### Summary This paper introduces a much faster method of cloth simulation via implicit numerical integration using the conjugate gradient method. It also gives a method for resolving constraints to the simulations. ### Problem Since cloth resists stretching, but largely permits bending, the differential equations governing it are "stiff," making them ill-suited for explicit integration. ### Methods Used * Stepping time forward with implicit integration * The conjugate gradient method to solve the sparse linear system * A new method to enforce constraints where the particle to be constrained's mass is set to infinity and a solution is obtained as normal ### Key Ideas * It's feasible to use implicit integration for cloth simulation * The conjugate gradient method is a good candidate for this type of simulation * A novel method to enforce constraints