Contact Information

Department of Mathematical Sciences

University of Delaware

Newark, DE 19716

Voice: (302) 831-1869, Fax: (302) 831-4511

Email: braun@math.udel.edu

Web: http://www.math.udel.edu/~braun

Education

Department of Engineering Sciences and Applied Mathematics

Northwestern University, Evanston, IL

Ph.D. in Applied Mathematics, 1991

Advisor: Professor S.H. Davis

Department of Mechanical Engineering

Santa Clara University, Santa Clara, CA

M.S. in Mechanical Engineering, 1987

B.S. in Mechanical Engineering, 1983

Experience

Department of Mathematical Sciences

University of Delaware, Newark, DE

Professor, 2004-

Associate Professor, 1999-2004.

Assistant Professor, 1995-1999.

Mathematical and Computational Sciences Division

National Institute of Standards and Technology, Gaithersburg, MD

Guest Researcher, 2007-2011.

Faculty Appointee, 1996-2001, 2001-2006.

Research Mathematician, 1993-1995.

National Research Council Postdoctoral Fellow, 1991-1993.

Advisor: Dr. G.B. McFadden

Institute for Mathematics and Its Applications

University of Minnesota, Minneapolis, MN

Long term visitor, 9/2009-12/2009.

Faculty of Mathematical Studies

University of Southampton, Southampton, UK

EPSRC Visiting Fellow, 1/2002-8/2002.

Hewlett Packard Company, Santa Clara, CA

Manufacturing Engineer and Development Engineer, 1984-1987.

Department of Mechanical Engineering

Santa Clara University, Santa Clara, CA

Teaching Assistant, 1983-1984.

Editorial Positions

Mathematics-in-Industry Case Studies, Editorial Board, 2007-now.

SIAM Journal on Applied Mathematics, Associate Editor, 2009-now.

Journal of Engineering Mathematics, Executive Associate Editor, 2011-now.

Research Interests

My research interests include the theory of phase change and fluid dynamics with free boundaries and the dynamics of the tear film on the ocular surface. The mathematical aspects include nonlinear ordinary and partial differential equations, differential algebraic equations, asymptotic and perturbation methods, and scientific computing.

