We propose an approach for approximating electrostatic charge distributions with a small number of point charges to optimally represent the original charge distribution. By construction, the proposed optimal point charge approximation (OPCA) retains many of the useful properties of point multipole expansion, including the same far-field asymptotic behavior of the approximate potential. A genera...

Lattice Boltzmann (LB) method for atmospheric dynamics is developed by considering the characteristics of anelastic approximation. After introducing reference base state values in flows, an LB model, with external force term, has been constructed framework. In proposed mass and momentum conservation equations are solved a regularization procedure, temperature field or scalar transport simulated...

We study the eigenvalue problem of perturbed Airy operator −4 + (x + V (x)) on positive real axis, with Dirichlet boundary condition. Given the asymptotic expansion of V (x) at +∞, we provide asymptotic expansion of the eigenvalues λn to certain order. Then we will provide an example to show that in general, merely from the asymptotic expansion of V (x), the asymptotic expansion of λn cannot be...