Diagonally implicit block backward differentiation formulas for solving ordinary differential equations (Q1925565)

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scientific article; zbMATH DE number 6116549
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Diagonally implicit block backward differentiation formulas for solving ordinary differential equations
scientific article; zbMATH DE number 6116549

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    Diagonally implicit block backward differentiation formulas for solving ordinary differential equations (English)
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    18 December 2012
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    Summary: This paper focuses on the derivation of diagonally implicit two-point block backward differentiation formulas (DI2BBDF) for solving first-order initial value problem with two fixed points. The method approximates the solution at two points simultaneously. The implementation and the stability of the proposed method are also discussed. A performance of the DI2BBDF is compared with the existing methods.
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    diagonally implicit two-point block backward differentiation formulas
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    first-order initial value problems
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    stability
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