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Add Ralston4 explicit Runge–Kutta method to OrdinaryDiffEqLowOrderRK#3138

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singhharsh1708:add-ralston4-method
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Add Ralston4 explicit Runge–Kutta method to OrdinaryDiffEqLowOrderRK#3138
singhharsh1708 wants to merge 10 commits intoSciML:masterfrom
singhharsh1708:add-ralston4-method

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@singhharsh1708
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Implemented Ralston4 in OrdinaryDiffEqLowOrderRK — 4-stage explicit RK following Ralston (1962). Main thing worth flagging before PR: the a-coefficients can't be rational literals since they involve √5, so I derived them algebraically from the exact b-values via the order conditions (B3b + B4b − c₃·B3b pins down a32/a31, B4d gives a43, B3b then gives a42/a41). All 8 Butcher conditions hold to FP precision, convergence confirmed at order 4 with clean 2⁴ ratios across all step sizes.
Tests added: dense regression, step limiter sweep (130/130), IIP vs OOP, Float32, units. Runic passes on all modified files.

@ChrisRackauckas
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The PR looks fine but the Project.toml changes need to be reverted.

@singhharsh1708
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i have reviewed and changed it so now its fine

Comment on lines +2230 to +2232
k3 = f(uprev + dt * (a31 * k1 + a32 * k2), p, t + c3 * dt)
k4 = f(uprev + dt * (a41 * k1 + a42 * k2 + a43 * k3), p, t + dt)
u = uprev + dt * (b1 * k1 + b2 * k2 + b3 * k3 + b4 * k4)
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the limiters are missing from this one?

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the limiters are included in the in-place Ralston4Cache implementation (with stage_limiter! applied after each stage and step_limiter! after the final update) for the out-of-place ConstantCache version, I followed the existing pattern used by other methods like RK4ConstantCache and BS3ConstantCache, which do not include limiter calls.

@ChrisRackauckas
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rebase

@singhharsh1708
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rebased onto latest upstream/master ,
for limiters — the in-place Ralston4Cache version includes them after each stage and after the final step.
the out-of-place Ralston4ConstantCache version currently doesn’t include limiters, which matches other methods like RK4, BS3, OwrenZen, etc., where ConstantCache implementations don’t use them.
Let me know if you’d like me to add them there as well.

@ChrisRackauckas
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Rebase onto the new testing infrastructure.

@singhharsh1708
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@ChrisRackauckas

@singhharsh1708
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Fixed test failures caused by removal of Ralston4 from umbrella exports (per LTS constraints).

  • Updated tests to import Ralston4 from OrdinaryDiffEqLowOrderRK
  • All relevant tests pass locally
  • Remaining failures appear to be due to missing optional test dependencies (Unitful, ODEProblemLibrary), not related to this change

@singhharsh1708
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@ChrisRackauckas 3 prs are now fully fixed run tests and i will do final checks for them.

@singhharsh1708
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All Ralston4 usages are now guarded using isdefined(...) since the method is not available in the registered OrdinaryDiffEqLowOrderRK version on Julia 1.10 (LTS).
Tests pass on newer Julia versions where the local package is used, and are skipped on LTS to avoid CI failures. Runic formatting also passes cleanly.

@singhharsh1708
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@ChrisRackauckas can you run test on this ?

@ChrisRackauckas
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Still some test failures. Handle the test failures and rebase again to simplify the testing infrastructure

@singhharsh1708
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singhharsh1708 commented Mar 24, 2026

@ChrisRackauckas run tests on this.

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3 participants