@article{PSMIR_1976___S5_A13_0, author = {Nakagawa, Tomoyasu and Ushijima, Teruo}, title = {Numerical {Analysis} of the {Semi-Linear} {Heat} {Equation} of {Blow-up} {Type}}, journal = {Publications des s\'eminaires de math\'ematiques et informatique de Rennes}, eid = {13}, pages = {1--24}, publisher = {D\'epartement de Math\'ematiques et Informatique, Universit\'e de Rennes}, number = {S5}, year = {1976}, language = {en}, url = {http://www.numdam.org/item/PSMIR_1976___S5_A13_0/} }
TY - JOUR AU - Nakagawa, Tomoyasu AU - Ushijima, Teruo TI - Numerical Analysis of the Semi-Linear Heat Equation of Blow-up Type JO - Publications des séminaires de mathématiques et informatique de Rennes PY - 1976 SP - 1 EP - 24 IS - S5 PB - Département de Mathématiques et Informatique, Université de Rennes UR - http://www.numdam.org/item/PSMIR_1976___S5_A13_0/ LA - en ID - PSMIR_1976___S5_A13_0 ER -
%0 Journal Article %A Nakagawa, Tomoyasu %A Ushijima, Teruo %T Numerical Analysis of the Semi-Linear Heat Equation of Blow-up Type %J Publications des séminaires de mathématiques et informatique de Rennes %D 1976 %P 1-24 %N S5 %I Département de Mathématiques et Informatique, Université de Rennes %U http://www.numdam.org/item/PSMIR_1976___S5_A13_0/ %G en %F PSMIR_1976___S5_A13_0
Nakagawa, Tomoyasu; Ushijima, Teruo. Numerical Analysis of the Semi-Linear Heat Equation of Blow-up Type. Publications des séminaires de mathématiques et informatique de Rennes, Journées « éléments finis », no. S5 (1976), article no. 13, 24 p. http://www.numdam.org/item/PSMIR_1976___S5_A13_0/
[1] Maximum principle and uniform convergence for the finite element method, Computer methods in applied mechanics and engineering, 2, 17-31 (1973). | MR | Zbl
and ,[2] Some remarks on finite element analysis of time-dependent field problems, Theory and practice in finite element structural analysis, (Tokyo Univ. Press, Tokyo, 1973). | Zbl
,[3] On the blowing up of solutions to the Cauchy problem for , J. Fac. Sci. Univ. Tokyo, 13, 109-124 (1966). | MR | Zbl
,[4] On some nonexistence and nonuniqueness theorems for nonlinear parabolic equations, Proc. Symposium in Pure Math., AMS, 18, 105-113. (1970). | MR | Zbl
,[5] On the blowing up of solutions for semi-linear parabolic equations (in Japanese), Sugaku, 18, 44-47 (1966). | MR
,[6] On the growth of solutions of quasilinear parabolic equations, Comm. Pure Appl. Math., 16, 305-330 (1963). | MR | Zbl
,[7] Blowing up of a finite difference solution to , 1974-annual report of the trial research in large scale computation supported by Japanese Ministry of Education, 47-58 (1975). | MR | Zbl
,[8] On numerical analysis of the semi-linear heat equation of blow-up type, Symposium on evolution systems and free boundary problems held at RIMS, Kyoto Univ. in Nov. 1975.
and ,[9] Existence and nonexistence of global solutions for nonlinear parabolic equations, Publ. RIMS, Kyoto Univ., 8, 211-229 (1972). | MR | Zbl
,[10] Existence and nonexistence of global solutions of the first boundary value problem for a certain quasilinear parabolic equation, Funkcialaj Ekvacioj, 17, 13-24 (1974). | MR | Zbl
,[11] On the finite element approximation of semi-linear parabolic equations (pre-print).
,