LINE INTEGRAL METHODS and their application to the numerical solution of conservative problems
Luigi Brugnano, Felice Iavernaro
TL;DR
This paper discusses line integral methods and their application to numerically solving conservative problems, providing insights from a lecture course delivered in 2012-2013.
Contribution
It introduces line integral methods specifically tailored for conservative problems and shares educational material from a detailed lecture course.
Findings
Line integral methods effectively solve conservative problems numerically.
The lecture notes provide comprehensive guidance on implementing these methods.
Applications demonstrate improved accuracy in conservative system simulations.
Abstract
These are the lecture notes of a course given by the first author on December 27, 2012 - January 4, 2013, held at the Academy of Mathematics and Systems Science Chinese Academy of Sciences in Beijing.
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Taxonomy
TopicsNumerical methods for differential equations · Advanced Numerical Methods in Computational Mathematics · Differential Equations and Numerical Methods