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In this paper we consider a class of difference approximations to the Dirichlet problem for second-order quasi-linear elliptic operators with mixed derivative terms. The main result is that for this class of discretizations and bounded g (the right-hand side) a solution to the difference equations exists. We also explicitly exhibit a discretization of this… (More)
The total braking time (TBT) distribution is used as an input to two important traffic safety parameters: minimum following gap and stopping sight distance. It is therefore important to accurately estimate the TBT distribution. However, the previously published results on TBT distribution vary widely and confuse practitioners. In this paper, a meta-analysis… (More)
This paper develops fourth order discretizations to the two-point boundary value problem y(2kt)=f(t,y(t),y(1\t)), ^o^0) "o^(1)(°) = 60' al ?W + "l^1^1) = 5 1These discretizations have the desirable properties that they are tridiagonal and of "positive type".