An approach to the numerical verification of solutions for variational inequalities using Schauder fixed point theory
Author:
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
Link
http://link.springer.com/content/pdf/10.1186/s13661-014-0235-y.pdf
Reference16 articles.
1. Nakao MT: A numerical verification method for the existence of weak solutions for nonlinear boundary value problems. J. Math. Anal. Appl. 1992, 164: 489-507. 10.1016/0022-247X(92)90129-2
2. Watanabe Y, Yamamoto N, Nakao MT: Verified computations of solutions for nondifferential elliptic equations related to MHD equilibria. Nonlinear Anal., Theory Methods Appl. 1997, 28: 577-587. 10.1016/0362-546X(95)00165-R
3. Plum M: Enclosures for weak solutions of nonlinear elliptic boundary value problems. In Inequalities and Applications. World Scientific, Singapore; 1994:505-521. 10.1142/9789812798879_0042
4. Plum M: Existence and enclosure results for continua of solutions of parameter-dependent nonlinear boundary value problems. J. Comput. Appl. Math. 1995, 60: 187-200. 10.1016/0377-0427(94)00091-E
5. Rump SM: Solving algebraic problems with high accuracy. In A New Approach to Scientific Computation. Edited by: Kulish UW, Miranker WL. Academic Press, New York; 1983:51-120. 10.1016/B978-0-12-428660-3.50010-0
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