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Fisica computazionale - Wikipedia
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class="vector-toc-numb">5</span> <span>Altri progetti</span> </div> </a> <ul id="toc-Altri_progetti-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Indice" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Mostra/Nascondi l'indice" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet 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mw-list-item"><a href="https://az.wikipedia.org/wiki/Hesablama_fizikas%C4%B1" title="Hesablama fizikası - azerbaigiano" lang="az" hreflang="az" data-title="Hesablama fizikası" data-language-autonym="Azərbaycanca" data-language-local-name="azerbaigiano" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%AA%E0%A6%B0%E0%A6%BF%E0%A6%97%E0%A6%A3%E0%A6%A8%E0%A6%BE%E0%A6%AE%E0%A7%82%E0%A6%B2%E0%A6%95_%E0%A6%AA%E0%A6%A6%E0%A6%BE%E0%A6%B0%E0%A7%8D%E0%A6%A5%E0%A6%AC%E0%A6%BF%E0%A6%9C%E0%A7%8D%E0%A6%9E%E0%A6%BE%E0%A6%A8" title="পরিগণনামূলক পদার্থবিজ্ঞান - bengalese" lang="bn" hreflang="bn" data-title="পরিগণনামূলক পদার্থবিজ্ঞান" data-language-autonym="বাংলা" data-language-local-name="bengalese" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/F%C3%ADsica_computacional" title="Física computacional - catalano" lang="ca" hreflang="ca" data-title="Física computacional" data-language-autonym="Català" data-language-local-name="catalano" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%A8%D1%83%D1%82%D0%BB%D0%B0%D0%B2%D0%BB%D0%B0_%D1%84%D0%B8%D0%B7%D0%B8%D0%BA%D0%B0" title="Шутлавла физика - ciuvascio" lang="cv" hreflang="cv" data-title="Шутлавла физика" data-language-autonym="Чӑвашла" data-language-local-name="ciuvascio" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Computerfysik" title="Computerfysik - danese" lang="da" hreflang="da" data-title="Computerfysik" data-language-autonym="Dansk" data-language-local-name="danese" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Computerphysik" title="Computerphysik - tedesco" lang="de" hreflang="de" data-title="Computerphysik" data-language-autonym="Deutsch" data-language-local-name="tedesco" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%A5%CF%80%CE%BF%CE%BB%CE%BF%CE%B3%CE%B9%CF%83%CF%84%CE%B9%CE%BA%CE%AE_%CF%86%CF%85%CF%83%CE%B9%CE%BA%CE%AE" title="Υπολογιστική φυσική - greco" lang="el" hreflang="el" data-title="Υπολογιστική φυσική" data-language-autonym="Ελληνικά" data-language-local-name="greco" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Computational_physics" title="Computational physics - inglese" lang="en" hreflang="en" data-title="Computational physics" data-language-autonym="English" data-language-local-name="inglese" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/F%C3%ADsica_computacional" title="Física computacional - spagnolo" lang="es" hreflang="es" data-title="Física computacional" data-language-autonym="Español" data-language-local-name="spagnolo" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%81%DB%8C%D8%B2%DB%8C%DA%A9_%D9%85%D8%AD%D8%A7%D8%B3%D8%A8%D8%A7%D8%AA%DB%8C" title="فیزیک محاسباتی - persiano" lang="fa" hreflang="fa" data-title="فیزیک محاسباتی" data-language-autonym="فارسی" data-language-local-name="persiano" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Laskennallinen_fysiikka" title="Laskennallinen fysiikka - finlandese" lang="fi" hreflang="fi" data-title="Laskennallinen fysiikka" data-language-autonym="Suomi" data-language-local-name="finlandese" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Physique_num%C3%A9rique" title="Physique numérique - francese" lang="fr" hreflang="fr" data-title="Physique numérique" data-language-autonym="Français" data-language-local-name="francese" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A4%D7%99%D7%96%D7%99%D7%A7%D7%94_%D7%97%D7%99%D7%A9%D7%95%D7%91%D7%99%D7%AA" title="פיזיקה חישובית - ebraico" lang="he" hreflang="he" data-title="פיזיקה חישובית" data-language-autonym="עברית" data-language-local-name="ebraico" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%85%E0%A4%AD%E0%A4%BF%E0%A4%95%E0%A4%B2%E0%A4%A8%E0%A4%BE%E0%A4%A4%E0%A5%8D%E0%A4%AE%E0%A4%95_%E0%A4%AD%E0%A5%8C%E0%A4%A4%E0%A4%BF%E0%A4%95%E0%A5%80" title="अभिकलनात्मक भौतिकी - hindi" lang="hi" hreflang="hi" data-title="अभिकलनात्मक भौतिकी" data-language-autonym="हिन्दी" data-language-local-name="hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%80%D5%A1%D5%B7%D5%BE%D5%B8%D5%B2%D5%A1%D5%AF%D5%A1%D5%B6_%D6%86%D5%AB%D5%A6%D5%AB%D5%AF%D5%A1" title="Հաշվողական ֆիզիկա - armeno" lang="hy" hreflang="hy" data-title="Հաշվողական ֆիզիկա" data-language-autonym="Հայերեն" data-language-local-name="armeno" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Fisika_komputasi" title="Fisika komputasi - indonesiano" lang="id" hreflang="id" data-title="Fisika komputasi" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesiano" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E8%A8%88%E7%AE%97%E7%89%A9%E7%90%86%E5%AD%A6" title="計算物理学 - giapponese" lang="ja" hreflang="ja" data-title="計算物理学" data-language-autonym="日本語" data-language-local-name="giapponese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EA%B3%84%EC%82%B0%EB%AC%BC%EB%A6%AC%ED%95%99" title="계산물리학 - coreano" lang="ko" hreflang="ko" data-title="계산물리학" data-language-autonym="한국어" data-language-local-name="coreano" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%95%E0%B4%AE%E0%B5%8D%E0%B4%AA%E0%B5%8D%E0%B4%AF%E0%B5%82%E0%B4%9F%E0%B5%8D%E0%B4%9F%E0%B5%87%E0%B4%B7%E0%B4%A8%E0%B5%BD_%E0%B4%AB%E0%B4%BF%E0%B4%B8%E0%B4%BF%E0%B4%95%E0%B5%8D%E0%B4%B8%E0%B5%8D" title="കമ്പ്യൂട്ടേഷനൽ ഫിസിക്സ് - malayalam" lang="ml" hreflang="ml" data-title="കമ്പ്യൂട്ടേഷനൽ ഫിസിക്സ്" data-language-autonym="മലയാളം" data-language-local-name="malayalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%A2%D0%BE%D0%BE%D1%86%D0%BE%D0%BE%D0%BB%D0%BB%D1%8B%D0%BD_%D1%84%D0%B8%D0%B7%D0%B8%D0%BA" title="Тооцооллын физик - mongolo" lang="mn" hreflang="mn" data-title="Тооцооллын физик" data-language-autonym="Монгол" data-language-local-name="mongolo" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Numerieke_natuurkunde" title="Numerieke natuurkunde - olandese" lang="nl" hreflang="nl" data-title="Numerieke natuurkunde" data-language-autonym="Nederlands" data-language-local-name="olandese" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Fizyka_komputerowa" title="Fizyka komputerowa - polacco" lang="pl" hreflang="pl" data-title="Fizyka komputerowa" data-language-autonym="Polski" data-language-local-name="polacco" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-ps mw-list-item"><a href="https://ps.wikipedia.org/wiki/%D9%85%D8%AD%D8%A7%D8%B3%D8%A8%D8%A7%D8%AA%D9%8A_%D9%81%D8%B2%DB%8C%DA%A9" title="محاسباتي فزیک - pashto" lang="ps" hreflang="ps" data-title="محاسباتي فزیک" data-language-autonym="پښتو" data-language-local-name="pashto" class="interlanguage-link-target"><span>پښتو</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/F%C3%ADsica_computacional" title="Física computacional - portoghese" lang="pt" hreflang="pt" data-title="Física computacional" data-language-autonym="Português" data-language-local-name="portoghese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%92%D1%8B%D1%87%D0%B8%D1%81%D0%BB%D0%B8%D1%82%D0%B5%D0%BB%D1%8C%D0%BD%D0%B0%D1%8F_%D1%84%D0%B8%D0%B7%D0%B8%D0%BA%D0%B0" title="Вычислительная физика - russo" lang="ru" hreflang="ru" data-title="Вычислительная физика" data-language-autonym="Русский" data-language-local-name="russo" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Po%C4%8D%C3%ADta%C4%8Dov%C3%A1_fyzika" title="Počítačová fyzika - slovacco" lang="sk" hreflang="sk" data-title="Počítačová fyzika" data-language-autonym="Slovenčina" data-language-local-name="slovacco" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Ber%C3%A4kningsfysik" title="Beräkningsfysik - svedese" lang="sv" hreflang="sv" data-title="Beräkningsfysik" data-language-autonym="Svenska" data-language-local-name="svedese" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Pisikang_pangkomputasyon" title="Pisikang pangkomputasyon - tagalog" lang="tl" hreflang="tl" data-title="Pisikang pangkomputasyon" data-language-autonym="Tagalog" data-language-local-name="tagalog" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Hesaplamal%C4%B1_fizik" title="Hesaplamalı fizik - turco" lang="tr" hreflang="tr" data-title="Hesaplamalı