{"id":146603,"date":"2025-05-12T13:59:18","date_gmt":"2025-05-12T13:59:18","guid":{"rendered":"https:\/\/www.unipi.it\/ateneo\/organizzazione\/persone\/fabio-durastante-127883-en\/"},"modified":"2026-04-01T04:38:35","modified_gmt":"2026-04-01T02:38:35","slug":"fabio-durastante-127883-en","status":"publish","type":"unipi_persone","link":"https:\/\/www.unipi.it\/en\/about-us\/organisation\/people\/fabio-durastante-127883-en\/","title":{"rendered":"Fabio Durastante"},"content":{"rendered":"<p>Professore Associato &#8211; Dipartimento di Matematica | Tel.: 050 2213232 &#8211; Email: fabio.durastante@unipi.it<\/p>\n","protected":false},"template":"","meta":{"unipi-persone-chiave":"127883","unipi-persone-nome":"Fabio","unipi-persone-cognome":"Durastante","unipi-persone-email":"fabio.durastante@unipi.it","unipi-persone-cv":"","unipi-persone-link-esterno-cv":"https:\/\/fdurastante.github.io\/","unipi-persone-modalita-ricevimento":"Il ricevimento \u00e8 disponibile sulla piattaforma online BBB oppure in presenza in ufficio. Inviare una mail all'indirizzo istituzionale per prenotarsi (disponibili anche altri orari).","unipi-persone-luogo-ricevimento":"BBB: https:\/\/hausdorff.dm.unipi.it\/b\/fab-e7l-8ph-nwh\nUfficio: Dipartimento di Matematica, Ufficio 107, piano terra.","unipi-persone-ore-ricevimento":"Gioved\u00ec dalle 9.00 alle 10.45","unipi-persone-telefono":"050 2213232","unipi-persone-sitoweb":"https:\/\/fdurastante.github.io\/","unipi-persone-cariche":"","unipi-persone-link-orario-lezioni":"https:\/\/unipi.prod.up.cineca.it\/calendarioPubblico\/matricola=037726","unipi-persone-link-registro-lezioni":"https:\/\/unimap.unipi.it\/registri\/registri.php?ri=037726&tmplt=principale.tpl","unipi-persone-settore-scientifico":"Analisi Numerica MATH-05\/A","unipi-persone-ruolo":"Professore Associato","unipi-persone-arpi":"https:\/\/arpi.unipi.it\/cris\/rp\/rp67882","unipi-persone-pubblicazioni":"<ul class=\"pubblicazioni-list\"><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1357248\" target=\"_blank\" rel=\"noopener noreferrer\">A ?-Product Approach for Analytical and Numerical Solutions of Nonautonomous Linear Fractional Differential Equations<\/a> <span class=\"pub-details\">(Durastante, F.; Giscard, P. -L.; Pozza, S. - 2026 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1349027\" target=\"_blank\" rel=\"noopener noreferrer\">Stage-Parallel Implicit Runge\u2013Kutta Methods Via Low-Rank Matrix Equation Corrections<\/a> <span class=\"pub-details\">(Durastante, F.; Mazza, M. - 2026 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1308287\" target=\"_blank\" rel=\"noopener noreferrer\">Modeling advection on distance-weighted directed networks<\/a> <span class=\"pub-details\">(Benzi, Michele; Durastante, Fabio; Zigliotto, Francesco - 2025 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1340967\" target=\"_blank\" rel=\"noopener noreferrer\">A LIGHT IN THE DARK The Role of Coastal Lights in Night Navigation in Antiquity<\/a> <span class=\"pub-details\">(Mauro, C. M.; Durastante, F.; Diaz-Sanchez, C. - 2025 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1336432\" target=\"_blank\" rel=\"noopener noreferrer\">PSCToolkit: Solving Sparse Linear Systems with\u00a0a\u00a0Large Number of\u00a0GPUs<\/a> <span class=\"pub-details\">(D&#039;Ambra, P.; Durastante, F.; Filippone, S. - 2025 - 2.1 Contributo in volume (Capitolo o Saggio))<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1328647\" target=\"_blank\" rel=\"noopener noreferrer\">Enforcing Katz and PageRank Centrality Measures in Complex Networks<\/a> <span class=\"pub-details\">(Cipolla, Stefano; Durastante, Fabio; Meini, Beatrice - 2025 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1273707\" target=\"_blank\" rel=\"noopener noreferrer\">Efficient computation of the sinc matrix function for the integration of second-order differential equations<\/a> <span class=\"pub-details\">(Aceto, L.; Durastante, F. - 2024 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1265608\" target=\"_blank\" rel=\"noopener noreferrer\">Theoretical error estimates for computing the matrix logarithm by Pad\u00e9-type approximants<\/a> <span class=\"pub-details\">(Aceto, L.; Durastante, F. - 2024 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1262687\" target=\"_blank\" rel=\"noopener noreferrer\">On Kemeny&#039;s constant and stochastic complement<\/a> <span class=\"pub-details\">(Bini Dario, Andrea.; Durastante, F.; Kim, Sooyeong; Meini, Beatrice - 2024 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1236167\" target=\"_blank\" rel=\"noopener noreferrer\">Stochastic [{p}]th Root Approximation of a Stochastic Matrix: A Riemannian Optimization Approach<\/a> <span class=\"pub-details\">(Durastante, Fabio; Meini, Beatrice - 2024 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1228247\" target=\"_blank\" rel=\"noopener noreferrer\">Alya toward exascale: algorithmic scalability using PSCToolkit<\/a> <span class=\"pub-details\">(Owen, H.; Lehmkuhl, O.; D&#039;Ambra, P.; Durastante, F.; Filippone, S. - 2024 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1218770\" target=\"_blank\" rel=\"noopener noreferrer\">Nocturnal Seafaring: the Reduction of Visibility at Night and its Impact on Ancient Mediterranean Seafaring. A Study Based on 8\u20134th Centuries BC Evidence<\/a> <span class=\"pub-details\">(Mauro, C. M.; Durastante, F. - 2024 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1196327\" target=\"_blank\" rel=\"noopener noreferrer\">Why diffusion-based preconditioning of Richards equation works: Spectral analysis and computational experiments at very large scale<\/a> <span class=\"pub-details\">(Bertaccini, D.; D&#039;Ambra, P.; Durastante, F.; Filippone, S. - 2023 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1195769\" target=\"_blank\" rel=\"noopener noreferrer\">Automatic coarsening in Algebraic Multigrid utilizing quality measures for matching-based aggregations<\/a> <span class=\"pub-details\">(D&#039;Ambra, P.; Durastante, F.; Filippone, S.; Zikatanov, L. - 2023 - 1.1 Articolo in rivista)<\/span><\/li><li><a href=\"https:\/\/arpi.unipi.it\/handle\/11568\/1189867\" target=\"_blank\" rel=\"noopener noreferrer\">AMG Preconditioners based on Parallel Hybrid Coarsening and Multi-objective Graph Matching<\/a> <span class=\"pub-details\">(D&#039;Ambra, P.; Durastante, F.; Ferdous, S. M.; Filippone, S.; Halappanavar, M.; Pothen, A. - 2023 - 4.1 Contributo in Atti di convegno)<\/span><\/li><\/ul>","unipi-persone-didattica":"<ul class=\"registri-list\"><li>Laboratorio di introduzione alla matematica computazionale - corso a (cod. 1993Z) per Laurea in Matematica<\/li><li>Istituzioni di analisi numerica (cod. 772AA) per Laurea Magistrale in Matematica<br\/><strong>Insegnamenti condivisi\/mutuati:<\/strong><ul class=\"registri-shared\"><li>Istituzioni di analisi numerica (cod. 772AA) -  in <\/li><\/ul><\/li><\/ul>","unipi-persone-codocenze":"<h4 class=\"mt-2\">Incarichi di co-docenza in moduli\/insegnamenti<\/h4><ul><li>Calcolo Numerico (Cod. 459AA) per Laurea Magistrale in Ingegneria dei veicoli<\/li><li>Laboratorio di Introduzione alla Matematica Computazionale - Corso B (Cod. 1993Z) per Laurea in Matematica<\/li><\/ul>","unipi-persone-interessi-ricerca":"My research centers on the efficient numerical solution of extremely large, sparse linear systems&mdash;matrices so vast that they can contain billions or even trillions of unknowns, yet sparse enough to admit specialized iterative algorithms. I develop and analyze Krylov subspace methods alongside algebraic and geometric multigrid preconditioners that adapt dynamically to sequences of related problems, achieving robust convergence at scales previously out of reach. Translating these advances into practice, I have architected high-performance software toolkits that exploit CPU and GPU parallelism&mdash;demonstrating, for instance, how cutting-edge coarsening strategies and polynomial smoothers can accelerate industrial-scale fluid dynamics codes on the world&rsquo;s leading supercomputers.<br \/>\r\nExtending beyond classic linear systems, I investigate matrix functions and rational Krylov techniques, which enable the rapid evaluation of fractional powers, exponentials, and other transformations of large matrices. By leveraging low-rank corrections to update existing factorizations, these methods open new possibilities in time-dependent simulations, control applications, and network dynamics. In parallel, I explore the numerical treatment of fractional differential equations&mdash;modeling nonlocal, memory-dependent processes&mdash;by designing adaptive discretizations for Caputo-type derivatives, short-memory approximations, and specialized preconditioners that keep anomalous diffusion and wave-propagation simulations both accurate and tractable.