1. *Computing expected transition events in reducible Markov chains. Submitted, 2008 (with Brian D. Ewald and Jeremy West) (download source code).

2. *Stability of isentropic viscous shock profiles in the high mach number limit. Submitted, 2007 (with Olivier Lafitte and Kevin Zumbrun).

3. *Spectral stability of ideal-gas shock layers. Archive for Rational Mechanics and Analysis, to appear 2008 (with Gregory Lyng and Kevin Zumbrun).

4. *On the shock wave spectrum for isentropic gas dynamics with capillarity. Journal of Differential Equations, to appear 2008.

5. *Spectral stability of compressive noncharacteristic boundary layers. Archive for Rational Mechanics and Analysis, to appear 2008 (with Nicola Costanzino, Toan Nguyen, and Kevin Zumbrun).

6. *Stability of viscous shocks in isentropic gas dynamics. Communications in Mathematical Physics 281(1):231--249, 2008 (with Blake Barker, Keith Rudd, and Kevin Zumbrun).

7. An efficient shooting algorithm for Evans function calculations in large systems. Physica D. 220(2):116--126, 2006 (with Kevin Zumbrun).

8. Efficient computation of analytic bases in Evans function analysis of large systems. Numerische Mathematik 103(4):631--642, 2006 (with Björn Sandstede and Kevin Zumbrun).

9. Admissibility of viscous-dispersive systems. Journal of Hyperbolic Differential Equations 2(4):963--974, 2005.

10. Stability of Jin-Xin relaxation shocks. Quarterly of Applied Mathematics 61(2):251--263, 2003.

11. Spectral stability of small-amplitude shock profiles for dissipative symmetric hyperbolic-parabolic systems. Zeitschrift für angewandte Mathematik und Physik (ZAMP) 53(1):20--34, 2002 (with Kevin Zumbrun).

12. Nonmonotonic twist maps. Physica D. 80(3):256--276, 1995 (with James E. Howard).

13. *Discrete-event counting in multi-agent Markov processes. Preprint, 2008 (with Brian D. Ewald and Jeremy West).

14. *Option pricing for inventory management and control. Preprint, 2008 (with Bryant Angelos and McKay Heasley).

15. A dynamic workflow framework for mass customization using web service and autonomous agent techniques. Journal of Intelligent Manufacturing, to appear 2008 (with Daniel Karpowitz, Jordan Cox, and Sean Warnick).

16. *Stability of isentropic Navier--Stokes shocks. Applied Mathematics Letters 21(7):742--747, 2008 (with Blake Barker, Olivier Lafitte, Keith Rudd, and Kevin Zumbrun).

17. Competition dynamics in a virtual fund management system. Proceedings of the 2007 American Controls Conference, New York City, NY, July 2007 (with Casey Dougal, David Merriman, Sean Warnick).

18. On the stability of viscous-dispersive fronts. Hyperbolic Problems: Theory, Numerics and Applications, Vol II., 2004. Proceedings of the 10th International Conference, Yokohama Publishers.

19. Comment on "Signature of classical chaos in quantum tunneling". Physical Review E. 51(6):6313--6315, 1995 (with David Farrelly).

20. Normalization of resonant Hamiltonians. Hamiltonian mechanics (Toru\'n, 1993), 237--244, NATO Advanced Science Institutes Series B: Physics, 331, Plenum, New York, 1994 (with David Farrelly and T. Uzer).

21. *IDeA Labs: BYU's NSF CSUMS Program. Proceedings of the Conference on Promoting Undergraduate Research in Mathematics, 2006 (with Sean Warnick).

22. Spectral energy methods and the stability of shock waves. Ph.D. dissertation, Indiana University, Bloomington, IN, 2002.

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* Work supported in part by the National Science Foundation, Grant numbers DMS-0607721 and DMS-0639328.