Bibliography¶
See also www.geoclaw.org for papers, posters, and other resources for GeoClaw.
Papers describing the Clawpack software and algorithms¶
[BaleLevMitRoss02]  D. S. Bale, R. J. LeVeque, S. Mitran, and J. A. Rossmanith. A wavepropagation method for conservation laws with spatially varying flux functions, SIAM J. Sci. Comput 24 (2002), 955978. @article{BaleLevMitRoss02,
Author = {D. Bale and R. J. LeVeque and S. Mitran and J. A. Rossmanith},
Title = {A wavepropagation method for conservation laws and balance laws
with spatially varying flux functions},
Journal = {SIAM J. Sci. Comput.},
Pages = {955978},
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 depthaveraged flows with adaptive refinement, Advances in Water Resources 34 (2011), pp. 11951206. @article{BergerGeorgeLeVequeMandli11,
Author = {M. J. Berger and D. L. George and R. J. LeVeque and K. T. Mandli},
Journal = {Adv. Water Res.},
Pages = {11951206},
Title = {The {GeoClaw} software for depthaveraged 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 WavePropagation 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 = {22982316},
Title = {Adaptive Mesh Refinement using WavePropagation 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 wavepropagation method for threedimensional hyperbolic conservation laws. J. Comput. Phys. 165, 126–166. @article{LangsethLeVeque00,
Author = {J. O. Langseth and R. J. LeVeque},
Title = {A wavepropagation method for threedimensional hyperbolic conservation laws},
Journal = {J. Comput. Phys.},
Pages = {126166},
Volume = {165},
Year = {2000}}

[LeVeque96]  R. J. LeVeque, 1996. Highresolution conservative algorithms for advection in incompressible flow, @article{LeVeque1996,
author="R. J. LeVeque",
title="Highresolution conservative algorithms for advection in
incompressible flow",
journal="SIAM J. Numer. Anal.",
volume="33",
year="1996",
pages="627665"
}

[LeVeque97]  R. J. LeVeque, 1997. Wave propagation algorithms for multidimensional hyperbolic systems. J. Comput. Phys. 131, 327–353.: @article{rjl:wpalg,
Author = {R. J. LeVeque},
Title = {Wave propagation algorithms for multidimensional hyperbolic systems},
Journal = {J. Comput. Phys.},
Pages = {327353},
Volume = {131},
Year = {1997}}

[LeVequeFVMHP]  R. J. LeVeque. Finite Volume Methods for Hyperbolic Problems. Cambridge University Press, Cambridge, UK, 2002. @book{LeVequeFVMHP,
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 of fvmbook applications 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. 211289. @article{mjbdgrjl: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 = {211289},
Year = {2011}}

[KetParLev13]  D. I. Ketcheson, Matteo Parsani, and R J LeVeque, 2013, Highorder Wave Propagation Algorithms for Hyperbolic Systems, SIAM Journal on Scientific Computing, 35(1):A351A377 (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):C210C231 @article{pyclawsisc,
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 = {C210C231},
Volume = {34},
Year = {2012}}

[MandliEtAl2016]  Kyle T. Mandli, Aron J. Ahmadia, Marsha Berger, Donna Calhoun, David L. George, Yiannis Hadjimichael, David I. Ketcheson, Grady I. Lemoine, Randall J. LeVeque, Clawpack: building an open source ecosystem for solving hyperbolic PDEs PeerJ Computer Science 2 (2016), e68: @article{mandli2016clawpack,
title={Clawpack: building an open source ecosystem for solving hyperbolic PDEs},
author={Mandli, Kyle T and Ahmadia, Aron J and Berger, Marsha and Calhoun, Donna
and George, David L and Hadjimichael, Yiannis and Ketcheson, David I
and Lemoine, Grady I and LeVeque, Randall J},
journal={PeerJ Computer Science},
volume={2},
pages={e68},
year={2016},
publisher={PeerJ Inc.},
doi={10.7717/peerjcs.68} }

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), 723752. 
[LeVeque09]  R. J. LeVeque. Python Tools for Reproducible Research on Hyperbolic Problems Computing in Science and Engineering (CiSE) 11(2009), pp. 1927. 
[LeVYon03]  R. J. LeVeque and Darryl H. Yong. Solitary Waves in Layered Nonlinear Media, SIAM J. Appl. Math 63 (2003) pp. 15391560. 
[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 = {8091},
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 = {3650}}

Note
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Other references¶
[Okada85]  Y. Okada. Surface deformation due to shear and tensile faults in a halfspace, Bull. Seism. Soc. Am.* 75 (1985), pp. 11351154. 