Publications

1. "A Model for the Human Tear Film with Heating from Within the Eye," Longfei Li and R.J. Braun, Phys. Fluids 24, (2012) 062103.
2. "Dynamics of the Tear Film," R.J. Braun, Annu. Rev. Fluid Mech. 44, (2012) 267-297.
3. "High resolution microscopy of the lipid layer of the tear film," P.E. King-Smith, J.J. Nichols, R.J. Braun, K.K. Nichols, The Ocular Surface 9(4), (2011) 197-211.
4. "Continuum Models for the Spread of Alcohol Abuse," D.A. French, Z. Teymuroglu, T.J. Lewis and R.J. Braun, J. Int. Eqns. Appl., 22 (2010) 443-464.
5. "Thin Film Dynamics on a Prolate Spheroid with Application to the Cornea," R.J. Braun, R. Usha, G.B. McFadden, T.A. Driscoll, L.P. Cook and P.E. King-Smith, J. Engrg. Maths., 73 (2012) 121-138.
6. "Tear Film Dynamics on an Eye-shaped Domain II. Flux Boundary Conditions," K.L. Maki, R.J. Braun, P. Ucciferro, W.D. Henshaw and P.E. King-Smith, J Fluid Mech 647 (2010) 361-390.
7. "Tear Film Dynamics on an Eye-shaped Domain I. Pressure Boundary Conditions," K.L. Maki, R.J. Braun, W.D. Henshaw and P.E. King-Smith, Math Med Biol 27, (2010) 227-254.
8. "A Model for Wetting and Evaporation of a Post-blink Precorneal Tear Film," K.N. Winter, D.M. Anderson and R.J. Braun, Math Med Biol 27, (2010) 211-225.
9. "The Contribution of Lipid Layer Movement to Tear Film Thinning and Breakup," P.E. King-Smith, B.A. Fink, J.J. Nichols, K.K. Nichols, R.J. Braun and G.B. McFadden, Invest. Ophthalmol. Vis. Sci., 50, (2009) 2747-2756.
10. "An Overset Grid Method for the Study of Reflex Tearing," K.L. Maki, R.J. Braun, T.A. Driscoll, and P.E. King-Smith, Math. Med. Biol. 25, (2008) 187-214.
11. "Contributions of Evaporation and Other Mechanisms to Tear Film Thinning and Breakup: A Review," P. Ewen King-Smith, Jason J. Nichols, Kelly K. Nichols, Barbara A. Fink and Richard J. Braun, Optom. Vision Sci. 85(8), (2008) 623-630.
12. "Single-Equation Models for the Tear Film in a Blink Cycle: Realistic Lid Motion," A. Heryudono, R.J. Braun, T.A. Driscoll, L.P. Cook, K. Maki and P.E. King-Smith, Math. Med. Biol. 24, (2007) 347-377.
13. "Model Problems for the Tear Film in a Blink Cycle: Single Equation Models," R.J. Braun and P.E. King-Smith, J. Fluid Mech. 586, (2007) 465-490.
14. "Models for Human Tear Film Dynamics," R.J. Braun, in Wave Dynamics and Thin Film Flow Systems, R. Usha, A. Sharma and B.S. Dandapat, eds., (Narosa, Chennai, India, 2006) pp. 404-434.
15. "Application of Small-World Network Theory into Alcohol Epidemiology," R.J. Braun, R.A. Wilson, R.A. Buchanan, J.A. Pelesko, and J.A. Gleeson, J. Studies on Alcohol 67 (2006) 591-599.
16. "Numerical Simulation of Liquid Phase Electro-Epitaxial Selective Area Growth," M. Khenner and R.J. Braun," J. Crystal Growth 279, (2005) 213-228.
17. "Modelling Drainage of the Precorneal Tear Film After a Blink," R.J. Braun and A.D. Fitt, Mathematical Medicine and Biology 20, (2003) 1-28.
18. "A1-L1_0 Phase Boundaries and Anisotropy via Multiple-Order-Parameter Theory for an fcc Alloy," G.B. Tanoglu, R.J. Braun, J.W. Cahn and G.B. McFadden, Interfaces and Free Boundaries 5(3), (2003) 275-299.
19. "A 2+1 Dimensional Insoluble Surfactant Model for Vertical Draining Free Film," S. Naire, R.J. Braun and S.A. Snow, J. Comp. Appl. Math 166, (2004) 385-410.
20. "A Model for Anisotropic Epitaxial Lateral Overgrowth," M. Khenner, R.J. Braun and M.G. Mauk, J. Crystal Growth 241, (2002) 330-346.
21. "An Isotropic Model for Crystal Growth from Vapor on a Patterned Substrate," M. Khenner, R.J. Braun and M.G. Mauk, J. Crystal Growth, 235 (2002) 425-438.
22. "Models for Gravitationally-Driven Free Film Drainage," R.J. Braun, S.A. Snow, and S. Naire, J. Engrg. Math. 43, (2002) 281-314.
23. "Gravitationally-Driven Drainage of a Bounded Vertical Film with an Insoluble Surfactant," A.H. Heidari, R.J. Braun, A.H. Hirsa, S.A. Snow and S. Naire, J. Colloid Interface Sci 253, (2002) 295--307.
24. "Model Phase Diagrams for an fcc Alloy," R.J. Braun, J. Zhang, J.W. Cahn, G.B. McFadden and A.A. Wheeler, Proceedings of Interfaces for the Twenty-First Century, (Imperial College Press, London, 2002), pp. 213-230.
25. "An Insoluble Surfactant Model for a Vertical Draining Free Film with Variable Surface Viscosity," S. Naire, R.J. Braun, and S.A. Snow, Physics of Fluids 13, (2001) 2492-2502.
26. "An Insoluble Surfactant Model for a Vertical Draining Free Film," S. Naire, R.J. Braun, and S.A. Snow, J. Colloid Interface Sci., 230 (2000) 91-106.
