IEICE TRANSACTIONS on Fundamentals
Imperfect Singular Solutions of Nonlinear Equations and a Numerical Method of Proving Their Existence
Summary :
A new concept of "an imperfect singular solution" is defined as an approximate solution which becomes a singular solution by adding a suitable small perturbation to the original equations. A numerical method is presented for proving the existence of imperfect singular solutions of nonlinear equations with guaranteed accuracy. A few numerical examples are also presented for illustration.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E82-A No.6 pp.1062-1069
- Publication Date
- 1999/06/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Nonlinear Problems
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Yuchi KANZAWA, Shin'ichi OISHI, "Imperfect Singular Solutions of Nonlinear Equations and a Numerical Method of Proving Their Existence" in IEICE TRANSACTIONS on Fundamentals,
vol. E82-A, no. 6, pp. 1062-1069, June 1999, doi: .
Abstract: A new concept of "an imperfect singular solution" is defined as an approximate solution which becomes a singular solution by adding a suitable small perturbation to the original equations. A numerical method is presented for proving the existence of imperfect singular solutions of nonlinear equations with guaranteed accuracy. A few numerical examples are also presented for illustration.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e82-a_6_1062/_p
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@ARTICLE{e82-a_6_1062,
author={Yuchi KANZAWA, Shin'ichi OISHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Imperfect Singular Solutions of Nonlinear Equations and a Numerical Method of Proving Their Existence},
year={1999},
volume={E82-A},
number={6},
pages={1062-1069},
abstract={A new concept of "an imperfect singular solution" is defined as an approximate solution which becomes a singular solution by adding a suitable small perturbation to the original equations. A numerical method is presented for proving the existence of imperfect singular solutions of nonlinear equations with guaranteed accuracy. A few numerical examples are also presented for illustration.},
keywords={},
doi={},
ISSN={},
month={June},}
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TY - JOUR
TI - Imperfect Singular Solutions of Nonlinear Equations and a Numerical Method of Proving Their Existence
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1062
EP - 1069
AU - Yuchi KANZAWA
AU - Shin'ichi OISHI
PY - 1999
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E82-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 1999
AB - A new concept of "an imperfect singular solution" is defined as an approximate solution which becomes a singular solution by adding a suitable small perturbation to the original equations. A numerical method is presented for proving the existence of imperfect singular solutions of nonlinear equations with guaranteed accuracy. A few numerical examples are also presented for illustration.
ER -
English
