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The stability of difference methods (La stabilité des méthodes aux différences). (French) Zbl 1073.65546
Some results on the stability of the finite differences method in the study of differential equations are presented: the bilocal and periodical problems for second order equations as well as the Runge-Kutta method for solving the Cauchy problems.
MSC:
65L12 Finite difference and finite volume methods for ordinary differential equations
65L06 Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations
65L07 Numerical investigation of stability of solutions
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