Papers and Presentations for Anita T. Layton

Journal Articles

  1. Anita T. Layton, `` Cubic Spline Collocation Method for the Shallow Water Equations on the Sphere,'' Journal of Computational Physics, Vol. 179, pp. 578-592, 2002.
  2. Anita T. Layton and Harold E. Layton, `` A Semi-Lagrangian Semi-Implicit Numerical Method for Models of the Urine Concentrating Mechanism,'' SIAM Journal of Scientific Computing, Vol. 23, No. 5, pp. 1528-1548, 2002.
  3. Anita T. Layton and Michiel van de Panne, `` A Numerically Efficient and Stable Algorithm for Animating Water Waves,'' The Visual Computer, Vol. 18, No. 1, pp. 41-53, 2002.
  4. Anita T. Layton and Harold E. Layton, `` A Numerical Method for Renal Models that Represent Tubules with Abrupt Changes in Membrane Properties,'' Journal of Mathematical Biology, Vol. 45, No. 5, pp. 549-567, 2002.
  5. Anita T. Layton and Harold E. Layton, `` An Efficient Numerical Method for Distributed-Loop Models of the Urine Concentrating Mechanism,'' Mathematical Biosciences, Vol. 181, No. 2, pp. 111-132, 2003.
  6. Anita T. Layton `` A Semi-Lagrangian Collocation Method for the Shallow Water Equations on the Sphere,'' SIAM Journal of Scientific Computing, Vol. 24, No. 4, pp. 1433-1449, 2003.
  7. Anita T. Layton and William F. Spotz `` A Semi-Lagrangian Double Fourier Method for the Shallow Water Equations on the Sphere,'' Journal of Computational Physics, Vol. 189, No. 1, pp. 180-196, 2003.
  8. Anne Bourlioux, Anita T. Layton, and Michael L. Minion, `` High-Order Multi-Implicit Spectral Deferred Correction Methods for Problems of Reactive Flow,'' Journal of Computational Physics, Vol. 189, No. 2, pp. 651-675, 2003.
  9. Anita T. Layton and Harold E. Layton, `` A Region-based Model Framework for the Rat Urine Concentrating Mechanism,'' Bulletin of Mathematical Biology, Vol. 65, No. 6, pp. 859-901, 2003.
  10. Anita T. Layton and Michael L. Minion, `` Conservative Multi-Implicit Spectral Deferred Correction Methods for Reacting Gas Dynamics,'' Journal of Computational Physics, Vol. 194, No. 2, pp. 697-715, 2004.
  11. Anita T. Layton, Christina C. Christara, and Kenneth R. Jackson, ``Quadratic Spline Galerkin Method for the Shallow Water Equations on the Sphere,'' submitted to Mathematics and Computers in Simulation.
  12. Anita T. Layton, Christina C. Christara, and Kenneth R. Jackson, ``Optimal Quadratic Spline Collocation Methods for the Shallow Water Equations on the Sphere,'' submitted to Mathematics and Computers in Simulation.
  13. Anita T. Layton and Harold E. Layton, "A Region-based Mathematical Model of the Urine Concentrating Mechanism in the Rat Outer Medulla: I. Formulation and Base-case Results," submitted to American Journal of Physiology Renal Physiology.
  14. Anita T. Layton and Harold E. Layton, "A Region-based Mathematical Model of the Urine Concentrating Mechanism in the Rat Outer Medulla: II. Parameter Sensitivity and Tubular Inhomogeneity," submitted to American Journal of Physiology Renal Physiology.
  15. Anita T. Layton, Thomas L. Pannabecker, William H. Dantzler, and Harold E. Layton, "Two modes for concentrating urine in the rat inner medulla," American Journal of Physiology Renal Physiology.
  16. Anita T. Layton, "A methodology for tracking solute distribution in mathematical models of the urine concentrating mechanism," submitted to Journal of Mathematical Biology.

Conference Proceedings Articles
  1. Anita T. Layton, `` High-Order Operator-Splitting Methods for Reacting Gas Dynamics,'' Proceedings of the 11th Annual Conference of the CFD Society of Canada , 2003.
  2. Anita T. Layton, ``A Two-Time-Level Semi-Lagrangian Semi-Implicit Double Fourier Method,'' Proceedings of the Workshop on Current Development in Shallow Water Models on the Sphere , 2003.
  3. Anita W. Tam, ``A Two-Time-Level Semi-Quadratic Spline Galerkin Method for the Shallow Water Equations ,'' Proceedings of the 8th Annual Conference of the CFD Society of Canada, 2000.

