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Tsitouras 5(4) method

According to : Runge–Kutta pairs of order 5(4) satisfying only the first column simplifying assumption also know as Tsitouras-2011 paper, I tried to integrate this method to Ponio. But the coefficients of this paper differ from those of Julia OrdinaryDiffEq.jl

Here my json file.

{
    "label": "RK Tsitouras 5(4)",
    "A": [
        [
            "0",
            "0",
            "0",
            "0",
            "0",
            "0",
            "0"
        ],
        [
            "0.161000000000000",
            "0",
            "0",
            "0",
            "0",
            "0",
            "0"
        ],
        [
            "-0.008480655492356989",
            "0.335480655492357",
            "0",
            "0",
            "0",
            "0",
            "0"
        ],
        [
            "2.8971530571054935",
            "-6.359448489975075",
            "4.3622954328695815",
            "0",
            "0",
            "0",
            "0"
        ],
        [
            "5.325864828439257",
            "-11.748883564062828",
            "7.4955393428898365",
            "-0.09249506636175525",
            "0",
            "0",
            "0"
        ],
        [
            "5.86145544294642",
            "-12.92096931784711",
            "8.159367898576159",
            "-0.07158497328140100",
            "-0.028269050394068383",
            "0",
            "0"
        ],
        [
            "0.09646076681806523",
            "0.0100000000000000",
            "0.4798896504144996",
            "1.379008574103742",
            "-3.290069515436081",
            "2.324710524099774",
            "0"
        ]
    ],
    "b": [
        "0.09646076681806523",
        "0.0100000000000000",
        "0.4798896504144996",
        "1.379008574103742",
        "-3.290069515436081",
        "2.324710524099774",
        "0"
    ],
    "c": [
        "0",
        "0.161000000000000",
        "0.327000000000000",
        "0.900000000000000",
        "0.9800255409045097",
        "1",
        "1"
    ],
    "b2": [
        "0.00178001105222577714",
        "0.0008164344596567469",
        "-0.007880878010262",
        "0.1447110071732629",
        "-0.5823571654525552",
        "0.45808210592918697",
        "1/66"
    ],
    "doi": "10.1016/j.camwa.2011.06.002"
}

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