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@article{kroese2014monte,
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volume={6},
number={6},
pages={386--392},
year={2014},
publisher={Wiley Online Library}
}
@book{shonkwiler2009explorations,
title={Explorations in Monte Carlo Methods},
author={Shonkwiler, Ronald W and Mendivil, Franklin},
year={2009},
publisher={Springer Science \& Business Media}
}
@book{Wirth:1978:ADS:540029,
author = {Wirth, Niklaus},
title = {Algorithms + Data Structures = Programs},
year = {1978},
isbn = {0130224189},
publisher = {Prentice Hall PTR},
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}
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title={The art of computer programming: Fundamental Algorithms },
author={Knuth, Donald Ervin},
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@book{knuth1997art2,
title={The art of computer programming: Seminumerical Algorithms },
author={Knuth, Donald Ervin},
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@ARTICLE{4610935,
author={},
journal={{IEEE} Std 754-2008},
title={{IEEE Standard for Floating-Point Arithmetic}},
year={2008},
volume={},
number={},
pages={1-70},
keywords={floating point arithmetic;IEEE standards;programming;IEEE standard;decimal floating-point arithmetic;computer programming;arithmetic formats;754-2008;arithmetic;binary;computer;decimal;exponent;floating-point;format;interchange;NaN;number;rounding;significand;subnormal},
doi={10.1109/IEEESTD.2008.4610935},
ISSN={},
month={Aug},}
@book{aarseth2003gravitational,
title={Gravitational N-body simulations: tools and algorithms},
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}
@book{aarseth2008cambridge,
title={The Cambridge N-body lectures},
author={Aarseth, Sverre and Tout, Christopher and Mardling, Rosemary},
volume={760},
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@article{mohr2016codata,
title={CODATA recommended values of the fundamental physical constants: 2014},
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}
@book{newton1833philosophiae,
title={Philosophiae naturalis principia mathematica},
author={Newton, Isaac},
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title={Finite difference schemes and partial differential equations},
author={Strikwerda, John C},
volume={88},
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@book{leveque2007finite,
title={Finite difference methods for ordinary and partial differential equations: steady-state and time-dependent problems},
author={LeVeque, Randall J},
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@book{euler1824institutionum,
title={Institutionum calculi integralis},
author={Euler, Leonhard},
volume={1},
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@inproceedings{crank1947practical,
title={A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type},
author={Crank, John and Nicolson, Phyllis},
booktitle={Mathematical Proceedings of the Cambridge Philosophical Society},
volume={43},
number={1},
pages={50--67},
year={1947},
organization={Cambridge University Press}
}
@article{barnes1986hierarchical,
title={A hierarchical O (N log N) force-calculation algorithm},
author={Barnes, Josh and Hut, Piet},
journal={nature},
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pages={446},
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@book{el2005advanced,
title={Advanced computer architecture and parallel processing},
author={El-Rewini, Hesham and Abd-El-Barr, Mostafa},
volume={42},
year={2005},
publisher={John Wiley \& Sons}
}
@book{hager2010introduction,
title={Introduction to high performance computing for scientists and engineers},
author={Hager, Georg and Wellein, Gerhard},
year={2010},
publisher={CRC Press}
}
@inproceedings{amdahl1967validity,
title={Validity of the single processor approach to achieving large scale computing capabilities},
author={Amdahl, Gene M},
booktitle={Proceedings of the April 18-20, 1967, spring joint computer conference},
pages={483--485},
year={1967},
organization={ACM}
}
@book{0072822562,
Author = {Michael Quinn},
Title = {Parallel Programming in C with MPI and OpenMP},
Publisher = {McGraw-Hill Science/Engineering/Math},
Year = {2003},
ISBN = {0072822562}
}
@article{flynn1972some,
title={Some computer organizations and their effectiveness},
author={Flynn, Michael J},
journal={IEEE transactions on computers},
volume={100},
number={9},
pages={948--960},
year={1972},
publisher={IEEE}
}
@article{duncan1990survey,
title={A survey of parallel computer architectures},
author={Duncan, Ralph},
journal={Computer},
volume={23},
number={2},
pages={5--16},
year={1990},
publisher={IEEE}
}
@Book{williams2012c++,
author = {Williams, Anthony},
title = {C++ concurrency in action : practical multithreading},
publisher = {Manning},
year = {2012},
address = {Shelter Island, NY},
isbn = {9781933988771}
}
@book{liu2013continuum,
title={Continuum mechanics},
author={Liu, I-Shih},
year={2013},
publisher={Springer Science \& Business Media}
}
@article{doi:10.1137/110830125,
author = {Iglberger, K. and Hager, G. and Treibig, J. and Rüde, U.},
title = {Expression Templates Revisited: A Performance Analysis of Current Methodologies},
journal = {SIAM Journal on Scientific Computing},
volume = {34},
number = {2},
pages = {C42-C69},
year = {2012},
doi = {10.1137/110830125},
URL = {
https://doi.org/10.1137/110830125
},
eprint = {
https://doi.org/10.1137/110830125
}
}
@INPROCEEDINGS{6266939,
author={K. {Iglberger} and G. {Hager} and J. {Treibig} and U. {Rüde}},
booktitle={2012 International Conference on High Performance Computing Simulation (HPCS)},
title={High performance smart expression template math libraries},
year={2012},
volume={},
number={},
pages={367-373},
keywords={C++ language;libraries;linear algebra;mathematics computing;simulation;software maintenance;software packages;user interfaces;smart expression template;linear algebra libraries;numerical packages;simulation packages;large scale simulation;software maintenance;software modification;software framework;C++ expression templates;intuitive user interface;HPC-grade performance;C++ math libraries;Libraries;Vectors;Kernel;Benchmark testing;Optimization;Standards;Syntactics},
doi={10.1109/HPCSim.2012.6266939},
ISSN={},
month={July},}
@misc{hefferonlinear,
title={Linear Algebra, released under the GNU Free Documentation License},
author={Hefferon, Jim}
}
@book{scheick1997linear,
title={Linear algebra with applications},
author={Scheick, John T},
volume={81},
year={1997},
publisher={McGraw-Hill New York}
}
@book{barrett1994templates,
title={Templates for the solution of linear systems: building blocks for iterative methods},
author={Barrett, Richard and Berry, Michael W and Chan, Tony F and Demmel, James and Donato, June and Dongarra, Jack and Eijkhout, Victor and Pozo, Roldan and Romine, Charles and Van der Vorst, Henk},
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title={Methods of conjugate gradients for solving linear systems},
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@book{briggs2000multigrid,
title={A multigrid tutorial},
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@misc{shewchuk1994introduction,
title={An introduction to the conjugate gradient method without the agonizing pain},
author={Shewchuk, Jonathan Richard and others},
year={1994},
publisher={Carnegie-Mellon University. Department of Computer Science}
}
@book{butenhof1997programming,
title={Programming with POSIX threads},
author={Butenhof, David R},
year={1997},
publisher={Addison-Wesley Professional}
}
@book{kleiman1996programming,
title={Programming with threads},
author={Kleiman, Steve and Shah, Devang and Smaalders, Bart},
year={1996},
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@book{cannon1984one,
title={The one-dimensional heat equation},
author={Cannon, John Rozier},
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@book{adams2017hitchhiker,
title={The Hitchhiker's Guide to the Galaxy Omnibus: A Trilogy in Five Parts},
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@article{dijkstra1962over,
title={Over de sequentialiteit van procesbeschrijvingen},
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@book{downey2008little,
title={The little book of semaphores},
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booktitle = {14th International Conference on Applied Computing},
title = {{Zero Copy Serialization using RMA in the Distributed Task-Based HPX runtime}},
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Heller, Thomas and
Bikineev, Anton and
Kaiser, Hartmut},
year = {2017},
publisher = {IADIS, International Association for Development of the Information Society},
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@inproceedings{kaiser2014hpx,
title={Hpx: A task based programming model in a global address space},
author={Kaiser, Hartmut and Heller, Thomas and Adelstein-Lelbach, Bryce and Serio, Adrian and Fey, Dietmar},
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@inproceedings{kaiser2009parallex,
title={Parallex an advanced parallel execution model for scaling-impaired applications},
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@book{o2017mastering,
title={Mastering the C++ 17 STL: Make full use of the standard library components in C++ 17},
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@article{matsumoto1998mersenne,
title={Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator},
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title={The pragmatic programmer},
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@article{sommerville2011software,
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