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- Christopher W. Curtis, Bernard Deconinck
- Math. Comput.
- 2010

Hill's method is a means to numerically approximate spectra of linear differential operators with periodic coefficients. In this paper, we address different issues related to the convergence of Hill's method. We show the method does not produce any spurious approximations, and that for self-adjoint operators, the method converges in a restricted sense.… (More)

- Christopher W Curtis, David M Bortz
- Physical review. E, Statistical, nonlinear, and…
- 2012

The propagation of fronts in the Fisher-Kolmogorov equation with spatially varying diffusion coefficients is studied. Using coordinate changes, WKB approximations, and multiple scales analysis, we provide an analytic framework that describes propagation of the front up to the minimum of the diffusion coefficient. We also present results showing the behavior… (More)

- Min Chen, Christopher W. Curtis, Bernard Deconinck, Crystal W. Lee, Nghiem Nguyen
- SIAM J. Applied Dynamical Systems
- 2010

We study the spectral (in)stability of one-dimensional solitary and cnoidal waves of various Boussi-nesq systems. These systems model three-dimensional water waves (i.e., the surface is two-dimensional) with or without surface tension. We present the results of numerous computations examining the spectra related to the linear stability problem for both… (More)

and have found that it is complete and satisfactory in all respects, and that any and all revisions required by the final examining committee have been made. This thesis addresses the use of various techniques in functional analysis applied to the problem of determining the spectral stability of a traveling wave solution to a nonlinear partial differential… (More)

- Eldon Dyer, R C Buck, +94 authors Bodo Pareigis
- 2010

A ring primitive on the right but not on the left, 473, 1000. Berkson, A. J. The u-algebra of a restricted Lie algebra is Frobenius, 14. Bialynicki-Birula, A. On the inverse Problem of Galois theory of differential fields, 960. Bojanic, R. and Musielak, J. An inequality for functions with derivatives in an Orlicz Space, 902. Bouwsma, W. D. Zeros of… (More)

- Nathan Jacobson, W. L. Chow, +21 authors C. C. Chevalley
- 2007

The formal program of the Institute consisted of a seminar on simple Lie algebras and the following four series of lectures: Armand Borel, The cohomology of compact connected Lie groups and their coset spaces ; C. C. Chevalley, Cartan subalgebras and Cartan subgroups', Hidehiko Yamabe, Structure of locally compact groups ; Hans Zassenhaus, Representation… (More)

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