@Article{nishikawa_boundary_quadrature:JCP2015,
  author = 	 {H. Nishikawa},
  title = 	 {Accuracy-preserving boundary flux quadrature for finite-volume discretization on unstructured grids},
  journal = JCP,
     year = 2015,
   volume = {281},
    month = January,
    pages = {518-555}
}



@Article{mazaheri_nishikawa:CF2014,
     author = {A. Mazaheri and H. Nishikawa},
      title = {Very efficient high-order hyperbolic schemes for time-dependent advection-diffusion problems: Third-, fourth-, and sixth-order},
  journal = {Computers and Fluids},
     year = 2014,
   volume = 102,
    month = October,
    pages = {131-147}
}



@InProceedings{nishikawa_onetwothree_ns:AIAA2014-2091,
     author = {Hiroaki Nishikawa},
  title = 	 {First, Second, and Third Order Finite-Volume Schemes for {N}avier-{S}tokes 
Equations},
  booktitle = 	 {Proc. of 7th {AIAA} Theoretical Fluid Mechanics Conference},
  series =	 {{AIAA} Paper 2014-2091},
  address = {Atlanta},
  year =	 {2014}
  }



@InProceedings{nishikawa_roe_eymann:AIAA2014-2092,
     author = {Hiroaki Nishikawa and Philip {L}. Roe and Timothy {A}. Eymann},
  title = 	 {Active Flux for Diffusion},
  booktitle = 	 {Proc. of 7th {AIAA} Theoretical Fluid Mechanics Conference},
  series =	 {{AIAA} Paper 2014-2092},
  address = {Atlanta},
  year =	 {2014}
  }



@Article{nishikawa_onetwothree_advdiffusion:JCP2014,
  author = 	 {H. Nishikawa},
  title = 	 {First-, Second-, and Third-Order Finite-Volume Schemes for Diffusion},
  journal = JCP,
     year = 2014,
   volume = {273},
    pages = {287-309},
      url = {http://www.hiroakinishikawa.com/My_papers/nishikawa_jcp2014v273pp287-309_preprint.pdf}
}



@Article{mazaheri_nishikawa:NASATM2014,
  author = 	 {Alireza Mazaheri and Hiroaki Nishikawa},
  title = 	 {First-Order Hyperbolic System Method for Time-Dependent Advection-Diffusion Problems},
  journal = {NASA-{TM}--2014--218175},
  year = 	 2014,
  month =	 {March}
}





@InProceedings{diskin_nishikawa:AIAA2014-0080,
     author = {Boris Diskin and Hiroaki Nishikawa},
  title = 	 {Evaluation of Multigrid Solutions for Turbulent Flows},
  booktitle = 	 {52nd {AIAA} Aerospace Sciences Meeting},
  series =	 {{AIAA} Paper 2014-0080},
  address = {National {H}arbor},
  year =	 {2014}
  }



@Article{nishikawa_onetwothree_diffusion:JCP2014,
  author = 	 {H. Nishikawa},
  title = 	 {First-, Second-, and Third-Order Finite-Volume Schemes for Diffusion},
  journal = JCP,
     year = 2014,
   volume = {256},
    pages = {791-805},
      url = {http://www.hiroakinishikawa.com/My_papers/nishikawa_jcp2014v256pp791-805_preprint.pdf}
}



@InProceedings{nishikawa_advection_diffusion:AIAA2013-2568,
     author = {Hiroaki Nishikawa},
      title = {First, Second, and Third Order Finite-Volume Schemes for Advection-Diffusion},
  booktitle = {21st {AIAA} Computational Fluid Dynamics Conference},
     series = {{AIAA} Paper 2013-2568},
    address = {San Diego, California},
       year = 2013
}



@InProceedings{multigrid:AIAA2013,
     author = {Hiroaki Nishikawa and Boris Diskin and James L. Thomas and D. H. Hammond},
      title = {Recent Advances in Agglomerated Multigrid},
  booktitle = {51st {AIAA} Aerospace Sciences Meeting},
     series = {{AIAA} Paper 2013-863},
    address = {Texas},
       year = 2013
}



@InProceedings{nishikawa_diffusion:AIAA2013,
     author = {Hiroaki Nishikawa},
      title = {First, Second, and Third Order Finite-Volume Schemes for Diffusion},
  booktitle = {51st {AIAA} Aerospace Sciences Meeting},
     series = {{AIAA} Paper 2013-1125},
    address = {Texas},
       year = 2013
}



@Article{nishikawa_JCP2012,
   author = {H. Nishikawa},
    title = {Divergence Formulation of Source Term}, 
  journal = {Journal of Computational Physics},
     year = 2012,
   volume = 231,
    pages = {6393-6400}
}