27. "Modelling the Stabilising Behaviour of Silicone Surfactants During the Processing of Polyurethane Foam: The Use of Thin Liquid Films," Steven A. Snow, Udo C. Pernisz, Benjamin M. Nugent, Robert E. Stevens, Richard J. Braun and Shailesh Naire, in Advances in Urethane Science and Technology, ed. by D. Klempner and K.C. Frisch (Rapra Technology Ltd., Shawsbury, UK, 2001) pp. 213-260 (book chapter).
28. "Limiting Cases of Gravitational Drainage of a Vertical Free Film for Evaluating Surfactants," S. Naire, R.J. Braun, and S.A. Snow, SIAM J. Appl. Math., 61 (2000) 889-913.
29. "A Perspective on Phase-Field Models of Solidification," R.J. Braun, American Association for Crystal Growth Newsletter, Winter, 1999 (solicited review article).
30. "Gravitational Drainage of a Tangentially Immobile Thick Film," R.J. Braun, S.A. Snow and U.C. Pernisz, J. Colloid Interface Sci. 219 (1999) 225-240.
31. "Perturbation Analysis of a Problem of Carrier," A.D. MacGillivray, R.J. Braun and G.B. Tanoglu, Stud. Appl. Math., 104 (2000) 293-311.
32. "Adaptive Finite-Difference Computations of Dendritic Growth Using a Phase-Field Model," R.J. Braun, B.T. Murray and J. Soto, Model. Sim. Mat. Sci. Eng. 5 (1997) 365-380.
33. "Adaptive Phase-Field Computations of Dendritic Crystal Growth," R.J. Braun and B.T. Murray, J. Crystal Growth 177 (1997) 41-53.
34. "Anisotropic Equilibrium and Growth Shapes in a Multiple-Order-Parameter Model of an fcc Alloy," R.J. Braun, J.W. Cahn, G.B. McFadden, H.E. Rushmeier and A.A. Wheeler, Acta mater. 46 (1997) 1-12.
35. "Anisotropy of Interfaces in an Ordered Alloy: A Multiple-Order-Parameter Model," R.J. Braun, J.W. Cahn, G.B. McFadden, and A.A. Wheeler, Trans. Roy. Soc. London A 355 (1997) 1787-1833.
36. "Anisotropic Interfaces and Ordering in fcc Alloys: A Multiple-Order-Parameter Continuum Theory," R.J. Braun, J.W. Cahn, J. Hagedorn, G.B. McFadden and A.A. Wheeler, Mathematics of Microstructure Evolution, ed. L-Q. Chen et al., (TMS/SIAM, Philadelphia, 1996) 225-244.
37. "Lubrication Theory for the Reactive Spreading of Thin Drops," R.J. Braun, B.T. Murray, W.J. Boettinger and G.B. McFadden, Physics of Fluids 7 (1995) 1797-1810.
38. "Recent Developments in Phase-Field Models of Solidification," A.A. Wheeler, N.A. Ahmad, W.J. Boettinger, R.J. Braun, G.B. McFadden and B.T. Murray, Advances in Space Research 16 (1995) pp. (7)163-(7)172.
39. "Morphological Instability in Phase Field Models of Solidification," R. J. Braun, G. B. McFadden and S. R. Coriell, Phys. Rev. E 49 (1994) 4336-4352.
40. "Thermodynamically-Consistent Phase-Field Models for Solidification," S. L. Wang, R. F. Sekerka, A. A. Wheeler, B. T. Murray, S. R. Coriell, R. J. Braun and G. B. McFadden, Physica D 69 (1993) 189-200.
41. "Phase-Field Models for Anisotropic Interfaces," G. B. McFadden, A. A. Wheeler, R. J. Braun, S. R. Coriell and R. F. Sekerka, Phys. Rev. E 48 (1993) 2016-2024.
42. "Asymptotic Behavior of Modulated Taylor-Couette Flows with a Crystal-Melt Interface," R.J. Braun, G.B. McFadden, B.T. Murray, S.R. Coriell, M.E. Glicksman and M.E. Selleck, Phys. Fluids A 5 (1993) 1891-1903.
43. "Effect of Modulated Taylor-Vortex Flows on Crystal-Melt Interfaces," G.B. McFadden, R.J. Braun, B.T. Murray, S.R. Coriell and M.E. Glicksman, Proceedings of the NATO Advanced Research Workshop on Interactive Dynamics of Convection and Solidification, (Kluwer Scientific, Amsterdam, 1992) pp. 19-21.
44. "Pulsatile Instability in Rapid Directional Solidification: Strongly Nonlinear Analysis," R.J. Braun, G.J. Merchant, K. Brattkus and S.H. Davis, Proceedings of the VIIIth European Symposium on Materials and Fluid Sciences in Microgravity, Vol. II, (ESA Publications Division, Noordwijk, 1992) pp. 559-562.
45. "Pulsatile Instability in Rapid Directional Solidification: Strongly Nonlinear Analysis," G. J. Merchant, R. J. Braun, K. Brattkus and S. H. Davis, SIAM J. Appl. Math. 52 (1992) 1279-1302.
46. "Pulsatile and Cellular Mode Interaction in Rapid Directional Solidification," R. J. Braun, G. J. Merchant and S. H. Davis, Phys. Rev. B 45 (1992) 7002-7016.
47. "Cellular Instability in Rapid Directional Solidification: Bifurcation Theory," R.J. Braun and S.H. Davis, Acta metall. mater. 40 (1992) 2617-2638.
48. "Oscillatory Instabilities in Rapid Directional Solidification: Bifurcation Theory," R.J. Braun and S.H. Davis, J. Crystal Growth 112 (1991) 670-690.