<br \/>\r\nMy interests also span matrix-theoretic approaches to complex networks and optimal control of PDEs. I have introduced walk-based centrality measures grounded in Mittag-Leffler functions to capture nuanced connectivity patterns, and I have studied nonlocal diffusion on graphs through fractional Laplacians of variable order. In the realm of PDE-constrained optimization, I analyze the spectral structure of saddle-point systems and devise optimize-then-discretize schemes&mdash;combining quasi-Newton solvers like L-BFGS with bespoke preconditioners&mdash;to tackle inverse problems and design challenges in engineering. Throughout all these endeavors, I prioritize clean, modular code&mdash;written in Fortran, C, Python, and MATLAB&mdash;and leverage MPI, OpenMP, and CUDA to ensure that theory, software, and real-world applications converge seamlessly at the exascale.<br \/>\r\n&nbsp;","_wpml_word_count":"14","_last_translation_edit_mode":"translation-editor","_elementor_page_assets":[]},"organizzazioni":[3710],"class_list":["post-146603","unipi_persone","type-unipi_persone","status-publish","hentry","organizzazioni-dipartimento-di-matematica-529999-en"],"email":"fabio.durastante@unipi.it","telefono":"050 2213232","content_plain":"Professore Associato &#8211; Dipartimento di Matematica | Tel.: 050 2213232 &#8211; Email: fabio.durastante@unipi.it","photo_url":"https:\/\/www.unipi.it\/fotopersonale\/127883.jpg","ruoli_tags":[{"id":759,"name":"PA","slug":"pa"}],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.0 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Fabio Durastante ~ UNIPI<\/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.unipi.it\/en\/about-us\/organisation\/people\/fabio-durastante-127883-en\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Fabio Durastante ~ UNIPI\" \/>\n<meta property=\"og:description\" content=\"Professore Associato &#8211; Dipartimento di Matematica | Tel.: 050 2213232 &#8211; Email: fabio.durastante@unipi.it\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.unipi.it\/en\/about-us\/organisation\/people\/fabio-durastante-127883-en\/\" \/>\n<meta property=\"og:site_name\" content=\"UNIPI\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/unipisaofficial\/\" \/>\n<meta property=\"article:modified_time\" content=\"2026-04-01T02:38:35+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.unipi.it\/en\/about-us\/organisation\/people\/fabio-durastante-127883-en\/\",\"url\":\"https:\/\/www.unipi.it\/en\/about-us\/organisation\/people\/fabio-durastante-127883-en\/\",\"name\":\"Fabio Durastante ~ UNIPI\",\"isPartOf\":{\"@id\":\"https:\/\/www.unipi.it\/en\/#website\"},\"datePublished\":\"2025-05-12T13:59:18+00:00\",\"dateModified\":\"2026-04-01T02:38:35+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/www.unipi.it\/en\/about-us\/organisation\/people\/fabio-durastante-127883-en\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.unipi.it\/en\/about-us\/organisation\/people\/fabio-durastante-127883-en\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.unipi.it\/en\/about-us\/organisation\/people\/fabio-durastante-127883-en\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\",\"item\":\"https:\/\/www.unipi.it\/en\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Fabio Durastante\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.unipi.it\/en\/#website\",\"url\":\"https:\/\/www.unipi.it\/en\/\",\"name\":\"UNIPI\",\"description\":\"UNIPI\",\"publisher\":{\"@id\":\"https:\/\/www.unipi.it\/en\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.unipi.it\/en\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/www.unipi.it\/en\/#organization\",\"name\":\"UNIPI\",\"url\":\"https:\/\/www.unipi.it\/en\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.unipi.it\/en\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/www.unipi.it\/wp-content\/uploads\/Raggruppa-3020.svg\",\"contentUrl\":\"https:\/\/www.unipi.it\/wp-content\/uploads\/Raggruppa-3020.svg\",\"width\":176,\"height\":64,\"caption\":\"UNIPI\"},\"image\":{\"@id\":\"https:\/\/www.unipi.it\/en\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.facebook.com\/unipisaofficial\/\",\"https:\/\/www.instagram.com\/unipisa\/\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Fabio Durastante ~ UNIPI","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.unipi.it\/en\/about-us\/organisation\/people\/fabio-durastante-127883-en\/","og_locale":"en_US","og_type":"article","og_title":"Fabio Durastante ~ UNIPI","og_description":"Professore Associato &#8211; 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