@InProceedings{nishikawa_hyperbolic_ns:AIAA2011,
     author = {Hiroaki Nishikawa},
      title = {New-Generation Hyperbolic Navier-Stokes Schemes: O(1/h) Speed-Up and Accurate Viscous/Heat Fluxes},
  booktitle = {20th {AIAA} Computational Fluid Dynamics Conference},
     series = {{AIAA} Paper 2011-3043},
    address = {Hawaii},
       year = 2011
}



@InProceedings{nishikawa_traditional_ns:AIAA2011,
     author = {Hiroaki Nishikawa},
      title = {Two Ways to Extend Diffusion Schemes to Navier-Stokes Schemes: Gradient Formula or Upwind Flux},
  booktitle = {20th {AIAA} Computational Fluid Dynamics Conference},
     series = {{AIAA} Paper 2011-3044},
    address = {Hawaii},
       year = 2011
}



@InProceedings{nishikawa_diskin:AIAA2011,
     author = {Hiroaki Nishikawa and Boris Diskin},
      title = {Development and Application of Parallel Agglomerated Multigrid Methods for Complex Geometries},
  booktitle = {20th {AIAA} Computational Fluid Dynamics Conference},
     series = {{AIAA} Paper 2011-3232},
    address = {Hawaii},
       year = 2011
}



@Article{nishikawa_general_principle:CF2011,
     author = {H. Nishikawa},
      title = {Robust and Accurate Viscous Discretization via Upwind Scheme - I:
 Basic Principle},
  journal = {Computers and Fluids},
     year = 2011,
   volume = 49,
   number = 1,
    month = October,
    pages = {62-86}
}



@InProceedings{nishikawa_general_principle:AIAA2010,
     author = {Hiroaki Nishikawa},
      title = {Beyond Interface Gradient: A General Principle for 
Constructing Diffusion Schemes},
  booktitle = {40th {AIAA} Fluid Dynamics Conference and Exhibit},
     series = {{AIAA} Paper 2010-5093},
    address = {Chicago},
       year = 2010
}



@InProceedings{nishikawa_general_principle:AIAA2009,
     author = {Hiroaki Nishikawa and Boris Diskin and J. L. Thomas},
      title = {Development and Application of Agglomerated Multigrid
Methods for Complex Geometries},
  booktitle = {40th {AIAA} Fluid Dynamics Conference and Exhibit},
     series = {{AIAA} Paper 2010-4731},
    address = {Chicago},
       year = 2010
}



@Article{thomas_diskin_nishikawa:CandF2010,
     author = {J. L. Thomas and B. Diskin and H. Nishikawa},
      title = {A Critical Study Agglomerated Multigrid Methods for Diffusion 
on Highly-Stretched Grids},
  journal = {Computers and Fluids}
     year = 2010,
   volume = 40,
   number = 1,
    month = February,
    pages = {82-93}
}



@article{nishikawa_JCP2012_accepted_manuscript,
title = "Divergence Formulation of Source Term",
journal = "Journal of Computational Physics",
volume = "",
number = "0",
pages = " - ",
year = "2012",
note = "",
issn = "0021-9991",
doi = "10.1016/j.jcp.2012.05.032",
url = "http://www.sciencedirect.com/science/article/pii/S0021999112003014?v=s5",
author = "Hiroaki Nishikawa",
keywords = "Finite-volume",
keywords = "Source term",
keywords = "High-order",
keywords = "Triangular grid",
keywords = "Uniform accuracy"
}



@Article{nishikawa_diffusion_II_JCP2010,
   author = {H. Nishikawa},
    title = {A First-Order System Approach for Diffusion Equation. {II}:
    {U}nification of Advection and Diffusion}, 
  journal = {Journal of Computational Physics},
     year = 2010,
   volume = 229,
    pages = {3989-4016}
}



@Article{nishikawa_diskin_thomas:AIAAJ2010,
     author = {H. Nishikawa and B. Diskin and J. L. Thomas},
      title = {Critical Study Agglomerated Multigrid Methods for Diffusion},
  journal = {AIAA Journal},
     year = 2010,
   volume = 48,
   number = 4,
    month = April,
    pages = {839-847}
}



@InProceedings{nishikawa_future_NS:AIAA2009,
     author = {Hiroaki Nishikawa},
      title = {Towards Future {N}avier-{S}tokes Schemes: Uniform Accuracy, {$O(h)$} time step, and Accurate Viscous/Heat Fluxes},
  booktitle = {19th {AIAA} Computational Fluid Dynamics Conference},
     series = {{AIAA} Paper 2009-3648},
    address = {San Antonio},
       year = 2009
}



