BibTeX records: Vincent J. Ervin

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@article{DBLP:journals/jcam/ZhengEW23,
  author       = {Xiangcheng Zheng and
                  V. J. Ervin and
                  Hong Wang},
  title        = {Analysis and Petrov-Galerkin numerical approximation for variable
                  coefficient two-sided fractional diffusion, advection, reaction equations},
  journal      = {J. Comput. Appl. Math.},
  volume       = {425},
  pages        = {115033},
  year         = {2023},
  url          = {https://doi.org/10.1016/j.cam.2022.115033},
  doi          = {10.1016/J.CAM.2022.115033},
  timestamp    = {Tue, 28 Mar 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jcam/ZhengEW23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@article{DBLP:journals/corr/abs-2203-11705,
  author       = {Xiangcheng Zheng and
                  V. J. Ervin and
                  Hong Wang},
  title        = {Analysis and Petrov-Galerkin numerical approximation for variable
                  coefficient two-sided fractional diffusion, advection, reaction equations},
  journal      = {CoRR},
  volume       = {abs/2203.11705},
  year         = {2022},
  url          = {https://doi.org/10.48550/arXiv.2203.11705},
  doi          = {10.48550/ARXIV.2203.11705},
  eprinttype    = {arXiv},
  eprint       = {2203.11705},
  timestamp    = {Sat, 30 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2203-11705.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@article{DBLP:journals/amc/YangCEW21,
  author       = {Suxiang Yang and
                  Huanzhen Chen and
                  Vincent J. Ervin and
                  Hong Wang},
  title        = {Solvability and approximation of two-side conservative fractional
                  diffusion problems with variable-Coefficient based on least-Squares},
  journal      = {Appl. Math. Comput.},
  volume       = {406},
  pages        = {126229},
  year         = {2021},
  url          = {https://doi.org/10.1016/j.amc.2021.126229},
  doi          = {10.1016/J.AMC.2021.126229},
  timestamp    = {Sat, 30 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/amc/YangCEW21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@article{DBLP:journals/jscic/ZhengEW21,
  author       = {Xiangcheng Zheng and
                  V. J. Ervin and
                  Hong Wang},
  title        = {Optimal Petrov-Galerkin Spectral Approximation Method for the Fractional
                  Diffusion, Advection, Reaction Equation on a Bounded Interval},
  journal      = {J. Sci. Comput.},
  volume       = {86},
  number       = {3},
  pages        = {29},
  year         = {2021},
  url          = {https://doi.org/10.1007/s10915-020-01366-y},
  doi          = {10.1007/S10915-020-01366-Y},
  timestamp    = {Tue, 02 Mar 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jscic/ZhengEW21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@article{DBLP:journals/cmam/ZhengE020,
  author       = {Xiangcheng Zheng and
                  Vincent J. Ervin and
                  Hong Wang},
  title        = {Numerical Approximations for the Variable Coefficient Fractional Diffusion
                  Equations with Non-smooth Data},
  journal      = {Comput. Methods Appl. Math.},
  volume       = {20},
  number       = {3},
  pages        = {573--589},
  year         = {2020},
  url          = {https://doi.org/10.1515/cmam-2019-0038},
  doi          = {10.1515/CMAM-2019-0038},
  timestamp    = {Sat, 30 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/cmam/ZhengE020.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@article{DBLP:journals/corr/abs-2002-02330,
  author       = {Xiangcheng Zheng and
                  V. J. Ervin and
                  Hong Wang},
  title        = {Optimal Petrov-Galerkin spectral approximation method for the fractional
                  diffusion, advection, reaction equation on a bounded interval},
  journal      = {CoRR},
  volume       = {abs/2002.02330},
  year         = {2020},
  url          = {https://arxiv.org/abs/2002.02330},
  eprinttype    = {arXiv},
  eprint       = {2002.02330},
  timestamp    = {Mon, 24 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2002-02330.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@article{DBLP:journals/corr/abs-2004-10720,
  author       = {Alistair Bentley and
                  V. J. Ervin},
  title        = {Approximation of the Axisymmetric Elasticity Equations with Weak Symmetry},
  journal      = {CoRR},
  volume       = {abs/2004.10720},
  year         = {2020},
  url          = {https://arxiv.org/abs/2004.10720},
