Advertisement
Published in:
2021 | OriginalPaper | Chapter
Advanced Numerical Methods for Equations, Systems Equations and Optimization
Authors : Horia Andrei, Dan D. Micu, Marian Gaiceanu, Marilena Stanculescu, Paul Cristian Andrei
Published in: Numerical Methods for Energy Applications
Publisher: Springer International Publishing
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
Abstract
In this chapter an overview of advanced numerical methods is presented. After errors are defined, the readers are initiated with the principles of approximating functions, numerical methods for solving equations and systems equations and optimization methods. The theoretical basics of polynomial interpolation, numerical differentiation and numerical integration are presented, and, as a natural sequel, for each method some examples are given. Numerical methods for linear and nonlinear equations and system equations, numerical methods for computing eigenvalues and eigenvectors are discussed and examples are given. The main goal of the optimization methods is to find the maximum or minimum of the objective function by using linear or nonlinear programming as shown in this chapter. Finally, an introduction in Matlab is done to put in evidence the easy-to-use and attractiveness of this popular software. Each method is accompanied by examples to help understanding.