@InProceedings{nishikawa_diskin_thomas:AIAA2009,
     author = {H. Nishikawa and B. Diskin and J. L. Thomas},
      title = {A Critical Study Agglomerated Multigrid Methods for Diffusion},
  booktitle = {19th {AIAA} Computational Fluid Dynamics Conference},
     series = {{AIAA} Paper 2009-4138},
    address = {San Antonio},
       year = 2009
}



@Article{nishikawa_diskin_thomas:AIAAJ2010,

     author = {B. Diskin and J. L. Thomas and E. J. Nielsen and H. Nishikawa and J. A. White},
      title = {Comparison of Node-Centered and Cell-Centered Unstructured 
Finite-Volume Discretizations: Viscous Fluxes},
  journal = {AIAA Journal},
     year = 2010,
   volume = 48,
   number = 7,
    month = July,
    pages = {1326-1338}
}



@InProceedings{nn_cc_comparison_viscous:AIAA2009,
     author = {B. Diskin and J. L. Thomas and E. J. Nielsen and H. Nishikawa and J. A. White},
      title = {Comparison of Node-Centered and Cell-Centered Unstructured 
Finite-Volume Discretizations. {P}art {I}: Viscous Fluxes},
  booktitle = {47th {AIAA} Aerospace Sciences Meeting},
     series = {{AIAA} Paper 2009-597},
    address = {Orlando},
      month = January,
       year = 2009
}



@Article{nishikawa_adaptive_quadrature:IJNMF,
   author = {Hiroaki Nishikawa},
    title = {Adaptive Quadrature Fluctuation-Splitting Schemes for the {E}uler Equations},
  journal = {International Journal for Numerical Methods in Fluids},
     year = 2008,
   volume = 57,
    pages = {1-12}
}



@Article{nishikawa_kitamura_JCP2007,
   author = {H. Nishikawa and K. Kitamura},
    title = {Very Simple, Carbuncle-Free, Boundary-Layer Resolving, Rotated-Hybrid {R}iemann Solvers}, 
  journal = {Journal of Computational Physics},
     year = 2007,
   volume = 227,
    pages = {2560-2581}
}



@Article{nishikawa_diffusion_I_JCP2007,
   author = {H. Nishikawa},
    title = {A First-Order System Approach for Diffusion Equation. {I}: {S}econd-Order Residual-Distribution Schemes}, 
  journal = {Journal of Computational Physics},
     year = 2007,
   volume = 227,
    pages = {315-352}
}



@Article{nishikawa_multigrid_cr:IJNMF,
   author = {H. Nishikawa},
    title = {Multigrid Third-Order Least-Squares Solution of {C}auchy-{R}iemann Equations on Unstructured Triangular Grids},
  journal = {International Journal for Numerical Methods in Fluids},
     year = 2007,
   volume = 53,
    pages = {443-454}
}



@InProceedings{nishikawa_roe:ICCFD_2006,
     author = {H. Nishikawa and P. L. Roe},
      title = {High-Order Fluctuation-Splitting Schemes for Advection-Diffusion Equations},
  booktitle = {Computational Fluid Dynamics 2006: Proceedings of the Fourth International Conference on Computational Fluid Dynamics, Ghent, Belgium, 10-14 July 2006},
  publisher = {Springer},
     editor = {H. Deconinck and E. Dick},
      pages = {77-82},
       year = 2006
}



@InProceedings{ismail_roe_nishikawa:ICCFD_2006,
     author = {F. Ismail and P. L. Roe and H. Nishikawa},
      title = {A Proposed Cure to the Carbuncle Phenomenon},
  booktitle = {Computational Fluid Dynamics 2006: Proceedings of the Fourth International Conference on Computational Fluid Dynamics, Ghent, Belgium, 10-14 July 2006},
  publisher = {Springer},
     editor = {H. Deconinck and E. Dick},
      pages = {149-154},
       year = 2006
}



@InCollection{nishikawa:VKI_LS_2005,
     author = {Hiroaki Nishikawa},
      title = {Higher-Order Discretization of Diffusion Terms in Residual-Distribution Methods},
  booktitle = {34th {VKI} {CFD} Lecture Series Very-High Order Discretization Methods}, 
  publisher = {VKI Lecture Series},
       year = 2005
}



@InProceedings{nishikawa_roe_p2_LDA:AIAA2005,
     author = {H. Nishikawa and P. L. Roe},
      title = {Towards High-Order Fluctuation-Splitting Schemes for {N}avier-{S}tokes Equations},
  booktitle = {17th {AIAA} Computational Fluid Dynamics Conference},
     series = {{AIAA} Paper 2005-5244},
    address = {Toronto},
       year = 2005
}