fizik" data-language-autonym="Türkçe" data-language-local-name="turco" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9E%D0%B1%D1%87%D0%B8%D1%81%D0%BB%D1%8E%D0%B2%D0%B0%D0%BB%D1%8C%D0%BD%D0%B0_%D1%84%D1%96%D0%B7%D0%B8%D0%BA%D0%B0" title="Обчислювальна фізика - ucraino" lang="uk" hreflang="uk" data-title="Обчислювальна фізика" data-language-autonym="Українська" data-language-local-name="ucraino" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Hisoblash_fizikasi" title="Hisoblash fizikasi - uzbeco" lang="uz" hreflang="uz" data-title="Hisoblash fizikasi" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbeco" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/V%E1%BA%ADt_l%C3%BD_t%C3%ADnh_to%C3%A1n" title="Vật lý tính toán - vietnamita" lang="vi" hreflang="vi" data-title="Vật lý tính toán" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamita" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Fisika_pankompyutasyon" title="Fisika pankompyutasyon - waray" lang="war" hreflang="war" data-title="Fisika pankompyutasyon" data-language-autonym="Winaray" data-language-local-name="waray" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E8%AE%A1%E7%AE%97%E7%89%A9%E7%90%86%E5%AD%A6" title="计算物理学 - cinese" lang="zh" hreflang="zh" data-title="计算物理学" data-language-autonym="中文" data-language-local-name="cinese" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E9%81%8B%E7%AE%97%E7%89%A9%E7%90%86%E5%AD%B8" title="運算物理學 - cantonese" lang="yue" hreflang="yue" data-title="運算物理學" data-language-autonym="粵語" data-language-local-name="cantonese" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q909554#sitelinks-wikipedia" title="Modifica collegamenti interlinguistici" class="wbc-editpage">Modifica collegamenti</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Namespace"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div 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</nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Da Wikipedia, l'enciclopedia libera.</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="it" dir="ltr"><style data-mw-deduplicate="TemplateStyles:r133964453">.mw-parser-output .avviso .mbox-text-div>div,.mw-parser-output .avviso .mbox-text-full-div>div{font-size:90%}.mw-parser-output .avviso .mbox-image{flex-basis:52px;flex-grow:0;flex-shrink:0}.mw-parser-output .avviso .mbox-text-full-div .hide-when-compact{display:block}</style><div style="" class="ambox metadata plainlinks avviso avviso-contenuto"> <div class="avviso-immagine mbox-image noprint"><span typeof="mw:File"><a href="/wiki/File:Question_book-4.svg" class="mw-file-description" title="Niente fonti!"><img alt="Niente fonti!" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/64/Question_book-4.svg/45px-Question_book-4.svg.png" decoding="async" width="45" height="35" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/64/Question_book-4.svg/68px-Question_book-4.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/64/Question_book-4.svg/90px-Question_book-4.svg.png 2x" data-file-width="262" data-file-height="204" /></a></span></div> <div class="avviso-testo mbox-text"> <div class="mbox-text-div"><b>Questa voce o sezione  sull'argomento fisica <a href="/wiki/Wikipedia:Uso_delle_fonti" title="Wikipedia:Uso delle fonti">non cita le fonti necessarie</a> o quelle presenti sono insufficienti</b>. <div class="hide-when-compact"> <div class="noprint"><hr />Puoi <a class="external text" href="https://it.wikipedia.org/w/index.php?title=Fisica_computazionale&action=edit">migliorare questa voce</a> aggiungendo citazioni da <a href="/wiki/Wikipedia:Fonti_attendibili" title="Wikipedia:Fonti attendibili">fonti attendibili</a> secondo le <a href="/wiki/Wikipedia:Uso_delle_fonti" title="Wikipedia:Uso delle fonti">linee guida sull'uso delle fonti</a>. Segui i suggerimenti del <a href="/wiki/Progetto:Fisica" title="Progetto:Fisica">progetto di riferimento</a>.</div> </div> </div> </div> </div> <p>La <b>fisica computazionale</b> è lo studio e l'implementazione di metodi di <a href="/wiki/Analisi_numerica" title="Analisi numerica">analisi numerica</a> per risolvere problemi propri della <a href="/wiki/Fisica" title="Fisica">fisica</a> per i quali esiste già una teoria quantitativa.