Zobrazeno 1 - 10
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pro vyhledávání: '"Robert Sharpley"'
Autor:
Robert Sharpley, Vesselin Vatchev
Publikováno v:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 464:2265-2280
The intrinsic mode functions (IMFs) arise as basic modes from the application of the empirical mode decomposition (EMD) to functions or signals. In this procedure, instantaneous frequencies are subsequently extracted from the IMFs by the simple appli
Publikováno v:
Numerical Methods for Partial Differential Equations. 22:1267-1288
In this article, we consider a single-phase coupled nonlinear Stefan problem of the water-head and concentration equations with nonlinear source and permeance terms and a Dirichlet boundary condition depending on the free-boundary function. The probl
Autor:
Robert Sharpley, Vesselin Vatchev
Publikováno v:
Constructive Approximation. 24:17-47
The Empirical Mode Decomposition is a process for signals which produces Intrinsic Mode Functions from which instantaneous frequencies may be extracted by simple application of the Hilbert transform. The beauty of this method to generate redundant re
Autor:
Koffi B. Fadimba, Robert Sharpley
Publikováno v:
Nonlinear Analysis: Real World Applications. 5:355-387
We study the numerical approximation of the Saturation Equation which arises in the formulation of two phase fluid flow through porous media, idealized as either a convex bounded polyhedral domain or a domain with smooth boundary. This equation is de
Publikováno v:
Transactions of the American Mathematical Society. 355:2585-2631
In this article algorithms are developed for nonlinear n n -term Courant element approximation of functions in L p L_p ( 0 > p ≤ ∞ 0 > p \le \infty ) on bounded polygonal domains in R 2 \mathbb {R}^2 . Redundant collections of Courant elements, w
Publikováno v:
Sultan Qaboos University Journal for Science, Vol 6, Iss 2, Pp 67-83 (2001)
We develop a finite volume characteristic method for the solution of the advection-diffusion equations which model the contaminant transport through porous medium. This method uses a second order Runge-Kutta approximation for the characteristics with
Publikováno v:
Advances in Water Resources. 22:741-768
We develop two characteristic methods for the solution of the linear advection diffusion equations which use a second order Runge–Kutta approximation of the characteristics within the framework of the Eulerian–Lagrangian localized adjoint method.
Autor:
Robert Sharpley, Shushuang Man, Hong Wang, Magne S. Espedal, Richard E. Ewing, Helge K. Dahle
Publikováno v:
SIAM Journal on Scientific Computing. 20:2160-2194
We develop an Eulerian--Lagrangian localized adjoint method (ELLAM) to solve two-dimensional advection-diffusion equations with all combinations of inflow and outflow Dirichlet, Neumann, and flux boundary conditions. The ELLAM formalism provides a sy
Publikováno v:
Numerical Methods for Partial Differential Equations. 15:1-28
We develop a characteristic-based domain decomposition and space{time local refinement method for firstorder linear hyperbolic equations. The method naturally incorporates various physical and numerical interfaces into its formulation and generates a
Autor:
Richard J. Babarsky, Robert Sharpley
Publikováno v:
Monthly Weather Review. 125:1277-1295
Applying standard explicit time-differencing to hyperbolic equations (i.e., which characterize convection-dominated atmospheric flows) invariably results in rather severe stability restrictions. The primary problem appears to be attributable to the d