Stable explicit time marching in well-posed or ill-posed nonlinear parabolic equations
Stable explicit time marching in well-posed or ill-posed nonlinear parabolic equations
This paper analyses an effective technique for stabilizing pure explicit time differencing in the numerical computation of multidimensional nonlinear parabolic equations. The method uses easily synthesized linear smoothing operators at each time step to quench the instability. Smoothing operators based on positive real powers of the negative Laplacian are helpful, …