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Jeffrey Humpherys


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Publications
Refereed Journal Papers:
- *Computing expected transition events in reducible Markov chains.
Submitted, 2008 (with Brian D. Ewald and Jeremy West)
(download source code).
- *Spectral stability of ideal-gas shock layers. Submitted, 2007 (with Gregory Lyng and Kevin Zumbrun).
- *Stability of isentropic viscous shock profiles in the high mach number limit. Submitted, 2007 (with Olivier Lafitte and Kevin Zumbrun).
- *On the shock wave spectrum for isentropic gas dynamics with capillarity. Journal of Differential Equations, to appear 2008.
- *Spectral stability of compressive noncharacteristic boundary layers. Archive for Rational Mechanics and Analysis, to appear 2008 (with Nicola Costanzino, Toan Nguyen, and Kevin Zumbrun).
- *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).
- An efficient shooting algorithm for Evans function calculations in large systems. Physica D. 220(2):116--126, 2006 (with Kevin Zumbrun).
- 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).
- Admissibility of viscous-dispersive systems. Journal of Hyperbolic Differential Equations 2(4):963--974, 2005.
- Stability of Jin-Xin relaxation shocks. Quarterly of Applied Mathematics 61(2):251--263, 2003.
- 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).
- Nonmonotonic twist maps. Physica D. 80(3):256--276, 1995 (with James E. Howard).
Refereed Proceedings and Short Journal Papers:
- * Discrete-event counting in multi-agent Markov processes.
Submitted, 2008 (with Brian D. Ewald and Jeremy West).
- * Option pricing for inventory management and control.
Submitted, 2008 (with Bryant Angelos and McKay Heasley).
- 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).
- *Stability of isentropic Navier--Stokes shocks.
Applied Mathematics Letters 21(7):742--747, 2008 (with Blake Barker, Olivier Lafitte, Keith Rudd, and Kevin Zumbrun).
- 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).
- On the stability of viscous-dispersive fronts.
Hyperbolic Problems: Theory, Numerics and Applications, Vol II., 2004. Proceedings of the 10th International Conference, Yokohama Publishers.
- Comment on "Signature of classical chaos in quantum tunneling". Physical Review E. 51(6):6313--6315, 1995 (with David Farrelly).
- 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).
Non-Refereed Papers and Publications:
- *IDeA Labs: BYU's NSF CSUMS Program. Proceedings of the Conference on Promoting Undergraduate Research in Mathematics, 2006 (with Sean Warnick).
- Spectral energy methods and the stability of shock waves. Ph.D. dissertation, Indiana University, Bloomington, IN, 2002.
* Work supported in part by the National Science Foundation, Grant numbers DMS-0607721 and DMS-0639328.
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