We present a direct solution to the problem of constructing stochastic matrix with prescribed eigenspectrum, widely referred as inverse eigenvalue problem. The uses Markov state disaggregation construct chain associated transition possessing required eigenspectrum. Existing solutions that follow same approach are limited matrices real-valued eigenspectra. novel directly constructs complex-value...

We consider the multidimensional space-fractional diffusion equations with spatially varying diffusivity and fractional order. Significant computational challenges are encountered when solving these due to kernel singularity in integral operator resulting dense discretized operators, which quickly become prohibitively expensive handle because of their memory arithmetic complexities. In this wor...