<sup id="cite_ref-:0_1-0" class="reference"><a href="#cite_note-:0-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> Storicamente, è stata la prima applicazione dei computer alla scienza, ed ora è una sottobranca della <a href="/wiki/Scienza_computazionale" title="Scienza computazionale">scienza computazionale</a>. </p><p>Spesso si considera come una sotto-disciplina della <a href="/wiki/Fisica_teorica" title="Fisica teorica">fisica teorica</a>, ma alcuni la considerano una via di mezzo tra la fisica teorica stessa e quella <a href="/wiki/Fisica_sperimentale" title="Fisica sperimentale">sperimentale</a>.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p><p>In <a href="/wiki/Fisica" title="Fisica">fisica</a>, si utilizzano spesso delle precise teorie matematiche per descrivere il comportamento dei sistemi in esame. Tuttavia capita spesso che il <a href="/wiki/Modello_matematico" title="Modello matematico">modello matematico</a> per un determinato sistema sia troppo complicato da risolvere per ottenere una previsione utile. Questo avviene quando non ci sono soluzioni analitiche complete o sono troppo complicate, come nella <a href="/wiki/Meccanica_quantistica" title="Meccanica quantistica">meccanica quantistica</a>. In questi casi, sono necessarie approssimazioni numeriche, per ottenere le quali si utilizzano metodi computazionali che per la maggior parte si basano su <a href="/wiki/Algoritmo" title="Algoritmo">algoritmi</a>.<sup id="cite_ref-:0_1-1" class="reference"><a href="#cite_note-:0-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Applicazioni_di_fisica_computazionale">Applicazioni di fisica computazionale</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fisica_computazionale&veaction=edit&section=1" title="Modifica la sezione Applicazioni di fisica computazionale" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Fisica_computazionale&action=edit&section=1" title="Edit section's source code: Applicazioni di fisica computazionale"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>I modelli computazionali sono usati principalmente nella <a href="/wiki/Fisica_dello_stato_solido" title="Fisica dello stato solido">fisica dello stato solido</a>, <a href="/wiki/Meccanica_dei_fluidi" title="Meccanica dei fluidi">meccanica dei fluidi</a>, e <a href="/wiki/Teoria_di_gauge" title="Teoria di gauge">teoria di gauge</a> oltre ad altre aree. La fisica computazionale dello stato solido, per esempio, usa la teoria delle <a href="/wiki/Funzione_di_densit%C3%A0_di_probabilit%C3%A0" title="Funzione di densità di probabilità">funzioni di densità</a> per calcolare le proprietà dei solidi, un metodo simile a quello utilizzato in <a href="/wiki/Chimica" title="Chimica">chimica</a> per studiare le proprietà delle <a href="/wiki/Molecole" class="mw-redirect" title="Molecole">molecole</a>. Nella fisica dello stato solido, la struttura elettronica, le proprietà magnetiche e le <a href="/wiki/Densit%C3%A0_di_carica" title="Densità di carica">densità di carica</a> possono essere calcolate in molti modi, compreso il metodo <a href="/w/index.php?title=Modello_Luttinger-Kohn&action=edit&redlink=1" class="new" title="Modello Luttinger-Kohn (la pagina non esiste)">Luttinger-Kohn</a>. </p><p>Molti altri problemi numerici generali rientrano nel campo della fisica computazionale anche se potrebbero facilmente essere considerati problemi di <a href="/wiki/Matematica" title="Matematica">matematica</a> pura. Questi includono: </p> <ul><li>Risoluzione di <a href="/wiki/Equazione_differenziale" title="Equazione differenziale">equazioni differenziali</a></li> <li>Valutazioni sugli <a href="/wiki/Integrale" title="Integrale">integrali</a></li> <li>Metodi stocastici, specialmente il <a href="/wiki/Metodo_Monte_Carlo" title="Metodo Monte Carlo">metodo Monte Carlo</a></li> <li>Metodi particolari sulle <a href="/wiki/Equazione_differenziale_alle_derivate_parziali" title="Equazione differenziale alle derivate parziali">equazioni differenziali alle derivate parziali</a>, per esempio il <a href="/wiki/Metodo_delle_differenze_finite" title="Metodo delle differenze finite">metodo delle differenze finite</a> e il <a href="/wiki/Metodo_degli_elementi_finiti" title="Metodo degli elementi finiti">metodo degli elementi finiti</a></li> <li>Problemi riguardanti <a href="/wiki/Matrice" title="Matrice">matrici</a> di grandi