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.
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.
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
This
note explains the following topics: computing with Matrices and Vectors, Direct
Methods for Linear Systems of Equations, DIrect Methods for Linear Least Squares
Problems, Filtering Algorithms, Data Interpolation and Data Fitting in 1D,
Approximation of Functions in 1D , Numerical Quadrature, Iterative Methods for
Non-Linear Systems of Equations, Eigenvalues, Numerical Integration, Structure
Preserving Integration.
This manual describes the
floating-point environment supported by software and hardware on SPARCTM and x86
platforms running the Solaris operating system.