TY - JOUR
T1 - Imperfect singular solutions of nonlinear equations and a numerical method of proving their existence
AU - Kanzawa, Yuchi
AU - Oishi, Shin'Ichi
PY - 1999/1/1
Y1 - 1999/1/1
N2 - 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.
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.
KW - Imperfect singular solutions extended systems
KW - Krawczyk-based interval validation method
KW - Numerical computation with guaranteed accuracy
UR - http://www.scopus.com/inward/record.url?scp=0032684913&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0032684913&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0032684913
SN - 0916-8508
VL - E82-A
SP - 1062
EP - 1069
JO - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
JF - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
IS - 6
ER -