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Applied Numerical Algorithms Group

Peter McCorquodale

Peter McCorquodale
Research Scientist
Phone: +1 510 495 2458
Fax: +1 510 486 6900

Peter McCorquodale is a computational scientist in the Applied Numerical Algorithms Group at Lawrence Berkeley National Laboratory. He is a developer of the Chombo package, and his research is in numerical methods for partial differential equations, particularly high-order finite-difference and finite-volume methods with adaptive mesh refinement. He is applying these methods on mapped multiblock grids to fusion edge plasmas with the Edge Simulation Lab collaboration, and also to global atmospheric dynamics simulations.

Peter joined the Applied Numerical Algorithms Group as a post-doc in 1998 after receiving his Ph.D. in applied mathematics from the Massachusetts Institute of Technology. He also holds a B.Sc. in mathematics from Simon Fraser University, Canada, and an M.S. in mathematics from Stanford University.

Journal Articles

Mark Adams, Stephen Cornford, Daniel Martin, Peter McCorquodale, "Composite matrix construction for structured grid adaptive mesh refinement", Computer Physics Communications, November 2019, 244:35-39, doi: 10.1016/j.cpc.2019.07.006

Jared O. Ferguson, Christiane Jablonowski, Hans Johansen, Peter McCorquodale, Phillip Colella, Paul A. Ullrich, "Analyzing the adaptive mesh refinement (AMR) characteristics of a high-order 2D cubed-sphere shallow-water model", Mon. Wea. Rev., November 9, 2016, 144:4641–4666, doi: 10.1175/MWR-D-16-0197.1

Stephen M. Guzik, Xinfeng Gao, Landon D. Owen, Peter McCorquodale, Phillip Colella, "A freestream-preserving fourth-order finite-volume method in mapped coordinates with adaptive-mesh refinement", Computers & Fluids, December 21, 2015, 123:202–217, doi: 10.1016/j.compfluid.2015.10.001

P. McCorquodale, P.A. Ullrich, H. Johansen, P. Colella, "An adaptive multiblock high-order finite-volume method for solving the shallow-water equations on the sphere", Comm. App. Math. and Comp. Sci., 2015, 10:121-162, doi: 10.2140/camcos.2015.10.121

P. McCorquodale, M.R. Dorr, J.A.F. Hittinger, P. Colella, "High-order finite-volume methods for hyperbolic conservation laws on mapped multiblock grids", J. Comput. Phys., May 1, 2015, 288:181-195, doi: 10.1016/

P. McCorquodale and P. Colella, "A High-Order Finite-Volume Method for Conservation Laws on Locally Refined Grids", Communications in Applied Mathematics and Computational Science, Vol. 6 (2011), No. 1, 1-25, 2011,

McCorquodale, P., Colella, P., Balls, G.T., and Baden, S.B., "A Local Corrections Algorithm for Solving Poisson's Equation in Three Dimensions", Communications in Applied Mathematics and Computational Science Vol. 2, No. 1 (2007), pp. 57-81., 2007, doi: 10.2140/camcos.2007.2.57

Vay, J.L., Colella, P., Kwan, J.W., McCorquodale, P., Serafini, D.B., Friedman, A., Grote, D.P., Westenskow, G., Adam, J.C., "Application of Adaptive Mesh Refinement to Particle-in-Cell Simulations of Plasmas and Beams", Physics of Plasmas Vol.11 (2004), pp. 2928-2934, 2004,

Vay, J.L., Colella, P., Friedman, A., Grote, D.P., McCorquodale, P., Serafini, D.B., "Implementations of Mesh Refinement Schemes for Particle-in-Cell Plasma Simulations", Computer Physics Communications Vol.164 (2004), pp. 297-305, 2004,

McCorquodale, P., Colella, P., Grote, D., Vay, J.L., "A Node-Centered Local Refinement Algorithm for Poisson's Equation in Complex Geometries", J. Comput. Phys. Vol.201 (2004), pp. 34-60, 2004,

Vay, J.L., Colella, P., McCorquodale, P., Van Straalen, B., Friedman, A., Grote, D.P., "Mesh Refinement for Particle-in-Cell Plasma Simulations: Applications to and Benefits for Heavy Ion Fusion", Laser and Particle Beams. Vol.20 N.4 (2002), pp. 569-575, 2002,

McCorquodale, P., Colella, P., Johansen, H., "A Cartesian Grid Embedded Boundary Method for the Heat Equation on Irregular Domains", J. Comput. Phys. Vol.173 (2001), pp. 620-635, 2001,

Conference Papers

J. Ferguson, C. Jablonowski, H. Johansen, R. English, P. McCorquodale, P. Colella, J. Benedict, W. Collins, J. Johnson, P. Ullrich, "Assessing Grid Refinement Strategies in the Chombo Adaptive Mesh Refinement Model", AGU Fall Meeting, San Francisco, CA, December 15, 2014,

S. Guzik, P. McCorquodale, P. Colella, "A Freestream-Preserving High-Order Finite-Volume Method for Mapped Grids with Adaptive-Mesh Refinement", 50th AIAA Aerospace Sciences Meeting Nashville, TN, 2012,

P. Colella, M. Dorr, J. Hittinger, D.F. Martin, and P. McCorquodale, "High-Order Finite-Volume Adaptive Methods on Locally Rectangular Grids", 2009 J. Phys.: Conf. Ser. 180 012010, 2009,

P. Colella, M. Dorr, J. Hittinger, P.W. McCorquodale, and D.F. Martin, "High-Order Finite-Volume Methods on Locally-Structured Grids", Numerical Modeling of Space Plasma Flows: Astronum 2008 -- Proceedings of the 3rd International Conference, June 8-13, 2008, St John, U.S. Virgin Islands, 2009, pp. 207-216, 2009,

McCorquodale, P., Colella, P., Balls, G., Baden, S.B., "A Scalable Parallel Poisson Solver with Infinite-Domain Boundary Conditions", Proceedings of the 7th Workshop on High Performance Scientific and Engineering Computing, Oslo, Norway, June 2005,


M. Adams, P. Colella, D. T. Graves, J.N. Johnson, N.D. Keen, T. J. Ligocki. D. F. Martin. P.W. McCorquodale, D. Modiano. P.O. Schwartz, T.D. Sternberg, B. Van Straalen, "Chombo Software Package for AMR Applications - Design Document", Lawrence Berkeley National Laboratory Technical Report LBNL-6616E, January 9, 2015,

Ryne, R., Abell, D., Adelmann, A., Admundson, J., Bohn, C., Cary, J., Colella, P., Dechow, D., Decyk, V., Dragt, A., Gerber, R., Habib, S., Higdon, D., Katsouleas, T., Ta, K.L., McCorquodale, P., Mihalcea, D., Mitchell, C., Mori, W., Mottershead, C.T., Neri, F., Pogorelov, I., Quiang, J., Samulyak, R., Serafini, D., Shalf, J., Siegerist, C., Spentzouris, P., Stoltz, P., Terzic, B., Venturini, M., Walstrom, P., "SciDAC Advances and Applications in Computational Beam Dynamics", June 2005, LBNL 58243,