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Titlebook: An Introduction to Computational Science; Allen Holder,Joseph Eichholz Textbook 2019 Springer Nature Switzerland AG 2019 Computational Mod

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https://doi.org/10.1007/978-3-663-19765-2ptimization was used in the method of least squares in Sects. . and ., the development of principal component analysis in Sect. ., the examples and techniques in Chap. ., and the design of radiotherapy treatments in Sect. .. This chapter introduces two models associated with optimization and simulat
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Allen Holder,Joseph EichholzCompletely up-to-date text designed to address the shortfalls of all existing texts available.End-of-chapter problems throughout and online ancillaries available.Authors based the pedagogy on their ow
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Ordinary Differential Equationsc software can be challenged in routine situations. Moreover, many applications are complicated, and closed-form solutions are either impractical or impossible to compute. The methods of this chapter instead develop a class of widely used algorithms to iteratively approximate a solution.
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Modeling with Ordinary Differential Equations They are of such importance that they have spawned much of the mathematics that we know today. Our task here is to model and solve problems to illustrate how computational modeling can aid scientific and engineering pursuits. We consider the three problems of modeling a Couette flow, an insulin bolus, and a plug-flow reactor.
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