For citation statistics, please see my Google Citations Profile.

- D.E. Baldwin,
*Sous Vide for the Home Cook*. Paradox Press LLC, 12 April 2010. ISBN: 978-0-9844936-0-9. Errata. Available from Amazon.com, Amazon.co.uk, and the SousVide Supreme site.

- M.J. Ablowitz and D.E. Baldwin, Dispersive shock wave interactions and asymptotics. (APS)
*Physical Review E*, vol. 87(2), pp. 022906 (2013). - M.J. Ablowitz and D.E. Baldwin, Interactions and asymptotics of dispersive shock waves — Korteweg–de Vries equation. (DOI) (ArXiv)
*Physics Letters A*, vol. 377, pp. 555–559 (2013). - M.J. Ablowitz and D.E. Baldwin, Nonlinear shallow ocean-wave soliton interactions on flat beaches (APS) (ArXiv),
*Physical Review E*, vol. 86(3), pp. 036305 (2012). Synopsis on APS's Physics. Physics Today. SIAM News. News coverage: New Scientist, Bulletin of the American Meteorological Society (Jan. 2013, News), Our Amazing Planet, CU Press Release. Erratum: There is a typo in equation (3), change \(\frac{\partial^2 F_N}{\partial x^2}\) to \(\frac{\partial^2 \log F_N}{\partial x^2}\). - D.E. Baldwin. Sous vide cooking: A review (DOI) (PDF),
*International Journal of Gastronomy and Food Science*, vol. 1(1), pp. 15–30 (2012). - D.E. Baldwin and W. Hereman,
A symbolic algorithm for computing recursion operators of nonlinear partial differential equations
(DOI)
(ArXiv),
*International Journal of Computer Mathematics*, vol. 87(5), pp. 1094–119 (2010). - M.J. Ablowitz, D.E. Baldwin, and M.A. Hoefer,
Soliton generation and multiple phases in dispersive shock and rarefaction wave interaction (APS)
(ArXiv),
*Physical Review E*, vol. 80(1), pp. 016603 (2009). - D.E. Baldwin and W. Hereman,
Symbolic software for the Painlevé test
of nonlinear ordinary and partial differential equations
(DOI) (ArXiv),
*Journal of Nonlinear Mathematical Physics*, vol. 13(1), pp. 90–110 (2006). - D.E. Baldwin, Ü. Göktas, W. Hereman,
Symbolic computation of hyperbolic tangent
solutions for nonlinear differential-difference equations (DOI) (ArXiv),
*Computer Physics Communications*, vol. 162(3), pp. 203–17 (2004). - D.E. Baldwin, Ü. Göktas, W. Hereman, L. Hong, R.S. Martino, and J.C. Miller,
Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs (DOI) (ArXiv),
*Journal of Symbolic Computation*, vol. 37, pp. 669–705 (2004).

- D.E. Baldwin,
*Cooking Sous Vide*in “Cooking Sous Vide” by Heiko Antoniewicz, Matthaes Verlag, ISBN: 978-3-87515-067-4, (July 2012). - D.E. Baldwin,
*Sous-vide*in “Sous-vide” (in German) by Heiko Antoniewicz, Matthaes Verlag, ISBN: 978-3875150544, (Mar 2011). - D.E. Baldwin,
*Interview with Douglas Baldwin on Sous Vide*in “Cooking for Geeks” by Jeff Potter, O’Reilly, ISBN: 978-0-596-80588-3, (July 2010).

- D.E. Baldwin, W. Hereman, and J. Sayers,
Symbolic algorithms for the Painlevé test,
special solutions, and recursion operators for nonlinear PDEs (ArXiv),
*CRM Proceedings and Lecture Series*, vol. 39, Eds.: P. Winternitz and D. Gomez-Ullate, American Mathematical Society, Providence, Rhode Island, pp. 17-32 (2004).

- M.J. Ablowitz and D.E. Baldwin. Nonlinear ocean-wave interactions on flat beaches.
*SIAM News*(PDF), vol. 46(5), June 2013.

- D.E. Baldwin,
*Dispersive shock wave interactions and two-dimensional ocean-wave soliton interactions*(PDF), University of Colorado, Boulder, CO, USA. Defended on April 11, 2013. - D.E. Baldwin,
*Symbolic algorithms and software for the Painlevé test and recursion operators for nonlinear partial differential equations*(PDF), Colorado School of Mines, Golden, Colorado, USA. Defended on March 24, 2004.

