G. Chukkapalli, S. R. Karpik, and C. R. Ethier, “A Scheme for Generating Unstructured Grids on Spheres with Application to Parallel Computing”, Journal of Computational Physics, 149, 13 pp., 1999.

S. R. Karpik and S. R. Crockett, “A Semi-Lagrangian Algorithm for the 2-d Advection-Diffusion Equation on Curvilinear Coordinate Meshes”, Journal of Hydraulic Engineering, 123 (5), pp. 389-401, 1997.

P. A. Makar and S. R. Karpik, “Basis-Spline Interpolation on the Sphere:Applications to Semi-Lagrangian Advection”, Monthly Weather Review, 24 (1), pp. 182-199, 1996.

S. R. Karpik, J. L. Walmsley, and W. Weng, “The Mixed Spectral Finite-Difference (MSFD) Model: Improved Upper Boundary Conditions”, Boundary Layer Meteorology, 75 (4), 1995.

D. A. Steinman, C. R. Ethier, X. Zhang and S. R. Karpik, “Effects of Local Geometry on Anastomotic Flow Pattern”, in Proc. of 1994 ASME Winter Annual Meeting, 2 pp., 1994.

J. L. Walmsley, S. R. Karpik and W. Weng, “Wind Flow and Turbulence Estimates in Complex Terrain Using Linearized Models”, in Proc. of European Wind Energy Association Conference, 5 pp., 1994.

W. Weng, J. L. Walmsley, S. R. Karpik, D. Xu, P. A. Taylor, K. Ayotte and J. R. Salmon “Applications of the MSFD and NLMSFD Models to Airflow Over Askervein Hill”, in Proc. of European Wind Energy Association Conference, 6 pp., 1994.

J. L. Walmsley, W. Weng, S. R. Karpik, D. Xu and P. A. Taylor, “Application of the Mixed Spectral Finite-Difference (MSFD) Model and its Nonlinear Extension (NLMSFD) to Wind Flows over Blashaval Hill”, Air Pollution Modelling and Its Application XX, 8 pp. (New York: Plenum Publishing Corp., 1994).

S. R. Karpik, “A Spline-Based Semi-Lagrangian Method for Advection Dominated Transport Equations on Triangular Meshes”, in Proc. of CFD’94, pp. 91-98, 1994.

D. A. Steinman, C. R. Ethier, X. Zhang and S. R. Karpik, “Code Testing with an Exact Solution to the 3-D Navier-Stokes Equations”, in Proc. of CFD’94, pp. 115-122, 1994.

X. Zhang, C. R. Ethier, S. R. Karpik and D. A. Steinman, “Development of a Solver for the 3-D Unsteady Incompressible Navier-Stokes Equations”, in Proc. of CFD’94, pp. 379-386, 1994.

C. R. Ethier, X. Zhang, S. R. Karpik and M. Ojha, “Numerical Simulation of Flow in a Model 3-D End-to-Side Anastomosis”, Proc. of ASME Winter Annual Meeting in 1993 Advances in Bioengineering, BED 26, pp. 83-86, 1993.

S. R. Karpik and J. L. Walmsley, “A Linear Model for Stratified Flow in Complex Terrain”, Air Pollution Modelling and Its Application XIX (New York: Plenum Publishing Corp., 1992).

S. R. Karpik and W. R. Peltier, “Multigrid Methods for the Solution of Poisson's Equation in a Thick Spherical Shell”, SIAM Journal on Scientific and Statistical Computing, Vol. 12, pp. 681-694, 1991.

S. R. Karpik, “An Analysis of Finite Element Schemes for Advection Dominated Transport Equations”, in Ocean Waves Mechanics, Computational Fluid Dynamics and Mathematical Modelling, edited by M. Rahman, pp. 895-902 (Southampton: Computational Mechanics Publications, 1990).

S. R. Karpik and G. D. Raithby, “A Laterally Averaged Hydrodynamics Model for Reservoir Predictions”, ASCE Journal on Hydraulic Engineering, Vol. 116, pp. 783-798, 1990.

S. R. Karpik, “An Improved Method for Integrating the MSFD Model Equations”, Boundary-Layer Meteorology 43, pp. 273-286, 1988.

D. Clarke, S. R. Karpik and R. N. Henriksen, “Numerical Simulation of the Growth of Thick Accretion Disks”, Ap. J. Suppl. 58, pp. 81-106, 1985.

