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Clean up citations.
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16 changes: 8 additions & 8 deletions paper.bib
Original file line number Diff line number Diff line change
Expand Up @@ -9,7 +9,7 @@ @article{2012_optimal_stability_polynomials
}


@article{2009_monotonicity-glms,
@article{2009_monotonicity,
Author = {Ketcheson, David I.},
Journal = {Mathematics of Computation},
Month = sep,
Expand All @@ -25,7 +25,7 @@ @inproceedings{parsani-eccomas
Author = {Parsani, M and Ketcheson, D I and Deconinck, W},
Booktitle = {Proceedings of the European Congress on Computational Methods in Applied Sciences and Engineering},
Month = {September},
Title = {Explicit Runge-Kutta schemes for the spectral difference method applied to wave propagation problems},
Title = {Explicit {R}unge-{K}utta schemes for the spectral difference method applied to wave propagation problems},
Year = {2012}}


Expand All @@ -34,7 +34,7 @@ @inproceedings{Parsani_finnish
Booktitle = {Proceedings of the 11th Finnish Mechanics Days},
Month = {November},
Pages = {1--5},
Title = {{Optimized low-order explicit Runge-Kutta schemes for high- order spectral difference method}},
Title = {Optimized low-order explicit {R}unge-{K}utta schemes for high-order spectral difference method},
Year = {2012}}

@article{2013_sd_erk,
Expand All @@ -57,7 +57,7 @@ @article{2014_ssp_rkdg
Year = {2014}}

@article{conde2017implicit,
title={Implicit and implicit--explicit strong stability preserving Runge--Kutta methods with high linear order},
title={Implicit and implicit--explicit strong stability preserving {R}unge--{K}utta methods with high linear order},
author={Conde, Sidafa and Gottlieb, Sigal and Grant, Zachary J and Shadid, John N},
journal={Journal of Scientific Computing},
volume={73},
Expand Down Expand Up @@ -87,7 +87,7 @@ @article{christlieb2016explicit
}

@article{gottlieb2015optimal,
title={Optimal explicit strong stability preserving Runge--Kutta methods with high linear order and optimal nonlinear order},
title={Optimal explicit strong stability preserving {R}unge--{K}utta methods with high linear order and optimal nonlinear order},
author={Gottlieb, Sigal and Grant, Zachary and Higgs, Daniel},
journal={Mathematics of Computation},
volume={84},
Expand All @@ -108,7 +108,7 @@ @article{grant2019strong
}

@inproceedings{reynoso2017strong,
title={Strong stability preserving sixth order two-derivative Runge--Kutta methods},
title={Strong stability preserving sixth order two-derivative {R}unge--{K}utta methods},
author={Reynoso, Gustavo Franco and Gottlieb, Sigal and Grant, Zachary J},
booktitle={AIP Conference Proceedings},
volume={1863},
Expand Down Expand Up @@ -178,7 +178,7 @@ @article{2011_dwssp
Month = may,
Number = {4},
Pages = {1649},
Title = {{Step Sizes for Strong Stability Preservation with Downwind-Biased Operators}},
Title = {Step Sizes for Strong Stability Preservation with Downwind-Biased Operators},
Volume = {49},
Year = {2011}}

Expand All @@ -204,7 +204,7 @@ @article{2017_msrk


@article{conde2018embedded,
title={Embedded error estimation and adaptive step-size control for optimal explicit strong stability preserving Runge--Kutta methods},
title={Embedded error estimation and adaptive step-size control for optimal explicit strong stability preserving {R}unge--{K}utta methods},
author={Conde, Sidafa and Fekete, Imre and Shadid, John N},
journal={arXiv preprint arXiv:1806.08693},
year={2018}
Expand Down
16 changes: 8 additions & 8 deletions paper.md
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Expand Up @@ -12,15 +12,15 @@ authors:
- name: David I. Ketcheson^[Corresponding author.]
orcid: 0000-0002-1212-126X
affiliation: 1
- name: Hendrik Ranocha
orcid: 0000-0002-3456-2277
affiliation: 1
- name: Matteo Parsani
orcid: 0000-0001-7300-1280
affiliation: 1
- name: Aron Ahmadia
orcid: 0000-0002-2573-2481
affiliation: 2
- name: Hendrik Ranocha
orcid: 0000-0002-3456-2277
affiliation: 1
affiliations:
- name: King Abdullah University of Science and Technology
index: 1
Expand Down Expand Up @@ -117,7 +117,7 @@ involving downwind Runge-Kutta methods and low-storage Runge-Kutta methods.

Whereas the previous two subpackages are fairly general-purpose tools,
this package solves a very specific set of problems described in
[@]. Specifically, the provided routines determine the cofficients of
[@2009_monotonicity]. Specifically, the provided routines determine the cofficients of
multistep methods (including classes of general linear methods) with the
largest possible SSP coefficient (also known
as radius of absolute monotonicity). The corresponding optimization problem
Expand All @@ -137,17 +137,17 @@ more on their analysis. A common workflow involves generating new methods with
Some of the research projects that have made use of `RK-Opt` include development of:

- SSP Runge-Kutta methods
[@2008_explicit_ssp;@2009_implicit_ssp;@2013_effective_order_ssp;gottlieb2015optimal]
[@2008_explicit_ssp;@2009_implicit_ssp;@gottlieb2015optimal]
- SSP linear multistep methods [@2009_monotonicity]
- SSP general linear methods [@2011_tsrk;@2017_msrk]
- SSP IMEX Runge-Kutta methods [@conde2017implicit]
- Low-storage Runge-Kutta methods [@2010_LSRK]
- Optimal Runge-Kutta stability polynomials [@2012_optimal_stability_polynomials]
- Additive and downwind SSP Runge-Kutta methods [@2011_dwssp;@2018_perturbations]
- Optimal Runge-Kutta methods for specific PDE semi-discretizations [@parsani-eccomas;Parsani_finnish;2013_sd_erk;2014_ssp_rkdg]
- Embedded pairs for Runge-Kutta methods [@horvathembedded;@conde2018embedded]
- Optimal Runge-Kutta methods for specific PDE semi-discretizations [@parsani-eccomas;@Parsani_finnish;@2013_sd_erk;@2014_ssp_rkdg]
- Embedded pairs for Runge-Kutta methods [@conde2018embedded]
- Runge-Kutta methods with high weak stage order [@2018_wso]
- SSP multistage, multiderivative methods [@christlieb2016explicit;grant2019strong;reynoso2017strong]
- SSP multistage, multiderivative methods [@christlieb2016explicit;@grant2019strong;@reynoso2017strong]

As can be seen from this list, applications have mostly stemmed from the
work of the main developer's research group, but have since expanded
Expand Down

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