Abstract
We begin with the description of the simplest numerical method of solving differential equations. Although this method is not efficient and it is not used currently, it allows to understand the basic ideas of numerical procedures. At the same time, it is the starting point for more efficient methods. Although the results are valid for systems of differential equations of any order, we consider only the case of scalar equations, in order to avoid certain unessential difficulties.
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Notes and References
Lagarias, J.C., Todd, M.J. (editors) (1990) Mathematical developments arising from linear programming (Proceedings of a Joint Summer Research Conference held at Bowdoin College, June 25 - July 1, 1988). In Contemporary Mathematics, vol 114, American Mathematical Society, Providence, Rhode Island.
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© 1997 Springer Science+Business Media Dordrecht
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Halanay, A., Samuel, J. (1997). Numerical Solution of Differential Equations. In: Differential Equations, Discrete Systems and Control. Mathematical Modelling: Theory and Applications, vol 3. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8915-4_5
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DOI: https://doi.org/10.1007/978-94-015-8915-4_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4888-2
Online ISBN: 978-94-015-8915-4
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