J. S. Chang and S. R. Karpik, “Plasma Density Distribution in a Medium Pressure Flowing Positive Column”, B. Am. Phys. Soc. 25, p. 109, 1980.

J. L. Walmsley and S. R. Karpik, “Wind Flow and Turbulence Estimates in Complex Terrain Using Linearized Models”, European Wind Energy Association Conference, 2 pp., 1994.

W. Weng, J. L. Walmsley, S. R. Karpik, D. Xu, P. A. Taylor, K. Ayotte and J. R. Salmon “Applications of the MSFD and NLMSFD Models to Airflow Over Askervein Hill”, in Proc. of European Wind Energy Association Conference, 2 pp., 1994.

C. R. Ethier, X. Zhang, S. R. Karpik, K. W. Johnston, and D. A. Steinman, “Flow Patterns in Hooded vs. Non-Hooded Astomoses”, Second World Conference of Biomechanics, 1994.

J. L. Walmsley and S. R. Karpik, “MSFD-PC: A Computer Model Package for Wind Flow and Turbulence Estimates in Complex Terrain”, Canadian Wind Energy Conference, Pincher Creek, Alberta, September 20-22, 1993.

P. A. Taylor, S. R. Karpik and J. L. Walmsley, “Linearized Models of Boundary Layer Flow Over Low Hills”, Symposium of Dynamics of Flow Over Topography” at the 19th Congress of the IUGG, Vancouver, August, 1987.

S. R. Karpik, J. L. Walmsley and A. C. M. Beljaars, “A Mixed Spectral Finite-Difference Model for Flow Over Complex Terrain”, First International Conference on Industrial and Applied Mathematics, Paris, June 29-July 3, 1987.

J. L. Walmsley and S. R. Karpik, “MSFD-PC: A Computer Model Package for Wind Flow and Turbulence Estimates in Complex Terrain”, in Proc. of the 9th Annual Conference of the Canadian Wind Energy Association, 8 pp., 1993.

S. R. Karpik and C. Kessler, A User’s Manual for the MSFD-PC Model, prepared for Environment Canada and Zephyr North (1993).

S. R. Karpik, Numerical and Physical Modelling of the Air Flow in Automobile Paint Spray Booths: Proposal and Feasibility Study, prepared by Kings Engineering Associates Ltd. for the Advanced Engineering Staff, General Motors Technical Center, Warren, Michigan (June, 1992).

S. R. Karpik, A Critical Review of the Province of Ontario's Nuclear Emergency Atmospheric Dispersion Model, report commissioned by the Ontario Nuclear Safety Review, 41 pp. (1987).

S. R. Karpik and J. L. Walmsley, MSFD-PC: A Computer Model for Flow in Complex Terrain, distributed by Zephyr North, 1994.

P. A. Makar and S. R. Karpik, P-Spline: A Collection of Codes for Interpolation on Spherical Surfaces, distributed by the authors, 1994.

K. Aubé, J. Finkel, C. R. Ethier, X. Zhang, D. Steinman, S. R. Karpik and K. W. Johnson, Flow Visualization in End-to-Side Anastomosis, 5 minutes and 30 seconds, Department of Mechanical Engineering, University of Toronto, April, 1994.

S. R. Karpik, “The Semi-Lagrangian and Finite Element Methods in Geophysical Flows”, Centre for Research on Computation and It’s Application (CERCA), Montreal, June 8, 1994.

S. R. Karpik, “Spline-based Semi-Lagrangian Finite Element Approximations to Advection Dominated Transport Equations”, Fluids Seminar Series, Department of Mechanical Engineering, University of Toronto, Toronto, April 19, 1993.

S. R. Karpik, “The MSFD Model: Numerical Considerations”, Workshop on the Mixed Spectral Finite-Difference Model, Atmospheric Environment Service, Downsview, January 25, 1993.

S. R. Karpik, “Stably Stratified Flow Over Topography”, Department of Mechanical Engineering, Fluids Seminar Series, Department of Mechanical Engineering, University of Toronto, Toronto, November 29, 1991.

S. R. Karpik, “A Multigrid Method for Elliptic Partial Differential Equations in Thick Spherical Shell Domains”, Department of Computer Science, University of Toronto, Toronto, March 29, 1990.

S. R. Karpik, “Finite Element Method Schemes for Advection Dominated Flows”, Faculty of Engineering, University of Guelph, Guelph, November 29, 1989.

