Vogman, G. V.; Shumlak, U.; Colella, P. Conservative fourth-order finite-volume Vlasov-Poisson solver for axisymmetric plasmas in cylindrical (\(r,v_r,v_\theta\)) phase space coordinates. (English) Zbl 1416.65300 J. Comput. Phys. 373, 877-899 (2018). MSC: 65M08 35Q83 PDFBibTeX XMLCite \textit{G. V. Vogman} et al., J. Comput. Phys. 373, 877--899 (2018; Zbl 1416.65300) Full Text: DOI Link
Chaplin, Christopher; Colella, Phillip A single-stage flux-corrected transport algorithm for high-order finite-volume methods. (English) Zbl 1362.65091 Commun. Appl. Math. Comput. Sci. 12, No. 1, 1-24 (2017). MSC: 65M08 PDFBibTeX XMLCite \textit{C. Chaplin} and \textit{P. Colella}, Commun. Appl. Math. Comput. Sci. 12, No. 1, 1--24 (2017; Zbl 1362.65091) Full Text: DOI arXiv
Guzik, Stephen M.; Gao, Xinfeng; Owen, Landon D.; McCorquodale, Peter; Colella, Phillip A freestream-preserving fourth-order finite-volume method in mapped coordinates with adaptive-mesh refinement. (English) Zbl 1390.65091 Comput. Fluids 123, 202-217 (2015). MSC: 65M08 65M50 76M12 35L65 PDFBibTeX XMLCite \textit{S. M. Guzik} et al., Comput. Fluids 123, 202--217 (2015; Zbl 1390.65091) Full Text: DOI
McCorquodale, P.; Dorr, M. R.; Hittinger, J. A. F.; Colella, P. High-order finite-volume methods for hyperbolic conservation laws on mapped multiblock grids. (English) Zbl 1354.65178 J. Comput. Phys. 288, 181-195 (2015). MSC: 65M08 35L65 PDFBibTeX XMLCite \textit{P. McCorquodale} et al., J. Comput. Phys. 288, 181--195 (2015; Zbl 1354.65178) Full Text: DOI
McCorquodale, Peter; Ullrich, Paul A.; Johansen, Hans; Colella, Phillip An adaptive multiblock high-order finite-volume method for solving the shallow-water equations on the sphere. (English) Zbl 1326.65114 Commun. Appl. Math. Comput. Sci. 10, No. 2, 121-162 (2015). MSC: 65M08 35Q35 76M12 76B15 35L40 65M50 35L65 PDFBibTeX XMLCite \textit{P. McCorquodale} et al., Commun. Appl. Math. Comput. Sci. 10, No. 2, 121--162 (2015; Zbl 1326.65114) Full Text: DOI
Zhang, Qinghai; Johansen, Hans; Colella, Phillip A fourth-order accurate finite-volume method with structured adaptive mesh refinement for solving the advection-diffusion equation. (English) Zbl 1302.76139 SIAM J. Sci. Comput. 34, No. 2, B179-B201 (2012). MSC: 76M22 65M08 65L06 PDFBibTeX XMLCite \textit{Q. Zhang} et al., SIAM J. Sci. Comput. 34, No. 2, B179--B201 (2012; Zbl 1302.76139) Full Text: DOI
Colella, P.; Dorr, M. R.; Hittinger, J. A. F.; Martin, D. F. High-order, finite-volume methods in mapped coordinates. (English) Zbl 1218.65119 J. Comput. Phys. 230, No. 8, 2952-2976 (2011). MSC: 65N08 65M08 35J25 35L40 PDFBibTeX XMLCite \textit{P. Colella} et al., J. Comput. Phys. 230, No. 8, 2952--2976 (2011; Zbl 1218.65119) Full Text: DOI Link
Gatti-Bono, Caroline; Colella, Phillip; Trebotich, David A second-order accurate conservative front-tracking method in one dimension. (English) Zbl 1323.76073 SIAM J. Sci. Comput. 31, No. 6, 4795-4813 (2010). MSC: 76M25 76M12 65M08 35L60 PDFBibTeX XMLCite \textit{C. Gatti-Bono} et al., SIAM J. Sci. Comput. 31, No. 6, 4795--4813 (2010; Zbl 1323.76073) Full Text: DOI
Barad, Michael F.; Colella, Phillip; Schladow, S. Geoffrey An adaptive cut-cell method for environmental fluid mechanics. (English) Zbl 1319.76015 Int. J. Numer. Methods Fluids 60, No. 5, 473-514 (2009). MSC: 76D05 76M12 PDFBibTeX XMLCite \textit{M. F. Barad} et al., Int. J. Numer. Methods Fluids 60, No. 5, 473--514 (2009; Zbl 1319.76015) Full Text: DOI
Miniati, Francesco; Colella, Phillip A modified higher-order Godunov’s scheme for stiff source conservative hydrodynamics. (English) Zbl 1117.76039 J. Comput. Phys. 224, No. 2, 519-538 (2007). MSC: 76M12 76N15 PDFBibTeX XMLCite \textit{F. Miniati} and \textit{P. Colella}, J. Comput. Phys. 224, No. 2, 519--538 (2007; Zbl 1117.76039) Full Text: DOI arXiv
Colella, Phillip; Graves, Daniel T.; Keen, Benjamin J.; Modiano, David A Cartesian grid embedded boundary method for hyperbolic conservation laws. (English) Zbl 1120.65324 J. Comput. Phys. 211, No. 1, 347-366 (2006). MSC: 65M06 35L65 65M12 PDFBibTeX XMLCite \textit{P. Colella} et al., J. Comput. Phys. 211, No. 1, 347--366 (2006; Zbl 1120.65324) Full Text: DOI Link
Barad, Michael; Colella, Phillip A fourth-order accurate local refinement method for Poisson’s equation. (English) Zbl 1073.65126 J. Comput. Phys. 209, No. 1, 1-18 (2005). MSC: 65N30 65N15 65N12 65N55 65N50 35J05 PDFBibTeX XMLCite \textit{M. Barad} and \textit{P. Colella}, J. Comput. Phys. 209, No. 1, 1--18 (2005; Zbl 1073.65126) Full Text: DOI
Miller, G. H.; Colella, P. A conservative three-dimensional Eulerian method for coupled solid-fluid shock capturing. (English) Zbl 1057.76558 J. Comput. Phys. 183, No. 1, 26-82 (2002). MSC: 76M20 76M12 65M06 74F10 76L05 PDFBibTeX XMLCite \textit{G. H. Miller} and \textit{P. Colella}, J. Comput. Phys. 183, No. 1, 26--82 (2002; Zbl 1057.76558) Full Text: DOI
Johansen, Hans; Colella, Phillip A Cartesian grid embedded boundary method for Poisson’s equation on irregular domains. (English) Zbl 0923.65079 J. Comput. Phys. 147, No. 1, 60-85 (1998). Reviewer: Gerald W.Hedstrom (Pleasanton) MSC: 65N30 35J05 PDFBibTeX XMLCite \textit{H. Johansen} and \textit{P. Colella}, J. Comput. Phys. 147, No. 1, 60--85 (1998; Zbl 0923.65079) Full Text: DOI Link