Numerical Methods Resources

Computer arithmetics and various types of errors (truncation, round-off, propagation of error, significant digits), Solution of linear system of equations; connection to static condensation, Matrix algebra and its application to finite element solution, Interpolation and curve fitting, Differentiation and integration, Numerical solution of ordinary differential equations, Numerical solution of partial differential equations, Eigenvalue problems Numerical Methods Resources

• Numerical methods for Fortran programmers - links to the libraries, centers, data analysis and signal processing, arithmetics and statistics , optimization etc.

• Numerical Recipes Book Home Page - The Numerical Recipes (NR) books are developed by Numerical Recipes Software and published by Cambridge University Press

• Newton's method and high order iterations - History, convergence results, Halley's iteration and high order new iterations

• Algorithms for Calculating the Square Root - Must visit....I love this page

• Interval Computations Researchers - Homepages of Interval Computations Researchers

• Scientific Computing and Associated Fields Resource Guide - This is a summary of Internet-related resources for a handful of fields related to Scientific Computing, primarily: scientific and engineering numerical computing , numerical analysis, symbolic algebra, statistics,operations research

• Numerical Methods for Partial Differential Equations - A distance-learning course to study in your own time and at your own pace. Acquire a working knowledge using our problem-based learning environement with daily support / corrections from teachers exercising their right to pursue activities outside their university duties.
  
  
• Introduction to Successive Approximations in Your Spreadsheet - How to find real or complex solutions of one or more equations by computing successive approximations in a spreadsheet

• numerical-methods.com - Really cool stuff...do visit

• Numerical Methods with MATLAB - Study guides, lecture slides, and worksheets

• Finite Element / Numerical Methods with VectorSpace C++ Library - A math library in C++ with a set of linear algebra and integrable / differentiable objects

• Numerical Methods - Online Course/Slides

• Numerical Methods for Stochastic Differential Equations - Course Notes

• Visual Demonstrations of Numerical Methods - Root Finding, Polynomial Interpolation, Numerical Quadrature

Numerical Methods Books

1. Numerical Methods for Scientists and Engineers by Richard Hamming
2. Numerical Methods for Engineers: With Software and Programming Applications by Steven C. Chapra, Raymond P. Canale
3. Numerical Methods That Work by Forman S. Acton
4. Precise Numerical Methods Using C++ by Oliver Aberth
5. Numerical Methods for Chemical Engineers with MATLAB Applications by Alkis Constantinides, Navid Mostoufi
6. An Introduction to Numerical Methods: A MATLAB Approach by Abdelwahab Kharab, Ronald B. Guenther
7. Numerical Methods Using MathCAD(R) by Laurene V. Fausett
8. Problem Solving in Chemical Engineering with Numerical Methods by Michael B. Cutlip (Preface), Michael B. Cutlip (Preface), Mordechai Shacham
9. Numerical Methods for Least Squares Problems by Ake Bjorck
10. Schaum's Outline of Linear Algebra by Seymour, Phd Lipschutz, Marc Lars, Phd Lipson