S. R. Karpik, “On the Development of a New Model for the Atmospheric General Circulation: Numerical Aspects”, Department of Applied Mathematics, University of Waterloo, Waterloo, July 18, 1989.

S. R. Karpik, “Massively Parallel Multigrid Methods”, Canadian Applied Mathematics Society Annual Meeting, Winnipeg, Manitoba, June 7-9, 1989.

S. R. Karpik, “An Improved Method for Integrating the MSFD Model Equations”, Department of Civil Engineering Lecture Series, University of Western Ontario, February 17, 1987.

D. A. Steinman, C. R. Ethier, X. Zhang and S. R. Karpik, “Effects of Local Geometry on Anastomotic Flow Patterns”, ASME Winter Meeting, Chicago, November 6-11, 1994.

J. L. Walmsley. S. R. Karpik and W. Weng, “Wind Flow and Turbulence Estimates in Complex Terrain Using Linearized Models”, European Wind Energy Association Conference and Exhibition, Thessaloniki, Greece, October 10-14, 1994.

W. Weng, J. L. Walmsley, S. R. Karpik, Xu, D., P. A. Taylor, K. Ayotte, and J. R. Salmon, “Applications of the MSFD and NLMSFD Models to Airflow over Askervein Hill”, European Wind Energy Association Conference and Exhibition, Thessaloniki, Greece, October 10-14, 1994. 

S. R. Karpik, “A Spline-Based Semi-Lagrangian Method for Advection-Dominated Transport Equations on Triangular Meshes”, CFD Society of Canada Annual Conference, Toronto, June 1-3, 1994.

D. A. Steinman, C. R. Ethier, X. Zhang and S. R. Karpik, “Code Testing with an Exact Solution to the 3D Navier-Stokes Equations”, CFD Society of Canada Annual Conference, Toronto, June 1-3, 1994. 

X. Zhang, C. R. Ethier, S. R. Karpik and D. A. Steinman, “Development of a Solver for the 3D Unsteady Incompressible Navier-Stokes Equations”, CFD Society of Canada Annual Conference, Toronto, June 1-3, 1994.

C. R. Ethier, X. Zhang, S. R. Karpik, K. W. Johnston, and D. A. Steinman, “Flow Patterns in Hooded vs. Non-Hooded Astomoses”, Second World Conference of Biomechanics, 1994.

C. R. Ethier, X. Zhang, S. R. Karpik and Ojha, M., “Numerical Simulation of Flow in a Model 3-D End-To-Side Anastomosis”, ASME Winter Annual Meeting, New Orleans, November, 1993.

J. L. Walmsley, W. Weng, S. R. Karpik, D. Xu, and P. A. Taylor, “Application of the Mixed Spectral Finite-Difference (MSFD) Model and Its Nonlinear Extension (NLMSFD) to Wind Flows Over Blashaval Hill”, Twentieth International Meeting on Air Pollution Modelling and its Application, Valencia, Spain, November 29 - December 3, 1993.

J. L. Walmsley and S. R. Karpik, “MSFD-PC: A Computer Model Package for Wind Flow and Turbulence Estimates in Complex Terrain”, Canadian Wind Energy Conference, Pincher Creek, Alberta, September 20-22, 1993.

J. L. Walmsley and S. R. Karpik, “A Linear Model for Stratified Flow in Complex Terrain”, 19th NATO/CCMS International Meeting on Air Pollution Modelling and its Application, Crete, September 29 - October 4, 1991.

S. R. Karpik, “An Analysis of Finite Element Schemes for Advection Dominated Transport Equations”, Annual Meeting of the Canadian Applied Mathematics Society, Halifax, May 29-June 1, 1990.

P. A. Taylor, S. R. Karpik and J. L. Walmsley, “Linearized Models of Boundary Layer Flow Over Low Hills”, Symposium of Dynamics of Flow Over Topography at the 19th Congress of the IUGG, Vancouver, August, 1987.

S. R. Karpik, J. L. Walmsley and A. C. M. Beljaars, “A Mixed Spectral Finite-Difference Model for Flow Over Complex Terrain”, First International Conference on Industrial and Applied Mathematics, Paris, June 29-July 3, 1987.

S. R. Karpik, “A Modified Locally One-Dimensional Solver”, Canadian Applied Mathematics Society Annual Meeting, Waterloo, May 26-28, 1986.