On the a-posteriori error bounds for the solution of ordinary nonlinear differential equations
Publication
, Journal Article
Geisler, EG; Tal, AA; Garg, DP
Published in: Comput. Math. Appl. (UK)
1975
This paper advances a procedure to compute the a-posteriori error bounds for the solution of a wide class of ordinary differential equations with given initial conditions. The method is based on an iterative scheme which yields upper and lower bounds which approach each other. The convergence of these iterations is proved analytically. Application of the proposed method is demonstrated by several examples. The method is independent of the integration scheme used. Also, separate bounds for each component of the solution is specifically available as a function of time compared to the bound on the norm yielded by conventional methods
Duke Scholars
Published In
Comput. Math. Appl. (UK)
DOI
Publication Date
1975
Volume
1
Issue
3-4
Start / End Page
407 / 416
Related Subject Headings
- Numerical & Computational Mathematics
- 15 Commerce, Management, Tourism and Services
- 08 Information and Computing Sciences
- 01 Mathematical Sciences
Citation
APA
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Geisler, E. G., Tal, A. A., & Garg, D. P. (1975). On the a-posteriori error bounds for the solution of ordinary nonlinear differential equations. Comput. Math. Appl. (UK), 1(3–4), 407–416. https://doi.org/10.1016/0898-1221(75)90042-5
Geisler, E. G., A. A. Tal, and D. P. Garg. “On the a-posteriori error bounds for the solution of ordinary nonlinear differential equations.” Comput. Math. Appl. (UK) 1, no. 3–4 (1975): 407–16. https://doi.org/10.1016/0898-1221(75)90042-5.
Geisler EG, Tal AA, Garg DP. On the a-posteriori error bounds for the solution of ordinary nonlinear differential equations. Comput Math Appl (UK). 1975;1(3–4):407–16.
Geisler, E. G., et al. “On the a-posteriori error bounds for the solution of ordinary nonlinear differential equations.” Comput. Math. Appl. (UK), vol. 1, no. 3–4, 1975, pp. 407–16. Manual, doi:10.1016/0898-1221(75)90042-5.
Geisler EG, Tal AA, Garg DP. On the a-posteriori error bounds for the solution of ordinary nonlinear differential equations. Comput Math Appl (UK). 1975;1(3–4):407–416.
Published In
Comput. Math. Appl. (UK)
DOI
Publication Date
1975
Volume
1
Issue
3-4
Start / End Page
407 / 416
Related Subject Headings
- Numerical & Computational Mathematics
- 15 Commerce, Management, Tourism and Services
- 08 Information and Computing Sciences
- 01 Mathematical Sciences