Numerical Integration

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That is, how to obtain a numerical value of:
 
That is, how to obtain a numerical value of:
  
:<math>\int_a^b\! f(\lambda)\, d\lambda.</math>
+
:<math>\int_\lambda_a^\lambda_b\! f(\lambda)\, d\lambda.</math>
  
 
For our interest in the Finite Element Method, the purpose is to describe how the element matrices can be integrated numerically.
 
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:

Failed to parse (PNG conversion failed; check for correct installation of latex and dvipng (or dvips + gs + convert)): \int_\lambda_a^\lambda_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
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