Numerical Analysis
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Attribution-NonCommercial-ShareAlike 4.0 International
Résumé
This book covers the material normally presented in a two-term course on numerical analysis, starting with the basic concept and ending with topics that are more appropriate for a course in numerical analysis for differential equations: numerical solution of systems of linear and nonlinear equations, polynomial interpolation, numerical approximation of functions, numerical computation of eigenvalues, numerical derivation and integration, numerical solution of ordinary and partial differential equations.
With a focus on algorithms, it can be used as an introduction to numerical analysis for engineering and applied science students. With a focus on theory, it can be used as an introduction to numerical analysis for students in mathematics or physics. Most of the numerical methods presented in this book are accompanied by a MATLAB code.
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Numerical solutions of linear equations, Numerical solutions of nonlinear equations, Polynomial interpolation and splines, Uniform and least square approximation, Numerical computation of eigenvalues, Numerical differentiation and integration, Numerical solution of initial value problems, Numerical solution of boundary value problems, Finite difference methods, Open educational resource (OER)
Citation
Dionne, B. 2023. Numerical Analysis. Ottawa: University of Ottawa, CC BY-NC-SA 4.0.