A method for numerical integration on an automatic computer
β Scribed by C. W. Clenshaw; A. R. Curtis
- Publisher
- Springer-Verlag
- Year
- 1960
- Tongue
- English
- Weight
- 426 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0029-599X
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π SIMILAR VOLUMES
## Abstract A method of formulating and computing numerically integrated stiffness matrices is presented. Through a better organization of the formulation which is easily achieved by the use of index notation, the computations for integrating and evaluating the element stiffness matrix are substant
A scheme for automatic numerical integration is presented, It uses the change of variable x = 1 +(2/'n-){[I + z2)]z%Ii~~\_arccos z} to transform the integral to be computed, f~f(x)dx. into (16/37r)f' f(xXl-z2)\/ii 7~dz, which is approximated by successive n-points Gauss-Chebyshev quadrature formulas