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A three-level iterative method of Newton type. (English. Russian original) Zbl 0738.65077
Sov. Math., Dokl. 42, No. 2, 275-279 (1991); translation from Dokl. Akad. Nauk SSSR 314, No. 1, 45-49 (1990).
Iterative methods of Newton type with arbitrary initial approximation are developed for solving boundary problems for parabolic equations with nonlinearities in the lower terms of the differential operator or in the boundary conditions. The methods depend on a priori estimates which are proved.
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
65H10 Numerical computation of solutions to systems of equations
35K55 Nonlinear parabolic equations