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A nonlinear trapezoidal formula for the solution of initial value problems - MaRDI portal

A nonlinear trapezoidal formula for the solution of initial value problems (Q1099593)

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scientific article; zbMATH DE number 4041190
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English
A nonlinear trapezoidal formula for the solution of initial value problems
scientific article; zbMATH DE number 4041190

    Statements

    A nonlinear trapezoidal formula for the solution of initial value problems (English)
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    1988
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    A stable nonlinear trapezoidal method based on the geometric mean of the function \(f(x_ n,y_ n)\) and \(f(x_{n+1},y_{n+1})\) for the initial value problem \(y'=f(x,y)\), \(y(0)=y_ 0\) is developed.
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    numerical examples
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    trapezoidal method
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    stiff problems
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    \(A\)-stability
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