  eprinttype    = {arXiv},
  eprint       = {2004.10720},
  timestamp    = {Tue, 28 Apr 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2004-10720.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@article{DBLP:journals/amc/ZhengEW19,
  author       = {Xiangcheng Zheng and
                  V. J. Ervin and
                  Hong Wang},
  title        = {Spectral approximation of a variable coefficient fractional diffusion
                  equation in one space dimension},
  journal      = {Appl. Math. Comput.},
  volume       = {361},
  pages        = {98--111},
  year         = {2019},
  url          = {https://doi.org/10.1016/j.amc.2019.05.017},
  doi          = {10.1016/J.AMC.2019.05.017},
  timestamp    = {Mon, 18 May 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/amc/ZhengEW19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@article{DBLP:journals/jcam/ErvinR18,
  author       = {V. J. Ervin and
                  Javier Ruiz{-}Ram{\'{\i}}rez},
  title        = {A deposition model coupling Stokes' and Darcy's equations with nonlinear
                  deposition},
  journal      = {J. Comput. Appl. Math.},
  volume       = {340},
  pages        = {151--172},
  year         = {2018},
  url          = {https://doi.org/10.1016/j.cam.2018.02.021},
  doi          = {10.1016/J.CAM.2018.02.021},
  timestamp    = {Mon, 03 Mar 2025 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jcam/ErvinR18.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@article{DBLP:journals/moc/ErvinHR18,
  author       = {V. J. Ervin and
                  Norbert Heuer and
                  John Paul Roop},
  title        = {Regularity of the solution to 1-D fractional order diffusion equations},
  journal      = {Math. Comput.},
  volume       = {87},
  number       = {313},
  pages        = {2273--2294},
  year         = {2018},
  url          = {https://doi.org/10.1090/mcom/3295},
  doi          = {10.1090/MCOM/3295},
  timestamp    = {Sat, 30 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/moc/ErvinHR18.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@article{DBLP:journals/jcam/ErvinLR17,
  author       = {V. J. Ervin and
                  Hyesuk Lee and
                  Javier Ruiz{-}Ram{\'{\i}}rez},
  title        = {Nonlinear Darcy fluid flow with deposition},
  journal      = {J. Comput. Appl. Math.},
  volume       = {309},
  pages        = {79--94},
  year         = {2017},
  url          = {https://doi.org/10.1016/j.cam.2016.06.025},
  doi          = {10.1016/J.CAM.2016.06.025},
  timestamp    = {Mon, 03 Mar 2025 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jcam/ErvinLR17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@article{DBLP:journals/jscic/ErvinFHK17,
  author       = {Vincent J. Ervin and
                  Thomas F{\"{u}}hrer and
                  Norbert Heuer and
                  Michael Karkulik},
  title        = {{DPG} Method with Optimal Test Functions for a Fractional Advection
                  Diffusion Equation},
  journal      = {J. Sci. Comput.},
  volume       = {72},
  number       = {2},
  pages        = {568--585},
  year         = {2017},
  url          = {https://doi.org/10.1007/s10915-017-0369-z},
  doi          = {10.1007/S10915-017-0369-Z},
  timestamp    = {Sun, 06 Oct 2024 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jscic/ErvinFHK17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@article{DBLP:journals/axioms/ErvinKLMST15,
  author       = {Vincent J. Ervin and
                  Michaela Kubacki and
                  William J. Layton and
                  Marina Moraiti and
                  Zhiyong Si and
                  Catalin Trenchea},
  title        = {On Limiting Behavior of Contaminant Transport Models in Coupled Surface
                  and Groundwater Flows},
  journal      = {Axioms},
  volume       = {4},
  number       = {4},
  pages        = {518--529},
  year         = {2015},
  url          = {https://doi.org/10.3390/axioms4040518},
  doi          = {10.3390/AXIOMS4040518},
  timestamp    = {Sun, 06 Oct 2024 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/axioms/ErvinKLMST15.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@article{DBLP:journals/jscic/ErvinJL14,
  author       = {V. J. Ervin and
                  Eleanor W. Jenkins and
                  Hyesuk Lee},
  title        = {Approximation of the Stokes-Darcy System by Optimization},
  journal      = {J. Sci. Comput.},
  volume       = {59},
  number       = {3},
  pages        = {775--794},
  year         = {2014},