dimensioni</li> <li><a href="/w/index.php?title=Metodo_pseudo-spettrale&action=edit&redlink=1" class="new" title="Metodo pseudo-spettrale (la pagina non esiste)">Metodo pseudo-spettrale</a></li> <li>Schemi compatti di ordine elevato</li> <li>Elementi di frontiera</li> <li>Particolazione nei problemi multicorpi</li></ul> <p>Tutti questi metodi (e molti altri) sono utilizzati per calcolare le proprietà fisiche dei sistemi. La fisica computazionale comprende inoltre la messa a punto delle strutture software/hardware per risolvere problemi particolari (che richiedono potenze di calcolo e memoria molto elevate). </p> <div class="mw-heading mw-heading2"><h2 id="Note">Note</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fisica_computazionale&veaction=edit&section=2" title="Modifica la sezione Note" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Fisica_computazionale&action=edit&section=2" title="Edit section's source code: Note"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-:0-1"><span class="mw-cite-backlink"><b>^</b> <sup><i><a href="#cite_ref-:0_1-0">a</a></i></sup> <sup><i><a href="#cite_ref-:0_1-1">b</a></i></sup></span> <span class="reference-text"><cite class="citation libro" style="font-style:normal"> Joseph Marie Thijssen, <a rel="nofollow" class="external text" href="https://www.worldcat.org/oclc/817871593"><span style="font-style:italic;">Computational physics</span></a>, 2ª ed., Cambridge University Press, 2007, <a href="/wiki/ISBN" title="ISBN">ISBN</a> <a href="/wiki/Speciale:RicercaISBN/9781139171397" title="Speciale:RicercaISBN/9781139171397">9781139171397</a>, <a href="/wiki/Online_Computer_Library_Center" title="Online Computer Library Center">OCLC</a> <a rel="nofollow" class="external text" href="//www.worldcat.org/oclc/817871593">817871593</a>. <small>URL consultato il 5 ottobre 2019</small>.</cite></span> </li> <li id="cite_note-2"><a href="#cite_ref-2"><b>^</b></a> <span class="reference-text"><cite class="citation libro" style="font-style:normal"> Rubin H. Landau, Manuel J. Paez e Cristian C. Bordeianu, <a rel="nofollow" class="external text" href="https://www.worldcat.org/oclc/923138742"><span style="font-style:italic;">Computational physics : problem solving with Python</span></a>, John Wiley and Sons, 2015, <a href="/wiki/ISBN" title="ISBN">ISBN</a> <a href="/wiki/Speciale:RicercaISBN/9783527684694" title="Speciale:RicercaISBN/9783527684694">9783527684694</a>, <a href="/wiki/Online_Computer_Library_Center" title="Online Computer Library Center">OCLC</a> <a rel="nofollow" class="external text" href="//www.worldcat.org/oclc/923138742">923138742</a>. <small>URL consultato il 5 ottobre 2019</small>.</cite></span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="Bibliografia">Bibliografia</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fisica_computazionale&veaction=edit&section=3" title="Modifica la sezione Bibliografia" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Fisica_computazionale&action=edit&section=3" title="Edit section's source code: Bibliografia"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><cite class="citation libro" style="font-style:normal"> A.K. Hartmann, <a rel="nofollow" class="external text" href="https://web.archive.org/web/20090211113048/http://worldscibooks.com/physics/6988.html"><span style="font-style:italic;">Practical Guide to Computer Simulations</span></a>, World Scientific, 2009. <small>URL consultato il 5 ottobre 2019</small> <small>(archiviato dall'<abbr title="http://worldscibooks.com/physics/6988.html">url originale</abbr> l'11 febbraio 2009)</small>.</cite></li> <li><cite class="citation libro" style="font-style:normal"> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20041103090645/http://www.worldscinet.com/ijmpc/ijmpc.shtml"><span style="font-style:italic;">International Journal of Modern Physics C (IJMPC): Physics and Computers]</span></a>, World Scientific. <small>URL consultato il 5 ottobre 2019</small> <small>(archiviato dall'<abbr title="http://www.worldscinet.com/ijmpc/ijmpc.shtml">url originale</abbr> il 3 novembre 2004)</small>.</cite></li> <li><cite class="citation libro" style="font-style:normal"> Steven E. Koonin, <span style="font-style:italic;">Computational Physics</span>, Addison-Wesley, 1986.