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
Numerical Methods for Scientific Computing
These are the sample pages from the textbook. This book covers the following topics, root finding, orthogonal functions, finite differences, divided differences, interpolation, curve fitting, ztransforms, summation formula, quadrature formula, ordinary differential equations, partial differential equations, integral equations, stability and error analysis, monte carlo techniques, message passing interface, simulation modeling.
Author(s): John Henry Heinbockel
NA Pages
