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A finite element collocation method for quasilinear parabolic equations. (English) Zbl 0256.65050


MSC:

65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
65M20 Method of lines for initial value and initial-boundary value problems involving PDEs
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[1] Philip J. Davis, Interpolation and approximation, Blaisdell Publishing Co. Ginn and Co. New York-Toronto-London, 1963.
[2] Jim Douglas Jr. and Todd Dupont, The effect of interpolating the coefficients in nonlinear parabolic Galerkin procedures, Math. Comput. 20 (1975), no. 130, 360 – 389. · Zbl 0311.65060
[3] J.-L. Lions and E. Magenes, Problèmes aux limites non homogènes et applications. Vol. 1, Travaux et Recherches Mathématiques, No. 17, Dunod, Paris, 1968 (French). · Zbl 0212.43801
[4] B. Wendroff, First Principles of Numerical Analysis, Addison-Wesley, Reading, Mass., 1969. · Zbl 0194.17802
[5] M. F. Wheeler, Thesis, Rice University, Houston, Texas, 1971; SIAM J. Numer. Anal. (To appear.)
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