Accurate and efficient prediction of benchmark properties is essential to the discovery of
diverse functional materials, but searching vast element combinatorial and bonding …

Non-linear convection-reaction-diffusion (CRD) partial differential equations (PDEs) are
crucial for modeling complex phenomena in fields such as biology, ecology, population …

In this paper, by studying a class of 1-D Sturm-Liouville problems with periodic coefficients,
we show and classify the solutions of periodic Schrödinger equations in a multidimensional …

The mathematical analysis and solution of fractional differential equations are like a bridge
connecting physical assumptions and concepts with interpretations, effects and conclusions …

In this paper, we examine the optimization of Richardson numerical integration of an
arbitrary real valued function in the space of step sizes. Namely, as one of the most efficient …

A new ab-inito method and the related computer code has been developed within this work---
in accordance with its aims---for calculating electronic states and structural properties of …

The Brinkman equations model fluid flow through porous media and are particularly
interesting in regimes where viscous shear effects cannot be neglected. Two model …