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Numerical tests on convergence of the random choice method. (English) Zbl 0593.65085

The random choice method has been successfully used for computing very complicated combustion problems of Z. Teng, A. Chorin and T. Liu [SIAM J. Appl. Math. 42, 964-981 (1982; Zbl 0502.76088)], which shows its robustness. In this paper, we shall observe its convergence through numerical tests. The problem computed in this paper is the ignition problem.

MSC:

65Z05 Applications to the sciences
80A25 Combustion
35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
65N22 Numerical solution of discretized equations for boundary value problems involving PDEs

Citations:

Zbl 0502.76088
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