From Carolina Center for Interdisciplinary Applied Mathematics

Minion: Michael Minion's Publications

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• Sunyoung Bu, Jingfang Huang, and Michael L. Minion, Semi-implicit Krylov Deferred Correction Methods for Ordinary Differential Equations. In Proceedings of the 15th American Conference on Applied Mathematics (Houston, USA, April 30 - May 02, 2009), 95-100, 2009.
  
  
• Michael L. Minion and Sarah A. Williams, Parareal and Spectral Deferred Corrections, AIP Conference Proceedings, 1048, 388--391, 2008.
  
  
• Samet Kadioglu, Rupert Klein, and Michael L. Minion, A Fourth-Order Auxiliary Variable Projection Method for Zero-Mach Number Gas Dynamics, J. Comput. Phys., 227,(3), 2012--2043, 2008.
  
  
• Jingfang Huang, Jun Jia, and Michael L. Minion, Arbitrary Order Krylov Deferred Correction Methods for Differential Algebraic Equations, J. Comput. Phys., 221,(2), 739--760, 2007.
  
  
• Anita T. Layton and Michael L. Minion, Implications of the Choice of Predictors for Semi-Implicit Picard Integral Deferred Correction Methods, Comm. App. Math. and Comp. Sci., 2(1),1--34, 2007.
  
  
• Jingfang Huang, Jun Jia, and Michael L. Minion, Accelerating the Convergence of Spectral Deferred Correction Methods, J. Comput. Phys., 214 (2), 633-656, 2006.
  
  
• Anita T. Layton and Michael L. Minion, Implications of the Choice of Quadrature Nodes for Picard Integral Deferred Corrections Methods for Ordinary Differential Equations, BIT, 45 (2), 341-373, 2005.
  
  
• Anita T. Layton and Michael L. Minion, Conservative Multi-Implicit Spectral Deferred Correction Methods for Reacting Gas Dynamics, J. Comput. Phys, 194 (2), 697-714, 2004.
  
  
• Michael L. Minion, Semi-Implicit Projection Methods for Incompressible Flow based on Spectral Deferred Corrections, Appl. Numer. Math., 48 (3-4), 369-387, 2004.
  
  
• Anne Bourlioux , Anita T. Layton, and Michael L. Minion High-Order Multi-implicit Spectral Deferred Correction Methods for Problems of Reactive Flow, J. Comput. Phys., 189, 351--376, 2003.
  
  
• Michael L. Minion, Semi-implicit Spectral Deferred Correction Methods for Ordinary Differential Equations, Comm. Math. Sci., 1(3), 471--500, 2003.
  
  
• Michael L. Minion, Higher-order Semi-implicit Projection Methods, in Numerical Simulations of Incompressible Flows. Papers from the workshop held in Half Moon Bay, CA, June 19-21, 2001. also LLNL Technical Report UCRL-JC-145295.
  
  
• David L. Brown, Ricardo Cortez, and Michael L. Minion Accurate Projection Methods for the Incompressible Navier-Stokes Equations, J. Comput. Phys., 168, 464 -- 499, 2001.
  
  
• Leslie Greengard, Zydrunas Gimbutas and Michael L. Minion Coulumb Interactions on Planar Structures: Inverting the Square Root of the Laplacian", SIAM J. Sci. Computing 22 (6), 2093--2108, 2001.
  
  
• Ricardo Cortez and Michael L. Minion, The Blob Projection Method for Immersed Boundary Problems, J. Comput. Phys., 161, 428 -- 453, 2000.

• Michael L. Minion and David L. Brown, Performance of Under-resolved Two-dimensional Incompressible Flow Simulations II, J. Comput. Phys., 138, 734 -- 765, 1997.
  
  
• Michael L. Minion, A Projection Method for Locally Refined Grids, J. Comput. Phys., 127, 158 -- 177, 1996.
  
  
• Michael L. Minion, On The Stability of Godunov-projection Methods for Incompressible Flow, J. Comput. Phys., 123, 435 -- 449, 1996.
  
  
• David L. Brown and Michael L. Minion, Performance of Under-resolved Two-dimensional Incompressible Flow Simulations J. Comput. Phys., 122, 165 -- 183,1995.