Loading [MathJax]/jax/output/CommonHTML/jax.js
Preprints of the Keldysh Institute of Applied Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Keldysh Institute preprints:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Preprints of the Keldysh Institute of Applied Mathematics, 2020, 045, 29 pp.
DOI: https://doi.org/10.20948/prepr-2020-45 (Mi ipmp2836) 		 
B-series for complete (m,k)-method

S. A. Konev
Full-text PDF (539 kB)
References:
PDF
HTML
DOI: https://doi.org/10.20948/prepr-2020-45
Abstract: Symbolic expression for derivatives of numerical solution of the complete (m,k)-method are constructed. The expressions are described with Butcher rooted trees. The concept of stages 'color' is actively used in proof of the main theorem. The possible applications of obtained results are discussed.
Keywords: stiff systems, Butcher trees, Rosenbrock methods, (m,k)-methods, order conditions.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00252_а
18-31-20020_Стабильность
19-01-00602
Document Type: Preprint
Language: Russian
Citation: S. A. Konev, “B-series for complete (m,k)-method”, Keldysh Institute preprints, 2020, 045, 29 pp.
Citation in format AMSBIB
\Bibitem{Kon20}
\by S.~A.~Konev
\paper $B$-series for complete $(m,k)$-method
\jour Keldysh Institute preprints
\yr 2020
\papernumber 045
\totalpages 29
\mathnet{http://mi.mathnet.ru/ipmp2836}
\crossref{https://doi.org/10.20948/prepr-2020-45}
Linking options:
  • https://www.mathnet.ru/eng/ipmp2836
  • https://www.mathnet.ru/eng/ipmp/y2020/p45
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Препринты Института прикладной математики им. М. В. Келдыша РАН
    Statistics & downloads:
    Abstract page:98
    Full-text PDF :33
    References:18
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025