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A class of differential equations for testing variable step-size integration (Q1072355)

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scientific article; zbMATH DE number 3942937
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English
A class of differential equations for testing variable step-size integration
scientific article; zbMATH DE number 3942937

    Statements

    A class of differential equations for testing variable step-size integration (English)
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    1986
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    A new class of second-order nonlinear differential equations based on the harmonic equation is presented. These equations are particularly useful for testing the important features of variable step-size numerical integration methods. Accurate comparison of the performance of different integration methods can be made using a selection of equations generated by the variation of two parameters.
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    testing integration subroutines
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    second-order
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    nonlinear
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    harmonic equation
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    variable step-size numerical integration
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    comparison
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