</cite></li> <li><cite class="citation libro" style="font-style:normal"> T. Pang, <span style="font-style:italic;">An Introduction to Computational Physics</span>, Cambridge University Press, 2010.</cite></li> <li><cite class="citation libro" style="font-style:normal"> B. Stickler e E. Schachinger, <span style="font-style:italic;">Basic concepts in computational physics</span>, Springer Verlag, 2013, <a href="/wiki/ISBN" title="ISBN">ISBN</a> <a href="/wiki/Speciale:RicercaISBN/9783319024349" title="Speciale:RicercaISBN/9783319024349">9783319024349</a>.</cite></li> <li><cite class="citation libro" style="font-style:normal"> E. Winsberg, <a rel="nofollow" class="external text" href="https://archive.org/details/scienceinageofco0000wins"><span style="font-style:italic;">Science in the Age of Computer Simulation</span></a>, University of Chicago Press, 2010.</cite></li></ul> <div class="mw-heading mw-heading2"><h2 id="Voci_correlate">Voci correlate</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fisica_computazionale&veaction=edit&section=4" title="Modifica la sezione Voci correlate" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Fisica_computazionale&action=edit&section=4" title="Edit section's source code: Voci correlate"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Dinamica_molecolare" title="Dinamica molecolare">Dinamica molecolare</a></li> <li><a href="/wiki/Fluidodinamica_computazionale" title="Fluidodinamica computazionale">Fluidodinamica computazionale</a></li> <li><a href="/wiki/Scienza_computazionale" title="Scienza computazionale">Scienza computazionale</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Altri_progetti">Altri progetti</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fisica_computazionale&veaction=edit&section=5" title="Modifica la sezione Altri progetti" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Fisica_computazionale&action=edit&section=5" title="Edit section's source code: Altri progetti"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <div id="interProject" class="toccolours" style="display: none; clear: both; margin-top: 2em"><p id="sisterProjects" style="background-color: #efefef; color: black; font-weight: bold; margin: 0"><span>Altri progetti</span></p><ul title="Collegamenti verso gli altri progetti Wikimedia"> <li class="" title=""><span class="plainlinks" title="commons:Category:Computational physics"><a class="external text" href="https://commons.wikimedia.org/wiki/Category:Computational_physics?uselang=it">Wikimedia Commons</a></span></li></ul></div> <ul><li><span typeof="mw:File"><a href="https://commons.wikimedia.org/wiki/?uselang=it" title="Collabora a Wikimedia Commons"><img alt="Collabora a Wikimedia Commons" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/18px-Commons-logo.svg.png" decoding="async" width="18" height="24" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/27px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/36px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></a></span> <span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/?uselang=it">Wikimedia Commons</a></span> contiene immagini o altri file su <b><span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/Category:Computational_physics?uselang=it">fisica computazionale</a></span></b></li></ul> <style data-mw-deduplicate="TemplateStyles:r140554510">.mw-parser-output .CdA{border:1px solid #aaa;width:100%;margin:auto;font-size:90%;padding:2px}.mw-parser-output .CdA th{background-color:#f2f2f2;font-weight:bold;width:20%}@media screen{html.skin-theme-clientpref-night .mw-parser-output .CdA{border-color:#54595D}html.skin-theme-clientpref-night .mw-parser-output .CdA th{background-color:#202122}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .CdA{border-color:#54595D}html.skin-theme-clientpref-os .mw-parser-output .CdA th{background-color:#202122}}</style><table class="CdA"><tbody><tr><th><a href="/wiki/Aiuto:Controllo_di_autorit%C3%A0" title="Aiuto:Controllo di autorità">Controllo di autorità</a></th><td><a href="/wiki/Gemeinsame_Normdatei" title="Gemeinsame Normdatei">GND</a> <span class="uid">(<span style="font-weight:bolder; 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