Bob Guy Assistant Professor Mathematics Department University of California Davis

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Teaching

Spring 2009	Math 228C
Winter 2009	Math 228B
Fall 2008	Math 128A Math 228A
Fall 2007	Math 17A

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Research
My research interests include:

• Mathematical Biology
• Mathematical Modeling
• Newtonian and non-Newtonian Fluid Mechanics
• Scientific Computation and Numerical Analysis

    Publications

• V. Camacho, R.D. Guy, and J. Jacobsen, "Traveling waves and shocks in a viscoelastic generalization of Burgers' equation", SIAM J. Appl. Math., Vol. 68, 1316-1332 (2008). pdf
• G.B. Wright, R.D. Guy, and A.L. Fogelson, "An efficient and robust method for simulating two-phase gel dynamics", SIAM J. Sci. Comput., Vol. 30, 2535-2565 (2008). pdf
• E.P. Newren, A.L. Fogelson, R.D. Guy, and R.M. Kirby, "A comparison of implicit solvers for the Immersed Boundary equations",  Comput. Methods Appl. Mech., Vol. 197, 2290-2304 (2008). pdf
• R.D. Guy and A.L. Fogelson, "A wave propagation algorithm for viscoelastic fluids with spatially and temporally varying properties", Comput. Methods Appl. Mech. Eng., Vol. 197, 2250-226 (2008). pdf
• A.L. Fogelson and R.D. Guy, "Immersed-Boundary-Motivated Models of Intravascular Platelet Aggregation",  Comput. Methods Appl. Mech. Eng., Vol. 197, 2250-2264 (2008). pdf
• T. Nakagaki and R.D. Guy, "Intelligent behaviors of amoeboid movement based on complex dynamics of soft matter", Soft Matter, Vol. 4, 57-67 (2008). pdf
• R.D. Guy, A.L. Fogelson, and J.P. Keener, "Fibrin formation in a shear flow", Math. Med. Biol., Vol. 24, 111-130 (2007). pdf
• E.P. Newren, A.L. Fogelson, R.D. Guy, and R.M. Kirby, "Unconditionally stable discretizations of the immersed boundary equations", J. Comp. Phys., Vol. 222,702-719 (2007). pdf
• R.D. Guy, "Asymptotic analysis of PTT type closures for transient network models", J. Non-Newton. Fluid Mech., Vol. 123, 223-235 (2005). pdf
• R.D. Guy and A.L. Fogelson, "Stability of approximate projection methods on cell-centered grids", J. Comp. Phys., Vol. 203, 517-538 (2005). pdf
• A.L. Fogelson and R.D. Guy, "Platelet-wall interactions in continuum models of platelet thrombosis: Formulation and numerical solution", Math. Med. Biol., Vol. 21, 293-334 (2004). pdf
• R.D. Guy and A.L. Fogelson, "Probabilistic modeling of platelet aggregation: Effects of activation time and receptor occupancy", J. Theor. Biol., Vol. 219, 33-53 (2002). pdf