Publications
An optimization algorithm for a distributed-loop model of an avian urine concentrating mechanism. Bulletin of mathematical biology, 68, 1625–1660. Springer-Verlag.
. (2006). Modeling water transport across elastic boundaries using an explicit jump method. SIAM Journal on Scientific Computing, 28, 2189–2207. Society for Industrial and Applied Mathematics.
. (2006). . (2006). A methodology for tracking solute distribution in a mathematical model of the kidney. Journal of Biological Systems, 13, 399–419. World Scientific.
. (2005). Role of structural organization in the urine concentrating mechanism of an avian kidney. Mathematical biosciences, 197, 211–230. Elsevier.
. (2005). A region-based mathematical model of the urine concentrating mechanism in the rat outer medulla. II. Parameter sensitivity and tubular inhomogeneity. American Journal of Physiology-Renal Physiology, 289, F1367–F1381. American Physiological Society.
. (2005). Multistability in tubuloglomerular feedback and spectral complexity in spontaneously hypertensive rats. American Journal of Physiology-Renal Physiology.
. (2005). A region-based mathematical model of the urine concentrating mechanism in the rat outer medulla. I. Formulation and base-case results. American Journal of Physiology-Renal Physiology, 289, F1346–F1366. American Physiological Society.
. (2005). Implications of the choice of quadrature nodes for Picard integral deferred corrections methods for ordinary differential equations. BIT Numerical Mathematics, 45, 341–373. Springer-Verlag.
. (2005). . (2004). Two modes for concentrating urine in rat inner medulla. American Journal of Physiology-Renal Physiology, 287, F816–F839. American Physiological Society.
. (2004). Conservative multi-implicit spectral deferred correction methods for reacting gas dynamics. Journal of Computational Physics, 194, 697–715. Elsevier.
. (2004). Longevity of granular iron in groundwater treatment processes: changes in solute transport properties over time PJ Vikesland, J. Klausen, H. Zimmermann, A. Lynn Roberts and WP Ball........ 3 The effect of local-scale physical heterogeneity and nonl. Journal of Contaminant Hydrology, 64, 309–310.
(2003). (2003). A semi-Lagrangian collocation method for the shallow water equations on the sphere. SIAM Journal on Scientific Computing, 24, 1433–1449. SIAM.
. (2003). An efficient numerical method for distributed-loop models of the urine concentrating mechanism. Mathematical biosciences, 181, 111–132. Elsevier.
. (2003). A semi-Lagrangian double Fourier method for the shallow water equations on the sphere. Journal of Computational Physics, 189, 180–196. Elsevier.
. (2003). A region-based model framework for the rat urine concentrating mechanism. Bulletin of mathematical biology, 65, 859–901. Springer-Verlag.
. (2003). High-order multi-implicit spectral deferred correction methods for problems of reactive flow. Journal of Computational Physics, 189, 651–675. Elsevier.
. (2003). Optimal quadratic spline collocation methods for the shallow water equations on the sphere. Submitted to Mathematics and Computers in Simulation.
. (2002).