Introduction to Numerical Computation

Introduction to Numerical Computation

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

383 Pages

Numerical Computation UniOviedo

This PDF covers the following topics related to Numerical Computation : Finite arithmetic and error analysis, Nonlinear equations, Interpolation and approximation, Numerical differentiation and integration, Systems of linear equations, Optimization.

Author(s): Gonzalo Galiano Casas, Esperanza Garcia Gonzalo, Dept. of Mathematics, Oviedo University

114 Pages

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 Methods for Computational Science and Engineering

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.

Author(s): Prof. R. Hiptmair

839 Pages