In many problems, one wishes to solve the Helmholtz equation in cylindrical or spherical coordinates which introduces variable coefficients within the differentiated terms. Fourth ...
This paper introduces a new sweeping preconditioner for the iterative solution of the variable coefficient Helmholtz equation in two and three dimensions. The algorithms follow th...
Magnetic resonance imaging (MRI) allows numerous Fourier domain sampling schemes such as Cartesian and non-Cartesian trajectories (e.g. Polar, circular, and spherical). On the oth...
Many applications of Mathematical Physics and Engineering are connected with the Laplacian, however, the most part of BVP relevant to the Laplacian are solved in explicit form onl...