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Referencias:

• Abia, L.M., Lopez-Marcos, J.C., Martinez, J., Blow-up for semidiscretizations of reaction diffusion equations (1996) Appl. Numer. Math., 20, pp. 145-156
• Abia, L.M., Lopez-Marcos, J.C., Martinez, J., On the blow-up time convergence of semidiscretizations of reaction diffusion equations (1998) Appl. Numer. Math., 26, pp. 399-414
• Bandle, C., Brunner, H., Blow-up in diffusion equations: A survey (1998) J. Comput. Appl. Math., 97, pp. 3-22
• Bandle, C., Brunner, H., Numerical analysis of semilinear parabolic problems with blow-up solutions (1994) Rev. Real Acad. Cleric. Exact. Fis. Natur. Madrid, 88, pp. 203-222
• Berger, M., Kohn, R.V., A rescaling algorithm for the numerical calculation of blowing up solutions (1988) Comm. Pure Appl. Math., 41, pp. 841-863
• Budd, C.J., Huang, W., Russell, R.D., Moving mesh methods for problems with blow-up (1996) SIAM J. Sci. Comput., 17, pp. 305-327
• Chen, X.Y., Asymptotic behaviours of blowing up solutions for finite difference analogue of ut = uxx + u1+α (1986) J. Fac. Sci. Univ. Tokyo, Sec. IA, Math., 33, pp. 541-574
• Ciarlet, P., (1978) The Finite Element Method for Elliptic Problems, , North-Holland
• Chipot, M., Fila, M., Quittner, P., Stationary solutions, blow up and convergence to stationary solutions for semilinear parabolic equations with nonlinear boundary conditions (1991) Acta Math. Univ. Comenianae, 60, pp. 35-103
• Cortázar, C., Del Pino, M., Elgueta, M., On the blow-up set for ut = δum + um, m > 1 (1998) Indiana Univ. Math. J., 47, pp. 541-561
• Duran, R.G., Etcheverry, J.I., Rossi, J.D., Numerical approximation of a parabolic problem with a nonlinear boundary condition (1998) Discr. Cont. Dyn. Sys., 4, pp. 497-506
• Fila, M., Filo, J., Blow-up on the boundary: A survey (1996) Singularities and Differential Equations, Banach Center Publ., 33, pp. 67-78. , eds. (S. Janeczko et al.) Polish Academy of Science
• Filo, J., Diffusivity versus absorption through the boundary (1992) J. Differential Equations, 99, pp. 281-305
• Bonde, J.F., Rossi, J.D., Blow. up vs. spurious steady solutions (2001) Proc. Amer. Math. Soc., 129, pp. 139-144. , AMS
• Henry, Geometric theory of semilinear parabolic equation (1981) Lecture Notes in Math., 840. , Springer-Verlag
• Johnson, L.W., Riess, R.D., (1982) Numerical Analysis, , Addison-Wesley
• Le Roux, M.N., Semidiscretizations in time of nonlinear parabolic equations with blow-up of the solutions (1994) SIAM J. Numer. Anal., 31, pp. 170-195
• Levine, H.A., The role of critical exponents in blow up theorems (1990) SIAM Rev., 32, pp. 262-288
• Nakagawa, T., Blowing up of a finite difference solution to ut = uxx + u2 (1976) Appl. Math. Optim., 2, pp. 337-350
• Nakagawa, T., Ushijima, T., Finite element analysis of the semilinear heat equation of blow-up type (1977) Topics in Numerical Analysis III, pp. 275-291. , ed. J. J. H Miller (Academic Press)
• Pao, C.V., (1992) Nonlinear Parabolic and Elliptic Equations, , Plenum Press
• Samarskii, A.A., Galaktionov, V.A., Kurdyumov, S.P., Mikhailov, A.P., (1987) Blow-up in Problems for Quasilinear Parabolic Equations, , Nauka (in Russian) English transl. Walter de Gruyter
• Venegas, O., (1999) On the blow-up set for ut = (um)xx, m > 1, with nonlinear boundary conditions, , M.Sc. Thesis, Pontificia Univ. Católica de Chile, (in Spanish)
• Wu, Y., Du, J., Remarks on the diffusivity, versus absorption through the boundary (1996) J. Sys. Sci. Math. Sci., 9, pp. 376-382

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