Numerical Computation UniOviedo
This PDF is prepared by Gonzalo Galiano Casas and Esperanza Garcia Gonzalo from the Department of Mathematics at Oviedo University. With a view to keeping things compact, this document initiates with finite arithmetic and error analysis, which forms the basis necessary for understanding the issue of numerical precision and limitations. It considers methods for nonlinear equations, interpolation, and approximation. Key sections on numerical differentiation and integration give hands-on tools both for data analysis and the solution of mathematical problems. It also covers systems of linear equations and optimization, rounding it out for students and practitioners who might want to apply the numerical methods through a variety of problems.
Author(s): Gonzalo Galiano Casas, Esperanza Garcia Gonzalo, Dept. of Mathematics, Oviedo University
114 Pages 
Numerical Analysis and Scientific Computing
This note contains below topics, Introduction to scientific computing, Errors, conditioning, accuracy, and stability, Floating point, Numerical linear algebra, Numerical integration and differentiation, Initial value problems for ODEs, Boundary value problems for ODEs, Partial differential equations and sparse linear algebra, Fast Fourier Transform.
Author(s): Andreas Kloeckner, University of Illinois Urbana-Champaign
339 Pages
This note explains the following topics, Numerical linear algebra, nonlinear optimization, nonlinear least squares, introduction to floating point numbers and rounding error, examples from signal and image processing, control, machine learning.
Author(s): Prof. L. Vandenberghe
NA Pages
