“There are some things which cannot be learned quickly, and time, which is all we have, must be paid heavily for their acquiring. They are the very simplest things, and because it takes a man’s life to know them the little new that each man gets from life is very costly and the only heritage he has to leave.” - Ernest Hemingway (More…)
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Some popular partial differential equations (PDEs)
Single PDEs # Linear equations # Laplace’s equation $$ \begin{equation} \Delta u = \sum_{i=1}^{n} u_{x_i x_i} = 0. \end{equation} $$ Helmholtz’s (or eigenvalue) equation $$ \begin{equation} -\Delta u = \lambda u. \end{equation} $$ Linear transport equation $$ \begin{equation} u_t + \sum_{i=1}^{n} b^i u_{x_i} = 0. \end{equation} $$ Liouville’s equation $$ \begin{equation} u_t + \sum_{i=1}^{n} (b^i u)_{x_i} = 0. \end{equation} $$ Heat (or diffusion) equation $$ \begin{equation} u_t - \Delta u = 0. \end{equation} $$
Study Mathematics at HCMUS
1. Applied Mathematics # MNC - Research Methodologies MTT001 - Advanced Functional Analysis MTT006 - Advanced Linear Algebra MTT011 - Numerical Analysis MTT012 - Stochastic Process MTT081 - Optimization Algorithms MTT106 - Non-linear Programming MTT107 - Set-valued Analysis MTT083 - Convex Analysis MTT130 - Numerical Programming for Applied Problems MTT131 - Seminar in Applied Mathematics MTT139 - Mathematical Models in Economics MTT147 - Statistical Modelling MTT099 - Differential Equations MTT097 - Partial Differential Equations MTH10403 - Functional Analysis MTT090 - Complex Analysis MTT149 - Convex Analysis and Optimization 2. Mathematical Analysis # MTT001 - Advanced Functional Analysis MTT006 - Advanced Linear Algebra MTT099 - Differential Equations MTT097 - Partial Differential Equations MTT090 - Complex Analysis MTT149 - Convex Analysis and Optimization
Explainable Reinforcement Learning (XRL)
In the progress…
Reinforcement Learning (RL)
In the progress…
Temporal Knowledge Graph Completetion
In the progress…