On solving systems of differential algebraic equations
Applications of Mathematics, Tome 37 (1992) no. 4, pp. 257-264

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MR Zbl
In the paper the comparison method is used to prove the convergence of the Picard iterations, the Seidel iterations, as well as some modifications of these methods applied to approximate solution of systems of differential algebraic equations. The both linear and nonlinear comparison equations are emloyed.
In the paper the comparison method is used to prove the convergence of the Picard iterations, the Seidel iterations, as well as some modifications of these methods applied to approximate solution of systems of differential algebraic equations. The both linear and nonlinear comparison equations are emloyed.
DOI : 10.21136/AM.1992.104508
Classification : 34A09, 34A34, 34A45, 65L05
Keywords: Picard method; Seidel method; system of differential algebraic equations; convergence; successive approximations; differential algebraic equations; comparison method; Picard iterations
Kwapisz, Marian. On solving systems of differential algebraic equations. Applications of Mathematics, Tome 37 (1992) no. 4, pp. 257-264. doi: 10.21136/AM.1992.104508
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