Funding History

• National Science Foundation, DMS-1022704, "Modeling Tear Film Dynamics," with T.A. Driscoll, P.E. King-Smith and W.D. Henshaw, 2010-13; REU support for two students in summer 2011.
• National Science Foundation, DMS-0753064, "Collaborative Research: Special meeting: The MPI Workshop," coPI with L. Rossi (PI). (Collaborative with projects at Rensselaer Polytechnic Institute and Worcester Polytechnic Institute).
• National Science Foundation, DMS-0616483, "Modeling the Blink Cycle and Lipid Dynamics in the Tear Film," with L.P. Cook, T.A. Driscoll, P.E. King-Smith and W.D. Henshaw, 2006-2010; REU supplement for summer 2007 for two undergraduates and summers 2008 2009 and 2010 for one undergraduate each.
• University of Delaware, Foreign Travel Award, 2006.
• IMA PI Conference Grant for MPI 2004, with D.A. Edwards, 2004.
• National Science Foundation, DMS-0322585, "Mathematical Sciences Scientific Computing Research Environments," with T.A. Driscoll, P.B. Monk and L.F. Rossi, 2003-2005.
• Dow Corning Corporation, For modeling vertical draining free films, three grants: 1996-1997; 1997-1999; 1999-2002.
• National Institute of Standards and Technology, Support for 15th and 16th annual Mathematical Problems in Industry Workshops, two grants: 1999; 2000.
• E.I. du Pont de Nemours and Company, "Modeling Oxide Growth at High Temperature," 1998-2001.
• National Science Foundation DMS-9631287, "GIG--Applied Mathematics with Internship," with P.B. Monk (PI) and L.P. Cook-Ioannidis, 1996-2001.
• National Science Foundation, DMS-9722854, "Mathematical Sciences Scientific Computing Research Environments," with P.B. Monk (PI) and R.E. Kleinman, 1997-1999.
• National Science Foundation DMS--9623092, "Mathematical Sciences: Computational Two-Phase Viscous Drop Spreading," 1996-2000.
• University of Delaware Research Foundation, "Phase Boundary Dynamics Using a MuLtiple-Order-Parameter Theory," 1996-1997.

