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Moment-free numerical integration of highly oscillatory functions…
www.damtp.cam.ac.uk/user/na/NA_papers/NA2005_04.pdf14 Sep 2005: , f =. . f(x0). f(m01)(x0) f(xν). f(mν1)(xν). . For notational brevity we regard matrices as row vectors whose entries are column -
On the quadrature of multivariate highly oscillatory integrals over…
www.damtp.cam.ac.uk/user/na/NA_papers/NA2005_07.pdf3 Oct 2005: Feiωg. ]= feiωg then computing Ig[f, (a,b)] is trivial. We can rewrite this requirement. ... Though it is often more accuratethan a Levin-type method, the requirement of knowing moments makes it much less practical formultivariate integrals. -
an2000.dvi
www.damtp.cam.ac.uk/user/na/NA_papers/NA2000_03.pdf26 Sep 2005: Acta Numerica (2005), pp. 1–148 c Cambridge University Press, 1999. Lie-group methods. Arieh Iserles. Department of Applied Mathematics and Theoretical Physics,. University of Cambridge, England. Email: a.iserles@damtp.cam.ac.uk. Hans Z.
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