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
This PDF covers the following topics related to Numerical Computation, Introduction, Error Analysis and Computer Arithmetic, Function Evaluation, Nonlinear Equations, Interpolation, Differentiation and Richardson Extrapolation, Integration, Linear Systems of Equations, Approximation, Ordinary Differential Equations.
Author(s): Lars Elden, Linde Wittmeyer-Koch, Hans
Bruun Nielsen
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.