Question: I want to run a Mathematica code repeatedly, even after the kernel shuts down when it is out of memory, because I have designed my program to continue appending the data to a file. Currently, I have to restart the kernel manually every 10 minutes. Does anyone have an idea how one can automate this process? Thanks.

Answer: 
If you preselect a range of cells before execution you can continue execution past kernel quit using the option below. Selection and evaluation can be automated and done repeatedly.

```
SetOptions[$FrontEnd, "ClearEvaluationQueueOnKernelQuit" -> False]

```

Ref : <https://stackoverflow.com/a/13740555/879601>

(`MemoryConstrained` looks a good solution for your specific problem though.)
Here is what rm -rf just mentioned, in the form of an example:

```
Do[
 MemoryConstrained[
  a = Range[10^n], 10000];
 Print[Total[a]],
 {n, 1, 10}
 ]

```

Output:

```
55

5050

500500

500500

500500

500500

500500

500500

500500

500500

```

By using `MemoryConstrained`, you don't get any changes in the list `a` after the maximum memory is reached in the above loop, but the loop continues to run.