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 PDF covers the following topics related to Numerical Computation, Modeling Immiscible Fluid Flow in Porous Media, Basic Properties of Multiphase Flow Equations, Fully Implicit Finite Volume Discretization, Solution of Algebraic Equations, Parallelization, UG, A Framework for Unstructured Grid Computations, Numerical Results.
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.