Thesis/Degree Students

• Mr. Longfei Li, PhD in Applied Mathematics, expected 2014.
• Mr. Quan Deng, PhD in Applied Mathematics, jointly with Toby Driscoll, expected 2013.
• Ms. Jennifer Bruhns, BS with Distinction in Quantitative Biology, expected 2013.
• Mr. Vikramjit Singh, BS with Distinction in Chemical Engineering, expected 2013.
• Dr. Kara Maki, PhD in Applied Mathematics, 2009.
• Dr. Shailesh Naire, PhD in Applied Mathematics, 2000.
• Dr. Gamze Tanoglu, PhD in Applied Mathematics, 2000.
• Dr. Paki Suwannajan, BS with Distinction in Mathematics, 1999.
• Dr. Jie Zhang, MS in Applied Mathematics, 1997.

Summer Students

• Ms. Jennifer Bruhns, Undergraduate summer project (HHMI), 2011, 2012; (Independent study) 12S; (UG thesis) 2012-13.
• Mr. Vikramjit Singh, Undergraduate summer scholar (SES, 2012; UG thesis 2012-13).
• Mr. Dylan Chapp, Undergraduate summer scholar (NSF REU), 2012
• Mr. Michael Stapf, Unidel summer project (Unidel), 2012.
• Mr. Tianyu Qiu, Graduate summer project (GEMS team), 2012.
• Mr. Douglas Freeman, Undergraduate summer project (NSF REU), 2011.
• Mr. Kaijing Wang, Undergraduate summer project, 2011.
• Mr. Robert Paul, Undergraduate summer project (NSF REU), 2011.
• Mr. Wai-Kit Shum, Undergraduate summer project, 2011.
• Mr. Longfei Li, Graduate summer project (GEMS team), 2010.
• Ms. Stacey Watro, Undergraduate summer project (GEMS team), 2010.
• Mr. Jiahua Tang, Graduate summer project (GEMS team), 2009.
• Ms. Esra Ozturk, Graduate SIAM Handbook of Formulas project, 2009.
• Mr. Brian Ruberti, Graduate SIAM Handbook of Formulas project, 2009.
• Mr. Wisely Wong, Graduate SIAM Handbook of Formulas project, 2009.
• Mr. Don Knieriem, Undergraduate summer project, (HHMI) 2007, 2008.
• Mr. Peter Ucciferro, Undergraduate summer projects, (NSF REU) 2007-09.
• Mr. Paul Parsons, Undergraduate summer project, (NSF REU)2007.
• Mr. Joseph Hartnett, Undergraduate summer project, 2006.
• Mr. A. Homayoun Heidari, Graduate visiting scholar, 1/01-2/01.
• Mr. Juan Soto, Summer student at NIST jointly with B.T. Murray, 1992-94.

Postdocs

• Dr. Nicholas Gewecke, 8/11-8/13.
• Dr. Michael Sostarecz, 9/04-6/06, jointly with L.P. Cook.
• Dr. Mikhail Khenner, 8/00-7/02.
• Dr. Cynthia (Spade) DeBisschop, 7/00-6/01, jointly with L.P. Cook.

Visiting Professors

• Dr. R. Usha, IIT Madras, 8/07--8/08.

