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Some applications of the Pascal matrix to the study of numerical methods for differential equations. (English) Zbl 1117.65118

The classical Adams-Moulton methods for initial value problems of ordinary differential equations are known to be useful for stiff problems only to a limited extent. This is due to their region of absolute stability being too small except for the method of order 2. The paper under review shows that this difficulty can be overcome by generalizing the classical Adams approach in a way that incorporates ideas coming from the theory of boundary value methods.

MSC:

65L20 Stability and convergence of numerical methods for ordinary differential equations
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