This is so much nicer to use than LTSpice. Probably not nearly as accurate, but great for testing a quick idea. The current flow visualisation is really helpful as well.
Right, it's fixed timestep, and I think only simple Newton integration as well. It's very easy to break, say by setting up nonlinear or near-singular* circuits, or using too large a timestep. The main advantage is, it's easy to compute, and always has an answer -- it won't error out (as SPICE will). It's up to you to figure out if that answer is reasonable or not, though...

*Singular matrix: To solve the next timestep, an equation of the form Ax2 = x1 is solved, where A is a matrix of connections, x1 is a vector of node voltages from last timestep, and x2 is the next timestep. To solve for x2, the inverse of A is computed, and multiplied on both sides, canceling out A[sup-1]A on the left. Basically, it's division, and when A is nearly zero, the result blows up because you're dividing by (near) zero. A matrix has many more, and more subtle, ways in which it can be "zero" in this sense. This is called a
singular matrix. But, in short, it's very much analogous to division by zero.
I suppose I should explain what causes a singular matrix as well: floating nodes. This includes current loops as well as voltage nodes. You cannot have two inductors in parallel, with no series resistance on either, because the current between the two is undefined (the total current is set by the circuit, but the current into one and out of the other is a free variable -- you've drawn a superconducting loop, after all!). Likewise, two capacitors in series, with no parallel resistance, leaves an undefined voltage between the two. Simple solution: always add a leakage resistor across an otherwise-insulating component, like a diode, capacitor, transformer, or such (usually a few megs or gigs), or to ground. And where connecting inductors or transformers in parallel, include DCR.
Nonlinear circuits include pretty much anything switching, except for logic sources which are probably implemented differently, partly for convenience and speed, and partly for stability. You can always draw your own with transistors -- but expect to add capacitors (to set how fast the transistors are switching) and to need a very small timestep.
Tim