SciML / SciML/OrdinaryDiffEq.jl
Multistep Integrators for Second Order DiffEqs
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- Dominant language
- Julia
- Stars
- 684
- Forks
- 276
- Avg merge
- 1d 5h
- Merged PRs (30d)
- 198
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
First steps
- Read the whole issue, then the project's contributing guide.
- Comment on the issue to say you are picking it up — it saves two people doing the same work.
- Fork the repository and make your change on a branch.
- Open a pull request that references the issue number.
Research direction
No source files, tests, or entry points are identified in the issue. Start by reviewing the linked papers and the repository's existing integrator architecture to determine the required scope for Gauss-Jackson, Berry-Healy, and Stormer-Cowell methods. Done means the requested multistep second-order differential-equation integrators are implemented and validated against the project's solver expectations.
Written by the indexing model from the issue text.
Assessment
- Tech stack
- julia
- Domain
- performance
- Issue type
- Feature
- Difficulty
- 5/5
- Estimated time
- Over a week
- Activity status
- Stale
- Clarity
- Needs clarification
- Newbie friendliness
- 18/100