# Numerical Integration

(Difference between revisions)
 Revision as of 10:43, 3 November 2009 (view source)JMora (Talk | contribs)← Older edit Revision as of 10:48, 3 November 2009 (view source)JMora (Talk | contribs) Newer edit → Line 1: Line 1: − The purpose of this section is to describe how the element matrices can be integrated numerically. + '''Numerical integration''' refers to all the procedures, algorithms and techniques in the numerical analysis to obtain an approximate solution to a definite integral. + + That is, how to obtain a numerical value of: + + :$\int_a^b\! f(\lambda)\, d\lambda.$ + + For our interest in the Finite Element Method, the purpose is to describe how the element matrices can be integrated numerically.

## Revision as of 10:48, 3 November 2009

Numerical integration refers to all the procedures, algorithms and techniques in the numerical analysis to obtain an approximate solution to a definite integral.

That is, how to obtain a numerical value of:

$\int_a^b\! f(\lambda)\, d\lambda.$

For our interest in the Finite Element Method, the purpose is to describe how the element matrices can be integrated numerically.

## References

1. Carlos A. Felippa, "A compendium of FEM integration formulas for symbolic work", Engineering Computations, Vol. 21 No. 8, 2004, pp. 867-890, (c) Emerald Group Publishing Limited [1]
1. Numerical Integration