of the method using MATLAB and PETSc is also discussed.

Keywords

ordinary differential equations, initial value problems, Taylor series, MTSM, MATLAB

Key words in English

ordinary differential equations, initial value problems, Taylor series, MTSM, MATLAB

Authors

VEIGEND, P.; NEČASOVÁ, G.; ŠÁTEK, V.

RIV year

2021

Released

20.11.2019

Publisher

Institute of Electrical and Electronics Engineers

Location

Poprad

ISBN

978-1-7281-3179-5

Book

2019 IEEE 15th International Scientific Conference on Informatics

Pages from

25

Pages to

30

Pages count

6

Full text in the Digital Library

http://hdl.handle.net/

BibTex

@inproceedings{BUT162277,
  author="Petr {Veigend} and Gabriela {Nečasová} and Václav {Šátek}",
  title="High Order Numerical Integration Method and its Applications - The First 36 Years of MTSM",
  booktitle="2019 IEEE 15th International Scientific Conference on Informatics",
  year="2019",
  pages="25--30",
  publisher="Institute of Electrical and Electronics Engineers",
  address="Poprad",
  doi="10.1109/Informatics47936.2019.9119258",
  isbn="978-1-7281-3179-5"
}