SciML/OrdinaryDiffEq.jl

Multistep Integrators for Second Order DiffEqs

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#331 opened on Apr 19, 2018

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Description

Gauss-Jackson: https://drum.lib.umd.edu/bitstream/handle/1903/2202/2004-berry-healy-jas.pdf?sequence=7 https://www.researchgate.net/publication/333300756_Accuracy_and_Efficiency_Comparison_of_Six_Numerical_Integrators_for_Propagating_Perturbed_Orbits

Berry-Healy: https://pdfs.semanticscholar.org/2166/2dcd9b7ece9f4abbb2e52154ae7a840ed0d6.pdf or https://pdfs.semanticscholar.org/4701/d1c3c9b1101c3e23b4472d4895aa5d7f9a51.pdf

Stormer-Cowell: http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.573.319&rep=rep1&type=pdf and https://www.sciencedirect.com/science/article/pii/S037704270400250X and https://www.sciencedirect.com/science/article/pii/0377042794001020

Hairer I has sections on the implicit and explicit Stromer methods as well.

Interesting related result: https://researchspace.auckland.ac.nz/bitstream/handle/2292/4980/449.pdf?sequence=1

Contributor guide

Research direction
Research the referenced papers and implement the Gauss Jackson, Berry Healy, and Stormer Cowell integrators for second order ODEs.
Tech stack
julia
Domain
backend
Issue type
Feature
DifficultyEstimated implementation difficulty for a new contributor, from 1 for very small changes to 5 for expert-level work.
3
Estimated timeA rough time range for an experienced contributor to investigate, implement, test, and prepare a pull request.
1-2 days
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Active
ClarityHow clearly the issue explains the expected change, acceptance criteria, and next step.
Needs investigation
Prerequisites
JuliaNumerical methods
Newbie friendlinessA 1-100 score estimating how approachable this issue is for first-time contributors.
25