Suppose I have server. A client loading an HTML file containing a javascript library will have the script executed by the browser. The problem here is that if the client's computer is slow, the processing will take a long time.
So I want to move the processing to the server side. But, instead of having to rewrite the entire javascript library into another language, I simply want to run the javascript on the server.
Googling "server side javascript" directs me to Node.JS, which in my imagination have the capability to do so. But, I cannot find a tutorial which does just that. Does this mean that there really is no easy way to do so? For example, because the javascript script may contain DOM specific things such as document.getElementById(), which does not make much sense on the server side.
You can't "merge" the client and server in this way. All you could do is process the data on the server and just display it in the client without any further processing. Maybe you should refresh you knowledge about HTTP and how websites are send to the clients. Without any additional tricks, like websockets, comet or ajax polling, you can't access the client after you send the initial website to it. Even than you can just send data to the client.
When you want to stick to Javascript, Node.js is a good option. But even than you would need to send the data you want processed to the server, process it there and send back the processed data in JSON or "display ready" HTML.