Bob Guy
Assistant Professor
Mathematics Department
University of California Davis
Teaching
Fall 2007: Math 17A
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",
To appear in SIAM Journal on Applied Mathematics.
pdf
G.B. Wright, R.D. Guy, and A.L. Fogelson, "An efficient and
robust method for simulating two-phase gel dynamics", To appear in SIAM
Journal on Scientific Computing .
pdf
E.P. Newren, A.L. Fogelson, R.D. Guy, and R.M. Kirby, "A
comparison of implicit solvers for the Immersed Boundary
equations", To appear in Comput. Methods Appl. Mech. Eng.
pdf
R.D. Guy and A.L. Fogelson, "A wave propagation algorithm for
viscoelastic fluids with spatially and temporally varying properties",
To appear in Comput. Methods
Appl. Mech. Eng.
pdf
A.L. Fogelson and R.D. Guy, "Immersed-Boundary-Motivated Models
of Intravascular Platelet Aggregation", To appear in Comput. Methods
Appl. Mech. Eng.
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
