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Hello, um, I'm a new member, here, and, well, I need some help. I need a method that allows me to solve any partial differential equation. Why do I need it? Well, I'm trying to make a program, that will solve the equations of quantum mechanics, to create a quantum mechanical simulation. However, I need an algorithmic method of solving them.

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If you are looking for analytic solutions, you run into undecidability problems. If you are looking for a numerical simulation of quantum mechanical phenomena, you only need a program that approximates solutions to Schrödinger's equation. Please use the "edit" link to change your question into something more focused. – S. Carnahan♦ Jan 1 2011 at 5:46
You don't need to solve any partial differential equation; you probably need an algorithm to solve one of the many forms of Schrodinger's equation; I'm assuming this since your question doesn't seem like it's coming from someone who is on the doorstep of attempting to solve, numerically, the equations of relativistic quantum theories. (If I'm wrong, edit your question or leave a comment to that effect.) Googling will give you more leads than you'll ever be able to deal with, I'll warrant – drbobmeister Jan 1 2011 at 5:46
@Scott Carnahan--your comment on undecidability sounds interesting. Any references? – drbobmeister Jan 1 2011 at 5:48
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 @drbobmeister - I am not an expert in this field, and I do not know of good references. A bit of Googling yields jstor.org/pss/2274755 which has some nice facts on the first page. – S. Carnahan♦ Jan 1 2011 at 5:56
Very interesting. Thanks, Scott! – drbobmeister Jan 1 2011 at 6:07

closed as not a real question by S. Carnahan♦ Jan 1 2011 at 5:47

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