Ph.D. and M.Sc. Dissertations

Presentations

  1. ``Impaired Countercurrent Exchange in a Mathematical Model of a Urine Concentrating Mechanism Lacking UT-B Urea Transporter,'' ASN Renal Week 2003, San Diego, CA, November 12-17, 2003.
  2. ``New Numerical Methods for the Next Generation of Countercurrent Models,'' Nephrons and Numbers: The Past and Future of Renal Systems Biology, San Diego, CA, March 11, 2003.
  3. ``Donnan Disequilibrium Hypothesis for Single Effect in Urine Concentrating Mechanism of Renal Inner Medulla,'' Experimental Biology 2003, San Diego, CA, March 11-15, 2003.
  4. ``A Method for Tracking Solute Distribution in Mathematical Models of the Urine Concentrating Mechanism,'' Experimental Biology 2003, San Diego, CA, March 11-15, 2003.
  5. ``Internephron Coupling May Contribute to Emergence of Irregular Oscillations Mediated by Tubuloglomerular Feedback,'' ASN Renal Week 2002, Philadelphia, PA, November 1-4, 2002.
  6. ``Conservative Multi-Implicit Spectral Deferred Correction Methods for Reacting Gas Dynamics,'' Scientific Computing and Applied Mathematics Seminar, Department of Mathematics, Duke University, Durham, NC, October 21, 2002.
  7. ``A Semi-Lagrangian Double Fourier Method for the Shallow Water Equations on the Sphere,'' Applied Mathematics Seminar, Department of Mathematics, University of North Carolina, Chapel Hill, NC, August 30, 2002.
  8. ``A Semi-Lagrangian Double Fourier Method for the Shallow Water Equations,'' The 2002 Workshop on the Solution of Partial Differential Equations on the Sphere, Fields Institute, Toronto, ON, August 12-15, 2002.
  9. ``A High-Order Operator-Splitting Formulation of the Spectral Deferred Correction Methods,'' 2002 SIAM 50th Anniversay & Annual Meeting, Philadelphia, PA, July 8-12, 2002.
  10. ``Mixing It All Up,'' invited lecture at the Duke Summer Program in Mathematical Biology, Department of Mathematics, Duke University, Durham, NC, June 19, 2002.
  11. ``A Mathematical Model of the Urine Concentrating Mechanism in the Outer Medulla of the Rat Kidney,'' Experimental Biology , New Orleans, LA, April 20-24, 2002.
  12. ``A New Numerical Method for Models of the Urine Concentrating Mechanism Is Both Stable and Efficient,'' ASN/ISN World Congress of Nephrology, San Francisco, CA, October 13-17, 2001.
  13. ``An Efficient Numerical Method for Mathematical Models of the Urine Concentrating Mechanism,'' invited talk at Department of Applied Mathematics, University of Colorado, Boulder, CO, September 25, 2001.
  14. ``Numerical Weather Prediction: the Semi-Lagrangian Double Fourier Method,'' Advanced Study Program Research Report at the National Center for Atmospheric Research, June 20, 2001.
  15. ``Optimal Quadratic Spline Collocation Methods for the Shallow Water Equations,'' 2001 Workshop on the Solution of Partial Differential Equations on the Sphere, Montreal, QC, Canada, May 15-18, 2001.
  16. ``Optimal Quadratic Spline Collocation Methods for the Shallow Water Equations,'' First SIAM Conference on Computational Science and Engineering, Washington, DC, September 21-24, 2000.
  17. ``Quadratic Spine Galerkin Method for the Shallow Water Equations,'' 2000 SIAM Annual Meeting, Rio Grande, Puerto Rico, July 10-14, 2000.
  18. ``Quadratic Spline Galerkin Method for the Shallow Water Equations,'' 8th Annual Conference of the CFD Society of Canada, Montreal, QC, Canada, June 11-13, 2000.
  19. ``Numerical Models for Models of Renal Tubules,'' Southern Ontario Numerical Analysis Day, University of Western Ontario, London, Ontario, Canada, May 12, 2000.
  20. ``High Order Spatial Discretization Methods for the Shallow Water Equations,'' 8th Workshop on the Solution of PDEs on the Sphere, San Francisco, CA, November 30 - December 3, 1999.
  21. ``High Order Spatial Discretization Schemes for the Shallow Water Equations,'' the 17th Annual Souther Ontario Numerical Analysis Day, McMaster University, Hamilton, Ontario, Canada, April 29, 1999.
  22. ``An Introduction to Scientific Computing,'' invited lecture at Computing Insights 1998, University of Toronto, Toronto, Ontario, July 22, 1998.
Last updated November 19, 2003.