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1. Adaptive Strategies for Numerical IVPs Solvers.

Author

Fazio, Ricardo

Subjects
*INITIAL value problems, *NUMERICAL analysis, *DIFFERENTIAL equations, *ALGORITHMS, *CONTINUOUS functions
Abstract

This paper is concerned with adaptive numerical methods for initial value problems governed by systems of ordinary differential equations. Here we introduce a novel step selection algorithm based on the simple idea that locally all continuous functions can be suitably approximated by a straight line. Finally we present two sample numerical computations performed by our step selection algorithm. [ABSTRACT FROM AUTHOR]

Published
2009