6.22.3 Can you answer these questions?

6.22.3.1 How can I make NDSolve aware of vectorial nature of an ODE?
6.22.3.2 NDsolve Boundary Condition is a Function of the Solution
6.22.3.3 Optimizing a graph-theoretic piece of code
6.22.3.1 How can I make NDSolve aware of vectorial nature of an ODE?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=230550

I am trying to solve the equilibrium equation $\text{DIV } \mathbf P(\textbf{u}(x,y)) = \mathbf{f}$, where $\mathbf P$ is the stress tensor defined by 
$$ 
\mathbf P = \mathbf F + (1-\det\mathbf F)^... 
[differential-equations] [tensors] [vector-calculus]
 
asked by rmk236 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=74782 1 vote
6.22.3.2 NDsolve Boundary Condition is a Function of the Solution

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=230520

I am trying to solve something like Fick's Law using  NDSolve : 
$$\frac{\partial \varphi}{\partial t}=\frac{\partial^2 \varphi}{\partial r^2}+F(r,t)$$ 
Subject to a ... 
[differential-equations] [equation-solving] [numerics] [integral-equations] [boundary-conditions]
 
asked by UranylTrioxide https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=74775 1 vote
6.22.3.3 Optimizing a graph-theoretic piece of code

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=230425

I have written the following piece of code: 
... 
[performance-tuning] [graphs-and-networks] [mathematical-optimization]
 
asked by Mr. Mister https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=74745 2 votes