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typos in docs
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SKopecz committed May 14, 2024
1 parent 849b2a0 commit 7c66a3c
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2 changes: 1 addition & 1 deletion src/PDSProblemLibrary.jl
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Expand Up @@ -92,7 +92,7 @@ u_2' &= 0.04u_1-10^4 u_2u_3-3⋅10^7 u_2^2,\\\\
u_3' &= 3⋅10^7 u_2^2,
\\end{aligned}
```
with initial value ``\\mathbf{u}_0 = (1.0, 0.0, 0.0)^T`` and time domain ``(0.0, 10^11)``.
with initial value ``\\mathbf{u}_0 = (1.0, 0.0, 0.0)^T`` and time domain ``(0.0, 10^{11})``.
There is one independent linear invariant, e.g. ``u_1+u_2+u_3 = 1.0``.
## References
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2 changes: 1 addition & 1 deletion src/mprk.jl
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Expand Up @@ -751,7 +751,7 @@ non-negative Runge--Kutta coefficients.
Each member of this family is a one-step method with four-stages which is
third-order accurate, unconditionally positivity-preserving, conservative and linearly
implicit. In this implementation the stage-values are conservative as well. The parameter `γ` must satisfy
`\\frac{3}{8}≤ γ\\frac{3}{4}`.
`3/8 ≤ γ ≤ 3/4`.
Further details are given in Kopecz and Meister (2018).
These modified Patankar-Runge-Kutta methods require the special structure of a
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