

This section contains free ebooks and guides on Numerical Computation, some of the resources in this section can be viewed online and some of them can be downloaded.




Applied Numerical ComputingProf.
L. VandenbergheOnline  NA Pages  EnglishThis 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.
 Numerical Computation for Mechanical EngineersProf.
Anthony T. Patera, Prof. Daniel Frey and Prof. Nicholas HadjiconstantinouOnline  NA Pages  EnglishThis
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.
 Introduction to Numerical Computing Class NotesJun
ZhangOnline  NA Pages  EnglishThis note covers the following topics: Number Representations and Errors,
Numerical Analysis and Computing, Locating Roots of Equations, Introduction to
Numerical Methods, Interpolation and Numerical Differentiation, Numerical
Analysis, Numerical Integration, System of Linear Equations , Approximation by
Spline Functions , Least Squares and Curve Fitting .
 Numerical Methods for Computational Science and EngineeringProf. R. HiptmairPDF  839 Pages  EnglishThis
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
NonLinear Systems of Equations, Eigenvalues, Numerical Integration, Structure
Preserving Integration.
 Introduction to Numerical ComputingQueen Mary University of LondonOnline  NA Pages  EnglishThis note
investigates the use of computer algebra, numerical techniques and computer
graphics as tools for developing the understanding and the solution of a number
of problems in the mathematical sciences. Topics covered includes: Basic
programming, Numerical approximations and errors, Numerical solutions of
equations, Calculation of eigenvalues and eigenvectors, Numerical integration.
 Introduction to Numerical ComputationWen ShenPDF  102 Pages  EnglishThis note explains the following
topics: Computer arithmetic, Polynomial interpolation, Splines, Numerical
integration, Numerical solution of nonlinear equations, Direct methods for
linear systems, Iterative solvers for linear systems, Least Squares, ODEs.
 Numerical Computation GuideSun microsystemsOnline  NA Pages  EnglishThis manual describes the
floatingpoint environment supported by software and hardware on SPARCTM and x86
platforms running the Solaris operating system.
 Numerical Methods for Scientific ComputingJohn Henry HeinbockelOnline  NA Pages  EnglishThese 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.
  Electronic Transactions on Numerical Analysis  Numerical Recipes in CNAOnline  NA Pages  EnglishThis
book covers the following topics: Solution of Linear Algebraic Equations,
Interpolation and Extrapolation, Evaluation of Functions, Special Functions,
Random Numbers, Sorting, Root Finding and Nonlinear Sets of Equations,
Minimization or Maximization of Functions, Eigensystems, Fourier and Spectral
Applications, Statistical Description of Data, Integral Equations and Inverse
Theory.
 Numerical Recipes in Fortran 77NAOnline  NA Pages  EnglishThis
book covers the following topics: Solution of Linear Algebraic Equations,
Interpolation and Extrapolation, Evaluation of Functions, Special Functions,
Random Numbers, Sorting, Root Finding and Nonlinear Sets of Equations,
Minimization or Maximization of Functions, Eigensystems, Fast Fourier Transform,
Modeling of Data, Integration of Ordinary Differential Equations, Partial
Differential Equations and LessNumerical Algorithms .
 Numerical Recipes in Fortran 90NAOnline  NA Pages  EnglishThis
book covers the following topics: Introduction to Fortran 90 Language Features,
Introduction to Parallel Programming , Numerical Recipes Utility Functions
for Fortran 90 , Solution of Linear Algebraic Equations, Interpolation and
Extrapolation, Integration of Functions, Evaluation of Functions, Special
Functions, Random Numbers, Sorting, Root Finding and Nonlinear Sets of
Equations.
 Electronic Transactions on Numerical AnalysisKent
State UniversityOnline  NA Pages  EnglishElectronic Transactions on Numerical Analysis (ETNA) is an
electronic journal for the publication of significant new developments in
numerical analysis and scientific computing. Papers of the highest quality that
deal with the analysis of algorithms for the solution of continuous models and
numerical linear algebra are appropriate for ETNA, as are papers of similar
quality that discuss implementation and performance of such algorithms.
 LAPACK Users' Guide, 3rd EditionE.
Anderson , Z. Bai , C. Bischof , L. S. Blackford , J. Demmel , J. Dongarra , J.
Du Croz , A. Greenbaum , S. Hammarling , A. McKenney and D. SorensenOnline  NA Pages  EnglishThis 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.









