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Optimal superconvergent one step nodal cubic spline collocation methods
(2006)
We formulate new optimal (fourth) order one step nodal cubic spline collocation methods for the solution of various elliptic boundary value problems in the unit square. These methods are constructed so that the respective ...
A nonoverlapping domain decomposition method for Legendre spectral collocation problems
(2007)
We consider the Dirichlet boundary value problem for Poisson's equation in an L-shaped region or a rectangle with a cross-point. In both cases, we approximate the Dirichlet problem using Legendre spectral collocation, that ...
Analysis of traffic flow with mixed manual and semiautomated vehicles
(2003)
The introduction of semiautomated vehicles designed to operate with manually driven vehicles is a realistic near-term objective. The purpose of this paper is to analyze the effects on traffic-flow characteristics and ...
Evaluation of mixed semi-automated/manual traffic
(IEEE, 1998)
The advance in research and development will make the deployment of automated vehicles a reality in the near future. At the initial stage, semi-automated vehicles with the capability to follow each other automatically in ...
On a monotonic trigonometric sum
(1997)
By establishing a cosine analogue of a result of Askey and Steinig on a monotonic sine sum, this paper sharpens and unifies several results associated with Young's inequality for the partial sums of Σk-1 cos kθ.
On a sequence of higher-order nonlinear diffusion-convection equations
(2019)
Motivated by the existence of the thin film equations, fourth and sixth order, which are generalizations of the diffusion equation, we consider a sequence of higher order nonlinear diffusion-convection equations. We ...