On the numerical solution of a semilinear elliptic eigenproblem of Lane–Emden type, I: Problem formulation and description of the algorithms
作者： F. J. Foss , R. Glowinski , R. H. W. Hoppe
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sci-hub.se 参考文章(6)
J. W. He, R. Glowinski, Neumann Control of Unstable Parabolic Systems: Numerical Approach Journal of Optimization Theory and Applications. ,vol. 96, pp. 1- 55 ,(1998) , 10.1023/A:1022606915736
JOHN M. NEUBERGER, JAMES W. SWIFT, NEWTON'S METHOD AND MORSE INDEX FOR SEMILINEAR ELLIPTIC PDES International Journal of Bifurcation and Chaos. ,vol. 11, pp. 801- 820 ,(2001) , 10.1142/S0218127401002444
Jiří Horák, Constrained mountain pass algorithm for the numerical solution of semilinear elliptic problems Numerische Mathematik. ,vol. 98, pp. 251- 276 ,(2004) , 10.1007/S00211-004-0544-7
R. Glowinski, H. B. Keller, L. Reinhart, Continuation-Conjugate Gradient Methods for the Least Squares Solution of Nonlinear Boundary Value Problems SIAM Journal on Scientific and Statistical Computing. ,vol. 6, pp. 793- 832 ,(1985) , 10.1137/0906055
Xudong Yao, Jianxin Zhou, Numerical Methods for Computing Nonlinear Eigenpairs: Part I. Iso-Homogeneous Cases SIAM Journal on Scientific Computing. ,vol. 29, pp. 1355- 1374 ,(2007) , 10.1137/060651859
Alfonso Castro, Mónica Clapp, Upper estimates for the energy of solutions of nonhomogeneous boundary value problems Proceedings of the American Mathematical Society. ,vol. 134, pp. 167- 175 ,(2005) , 10.1090/S0002-9939-05-08279-1