B-method approach to blow-up solutions of fourth-order semilinear parabolic equations
Author:
Funder
National Natural Science Foundation of China
the Fundamental Research Funds for the Central Universities
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s11075-019-00868-7.pdf
Reference25 articles.
1. Ball, J.M.: Finite time blow-up in nonlinear problems. In: Crandall, M.G. (ed.) Nonlinear Evolution Equations, pp 189–205. Academic Press, New York (1978)
2. Beck, M., Gander, M. J., Kwok, F.: B-methods for the numerical solution of evolution problems with blow-up solutions part I: variation of the constant. SIAM J. Sci. Comput. 37(6), A2998–A3029 (2015)
3. Berger, M. J., Kohn, R. V.: A rescaling algorithm for the numerical calculation of blowing-up solutions. Commun. Pure Appl. Math. 41(6), 841–863 (1988)
4. Bertozzi, A. L., Pugh, M. C.: Finite-time blow-up of solutions of some long-wave unstable thin film equations. Indiana University Mathematics Journal 49 (4), 1323–1366 (2000)
5. Budd, C. J.: Adaptivity with moving grids. Acta Numerica 18(18), 111–241 (2009)
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