Bibliography

Papers describing the Clawpack software and algorithms

BaleLevMitRoss02

D. S. Bale, R. J. LeVeque, S. Mitran, and J. A. Rossmanith. A wave-propagation method for conservation laws with spatially varying flux functions, SIAM J. Sci. Comput 24 (2002), 955-978.

@article{BaleLevMitRoss02,
    Author = {D. Bale and R. J. LeVeque and S. Mitran and J. A. Rossmanith},
    Title = {A wave-propagation method for conservation laws and balance laws
            with spatially varying flux functions},
    Journal = {SIAM J. Sci. Comput.},
    Pages = {955--978},
    Volume = {24},
    Year = {2002}}
BergerColella89

M. J. Berger and P Colella. 1989. Local adaptive mesh refinement for shock hydrodynamics. J. Comput. Phys. 82, 64–84.

BergerGeorgeLeVequeMandli11

M. J. Berger, D. L. George, R. J. LeVeque and K. M. Mandli, The GeoClaw software for depth-averaged flows with adaptive refinement, Advances in Water Resources 34 (2011), pp. 1195-1206.

@article{BergerGeorgeLeVequeMandli11,
 Author = {M. J. Berger and D. L. George and R. J. LeVeque and K. T.  Mandli},
 Journal = {Adv. Water Res.},
 Pages = {1195-1206},
 Title = {The {GeoClaw} software for depth-averaged flows with adaptive refinement},
 Volume = {34},
 Year = {2011},
 Url = {\url{www.clawpack.org/links/papers/awr11}}}
BergerLeVeque98

M. J. Berger and R. J. LeVeque. 1998. Adaptive Mesh Refinement using Wave-Propagation Algorithms for Hyperbolic Systems. SIAM J. Numer. Anal. 35, 2298–2316.

@article{BergerLeVeque98,
    Author = {M. J. Berger and R. J. LeVeque},
    Journal = {SIAM J. Numer. Anal.},
    Pages = {2298--2316},
    Title = {Adaptive Mesh Refinement using Wave-Propagation Algorithms for Hyperbolic Systems},
    Volume = {35},
    Year = {1998}}
BergerOliger84

M. J. Berger and J. Oliger. 1984. Adaptive mesh refinement for hyperbolic partial differential equations. J. Comput. Phys. 53, 484–512.

BergerRigoutsis91

M. J. Berger and I. Rigoutsos. 1991. An Algorithm for Point Clustering and Grid Generation. IEEE Trans. Sys. Man & Cyber. 21, 1278–1286.

LangsethLeVeque00

J. O. Langseth and R. J. LeVeque. 2000. A wave-propagation method for three-dimensional hyperbolic conservation laws. J. Comput. Phys. 165, 126–166.

@article{LangsethLeVeque00,
    Author = {J. O. Langseth and R. J. LeVeque},
    Title = {A wave-propagation method for three-dimensional hyperbolic conservation laws},
    Journal = {J. Comput. Phys.},
    Pages = {126--166},
    Volume = {165},
    Year = {2000}}
LeVeque96

R. J. LeVeque, 1996. High-resolution conservative algorithms for advection in incompressible flow,

@article{LeVeque1996,
  author="R. J. LeVeque",
  title="High-resolution conservative algorithms for advection in
  incompressible flow",
  journal="SIAM J. Numer. Anal.",
  volume="33",
  year="1996",
  pages="627-665"
}
LeVeque97

R. J. LeVeque, 1997. Wave propagation algorithms for multi-dimensional hyperbolic systems. J. Comput. Phys. 131, 327–353.:

@article{rjl:wpalg,
    Author = {R. J. LeVeque},
    Title = {Wave propagation algorithms for multi-dimensional hyperbolic systems},
    Journal = {J. Comput. Phys.},
    Pages = {327--353},
    Volume = {131},
    Year = {1997}}
LeVeque-FVMHP

R. J. LeVeque. Finite Volume Methods for Hyperbolic Problems. Cambridge University Press, Cambridge, UK, 2002.

@book{LeVeque-FVMHP,
    Author = {R. J. LeVeque},
    Title = {Finite Volume Methods for Hyperbolic Problems},
    Publisher = {Cambridge University Press},
    Year = {2002},
    Url = {http://www.clawpack.org/book.html}}

See gallery_fvmbook for some sample results from this book.

LeVequeGeorgeBerger

R. J. LeVeque, D. L. George, and M. J. Berger, 2011, Tsunami modelling with adaptively refined finite volume methods, Acta Numerica, pp. 211-289.

@article{mjb-dg-rjl:actanum2011,
    Author = {R.J. LeVeque  and D. L. George and M. J. Berger},
    Title = {Adaptive Mesh Refinement Techniques for Tsunamis and Other
            Geophysical Flows Over Topography},
    Journal = {Acta Numerica},
    Pages = {211-289},
    Year = {2011}}
KetParLev13

D. I. Ketcheson, Matteo Parsani, and R J LeVeque, 2013, High-order Wave Propagation Algorithms for Hyperbolic Systems, SIAM Journal on Scientific Computing, 35(1):A351-A377 (2013)

KetchesonMandliEtAl

David I. Ketcheson, Kyle T. Mandli, Aron J. Ahmadia, Amal Alghamdi, Manuel Quezada de Luna, Matteo Parsani, Matthew G. Knepley, and Matthew Emmett, 2012, PyClaw: Accessible, Extensible, Scalable Tools for Wave Propagation Problems, SIAM Journal on Scientific Computing, 34(4):C210-C231

@article{pyclaw-sisc,
    Author = {Ketcheson, David I. and Mandli, Kyle T. and Ahmadia, Aron J. and
        Alghamdi, Amal and {Quezada de Luna}, Manuel and Parsani, Matteo and
        Knepley, Matthew G. and Emmett, Matthew},
    Title = {{PyClaw: Accessible, Extensible, Scalable Tools for Wave Propagation Problems}},
    Journal = {SIAM Journal on Scientific Computing},
    Month = nov,
    Number = {4},
    Pages = {C210--C231},
    Volume = {34},
    Year = {2012}}

Papers describing applications

CalHelLeV08

D. A. Calhoun, C. Helzel, and R. J. LeVeque. Logically Rectangular Grids and Finite Volume Methods for PDEs in Circular and Spherical Domains, SIAM Review 50 (2008), 723-752.

LeVeque09

R. J. LeVeque. Python Tools for Reproducible Research on Hyperbolic Problems Computing in Science and Engineering (CiSE) 11(2009), pp. 19-27.

LeVYon03

R. J. LeVeque and Darryl H. Yong. Solitary Waves in Layered Nonlinear Media, SIAM J. Appl. Math 63 (2003) pp. 1539-1560.

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