Applied Numerical Computing

Numerical Computation by Peter Bastian

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.

Author(s): Peter Bastian

236 Pages

Introduction to Numerical ComputationAnalysis and Matlab illustrations

This ebook contains the following topics: Mathematical Models and Numerical Approximations, Numerical Computation, References, Sources of Error, Basic Concepts, Error Propagation, Number Representation, Rounding Errors in Floating Point, Arithmetic Operations in Floating Point, Accumulated Errors, IEEE Standard, Introduction, Remainder Term Estimates, Standard Functions, Range Reduction, Trigonometric Functions, Introduction, Crude Localization, Iteration Methods, Convergence Analysis, Error Estimation and StoppingCriteria, Algebraic Equations, Square Root, Nonlinear Systems, Introduction, Interpolation by Polynomials, Linear Interpolation, Lagrange Interpolation, Hermite Interpolation, Splines, Linear Spline Functions, Cubic Splines, Introduction, Richardson Extrapolation, Introduction, Trapezoidal Rule, Adaptive Quadrature, Introduction, Triangular Systems, Gaussian Elimination, Pivoting, LU Factorization, Band Matrices, Inverse Matrix, Vector and Matrix Norms, Sensitivity Analysis, Rounding Errors, Estimation of Condition Number, Overdetermined Systems, QR Factorization, Introduction, Important Concepts, Least Squares Method, Orthogonal Functions, Orthogonal Polynomials, Legendre Polynomials, Chebyshev Polynomials, Discrete Cosine Transform, Minimax Approximation, Introduction, Initial Value Problems, Local and Global Error, An Implicit Method, Stability, Adaptive Step Length Control, Boundary Value Problems, A Finite Element Method, The Shooting Method, Mathematical Models and Numerical Approximations

Author(s): Lars Elden Linde Wittmeyer-Koch Hans Bruun Nielsen

383 Pages

Applied Numerical Computing

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

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

Electronic Transactions on Numerical Analysis

Currently this section contains no detailed description for the page, will update this page soon.

Author(s):

Pages

LAPACK Users' Guide, 3rd Edition

This book covers the following topics: Computers for which LAPACK is Suitable, LAPACK Compared with LINPACK and EISPACK, LAPACK and the BLAS, Availability of LAPACK, Commercial Use of LAPACK, Installation of LAPACK, Documentation for LAPACK, Support for LAPACK and Errata in LAPACK.

Author(s): E. Anderson , Z. Bai , C. Bischof , L. S. Blackford , J. Demmel , J. Dongarra , J. Du Croz , A. Greenbaum , S. Hammarling , A. McKenney and D. Sorensen

NA Pages