Thesis Committees

• Dr. Kuang-Ting Hsiao, PhD in Mechanical Engineering, 1999, Advisor: Prof. Suresh Advani.
• Dr. Bradley D. Johnson, PhD in Civil Engineering, 2000, Advisor: Prof. Nobuhisa Kobayashi.
• Dr. Bryan Wood, PhD in Applied Mathematics, 2003, Advisors: Profs. L.P. Cook and G. Schleiniger.
• Dr. Ozer Elbeyli, PhD in Mechanical Engineering, 2004, Advisor: Prof. Jian-Qiao Sun.
• Dr. Mihaela Blenariu, PhD in Applied Mathematics, SUNY Buffalo, 2004, Advisor: Prof. Brian Spencer.
• Dr. Jeffrey Lawrence, PhD in Mechanical Engineering, 2005, Advisor: Prof. Suresh Advani.
• Dr. Jiguang Sun, PhD in Applied Mathematics, 2005, Advisor: Prof. Peter Monk.
• Dr. I. M. Rizwan Sadiq, PhD in Applied Mathematics, IIT Madras, 2007, Advisor: Prof. R. Usha.
• Dr. J. Regan Beckham, PhD in Appied Mathematics, 2008, Advisor: Profs. John Pelesko and Philip Broadbridge.
• Dr. Derek Moulton, PhD in Applied Matheamtics, 2008, Advisor: Prof. John Pelesko.
• Dr. Zaeem Khan, PhD in Mechanical Engineering, 2009, Advisor: Prof. Sunil Agrawal.
• Dr. Vivek Sangwan, PhD in Mechanical Engineering, 2010, Advisor: Prof. Sunil Agrawal.

Selected Professional Activities

• Member: American Physical Society, Society for Industrial and Applied Mathematics, Tear Film and Ocular Surface Society, International Society for Dacryology and Dry Eye.
• Director of Graduate Studies, Department of Mathematical Sciences, 2007-09.
• Co-organizer of Mathematical Modeling in Industry: A Workhop for Graduate Students, IMA, 2005-2011.
• Chair of organizing committee for 15th, 16th, 20th and 23rd annual Mathematical Problems in Industry Workshops, 1999, 2000, 04, 07.
• Organizing committee member for Mathematical Problems in Industry Workshops, 1999-2012.
• Organized a four-session minisymposium with N. Gewecke and E. Peterson called "Thin Fluid Film Dynamics and Applications" for SIAM Annual Meeting, 2012.
• Organized and chaired a two-session minisymposium with C. Breward called "Dynamics on the Anterior Eye" for ICIAM, 2011.
• Organized and chaired a minisymposium called "Recent Applications of Dynamical Systems in Industrial Settings" for SIAM Applied Dynamical Systems Meeting, 2005.
• Organized and chaired a minisymposium called "Recent Progress in Thin Fluid Flows" for AMS Eastern Section Meeting, 2005.
• Co-organized Applied Math Seminar, University of Delaware Department of Mathematical Sciences, 1997-01, 02-04, 06-07, 10-11.
• Peer Review of Articles for Physics of Fluids, Journal of Crystal Growth, SIAM Journal on Applied Mathematics, Quarterly Journal of Mechanics and Applied Mathematics, Physical Review Letters, Journal of Vibration and Acoustics, European Journal of Mechanics B, Journal of Colloid and Interface Science, Philosophical Magazine A, Journal of Fluid Mechanics, Journal of Computational Physics, Journal of Engineering Mathematics, Physica D, European Journal of Applied Mathematics, Current Eye Research, Interfaces and Free Boundaries, IMA Journal on Applied Mathematics, Journal of Biomechanics, Experimental Eye Research, Bulletin of Mathematical Biology, Optometry and Vision Science, Physical Review B, Journal of the American Statistical Association, Mathematical Methods in the Applied Sciences.
• Peer Review of Proposals for NASA, NRC, NSF, US-Israeli BSF, DOE, EPSRC and the Petroleum Research Fund.
• Peer Review of Books for SIAM, Wiley and McGraw-Hill.

