Current Classes (Winter 2015)
Wave-energy extraction course
(with spring break in Chile)
I hope to teach this course again in the winter of 2016. Please
e-mail me at email@example.com if you
might be interested.
and the fractional KdV equation,"
SIAM Conference on Nonlinear Waves and Coherent Structures,
in shallow water,"
Nonlinear Waves in Fluids, September 2012.
and stability of solutions to the Serre system," Western Sectional Meeting
of the AMS, October 2011.
theory of water waves," University
of Puget Sound Mathematics Seminar, October 2010.
of plane-wave solutions to a dissipative generalization of the
nonlinear Schrodinger equation," SIAM Conference on Nonlinear
Waves and Coherent Structures, July 2008.
can mathematics help us understand tsunamis, rogue waves and other
wave phenomena?," (animations disabled) Seattle University,
- J.D. Carter, D. Helliwell, A. Henrich, M. Principe,
J.M. Sloughter, Improving student success in calculus at Seattle
University. Submitted to PRIMUS, 2014.
- D. Mitsotakis, D. Dutykh, and J.D. Carter. On the
nonlinear dynamics of the traveling-wave solutions of the Serre
equations. Submitted to Nonlinearity, 2014. .pdf
- N. Sanford, K. Kodama, J.D. Carter, and H. Kalisch.
Stability of traveling wave solutions to the Whitham equation.
Physics Letters A, 378 : 2100-2107, 2014. .pdf
- J.D. Carter. Plane wave solutions of a dissipative
generalization of the vector nonlinear Schrodinger equation.
Mathematics and Computers in Simulation, 82: 1038-1046,
- J.D. Carter. A Review of Mathematica: A
Problem-Centered Approach. SIAM Review, 53:
- J.D. Carter and R. Cienfuegos. The kinematics and
stability of solitary and cnoidal wave solutions of the Serre
equations. European Journal of Mechanics B: Fluids, 30:
- D.M. Henderson, H. Segur and J.D. Carter. Experimental
evidence of stable wave patterns on deep water. Journal of Fluid
Mechanics, 658, 247-278, 2010.
- J.D. Carter and C.C. Contreras. Stability of
plane-wave solutions of a dissipative generalization of the nonlinear
Schrodinger equation. Physica D, 237: 3292-3296, 2008.
- J.D. Carter. A Review of Maple and Mathematica: A
Problem Solving Approach. .pdf
- J.D. Carter. A Review of Mathematica 6.
SIAM Review, 50: 149-152, 2008. .pdf
- B. Deconinck, F. Kiyak and J.D. Carter. SpectrUW version
2.0, April 2007.
- N. Canney and J.D. Carter. Stability of plane waves on deep water
with dissipation. Mathematics and Computers in Simulation,
74: 159-167, 2007.
- B. Deconinck, F. Kiyak, J.D. Carter and J.N. Kutz. SpectrUW: a
laboratory for the numerical exploration of spectra of linear
operators.Mathematics and Computers in Simulation, 74:
- J.D. Carter and B. Deconinck. Instabilities of one-dimensional
trivial-phase solutions of the two-dimensional cubic nonlinear
Schrodinger equation. Physica D, 214: 42-54,
- B. Deconinck, D.E. Pelinovsky and J.D. Carter. Transverse
instabilities of deep-water solitary waves. Proceedings of the
Royal Society A, 462: 2039-2061, 2006.
- R.J. Thelwell, J.D. Carter and B. Deconinck. Instabilities of
one-dimensional stationary solutions of the cubic nonlinear
Schrodinger equation. Journal of Physics A: Mathematical and
General, 39: 73-84, 2006.
- H. Segur, D. Henderson, J.D. Carter, J. Hammack, C. Li, D. Pheiff
and K. Socha. Stabilizing the Benjamin-Feir instability. Journal
of Fluid Mechanics, 539: 229-271, 2005. .pdf
- J.D. Carter. A Review of Mathematica 5.0.
SIAM Review, 46: 564-568, 2004. .pdf
- J.D. Carter and H. Segur. Instabilities in the two-dimensional
cubic nonlinear Schrodinger equation. Physical Review E,
68: 045601, 2003.
- J.D. Carter (Ph.D. thesis). Stability and existence of traveling-wave
solutions of the two-dimensional nonlinear Schrodinger equation and
its higher-order generalizations. University of Colorado at Boulder,
Albums Everyone Should Own
- AC-DC -- Who Made Who
- Agalloch -- The Mantle
- Amorphis -- Tales From the Thousand Lakes
- Anathema -- The Silent Enigma
- At the Gates -- Slaughter of the Soul
- Black Sabbath -- Black Sabbath
- Bongzilla -- Gateway
- Burzum -- Hvis Lyset Tor Oss
- Carcass -- Swansong
- Danzig -- III: How the Gods Kill
- Death -- Human
- Drudkh -- Krov U Nashykh Krynytsyakh
- Eleven -- Thunk
- Emperor -- In the Nightside Eclipse
- Forgotten Tomb -- Negative Megalomania
- Immortal -- Battles in the North
- Keen of the Crow -- Hyborea
- King Diamond -- Abigail
- Kyuss -- Blues for the Red Sun
- Life of Agony -- River Runs Red
- Mayhem -- Grand Declaration of War
- Mercyful Fate -- Melissa
- Mindrot -- Soul
- Neurosis -- A Sun That Never Sets
- Nile -- Annihilation of the Wicked
- Opeth -- My Arms, Your Hearse
- Prong -- Rude Awakening
- Rollins Band -- The End of Silence
- Samael -- Ceremony of Opposites
- Savatage -- Streets: A Rock Opera
- Slayer -- South of Heaven
- Sleep -- Dopesmoker
- Spirit Caravan -- Jug Fulla Sun
- Suicidal Tendencies -- Suicidal Tendencies
- Trouble -- Trouble
- Type O Negative -- Bloody Kisses
- W.A.S.P. -- K.F.D.
- Xasthur -- To Violate the Oblivious
Links of Personal Interest
WA river levels