This paper analyzes an effective technique for stabilizing pure explicit time dif­ ferencing in the numerical computation of multidimensional nonlinear parabolic equations. The method uses easily synthesized linear smoothing operators at each time step to quench the instabil­ ity. Smoothing operators based on positive real powers of the negative Laplacian are helpful, and (−Δ)p can be realized ...

This literature review explores the challenges encountered by general managers in 21st century. As organizations navigate a rapidly changing global landscape, find themselves facing multitude of complex and interrelated challenges. synthesizes existing to identify common themes areas concern for managers, encompassing technological advancements, globalization, shifting consumer expectations, ta...

All finite element methods, as well much of the Hilbert-space theory for partial differential equations, rely on variational formulations, that is, problems type: find u?V such a(v,u)=l(v) each v?L, where V,L are Sobolev spaces. However, systems Friedrichs type, there is a sharp disparity between established well-posedness theories, which not variational, and very successful discontinuous Galer...