I'm writing a project on differential equations and their applications on several scientific fields (such as electrical circuits, polulation dynamics, oscillations etc) but i'm mainly interested in DE applications on Informatics/Computer Science, so i'm looking for help on what and how to search, or any possible e-book that could help me.
2026-03-29 12:03:44.1774785824
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Differential Equations applications in Computer Science
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You will not find as much examples as in physics or engineering because differential equations model continous quantities, while a large part of computer science deals with discrete quantities and structures.
The related methods like difference equations / recurrences and Diophantine equations are used.
in comupter science neural networks (artificial intelligence) , Lagrange multipliers are always used to optimize and maximize the functions of neural networks.
gradient decent methods are used in Back propagation for fitting an artificial neural network. these are two examples I can think of.
almost all of machine learning and AI(svm ,regressions trees) are filled with examples of differential equations. The list could go endless.