{"id":64,"date":"2008-05-31T09:29:28","date_gmt":"2008-05-31T16:29:28","guid":{"rendered":"http:\/\/www.venzon.org\/?p=64"},"modified":"2008-05-31T09:30:37","modified_gmt":"2008-05-31T16:30:37","slug":"numerical-integration-methods","status":"publish","type":"post","link":"http:\/\/www.venzon.org\/?p=64","title":{"rendered":"Numerical Integration Methods"},"content":{"rendered":"<p>I did some research into numerical integration methods and have posted the results of my experiments in a wiki page:<br \/>\n<a href=\"I did some research into numerical integration methods and have posted the results of my experiments in a wiki page: http:\/\/wiki.vdrift.net\/Numerical_Integration  I'm not an expert on the subject, but from what I can see the NSV\/Symplectic Euler\/Euler-Cromer algorithm and the Velocity Verlet algorithms both look decent. Runge Kutta 4 is too complicated, too slow, and surprisingly isn't even as accurate as NSV\/Symplectic Euler\/Euler-Cromer.\">http:\/\/wiki.vdrift.net\/Numerical_Integration<\/a><\/p>\n<p>I&#8217;m not an expert on the subject, but from what I can see the NSV\/Symplectic Euler\/Euler-Cromer algorithm and the Velocity Verlet algorithms both look decent. Runge Kutta 4 is too complicated, too slow, and surprisingly isn&#8217;t even as accurate as NSV\/Symplectic Euler\/Euler-Cromer.<\/p>\n<p>An additional finding, which I didn&#8217;t post in the wiki article, is that when manually adjusting the position of one end of the spring (such as when moving a wheel up because of an increase in ground height), don&#8217;t also set the velocity based on the position difference. \u00c2\u00a0This causes a weird over-damped response if you do.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>I did some research into numerical integration methods and have posted the results of my experiments in a wiki page: http:\/\/wiki.vdrift.net\/Numerical_Integration I&#8217;m not an expert on the subject, but from what I can see the NSV\/Symplectic Euler\/Euler-Cromer algorithm and the Velocity Verlet algorithms both look decent. Runge Kutta 4 is too complicated, too slow, and [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-64","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"http:\/\/www.venzon.org\/index.php?rest_route=\/wp\/v2\/posts\/64","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.venzon.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.venzon.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.venzon.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.venzon.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=64"}],"version-history":[{"count":0,"href":"http:\/\/www.venzon.org\/index.php?rest_route=\/wp\/v2\/posts\/64\/revisions"}],"wp:attachment":[{"href":"http:\/\/www.venzon.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=64"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.venzon.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=64"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.venzon.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=64"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}