full
search.png

Search

close.png

Cancel

arrow
Volume 4, Issue 2
Stability-Preserving Finite-Difference Methods for General Multi-Dimensional Autonomous Dynamical Systems

D. T. Dimitrov & H. V. Kojouharov

Int. J. Numer. Anal. Mod., 4 (2007), pp. 280-290.

Published online: 2007-04

Preview Purchase PDF 1675 21763

Cited by

google scholar semantic scholar
Export citation
  • Abstract

General multi-dimensional autonomous dynamical systems and their numerical discretizations are considered. Nonstandard stability-preserving finite-difference schemes based on the $\theta$-methods and the second-order Runge-Kutta methods are designed and analyzed. Their elementary stability is established theoretically and is also supported by a set of numerical examples.

  • Keywords

finite-difference, nonstandard scheme, elementary stability, dynamical systems.

  • AMS Subject Headings

37M05, 39A11, 65L12, 65L20

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{IJNAM-4-280, author = {D. T. Dimitrov and H. V. Kojouharov}, title = {Stability-Preserving Finite-Difference Methods for General Multi-Dimensional Autonomous Dynamical Systems}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2007}, volume = {4}, number = {2}, pages = {280--290}, abstract = {

General multi-dimensional autonomous dynamical systems and their numerical discretizations are considered. Nonstandard stability-preserving finite-difference schemes based on the $\theta$-methods and the second-order Runge-Kutta methods are designed and analyzed. Their elementary stability is established theoretically and is also supported by a set of numerical examples.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/862.html} }
TY - JOUR T1 - Stability-Preserving Finite-Difference Methods for General Multi-Dimensional Autonomous Dynamical Systems AU - D. T. Dimitrov & H. V. Kojouharov JO - International Journal of Numerical Analysis and Modeling VL - 2 SP - 280 EP - 290 PY - 2007 DA - 2007/04 SN - 4 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/862.html KW - finite-difference, nonstandard scheme, elementary stability, dynamical systems. AB -

General multi-dimensional autonomous dynamical systems and their numerical discretizations are considered. Nonstandard stability-preserving finite-difference schemes based on the $\theta$-methods and the second-order Runge-Kutta methods are designed and analyzed. Their elementary stability is established theoretically and is also supported by a set of numerical examples.

D. T. Dimitrov and H. V. Kojouharov. (2007). Stability-Preserving Finite-Difference Methods for General Multi-Dimensional Autonomous Dynamical Systems. International Journal of Numerical Analysis and Modeling. 4 (2). 280-290. doi:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard