references.bib

@article{Rannacher_1984,
  author = {R. Rannacher},
  title = {Finite element solution of diffusion problems with irregular data},
  journal = {Numerische Mathematik},
  year = {1984},
  volume = {43},
  pages = {309--327}
}

@book{Lapidus_Pinder_1982,
  author = {L. Lapidus and G. F. Pinder},
  title = {Numerical Solution of Partial Differential Equations in Science and Engineering},
  publisher = {Wiley},
  year = {1982}
}

@book{Strikwerda_2007,
  author = {J. Strikwerda},
  title = {Numerical Solution of Partial Differential Equations in Science and Engineering},
  publisher = {SIAM},
  year = {2007},
  edition = {second}
}

@book{LeVeque_2007,
  author = {R. LeVeque},
  title = {Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems},
  publisher = {SIAM},
  year = {2007}
}

@book{FletcherI_2013,
  author = {C. A. J. Fletcher},
  title = {Computational Techniques for Fluid Dynamics, Vol. 1: Fundamental and General Techniques},
  publisher = {Springer},
  year = {2013},
  edition = {second}
}

@book{Duran_2010,
  author = {D. Duran},
  title = {Numerical Methods for Fluid Dynamics - With Applications to Geophysics},
  publisher = {Springer},
  year = {2010},
  edition = {second}
}

@book{hjorten,
  author = {M. Hjorth-Jensen},
  title = {Computational Physics},
  publisher = {Institute of Physics Publishing},
  year = {2016},
  url = {https://www.physics.udel.edu/~bnikolic/teaching/phys660/PDF/computational_physics.pdf}
}

@book{Kelley_1995,
  author = {C. T. Kelley},
  title = {Iterative Methods for Linear and Nonlinear Equations},
  publisher = {SIAM},
  year = {1995}
}

@book{Grief_Ascher_2011,
  author = {C. Grief and U. M. Ascher},
  title = {A First Course in Numerical Methods},
  publisher = {SIAM},
  year = {2011},
  series = {Computational Science and Engineering}
}

@book{Templates_LA,
  author = {R. Barrett and M. Berry and T. F. Chan and J. Demmel and J. Donato and J. Dongarra and V. Eijkhout and R. Pozo and C. Romine and H. Van der Vorst},
  title = {Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods},
  publisher = {SIAM},
  year = {1994},
  edition = {second},
  url = {http://www.netlib.org/linalg/html_templates/Templates.html}
}

@book{Axelsson_1996,
  author = {O. Axelsson},
  title = {Iterative Solution Methods},
  publisher = {Cambridge University Press},
  year = {1996}
}

@book{Saad_2003,
  author = {Y. Saad},
  title = {Iterative Methods for Sparse Linear Systems},
  publisher = {SIAM},
  year = {2003},
  edition = {second},
  url = {http://www-users.cs.umn.edu/~saad/IterMethBook_2ndEd.pdf}
}

@book{Hairer_Wanner_Norsett_bookI,
  author = {E. Hairer and S. P. N{\o}rsett and G. Wanner},
  title = {Solving Ordinary Differential Equations I. Nonstiff Problems},
  publisher = {Springer},
  year = {1993}
}

@book{Langtangen_2012,
  author = {H. P. Langtangen},
  title = {A Primer on Scientific Programming with {P}ython},
  publisher = {Springer},
  year = {2016},
  series = {Texts in Computational Science and Engineering},
  edition = {Fifth}
}

@book{Langtangen_decay,
  author = {H. P. Langtangen},
  title = {Finite Difference Computing with Exponential Decay Models},
  publisher = {Springer},
  year = {2016},
  series = {Lecture Notes in Computational Science and Engineering},
  url = {http://hplgit.github.io/decay-book/doc/web/}
}

@book{Langtangen_scaling,
  author = {H. P. Langtangen and G. K. Pedersen},
  title = {Scaling of Differential Equations},
  publisher = {Springer},
  year = {2016},
  series = {Simula Springer Brief Series},
  url = {http://hplgit.github.io/scaling-book/doc/web/}
}

@article{devito-api,
  author = {Fabio Luporini and Mathias Louboutin and Michael Lange and Navjot Kukreja and Philipp Witte and Jan H{\"u}ckelheim and Charles Yount and Paul H. J. Kelly and Felix J. Herrmann and Gerard J. Gorman},
  title = {{Architecture and Performance of Devito, a System for Automated Stencil Computation}},
  journal = {ACM Transactions on Mathematical Software},
  year = {2020},
  volume = {46},
  number = {1},
  pages = {1--28},
  doi = {10.1145/3374916}
}

@article{devito-seismic,
  author = {Mathias Louboutin and Michael Lange and Fabio Luporini and Navjot Kukreja and Philipp A. Witte and Felix J. Herrmann and Paulius Velesko and Gerard J. Gorman},
  title = {{Devito (v3.1.0)}: an embedded domain-specific language for finite differences and geophysical exploration},
  journal = {Geoscientific Model Development},
  year = {2019},
  volume = {12},
  pages = {1165--1187},
  doi = {10.5194/gmd-12-1165-2019}
}

% =============================================================================
% Electromagnetics / FDTD References
% =============================================================================

@article{yee1966,
  author = {K. S. Yee},
  title = {Numerical solution of initial boundary value problems involving {Maxwell's} equations in isotropic media},
  journal = {IEEE Transactions on Antennas and Propagation},
  year = {1966},
  volume = {14},
  number = {3},
  pages = {302--307},
  doi = {10.1109/TAP.1966.1138693}
}

@article{taflove_brodwin1975,
  author = {A. Taflove and M. E. Brodwin},
  title = {Numerical solution of steady-state electromagnetic scattering problems using the time-dependent {Maxwell's} equations},
  journal = {IEEE Transactions on Microwave Theory and Techniques},
  year = {1975},
  volume = {23},
  number = {8},
  pages = {623--630},
  doi = {10.1109/TMTT.1975.1128640}
}

@article{taflove1980,
  author = {A. Taflove},
  title = {Application of the finite-difference time-domain method to sinusoidal steady-state electromagnetic-penetration problems},
  journal = {IEEE Transactions on Electromagnetic Compatibility},
  year = {1980},
  volume = {22},
  number = {3},
  pages = {191--202},
  doi = {10.1109/TEMC.1980.303879}
}

@article{berenger1994,
  author = {J.-P. Berenger},
  title = {A perfectly matched layer for the absorption of electromagnetic waves},
  journal = {Journal of Computational Physics},
  year = {1994},
  volume = {114},
  pages = {185--200},
  doi = {10.1006/jcph.1994.1159}
}

@article{roden_gedney2000,
  author = {J. A. Roden and S. D. Gedney},
  title = {Convolution {PML} ({CPML}): An efficient {FDTD} implementation of the {CFS-PML} for arbitrary media},
  journal = {Microwave and Optical Technology Letters},
  year = {2000},
  volume = {27},
  number = {5},
  pages = {334--339},
  doi = {10.1002/1098-2760(20001205)27:5<334::AID-MOP14>3.0.CO;2-A}
}

@article{monk_suli1994,
  author = {P. Monk and E. S\"uli},
  title = {Error estimates for {Yee's} method on non-uniform grids},
  journal = {IEEE Transactions on Magnetics},
  year = {1994},
  volume = {30},
  number = {5},
  pages = {3200--3203},
  doi = {10.1109/20.312618}
}

@book{roache2009,
  author = {P. J. Roache},
  title = {Fundamentals of Verification and Validation},
  publisher = {Hermosa Publishers},
  year = {2009}
}

@article{roy2005,
  author = {C. J. Roy},
  title = {Review of code and solution verification procedures for computational simulation},
  journal = {Journal of Computational Physics},
  year = {2005},
  volume = {205},
  number = {1},
  pages = {131--156},
  doi = {10.1016/j.jcp.2004.10.036}
}

@book{oberkampf2010,
  author = {W. L. Oberkampf and C. J. Roy},
  title = {Verification and Validation in Scientific Computing},
  publisher = {Cambridge University Press},
  year = {2010},
  doi = {10.1017/CBO9780511760396}
}


@article{warren2016_gprmax,
  author = {C. Warren and A. Giannopoulos and I. Giannakis},
  title = {{gprMax}: Open source software to simulate electromagnetic wave propagation for Ground Penetrating Radar},
  journal = {Computer Physics Communications},
  year = {2016},
  volume = {209},
  pages = {163--170},
  doi = {10.1016/j.cpc.2016.08.020}
}

% Clayton-Engquist and Higdon ABC references
@article{clayton_engquist1977,
  author = {R. Clayton and B. Engquist},
  title = {Absorbing boundary conditions for acoustic and elastic wave equations},
  journal = {Bulletin of the Seismological Society of America},
  year = {1977},
  volume = {67},
  number = {6},
  pages = {1529--1540}
}

@article{enquist_majda1977,
  author = {B. Engquist and A. Majda},
  title = {Absorbing boundary conditions for the numerical simulation of waves},
  journal = {Mathematics of Computation},
  year = {1977},
  volume = {31},
  pages = {629--651},
  doi = {10.1090/S0025-5718-1977-0436612-4}
}

@article{higdon1986,
  author = {R. L. Higdon},
  title = {Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation},
  journal = {Mathematics of Computation},
  year = {1986},
  volume = {47},
  number = {176},
  pages = {437--459},
  doi = {10.1090/S0025-5718-1986-0856696-4}
}

@article{higdon1987,
  author = {R. L. Higdon},
  title = {Numerical absorbing boundary conditions for the wave equation},
  journal = {Mathematics of Computation},
  year = {1987},
  volume = {49},
  number = {179},
  pages = {65--90},
  doi = {10.1090/S0025-5718-1987-0890254-1}
}

@article{mur1981,
  author = {G. Mur},
  title = {Absorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic-field equations},
  journal = {IEEE Trans. Electromagn. Compat.},
  year = {1981},
  volume = {23},
  number = {4},
  pages = {377--382},
  doi = {10.1109/TEMC.1981.303970}
}

@article{cerjan1985,
  author = {C. Cerjan and D. Kosloff and R. Kosloff and M. Reshef},
  title = {A nonreflecting boundary condition for discrete acoustic and elastic wave equations},
  journal = {Geophysics},
  year = {1985},
  volume = {50},
  number = {4},
  pages = {705--708},
  doi = {10.1190/1.1441945}
}

@article{sochacki1987,
  author = {J. Sochacki and R. Kubichek and J. George and W. R. Fletcher and S. Smithson},
  title = {Absorbing boundary conditions and surface waves},
  journal = {Geophysics},
  year = {1987},
  volume = {52},
  number = {1},
  pages = {60--71},
  doi = {10.1190/1.1442241}
}

@article{grote_sim2010,
  author = {M. J. Grote and I. Sim},
  title = {Efficient {PML} for the wave equation},
  journal = {arXiv preprint arXiv:1001.0319},
  year = {2010},
  url = {https://arxiv.org/abs/1001.0319}
}

@article{dolci2022,
  author = {D. I. Dolci and E. M. Schliemann and L. F. Souza and others},
  title = {Effectiveness and computational efficiency of absorbing boundary conditions for full-waveform inversion},
  journal = {Geoscientific Model Development},
  year = {2022},
  volume = {15},
  pages = {4077--4099},
  doi = {10.5194/gmd-15-5857-2022}
}

@article{liu_sen2018,
  author = {Y. Liu and M. K. Sen},
  title = {Hybrid absorbing boundary condition for piecewise smooth curved boundary in {2D} acoustic finite difference modelling},
  journal = {Exploration Geophysics},
  year = {2018},
  volume = {49},
  number = {4},
  pages = {469--483},
  doi = {10.1071/EG17012}
}