  url          = {https://doi.org/10.1007/s10915-013-9779-8},
  doi          = {10.1007/S10915-013-9779-8},
  timestamp    = {Sat, 30 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jscic/ErvinJL14.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@article{DBLP:journals/amc/CrowderE13,
  author       = {T. R. Crowder and
                  V. J. Ervin},
  title        = {Numerical simulations of fluid pressure in the human eye},
  journal      = {Appl. Math. Comput.},
  volume       = {219},
  number       = {24},
  pages        = {11119--11133},
  year         = {2013},
  url          = {https://doi.org/10.1016/j.amc.2013.04.060},
  doi          = {10.1016/J.AMC.2013.04.060},
  timestamp    = {Sat, 30 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/amc/CrowderE13.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@article{DBLP:journals/siamnum/Ervin13,
  author       = {V. J. Ervin},
  title        = {Approximation of Axisymmetric Darcy Flow Using Mixed Finite Element
                  Methods},
  journal      = {{SIAM} J. Numer. Anal.},
  volume       = {51},
  number       = {3},
  pages        = {1421--1442},
  year         = {2013},
  url          = {https://doi.org/10.1137/120861631},
  doi          = {10.1137/120861631},
  timestamp    = {Sat, 30 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamnum/Ervin13.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@article{DBLP:journals/cma/Ervin12,
  author       = {V. J. Ervin},
  title        = {Computational bases for RT\({}_{\mbox{k}}\) and BDM\({}_{\mbox{k}}\)
                  on triangles},
  journal      = {Comput. Math. Appl.},
  volume       = {64},
  number       = {8},
  pages        = {2765--2774},
  year         = {2012},
  url          = {https://doi.org/10.1016/j.camwa.2012.08.011},
  doi          = {10.1016/J.CAMWA.2012.08.011},
  timestamp    = {Sat, 30 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/cma/Ervin12.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@article{DBLP:journals/siamnum/ErvinLN12,
  author       = {Vincent J. Ervin and
                  William J. Layton and
                  Monika Neda},
  title        = {Numerical Analysis of Filter-Based Stabilization for Evolution Equations},
  journal      = {{SIAM} J. Numer. Anal.},
  volume       = {50},
  number       = {5},
  pages        = {2307--2335},
  year         = {2012},
  url          = {https://doi.org/10.1137/100782048},
  doi          = {10.1137/100782048},
  timestamp    = {Sun, 06 Oct 2024 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamnum/ErvinLN12.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@article{DBLP:journals/amc/ErvinJ11,
  author       = {V. J. Ervin and
                  Eleanor W. Jenkins},
  title        = {Stabilized approximation to degenerate transport equations via filtering},
  journal      = {Appl. Math. Comput.},
  volume       = {217},
  number       = {17},
  pages        = {7282--7294},
  year         = {2011},
  url          = {https://doi.org/10.1016/j.amc.2011.02.020},
  doi          = {10.1016/J.AMC.2011.02.020},
  timestamp    = {Sat, 30 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/amc/ErvinJ11.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@article{DBLP:journals/siamnum/CaseELR11,
  author       = {Michael A. Case and
                  Vincent J. Ervin and
                  Alexander Linke and
                  Leo G. Rebholz},
  title        = {A Connection Between Scott-Vogelius and Grad-Div Stabilized Taylor-Hood
                  {FE} Approximations of the Navier-Stokes Equations},
  journal      = {{SIAM} J. Numer. Anal.},
  volume       = {49},
  number       = {4},
  pages        = {1461--1481},
  year         = {2011},
  url          = {https://doi.org/10.1137/100794250},
  doi          = {10.1137/100794250},
  timestamp    = {Sat, 30 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamnum/CaseELR11.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@article{DBLP:journals/jcam/ChrispellEJ09,
  author       = {J. C. Chrispell and
                  V. J. Ervin and
                  Eleanor W. Jenkins},
  title        = {A fractional step {\texttheta}-method approximation of time-dependent
                  viscoelastic fluid flow},
  journal      = {J. Comput. Appl. Math.},
  volume       = {232},
  number       = {2},
  pages        = {159--175},
  year         = {2009},
  url          = {https://doi.org/10.1016/j.cam.2009.05.024},
  doi          = {10.1016/J.CAM.2009.05.024},
  timestamp    = {Sat, 30 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jcam/ChrispellEJ09.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@article{DBLP:journals/siamnum/ErvinJS09,
