# 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)- @article{KetParLev13,
Author = {Ketcheson, David I. and Parsani, Matteo and LeVeque, Randall J.}, Journal = {SIAM Journal on Scientific Computing}, Number = {1}, Pages = {A351–A377}, Title = {{High-order Wave Propagation Algorithms for Hyperbolic Systems}}, Volume = {35}, Year = {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.- Mandli13a
Mandli, K. T. A Numerical Method for the Two Layer Shallow Water Equations with Dry States.

*Ocean Modelling*72, 80–91 (2013).@article{Mandli:2013it, author = {Mandli, Kyle T}, title = {{A Numerical Method for the Two Layer Shallow Water Equations with Dry States}}, journal = {Ocean Modelling}, year = {2013}, volume = {72}, pages = {80--91}, month = aug }

- Mandli13b
Mandli, K. T. & Dawson, C. N. Adaptive Mesh Refinement for Storm Surge.

*Ocean Modelling*75, 36–50 (2014).@article{Mandli:ws, author = {Mandli, Kyle T and Dawson, Clint N}, title = {{Adaptive Mesh Refinement for Storm Surge}}, journal = {Ocean Modelling}, year = {2014}, volume = {75}, pages = {36--50}}

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## Other references¶

- Okada85
Y. Okada. Surface deformation due to shear and tensile faults in a half-space, Bull. Seism. Soc. Am.* 75 (1985), pp. 1135-1154.