SIAM Journal on Numerical Analysis, Vol. 51, No. 4 (2013), pp. 2470-2490 (21 pages) The primary aim of this paper is to answer the question, What are the highest-order five-or nine-point compact ...
An explicit multi-conservation finite-difference scheme for solving the spherical shallowwater-wave equation set of barotropic atmosphere has been proposed. The numerical scheme is based on a special ...