  author       = {V. J. Ervin and
                  Eleanor W. Jenkins and
                  Shuyu Sun},
  title        = {Coupled Generalized Nonlinear Stokes Flow with Flow through a Porous
                  Medium},
  journal      = {{SIAM} J. Numer. Anal.},
  volume       = {47},
  number       = {2},
  pages        = {929--952},
  year         = {2009},
  url          = {https://doi.org/10.1137/070708354},
  doi          = {10.1137/070708354},
  timestamp    = {Sat, 30 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamnum/ErvinJS09.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@article{DBLP:journals/amc/ErvinHL08,
  author       = {Vincent J. Ervin and
                  Jason S. Howell and
                  Hyesuk Lee},
  title        = {A two-parameter defect-correction method for computation of steady-state
                  viscoelastic fluid flow},
  journal      = {Appl. Math. Comput.},
  volume       = {196},
  number       = {2},
  pages        = {818--834},
  year         = {2008},
  url          = {https://doi.org/10.1016/j.amc.2007.07.014},
  doi          = {10.1016/J.AMC.2007.07.014},
  timestamp    = {Sat, 30 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/amc/ErvinHL08.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@article{DBLP:journals/siamnum/ErvinHR07,
  author       = {Vincent J. Ervin and
                  Norbert Heuer and
                  John Paul Roop},
  title        = {Numerical Approximation of a Time Dependent, Nonlinear, Space-Fractional
                  Diffusion Equation},
  journal      = {{SIAM} J. Numer. Anal.},
  volume       = {45},
  number       = {2},
  pages        = {572--591},
  year         = {2007},
  url          = {https://doi.org/10.1137/050642757},
  doi          = {10.1137/050642757},
  timestamp    = {Sat, 30 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamnum/ErvinHR07.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@article{DBLP:journals/siamnum/ErvinL07,
  author       = {Vincent J. Ervin and
                  Hyesuk Lee},
  title        = {Numerical Approximation of a Quasi-Newtonian Stokes Flow Problem with
                  Defective Boundary Conditions},
  journal      = {{SIAM} J. Numer. Anal.},
  volume       = {45},
  number       = {5},
  pages        = {2120--2140},
  year         = {2007},
  url          = {https://doi.org/10.1137/060669012},
  doi          = {10.1137/060669012},
  timestamp    = {Sat, 30 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamnum/ErvinL07.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@article{DBLP:journals/siamnum/ErvinM03,
  author       = {Vincent J. Ervin and
                  William W. Miles},
  title        = {Approximation of Time-Dependent Viscoelastic Fluid Flow: {SUPG} Approximation},
  journal      = {{SIAM} J. Numer. Anal.},
  volume       = {41},
  number       = {2},
  pages        = {457--486},
  year         = {2003},
  url          = {https://doi.org/10.1137/S003614290241177X},
  doi          = {10.1137/S003614290241177X},
  timestamp    = {Sat, 30 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamnum/ErvinM03.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@article{DBLP:journals/amc/DuanE00,
  author       = {Jinqiao Duan and
                  Vincent J. Ervin},
  title        = {On nonlinear amplitude evolution under stochastic forcing},
  journal      = {Appl. Math. Comput.},
  volume       = {109},
  number       = {1},
  pages        = {59--65},
  year         = {2000},
  url          = {https://doi.org/10.1016/S0096-3003(99)00016-8},
  doi          = {10.1016/S0096-3003(99)00016-8},
  timestamp    = {Sat, 30 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/amc/DuanE00.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@article{DBLP:journals/siamnum/ErvinLM00,
  author       = {Vincent J. Ervin and
                  William J. Layton and
                  Joseph M. Maubach},
  title        = {Adaptive Defect-Correction Methods for Viscous Incompressible Flow
                  Problems},
  journal      = {{SIAM} J. Numer. Anal.},
  volume       = {37},
  number       = {4},
  pages        = {1165--1185},
  year         = {2000},
  url          = {https://doi.org/10.1137/S0036142997318164},
  doi          = {10.1137/S0036142997318164},
  timestamp    = {Sun, 06 Oct 2024 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamnum/ErvinLM00.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

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