Numerical Computation for Mechanical Engineers
This note introduces elementary programming concepts including variable types, data structures, and flow control. After an introduction to linear algebra and probability, it covers numerical methods relevant to mechanical engineering, including approximation, integration, solution of linear and nonlinear equations, ordinary differential equations, and deterministic and probabilistic approaches.
Author(s): Prof. Anthony T. Patera, Prof. Daniel Frey and Prof. Nicholas Hadjiconstantinou
NA 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
