<story><title>Math Breakthrough Speeds Supercomputer Simulations</title><url>https://egghead.ucdavis.edu/2019/10/18/math-breakthrough-speeds-supercomputer-simulations/</url></story><parent_chain></parent_chain><comment><author>boulos</author><text>I only read the abstract from the most recent linked article [1], but it sounds like the results are statistically correct. For this field, that makes a lot of sense, rather than computing strictly “accurate” velocity&amp;#x2F;acceleration from finite differences (see [2] for the basics on this integration method &amp;#x2F; domain).&lt;p&gt;Edit (to make my comment clearer): they came up with a method to calculate the velocities they need for solving these equations with a new closed-form solution that doesn’t depend on the timestep size. This lets the author combine the new calculation with previous work to take big steps, yet still converge.&lt;p&gt;[1] &lt;a href=&quot;https:&amp;#x2F;&amp;#x2F;www.tandfonline.com&amp;#x2F;doi&amp;#x2F;figure&amp;#x2F;10.1080&amp;#x2F;00268976.2019.1662506?scroll=top&amp;amp;needAccess=true&quot; rel=&quot;nofollow&quot;&gt;https:&amp;#x2F;&amp;#x2F;www.tandfonline.com&amp;#x2F;doi&amp;#x2F;figure&amp;#x2F;10.1080&amp;#x2F;00268976.2019...&lt;/a&gt; which is actually also &lt;a href=&quot;https:&amp;#x2F;&amp;#x2F;arxiv.org&amp;#x2F;abs&amp;#x2F;1909.04380&quot; rel=&quot;nofollow&quot;&gt;https:&amp;#x2F;&amp;#x2F;arxiv.org&amp;#x2F;abs&amp;#x2F;1909.04380&lt;/a&gt;&lt;p&gt;[2] &lt;a href=&quot;https:&amp;#x2F;&amp;#x2F;en.m.wikipedia.org&amp;#x2F;wiki&amp;#x2F;Verlet_integration&quot; rel=&quot;nofollow&quot;&gt;https:&amp;#x2F;&amp;#x2F;en.m.wikipedia.org&amp;#x2F;wiki&amp;#x2F;Verlet_integration&lt;/a&gt;</text></comment>
<story><title>Math Breakthrough Speeds Supercomputer Simulations</title><url>https://egghead.ucdavis.edu/2019/10/18/math-breakthrough-speeds-supercomputer-simulations/</url></story><parent_chain></parent_chain><comment><author>mjsaah</author><text>anybody got a few sentence explanation of the new method? I worked in a lab that did MD in college, so I&amp;#x27;m kinda curious.</text></comment>