P-stable high-order super-implicit and Obrechkoff methods for periodic initial value problems
MetadataShow full item record
This paper discusses the numerical solution of periodic initial value problems. Two classes of methods are discussed, superimplicit and Obrechkoff. The advantage of Obrechkoff methods is that they are high-order one-step methods and thus will not require additional starting values. On the other hand they will require higher derivatives of the right-hand side. In cases when the right-hand side is very complex, we may prefer super-implicit methods. We develop a super-implicit P-stable method of order 12 and Obrechkoff method of order 18.
The article of record as published may be found at http://dx.doi.org/10.1016/j.camwa.2005.11.041
Showing items related by title, author, creator and subject.
Arnason, G.; Haltiner, G.J.; Frawley, M.J. (1962-05);Two iterative methods are described for obtaining horizontal winds from the pressure-height field by means of higher-order geostrophic approximations for the purpose of improving upon the geostrophic wind. The convergence ...
Exponential leap-forward gradient scheme for determining the isothermal layer depth from profile data Chu, P.C.; Fan, C.W. (Springer, 2017);Two distinct layers usually exist in the upper ocean. The rst has a near-zero vertical gradient in temperature (or density) from the surface and is called the iso-thermal layer (or mixed layer). Beneath that is a layer ...
Kelly, J.F.; Giraldo, Francis X.; Constantinescu, E.M. (2013);We derive an implicit-explicit (IMEX) formalism for the three-dimensional Euler equations that allow a unified representation of various nonhydrostatic flow regimes, including cloud-resolving and mesoscale (flow in a 3D ...