{"id":237,"date":"2011-01-24T16:51:40","date_gmt":"2011-01-24T15:51:40","guid":{"rendered":"http:\/\/numbercrunch.de\/blog\/?p=237"},"modified":"2015-08-27T15:58:06","modified_gmt":"2015-08-27T14:58:06","slug":"accelerating-the-fourier-split-operator-method","status":"publish","type":"post","link":"https:\/\/www.numbercrunch.de\/blog\/2011\/01\/accelerating-the-fourier-split-operator-method\/","title":{"rendered":"Accelerating the Fourier split operator method"},"content":{"rendered":"<p style=\"text-align: justify;\">In past postings I wrote on fast Fourier transform (FFT) performance and on GPU computing. In a new project both topics meet. We evaluated the FFT performance on GPUs. We found performance gains of more than one order of magnitude as compared to traditional (non-parallel) CPU codes.<\/p>\n<p style=\"text-align: justify;\">The FFT is a core algorithm that finds applications in many different computational problems.\u00a0 Thus, performing FFTs on GPUs may boost many applications. In a recent paper (see <a href=\"http:\/\/arxiv.org\/abs\/1012.3911\">arXiv:1012.3911<\/a>) we showed how to solve\u00a0 the time-dependent\u00a0 Schr\u00f6dinger equation and the time-dependent Dirac equations by a Fourier split operator method on GPU hardware.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In past postings I wrote on fast Fourier transform (FFT) performance and on GPU computing. In a new project both topics meet. We evaluated the FFT performance on GPUs. We found performance gains of more than one order of magnitude as compared to traditional (non-parallel) CPU codes. The FFT is a core algorithm that finds&hellip; <a href=\"https:\/\/www.numbercrunch.de\/blog\/2011\/01\/accelerating-the-fourier-split-operator-method\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Accelerating the Fourier split operator method<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13],"tags":[],"class_list":["post-237","post","type-post","status-publish","format-standard","hentry","category-gpu-computing"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.6 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Accelerating the Fourier split operator method - Number Crunch<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.numbercrunch.de\/blog\/2011\/01\/accelerating-the-fourier-split-operator-method\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Accelerating the Fourier split operator method - Number Crunch\" \/>\n<meta property=\"og:description\" content=\"In past postings I wrote on fast Fourier transform (FFT) performance and on GPU computing. In a new project both topics meet. We evaluated the FFT performance on GPUs. We found performance gains of more than one order of magnitude as compared to traditional (non-parallel) CPU codes. The FFT is a core algorithm that finds&hellip; Continue reading Accelerating the Fourier split operator method\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.numbercrunch.de\/blog\/2011\/01\/accelerating-the-fourier-split-operator-method\/\" \/>\n<meta property=\"og:site_name\" content=\"Number Crunch\" \/>\n<meta property=\"article:published_time\" content=\"2011-01-24T15:51:40+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2015-08-27T14:58:06+00:00\" \/>\n<meta name=\"author\" content=\"Heiko Bauke\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Heiko Bauke\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/www.numbercrunch.de\/blog\/2011\/01\/accelerating-the-fourier-split-operator-method\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.numbercrunch.de\/blog\/2011\/01\/accelerating-the-fourier-split-operator-method\/\"},\"author\":{\"name\":\"Heiko Bauke\",\"@id\":\"https:\/\/www.numbercrunch.de\/blog\/#\/schema\/person\/e73eab65b1721dd0c3d408edb887e413\"},\"headline\":\"Accelerating the Fourier split operator method\",\"datePublished\":\"2011-01-24T15:51:40+00:00\",\"dateModified\":\"2015-08-27T14:58:06+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.numbercrunch.de\/blog\/2011\/01\/accelerating-the-fourier-split-operator-method\/\"},\"wordCount\":106,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/www.numbercrunch.de\/blog\/#\/schema\/person\/e73eab65b1721dd0c3d408edb887e413\"},\"articleSection\":[\"GPU computing\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/www.numbercrunch.de\/blog\/2011\/01\/accelerating-the-fourier-split-operator-method\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.numbercrunch.de\/blog\/2011\/01\/accelerating-the-fourier-split-operator-method\/\",\"url\":\"https:\/\/www.numbercrunch.de\/blog\/2011\/01\/accelerating-the-fourier-split-operator-method\/\",\"name\":\"Accelerating the Fourier split operator method - Number Crunch\",\"isPartOf\":{\"@id\":\"https:\/\/www.numbercrunch.de\/blog\/#website\"},\"datePublished\":\"2011-01-24T15:51:40+00:00\",\"dateModified\":\"2015-08-27T14:58:06+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/www.numbercrunch.de\/blog\/2011\/01\/accelerating-the-fourier-split-operator-method\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.numbercrunch.de\/blog\/2011\/01\/accelerating-the-fourier-split-operator-method\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.numbercrunch.de\/blog\/2011\/01\/accelerating-the-fourier-split-operator-method\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/www.numbercrunch.de\/blog\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Accelerating the Fourier split operator method\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.numbercrunch.de\/blog\/#website\",\"url\":\"https:\/\/www.numbercrunch.de\/blog\/\",\"name\":\"Number Crunch\",\"description\":\"A computational science blog.\",\"publisher\":{\"@id\":\"https:\/\/www.numbercrunch.de\/blog\/#\/schema\/person\/e73eab65b1721dd0c3d408edb887e413\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.numbercrunch.de\/blog\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":[\"Person\",\"Organization\"],\"@id\":\"https:\/\/www.numbercrunch.de\/blog\/#\/schema\/person\/e73eab65b1721dd0c3d408edb887e413\",\"name\":\"Heiko Bauke\",\"logo\":{\"@id\":\"https:\/\/www.numbercrunch.de\/blog\/#\/schema\/person\/image\/\"}}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Accelerating the Fourier split operator method - Number Crunch","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.numbercrunch.de\/blog\/2011\/01\/accelerating-the-fourier-split-operator-method\/","og_locale":"en_US","og_type":"article","og_title":"Accelerating the Fourier split operator method - Number Crunch","og_description":"In past postings I wrote on fast Fourier transform (FFT) performance and on GPU computing. 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