Jekyll2026-10-22T18:40:46+00:00https://terryliu3.github.io/feed.xmlblankTuo Liu is a PhD student in Applied Mathematics at KAUST working on online learning, uncertainty quantification, and optimization. Solving Differential Equation Numerically2023-02-23T15:12:00+00:002023-02-23T15:12:00+00:00https://terryliu3.github.io/blog/2023/numerical-DEThis theme supports rendering beautiful math in inline and display modes using MathJax 3 engine. You just need to surround your math expression with $$, like $$ E = mc^2 $$. If you leave it inside a paragraph, it will produce an inline expression, just like \(E = mc^2\).

To use display mode, again surround your expression with $$ and place it as a separate paragraph. Here is an example:

\[\sum_{k=1}^\infty |\langle x, e_k \rangle|^2 \leq \|x\|^2\]

You can also use \begin{equation}...\end{equation} instead of $$ for display mode math. MathJax will automatically number equations:

\begin{equation} \label{eq:cauchy-schwarz} \left( \sum_{k=1}^n a_k b_k \right)^2 \leq \left( \sum_{k=1}^n a_k^2 \right) \left( \sum_{k=1}^n b_k^2 \right) \end{equation}

and by adding \label{...} inside the equation environment, we can now refer to the equation using \eqref.

Note that MathJax 3 is a major re-write of MathJax that brought a significant improvement to the loading and rendering speed, which is now on par with KaTeX.

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