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1
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20344393858
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A fourth-order accurate local refinement method for Poisson's equation
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MR 2005m:65295 Zbl 1073.65126
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M. Barad and P. Colella, A fourth-order accurate local refinement method for Poisson's equation, J. Comput. Phys. 209 (2005), no. 1, 1-18. MR 2005m:65295 Zbl 1073.65126
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(2005)
J. Comput. Phys.
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Barad, M.1
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2
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85006854988
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Adaptive mesh refinement on moving quadrilateral grids
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AIAA, June
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J. B. Bell, P. Colella, J. A. Trangenstein, and M. Welcome, Adaptive mesh refinement on moving quadrilateral grids, Proceedings of the 9th AIAA Computational Fluid Dynamics Conference, AIAA, June 1989, pp. 471-479.
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(1989)
Proceedings of the 9th AIAA Computational Fluid Dynamics Conference
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Bell, J.B.1
Colella, P.2
Trangenstein, J.A.3
Welcome, M.4
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3
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11744289966
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Local adaptive mesh refinement for shock hydrodynamics
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M. J. Berger and P. Colella, Local adaptive mesh refinement for shock hydrodynamics, J. Comput. Phys. 82 (1989), no. 1, 64-84.
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J. Comput. Phys.
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Berger, M.J.1
Colella, P.2
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4
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26844455510
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Multidimensional upwind methods for hyperbolic conservation laws
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MR 91c:76087 Zbl 0694.65041
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P. Colella, Multidimensional upwind methods for hyperbolic conservation laws, J. Comput. Phys. 87 (1990), no. 1, 171-200. MR 91c:76087 Zbl 0694.65041
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J. Comput. Phys.
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Colella, P.1
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5
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79951775257
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High-order, finite-volume methods in mapped coordinates
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P. Colella, M. Dorr, J. Hittinger, and D. F. Martin, High-order, finite-volume methods in mapped coordinates, J. Comput. Phys. 230 (2011), no. 8, 2952-2976.
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Colella, P.1
Dorr, M.2
Hittinger, J.3
Martin, D.F.4
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6
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77956614257
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High-order finite-volume methods on locally-structured grids
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P. Colella, M. Dorr, J. Hittinger, P. McCorquodale, and D. F. Martin, High-order finite-volume methods on locally-structured grids, Numerical modeling of space plasma flows: ASTRONUM 2008, Astronomical Society of the Pacific Conference Series, no. 406, 2008, pp. 207-216.
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Numerical modeling of space plasma flows: ASTRONUM 2008, Astronomical Society of the Pacific Conference Series
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Colella, P.1
Dorr, M.2
Hittinger, J.3
McCorquodale, P.4
Martin, D.F.5
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7
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0012608526
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P. Colella, D. T. Graves, N. D. Keen, T. J. Ligocki, D. F. Martin, P. W. McCorquodale, D. Modiano, P. O. Schwartz, T. D. Sternberg, and B. V. Straalen, Chombo software package for amr applications - design document, 2009.
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(2009)
Chombo software package for amr applications - design document
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Colella, P.1
Graves, D.T.2
Keen, N.D.3
Ligocki, T.J.4
Martin, D.F.5
McCorquodale, P.W.6
Modiano D.Schwartz, P.O.7
Sternberg, T.D.8
Straalen, B.V.9
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8
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45449098226
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A limiter for PPM that preserves accuracy at smooth extrema
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MR 2009d:76079 Zbl 1152.65090
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P. Colella and M. D. Sekora, A limiter for PPM that preserves accuracy at smooth extrema, J. Comput. Phys. 227 (2008), no. 15, 7069-7076. MR 2009d:76079 Zbl 1152.65090
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J. Comput. Phys.
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Colella, P.1
Sekora, M.D.2
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9
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34547419627
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The piecewise parabolic method (PPM) for gas dynamical simulations
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P. Colella and P. R. Woodward, The piecewise parabolic method (PPM) for gas dynamical simulations, J. Comput. Phys. 54 (1984), 174-201.
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J. Comput. Phys.
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Colella, P.1
Woodward, P.R.2
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10
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84865124630
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Multirate integration of axisymmetric step-flow equations
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arXiv 0810.2517v1
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P.-W. Fok and R. R. Rosales, Multirate integration of axisymmetric step-flow equations, (2008), submitted to J. Comp. Phys. arXiv 0810.2517v1
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Fok, P.-W.1
Rosales, R.R.2
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11
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0004236492
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3rd ed., Johns Hopkins Studies in Math. Sciences, Johns Hopkins University Press, Baltimore. MR 97g:65006 Zbl 0865.65009
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G. H. Golub and C. F. Van Loan, Matrix computations, 3rd ed., Johns Hopkins Studies in Math. Sciences, Johns Hopkins University Press, Baltimore, 1996. MR 97g:65006 Zbl 0865.65009
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(1996)
Matrix computations
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Golub, G.H.1
Van Loan, C.F.2
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12
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0037216570
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Additive Runge-Kutta schemes for convection-diffusionreaction equations
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MR 2003m:65111 Zbl 1013.65103
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C. A. Kennedy and M. H. Carpenter, Additive Runge-Kutta schemes for convection-diffusionreaction equations, Appl. Numer. Math. 44 (2003), no. 1-2, 139-181. MR 2003m:65111 Zbl 1013.65103
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Appl. Numer. Math.
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Kennedy, C.A.1
Carpenter, M.H.2
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13
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37249089366
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A cell-centered adaptive projection method for the incompressible Navier-Stokes equations in three dimensions
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MR 2009g:76085 Zbl 1137.76040
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D. F. Martin, P. Colella, and D. Graves, A cell-centered adaptive projection method for the incompressible Navier-Stokes equations in three dimensions, J. Comput. Phys. 227 (2008), no. 3, 1863-1886. MR 2009g:76085 Zbl 1137.76040
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J. Comput. Phys.
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Martin, D.F.1
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14
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48749139407
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The numerical simulation of two-dimensional fluid flow with strong shocks
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MR 85e:76004 Zbl 0573.76057
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P. Woodward and P. Colella, The numerical simulation of two-dimensional fluid flow with strong shocks, J. Comput. Phys. 54 (1984), no. 1, 115-173. MR 85e:76004 Zbl 0573.76057
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J. Comput. Phys.
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Woodward, P.1
Colella, P.2
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15
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84865121919
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A fourth-order accurate finite-volume method with structured adaptive mesh refinement for solving the advection-diffusion equation, preprint
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Q. Zhang, H. Johansen, and P. Colella, A fourth-order accurate finite-volume method with structured adaptive mesh refinement for solving the advection-diffusion equation, preprint, 2010, submitted to SIAM J. Sci. Comp.
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(2010)
submitted to SIAM J. Sci. Comp.
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Zhang, Q.1
Johansen, H.2
Colella, P.3
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