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>\ | + | :<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
- 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]