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MCS
2006
Springer
14 years 9 months ago
Criteria for mixed grids in computational fluid dynamics
The finite volume method is used as a numerical method for solving the fluid flow equations. This method is appropriate to employ under structured and unstructured meshes. Mixed g...
Erwin Doescher, Haroldo F. de Campos Velho, Fernan...
MCS
2006
Springer
14 years 9 months ago
Three-phase immiscible displacement in heterogeneous petroleum reservoirs
We describe a fractional-step numerical procedure for the simulation of immiscible three-phase flow in heterogeneous porous media that takes into account capillary pressure and ap...
Eduardo Abreu, J. Douglas, Frederico Furtado, D. M...
MCS
2007
Springer
14 years 9 months ago
Nonlinearity from linearity: The Ermakov-Pinney equation revisited
In this short note, we revisit the so-called Ermakov–Pinney (EP) equation viewing its properties from a physically motivated perspective. We discuss its ties with the Schr¨odin...
Panayotis G. Kevrekidis, Yannis Drossinos
MCS
2007
Springer
14 years 9 months ago
Continuous and discrete homotopy operators: A theoretical approach made concrete
Using standard calculus, explicit formulas for the one-dimensional continuous and discrete homotopy operators are derived. It is shown that these formulas are equivalent to those ...
W. Hereman, Bernard Deconinck, L. D. Poole
MCS
2007
Springer
14 years 9 months ago
Delay-dependent stability analysis for uncertain neutral systems with time-varying delays
This paper investigates the stability of neutral delay-differential systems with mixed multiple time-varying delay arguments. Based on the Lyapunov functional method, and the rela...
Xin-Ge Liu, Min Wu, Ralph Martin, Mei-Lan Tang