{"product_id":"fast-and-approximate-computation-of-ines-melzer-9783832542269","title":"Fast and Approximate Computation of Laplace and Fourier Transforms","description":"T\u003cb\u003eFast and Approximate Computation of Laplace and Fourier Transforms\u003c\/b\u003e  Aby Ines Melzer  DIn this thesis, we treat the computation of transforms with asymptotically smooth and oscillatory kernels. We introduce the discrete Laplace transform in a modern form including a generalization to more general kernel functions. These more general kernels lead to specific function transforms. Moreover, we treat the butterfly fast Fourier transform. Based on a local error analysis, we develop a rigorous error analysis for the whole butterfly scheme. In the final part of the thesis, the Laplace and Fourier transform are combined to a fast Fourier transform for nonequispaced complex evaluation nodes. All theoretical results on accuracy and computational complexity are illustrated by numerical experiments.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Ines Melzer\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3832542264\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783832542269\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Logos Verlag Berlin\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 03\/20\/2016\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 125\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.20lbs","brand":"Ines Melzer","offers":[{"title":"Paperback","offer_id":48450135687423,"sku":"9783832542269","price":51.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_6048a3fc-fc47-4453-8c39-3d35717968a8.jpg?v=1777266365","url":"https:\/\/www.whiterainbookhouse.com\/products\/fast-and-approximate-computation-of-ines-melzer-9783832542269","provider":"WR Book House","version":"1.0","type":"link"}