Recent Invited Talks

• Indiana University (School of Optometry, 2012).
• The 17th European Conference on Mathematics for Industry 2012 (2 minisymposia, Lund, Sweden, 2012).
• Ursinus College (Colloquium, Department of Mathematics, 2011).
• Southern Methodist University (Research Colloquium, Department of Mathematics, 2010).
• Oxford University (Differential Equations and Applications Seminar, OCIAM, 2010).
• Small Scale Hydrodynamics: Theory and Application in Microfluidics and Thin Films (Banff International Research Station, 2010).
• Oxford Center for Collaborative Applied Mathematics (Tear Film Group; Oxford, UK, 2009).
• IMA Annual Program Workshop on Flowing Complex Fluids: Rheological Measurements and Constitutive Modeling (Minneapolis, Sept 2009).
• SIAM Annual Meeting Minisymposium talk (2001, 02, 08 2009).
• Rensselaer Polytechnic Institute (RTG series, Department of Mathematical Sciences, 2009).
• Shippensburg University (Department of Mathematics, 2009).
• AMS Southeast Regional Meeting Special Session on Biological Materials (Raleigh, 2009).
• SIAM Annual Meeting Minisymposium Panel Discussion on Undergraduate Research (San Diego, 2008).
• George Mason University (Department of Mathematical Sciences, 2007).
• SANUM 2007 (Stellenbosch, South Africa, 2007).
• University of the Witwatersrand (Johannesburg, South Africa, 2007).
• SIAM CSE Meeting Minisymposium talk (Costa Mesa, CA, 2007).
• Wave Dynamics and Stability of Thin Film Flow Systems (IIT Madras, India, 2006).

Recent Contributed Talks

• Tear Film and Ocular Surface Society (2004, 07, 10; 2 posters each).
• Association for Research in Vision and Ophthalmology (2010, 11, 12; poster).
• IMA Hot Topics Workshop on Higher Order Geometric Evolution Equations (poster, 2009).
• APS Division of Fluid Dynamics Annual Meeting (04-10).
• SIAM Applications of Dynamical Systems Meeting (Snowbird, 2005).
• AMS Eastern Section Meeting (University of Delaware, 2005).
• SIAM Annual Meeting (2006, 08)

Honors and Awards

• Nominated for University Excellence-in-Teaching Award (2006).
• Who's Who in Science and Engineering (since 1998).
• Who's Who in American Education (since 2007).
• American Men and Women of Science (since 1998).
• National Research Council Postdoctoral Fellowship, National Institute of Standards and Technology (1991-93).
• NASA Graduate Student Researchers Program Fellowship (1989-91).
• Cabell Fellowship, Northwestern University (1987-88).
• Member, Tau Beta Pi, Sigma Xi.
• Outstanding Student Contribution Award, American Society of Mechanical Engineers Student Section (1983).
• University Scholarship, Santa Clara University (4 years).
• Presidential Scholarship, Santa Clara University (Senior year).

Courses Taught

• Math 243 Analytic Geometry and Calculus C
• Math 302 Ordinary Differential Equations
• Math 349 Elementary Linear Algebra
• Math 351 Engineering Mathematics I (* = developed new course)
• Math 353 Engineering Mathematics III (*)
• Math 426 Introduction to Numerical Analysis and Algorithmic Computation
• Math 428 Algorithmic and Numerical Solution of Differential Equations
• Math/Cheg 460 Introduction to Systems Biology
• Math 503 Advanced Calculus
• Math 535 Partial Differential Equations (*)
• Math 611 Introduction to Numerical Analysis and Scientific Computation
• Math 612 Introduction to Numerical Methods for Partial Differential Equations
• Math 660 Introduction to Systems Biology
• Math 667 Introduction to Continuum Mechanics: Topics in Viscous Fluid Flow (*)
• Math 810 Asymptotic and Perturbation Methods
• Math 824 Topics in Applied Mathematics (Viscoelasticity and Free Surface Flows)
• Math 870 Reading courses (Spectral Methods with Matlab; Dynamics on Networks)
• Math 964 Precandidacy Study (Reading in Mathematics and Spectral Methods)

Personal Information

Citizenship: U.S.A.

Hobbies: Bicycling, running and hiking.

Richard Braun 1/20/10