A computationally efficient numerical method for the solution of nonli
near sea ice dynamics models employing viscous-plastic rheologies is p
resented. The method is based on a semi-implicit decoupling of the x a
nd y ice momentum equations into a form having better convergence prop
erties than the coupled equations. While this decoupled form also spee
ds up solutions employing point relaxation methods, a line successive
overrelaxation technique combined with a tridiagonal matrix solver pro
cedure was found to converge particularly rapidly. The procedure is al
so applicable to the ice dynamics equations in orthogonal curvilinear
coordinates which are given in explicit form for the special case of s
pherical coordinates.