- D.E. Baldwin and E. Corson. Accessibility and Universal Design. At the
*Web Workshop*, University of Colorado, Boulder, Colorado, USA, March 11, 2014. - D.E. Baldwin. Dispersive shock waves and shallow ocean-wave line-soliton interactions. For the
*Differential Equations Seminar*, North Carolina State University, Raleigh, North Carolina, USA, February 26, 2014. - D.E. Baldwin. Giving Thanks to the Water Bath: Sous Vide Cooking for the Holidays. American Chemical Society Webinar moderated by Sara Risch, November 21, 2013. Live screen-cast and Q&A with 460 attendees. Slides (PDF 3.9MB) and transcript (PDF).
- D.E. Baldwin. Dispersive shock waves interactions and asymptotics. For the
*Math Colloquium Series*, University of Colorado at Colorado Springs, Colorado Springs, Colorado, USA, October 31, 2013. - D.E. Baldwin. Sous vide cooking and chemistry. American Chemical Society Webinar moderated by Sara Risch, May 9, 2013. Live screen-cast and Q&A with 541 attendees. Slides (PDF) and transcript (PDF).
- D.E. Baldwin. Dispersive shock waves interactions and asymptotics. At the
*AMS Spring Western Sectional Meeting*, University of Colorado, Boulder, Colorado, USA, April 13–14, 2013. - D.E. Baldwin. Dispersive shock waves interactions and asymptotics. At
*The Eighth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory*, University of Georgia, Athens, Georgia, USA, March 25–28, 2013. - D.E. Baldwin. Nonlinear shallow ocean wave soliton interactions on flat beaches. For the
*Applied Mathematics and Statistics Colloquium*, Colorado School of Mines, Golden, Colorado, USA, January 18, 2013. - D.E. Baldwin. Interactions and asymptotics of dispersive shock waves. At the
*SIAM Conference on Nonlinear Waves and Coherent Structures*, University of Washington, Seattle, Washington, USA, June 13, 2012. - H. Antoniewicz and D.E. Baldwin. Wenn Wissenschaft kreativ macht: sous vide, flavor pairings, and cryo-methods. At
*Chef-Sache Alps*, Zürich, Switzerland, June 10, 2012. Joint talk to about 600 chefs. - D.E. Baldwin.
*Mathematica*software for the Painlevé test, special solutions, and recursion operators of nonlinear PDEs. At the*Workshop on Group Theory and Numerical Analysis*, Centre de Recherches Mathématiques, Université de Montréal, Montréal, Québec, Canada, May 30, 2003.

I’ve been using *Mathematica* since February 1994 and I’m an expert at writing efficient and elegant *Mathematica* code.
You might find this short handout for doing applied mathematics in *Mathematica* helpful.

The below packages were tested up through *Mathematica* version 7.
*They may not work correctly in version 8 or higher.*

Our Painlevé test software, PainleveTest.m,
performs the standard Painlevé test on systems of nonlinear
polynomial ordinary and partial differential equations (ODEs and PDEs).
For more information, see our paper
*Symbolic software for the
Painlevé test of nonlinear ordinary and partial
differential equations*.

Package: PainleveTestV2.m

Notebook: PainleveTestV2.nb

Older Versions: PainleveTest.m;
PainleveTests.nb

Our software searches for solitary wave solutions expressible in hyperbolic and elliptic functions.

The software, PDESpecialSolutions.m,
allows for the computation of solutions expressible in hyperbolic tangent, hyperbolic secant, and
Jacobi ellitpic functions.
For more information, see our paper
*Symbolic computation of exact solutions expressible
in hyperbolic and elliptic functions for nonlinear PDEs*.

Package: PDESpecialSolutionsV3.m

Notebook:
PDESpecialSolutionsV3--Documentation--Examples-in-Paper.nb;
PDESpecialSolutionsV3--Documentation--Additional-Examples.nb;
PDESpecialSolutionsV3--Documentation--More-Examples.nb; and
PDESpecialSolutionsV3--Documentation--Extra-Examples.nb;

Older Versions (V2):
PDESpecialSolutionsV2.m and
PDESpecialSolutions--Documentation.nb

Older Versions (V1):
PDESpecialSolutions.m;
PDESpecialSolutions--Documentation.nb;
PDESpecialSolutions--Examples.nb ; and,
PDESpecialSolutions--More--Examples.nb

The software, DDESpecialSolutions.m,
allows for the computation of solutions expressible in hyperbolic tangent functions.
For more information, see our paper
*Symbolic computation of hyperbolic tangent solutions
for nonlinear differential-difference equations*.

Package: DDESpecialSolutionsV3.m

Notebook:
DDESpecialSolutionsV3--Documentation.nb

Older Versions (V2):
DDESpecialSolutionsV2.m and
DDESpecialSolutions--Documentation.nb

Older Versions (V1):
DDESpecialSolutions.m;
DDESpecialSolutions--Documentation.nb; and,
DDESpecialSolutions--Examples.nb

The software, PDERecursionOperator.m,
generates a candidate recursion operator and tests it using the defining equation (Lie derivative).
For more information, see our paper
*Symbolic algorithms for the Painlevé test,
special solutions, and recursion operators for nonlinear PDEs*.

Package: RecursionOperator.m and
InvariantsSymmetries.m (by Ü. Göktas is required)

Notebook:
RecursionOperator--Documentation.nb