@InProceedings{roe_nishikawa_students_carbuncle:AIAA2005,
     author = {P. Roe and H. Nishikawa and F. Ismail and L. Scalabrin},
      title = {On Carbuncles and Other Excrescences},
  booktitle = {17th {AIAA} Computational Fluid Dynamics Conference},
     series = {{AIAA} Paper 2005-4872},
    address = {Toronto},
       year = 2005
}



@InProceedings{nishikawa_roe:ICCFD_2004,
     author = {H. Nishikawa and P. L. Roe},
      title = {On High-Order Fluctuation-Splitting Schemes for {N}avier-{S}tokes Equations},
  booktitle = {Computational Fluid Dynamics 2004: proceedings of the Third International Conference on Computational Fluid Dynamics, ICCFD3, Toronto, 12-16 July 2004},
  publisher = {Springer-Verlag},
     editor = {C. Groth and D. W. Zingg},
      pages = {799-804},
       year = 2004
}



@Book{idolikecfdvol1_1st,
  author = {Katate Masatsuka},
   title = {I Do Like {CFD}, {V}ol. 1},
    year = 2009
}



@Article{nishikawa_van_leer_JCP_2003,
   author = {H. Nishikawa and B. {van Leer}},
    title = {Optimal Multigrid Convergence by Elliptic/Hyperbolic Splitting},
  journal = {Journal of Computational Physics},
     year = 2003,
   volume = 190,
    pages = {52-63}
} 



@InProceedings{theory_local_preconditioning_MHD:AIAA2003,
     author = {H. Nishikawa and P. Roe and Y. Suzuki and B. van Leer},
      title = {A General Theory of Local Preconditioning and Its Application to the {2D} Ideal {MHD} Equations},
  booktitle = {16th {AIAA} Computational Fluid Dynamics Conference},
     series = {{AIAA} Paper 2003-3704},
    address = {Orlando},
      month = June,
       year = 2003
}



@InProceedings{roe_kabin_nishikawa:AIAA2002,
     author = {P. L. Roe and K. Kabin and H. Nishikawa},
      title = {Toward A General Theory of Local Preconditioning},
  booktitle = {32nd {AIAA} Fluid Dynamics Conference},
     series = {{AIAA} Paper 2002-2956},
    address = {St. Louis},
      month = June,
       year = 2002
}



@Article{roe_nishikawa:IJNMF2002,
   author = {P. L. Roe and H. Nishikawa},
    title = {Adaptive Grid Generation by Minimising Residuals},
  journal = {International Journal for Numerical Methods in Fluids},
     year = 2002,
   volume = 40,
    pages = {121-136}
}



@InProceedings{nishikawa_rad_roe:AIAA2001,
     author = {H. Nishikawa and M. Rad and P. Roe},
      title = {A Third-Order Fluctuation-Splitting Scheme That Preserves Potential Flow},
  booktitle = {15th {AIAA} Computational Fluid Dynamics Conference},
     series = {{AIAA} Paper 01-2595},
    address = {Anaheim},
      month = June,
       year = 2001
}



@PhdThesis{nishikawa:phd,
   author = {H. Nishikawa},
    title = {On Grids and Solutions from Residual Minimization},
   school = {Department of Aerospace Engineering, University of Michigan},
    month = August,
     year = 2001,
  address = {Ann Arbor, Michigan}
}



@InProceedings{nishikawa_rad_roe:ICCFD2000,
     author = {H. Nishikawa and M. Rad and P. L. Roe},
      title = {Grids and Solutions from Residual Minimisation},
  booktitle = {Computational Fluid Dynamics 2000: Proceedings of the First International Conference on Computational Fluid Dynamics, Kyoto, Japan, 10-14 July 2000},
     editor = {N. Satofuka},
  publisher = {Springer-Verlag},
      pages = {119-124},
       year =  2001
}



@InProceedings{rad_nishikawa_roe:ICCFD2000,
     author = {M. Rad and H. Nishikawa and P. L. Roe},
      title = {Some Properties of Residual Distribution Schemes for the {E}uler Equations},
  booktitle = {Computational Fluid Dynamics 2000: Proceedings of the First International Conference on Computational Fluid Dynamics, Kyoto, Japan, 10-14 July 2000},
     editor = {N. Satofuka},
  publisher = {Springer-Verlag},
      pages = {379-384},
       year = 2001
}



@Article{nishikawa1998,
   author = {Hiroaki Nishikawa},
    title = {Second-Order L2 Error Estimates for Piecewise Linear Approximation in One Dimension},
  journal = {Unpublished},
     year = 1998
}