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- Yves Tourigny, M. J. Baines
- Math. Comput.
- 1997

This paper discusses the problem of constructing a locally optimal mesh for the best L2 approximation of a given function by discontinuous piecewise polynomials. In the one-dimensional case, it is shown that, under certain assumptions on the approximated function, Baines’ algorithm [M. J. Baines, Math. Comp., 62 (1994), pp. 645-669] for piecewise linear or… (More)

- Robert Ladouceur, Marie Hélène Mayrand, Yves Tourigny
- Journal of gambling behavior
- 2005

Most comparisons between personality traits of gamblers and non-gamblers have yielded no significant differences (Kusyszyn & Rutter, 1985). But from a behavioral standpoint, gamblers have consistently placed heavier monetary bets than non-gamblers. Furthermore, past researchers have clearly shown that the level of risk-taking behavior increased as a… (More)

- Yves Tourigny
- J. Sci. Comput.
- 2005

- Philip G. Drazin, Yves Tourigny
- SIAM Journal of Applied Mathematics
- 1996

We consider the problem of estimating numerically the parameters of singularities of solutions of differential equations. We propose a novel approach which is based on discretizing the governing equation and "timestepping" in the complex domain. Some applications to ordinary and partial differential equations are discussed.

- Yves Tourigny, Nigel P. Smart
- Math. Comput.
- 2007

The paper describes and studies an iterative algorithm for finding small values of a set of linear forms over vectors of integers. The algorithm uses a linear recurrence relation to generate a vector sequence, the basic idea being to choose the integral coefficients in the recurrence relation in such a way that the linear forms take small values, subject to… (More)

It is well-known that the excursions of a one-dimensional diffusion process can be studied by considering a certain Riccati equation associated with the process. We show that, in many cases of interest, the Riccati equation can be solved in terms of an infinite continued fraction. We examine the probabilistic significance of the expansion. To illustrate our… (More)

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