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By Ronald Cools (auth.), Terje O. Espelid, Alan Genz (eds.)

This quantity comprises refereed papers and prolonged abstracts of papers offered on the NATO complex learn Workshop entitled 'Numerical Integration: contemporary increase­ ments, software program and Applications', held on the collage of Bergen, Bergen, Norway, June 17-21,1991. The Workshop used to be attended by means of thirty-eight scientists. a complete of 8 NATO international locations have been represented. 11 invited lectures and twenty-three contributed lectures have been provided, of which twenty-five look in complete during this quantity, including 3 prolonged abstracts and one observe. the focus of the workshop was once to survey contemporary growth within the conception of equipment for the calculation of integrals and convey how the theoretical effects were utilized in software program improvement and in sensible purposes. The papers during this quantity fall into 4 large different types: numerical integration principles, numerical integration blunders research, numerical integration purposes and numerical integration algorithms and software program. it truly is 5 years because the final workshop of this nature used to be held, at Dalhousie college in Halifax, Canada, in 1986. fresh theoretical advancements have generally happened within the sector of integration rule building. For polynomial integrating principles, invariant thought and perfect concept were used to supply decrease bounds at the numbers of issues for various forms of multidimensional principles, and to assist in structuring the nonlinear structures which needs to be solved to figure out the issues and weights for the principles. Many new optimum or close to optimum principles were discovered for quite a few integration areas utilizing those techniques.

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