Fields: Computational Science; numerical pdes; Computational fluids and
MHD; Hyperbolic Conservation Laws; Biomagnetism direct and inverse problems
Specific Topics: Wave diffraction; wave-wave resonance; Multiple reflections
from nonuniform background; Detection and simulation of magnetic field generated
by spiral waves; Spectrally accurate Maxwell solvers in time and frequency
domain; Photonics
Patrick Kano's (pkano@math.arizona.edu) website for numerical inversion of the Laplace transform Weeks Method.
"FDTD Based Local Mesh Refinement Method
for Maxwell's Equations in Two Space Dimensions", (with A. Zakharian
and J.V. Moloney) Comm. Math. Sci., (2005)
"Solitary Waves, Steepening and Initial
Collapse in the Vector Maxwell Equations", Physica D 170 (2002), p. 287, with M. P. Soerensen
G. M. Webb and J. V. Moloney)
"Two Dimensional Riemann Solver for Euler
Equations of Gas Dynamics", (with A. Zakharian and G. M. Webb), J. Comp.
Phys., 167, p.177 (2001)
"Weak Shock Reflection", (with J.
K. Hunter), J. Fluid Mech., 410, p. 235 (2000)
"An Upwind Differencing Scheme for the
Equations of Ideal Magnetohydrodynamics", (with C. C. Wu), J. Comput.
Phys., 75, p. 400 (1998).
